Answer:
The question?
Step-by-step explanation:
we need question to answer
Margin of error: 0.007, confidence level 94%
The minimum sample size required for a 94% confidence interval with a margin of error of 0.007, using the z-distribution, is of:
18,033.
What is a confidence interval of proportions?A confidence interval of proportions has the bounds obtained by the rule presented as follows:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which the variables used to calculated these bounds are presented and explained as follows:
\(\pi\) is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The margin of error is given by:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
The confidence level is of 94%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.94}{2} = 0.97\), so the critical value is z = 1.88.
We have no estimate of the population proportion, hence we consider \(\pi = 0.5\), which is when the largest sample size is required.
The margin of error is of M = 0.007, hence the sample size required is obtained as follows:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
\(0.007 = 1.88\sqrt{\frac{0.5(0.5)}{n}}\)
\(0.007\sqrt{n} = 1.88 \times 0.5\)
\(\sqrt{n} = \frac{1.88 \times 0.5}{0.007}\)
\((\sqrt{n}) = \left(\frac{1.88 \times 0.5}{0.007}\right)^2\)
n = 18,033.
The sample size was rounded up, as a sample size of 18,032 would result in a margin of error slightly above the desired 0.007.
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At the beginning of the day the stock market goes down 30 3/4 points and stays at this level for most of the day. At the end of the day the stock market 100 1/2 points from the low at the beginning of the day. What is the total change in the stock market from the beginning of the day to the end of the day?
Complete question:
At the beginning of the day the stock market goes down 30 3/4 points and stays at this level for most of the day. At the end of the day the stock market goes up 100 1/2 points from the low at the beginning of the day. What is the total change in the stock market from the beginning of the day to the end of the day?
Answer:
The total change in the stock market is \(69\frac{3}{4}\)
Step-by-step explanation:
Given;
the stock market at the beginning of the day = 30 3/4 points
the stock market at the end of the day = 100 1/2 points
The total change in the stock market from the beginning of the day to the end of the day is given by;
100 1/2 points - 30 3/4 points
\(= (100 -30) + (\frac{1}{2} -\frac{3}{4} )\\\\= 70 + (-\frac{1}{4} )\\\\= 70 - \frac{1}{4}\\\\= 69\frac{3}{4}\)
Therefore, the total change in the stock market is \(69\frac{3}{4}\)
Supercalifragilisticexpialidocious
63x+54b
3ac+bc
2xy+11zy
Answer:
thx
Step-by-step explanation:
srdhtfgjbnxdtcfjghvbnszxdfcghv bn
Select the correct answer from the drop-down menu.
Triangle ABC is shown with angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees.
In this triangle, the product of tan A and tan C is
.
In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.
The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.
We have to find the product of tan A and tan C.
In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.
So, we have, tan A = tan C
Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.
Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.
Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.
Answer: `(BC)^2/(AB)^2`.
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Quadrilateral GHIJ is dilated by a scale factor of 2 to form quadrilateral G'H'I'J'. What is the measure of side H'I'?
When a figure is dilated by a scale factor of 2, it means that all corresponding sides of the original figure are multiplied by 2 to obtain the corresponding sides of the dilated figure. The measure of side H'I' is twice the measure of side HI.
When a figure is dilated by a scale factor of 2, it means that all corresponding sides of the original figure are multiplied by 2 to obtain the corresponding sides of the dilated figure. In this case, side H'I' corresponds to side HI.
If the measure of side HI is x units, then the measure of side H'I' will be 2 times x, which is 2x units. Therefore, the measure of side H'I' is twice the measure of side HI.
By applying the scale factor of 2, the length of side H'I' is doubled compared to the length of side HI. This is a general property of dilations with a scale factor greater than 1, where corresponding sides are proportional and the lengths of corresponding sides are multiplied by the scale factor.
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A survey was conducted two years ago asking college students their top motivation for using a credit card. To determine whether the distribution has changed, you randomly select 425 college students and ask each one what the top motivation is for using a credit card. Can you conclude that there has been a change in the claimed or expected distribution? Use α
= 0.5.
Response Old Survey % New Survey Frequency, f
Rewards 29% 112
Low Rates 23% 97
Cash Back 22% 108
Discounts 7% 47
Other 19% 61
(a) What is the null hypothesis and alternative hypothesis, and which one is claimed?
(b) Determine the critical value and rejection region.
(c) Calculate the test statistic.
(d) Reject or fail to reject the null hypothesis. Interpret the decision in the context of the original claim.
We reject the Nullhypothesis, we can interpret the decision as evidence that there has been a change in the top motivation for using a credit card among college students. However, if we fail to reject the null hypothesis, we cannot conclude that there has been a change.
To determine if there has been a change in the claimed or expected distribution of the top motivation for using a credit card among college students, a hypothesis test can be conducted. The null hypothesis would be that there is no change in the distribution, while the alternative hypothesis would be that there is a change.
Using the given information, we can calculate the expected distribution based on the survey conducted two years ago. Then, we can compare it to the distribution obtained from the current sample of 425 college students using a chi-square test. Assuming a significance level of 7%, the critical value for the chi-square test with 4 degrees of freedom (5 categories - 1) is 9.488. The rejection region would be any chi-square value greater than or equal to 9.488.
Once the test is conducted and the chi-square value is calculated, we compare it to the critical value and the rejection region. If the chi-square value falls in the rejection region, we can reject the null hypothesis and conclude that there has been a change in the claimed or expected distribution. On the other hand, if the chi-square value falls below the critical value, we fail to reject the null hypothesis and cannot conclude that there has been a change.
In this context, if we reject the null hypothesis, we can interpret the decision as evidence that there has been a change in the top motivation for using a credit card among college students. However, if we fail to reject the null hypothesis, we cannot conclude that there has been a change.
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The null hypothesis is that the distribution of top motivations for using a credit card among college students has not changed since the old survey. The alternative hypothesis is that the distribution has changed. The alternative hypothesis is claimed.
(b) The critical value and rejection region depend on the significance level chosen for the test. Assuming α = 0.05, the critical value for a chi-square goodness-of-fit test with 4 degrees of freedom is 9.488. The rejection region is the set of chi-square values greater than 9.488.
(c) We need to calculate the test statistic, which is the chi-square statistic for testing the goodness-of-fit of the observed frequencies to the expected frequencies under the null hypothesis. We can calculate the expected frequencies by multiplying the proportions from the old survey by the total sample size of 425:
Expected frequency for Rewards: 0.29 * 425 = 123.25
Expected frequency for Low Rates: 0.23 * 425 = 97.75
Expected frequency for Cash Back: 0.22 * 425 = 93.50
Expected frequency for Discounts: 0.07 * 425 = 29.75
Expected frequency for Other: 0.19 * 425 = 80.25
We can now calculate the chi-square statistic:
chi-square = Σ [(f_obs - f_exp)^2 / f_exp]
= [(112 - 123.25)^2 / 123.25] + [(97 - 97.75)^2 / 97.75] + [(108 - 93.50)^2 / 93.50] + [(47 - 29.75)^2 / 29.75] + [(61 - 80.25)^2 / 80.25]
= 6.606
(d) To decide whether to reject or fail to reject the null hypothesis, we compare the test statistic to the critical value. The test statistic is 6.606, which is less than the critical value of 9.488. Therefore, we fail to reject the null hypothesis. We do not have sufficient evidence to conclude that there has been a change in the claimed or expected distribution of top motivations for using a credit card among college students.
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find the quantities of 18% of 50
Answer:
9
Step-by-step explanation:
18%of 50
18/100×50
0.18×50= 9
Answer:
9
Step-by-step explanation:
18% of 50
We can rewrite it as,
% = 1/100of = *(into)> 18/100 * 50
Solving,
18/100 * 5018/10 * 518/29Hence,18% of 50 = 9
(x + yi) + (4 + 9i) = 9 - 4i
Answer:
x
=
5
−
y
i
−
13
i
Step-by-step explanation:
cho hàm số y=(m-1)x+5,y=2x(m+3).a, tìm m để hàm số (1) qua điểm k (-1,2021) .c, tìm m để đồ thị hàm số (1)(2) cắt nhau tại điểm m tọa độ (x;y)thỏa mãn 2+y=-17
Answer:
The curve meets the coordinate axes at the points A(0, 1 – k) and 1 B(. ) ... 2x + 1. (d) Find the value of k. (4). (Total 12 marks). 7. –5. 5 x y. O. M (2, 4).Step-by-step explanation:
the only calculated fields you can create in access are those involving addition and subtraction. True or false?
Answer:
false
Step-by-step explanation:
False.
Access supports a wide range of built-in functions and operators that can be used to create calculated fields. These functions and operators include mathematical functions (such as multiplication, division, exponentiation), string functions (such as concatenation, trimming, and formatting), date and time functions, aggregate functions (such as sum, average, count), and more.
In addition, Access also allows you to create user-defined functions using VBA (Visual Basic for Applications), which can be used to perform custom calculations on your data.
Therefore, the statement "the only calculated fields you can create in Access are those involving addition and subtraction" is false.
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please help brainliest for correct answer
Answer: i think its a or d
Step-by-step explanation:hope
i helped
Mrs. Figueroa made a spaghetti dinner for the cheerleaders after practice. She purchased four and three fourths pounds of beef for $3.99 per pound. How much money did she spend on the beef for the spaghetti?
$7.25
$8.87
$9.98
$18.95
The total amount that Mrs. Figueroa spent on the beef for the spaghetti is D. $18.95.
What is the total cost?The total cost of an item is the quantity (units) multiplied by the unit cost price.
For Mrs. Figueroa to determine the total amount she spent on the beef, she has to multiply the unit cost ($3.99) by the units (4.75 pounds).
Data and Calculations:The number of pounds of beef purchased = 4³/₄ or 4.75 pounds
Cost of beef per pound = $3.99
Total cost of beef = $19.95 ($3.99 x 4.75)
Thus, the total amount that Mrs. Figueroa spent on the beef for the spaghetti is D. $18.95.
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Answer:
18.95
Step-by-step explanation:
2 2/6 ×3 what's the answer???
2 2/6 times 3 is 7. Hope that helps!!
What do i do if i broke a girls heart and what to make it up to her?
Answer:
flowers?
Step-by-step explanation: hope this helps
Answer:
well tbh you can only make it up to her if she lets you and it depends if she even wants anything to do with you like at all after you have broken her heart you can try talking to her first and then go from there many get her flowers or like a teddy bear actually do both if she will allow you to make it up to her do anything and everything possible to make it better if she lets you
Step-by-step explanation:
im in nearpod
answer show wrk
Answer:15 boxes with 4 left over have a great day :)
Step-by-step explanation:
Helppppppppppp me please
Answer:
Step-by-step explanation:\Write an expression for the sequence of operations describe below Add C and the quotient of 2 and D do not simplify any part of the expression
A=|3x-6| + 2 , xeR
prove that:
A=3x-4 for every x≥2
Answer:
We know that the function IxI is such that:
IxI = x if x ≥ 0
IxI = -x if x < 0.
In this case, we have:
A = I3x - 6I + 2
If we do the same as above, we can write:
A = (3x - 6) + 2 if (3x - 6) ≥ 0
Let's look at the condition in the right, let's isolate the variable:
(3x - 6) ≥ 0
3x ≥ 6
x ≥ 6/3 = 2
Then the condition:
(3x - 6) ≥ 0
is equivalent to:
x ≥ 2
Then we can write:
A = (3x - 6) + 2 if x ≥ 2
If we simplify it further, we get:
A = 3x - 6 + 2 if x ≥ 2
A = 3x - 4 if x ≥ 2
This is what we wanted to prove.
The following data was obtained from the entire population in small town of Texas. Individuals were classified into whether they were of normal weight or overweight based on the Body Mass Index (BMI). Cholesterol levels were also measured from every individual and classified as high or low. High cholesterol Low cholesterol Overweight 324 450 Normal weight 368 890 Calculate the conditional probability of sampling an individual that is overweight given that the individual has high cholesterol.
If the number of people who are overweight and have high cholesterol is 324, the number of people who are overweight and have low cholesterol is 450, the number of people who are normal weight and have high cholesterol is 368, and the number of people who are normal weight and have low cholesterol is 890, then the conditional probability of sampling an individual that is overweight given that the individual has high cholesterol is 46.8%
To find the conditional probability of sampling an individual that is overweight given that the individual has high cholesterol, follow these steps:
Let A be the event of selecting an individual who is overweight and B be the event of selecting an individual who has high cholesterol. The formula for calculating conditional probability, P(A/B) = P(A ∩ B) / P(B), where P(A∩B) represents the probability of the intersection of A and B events and P(B) represents the probability of the occurrence of event B.P(A/B) = P(overweight ∩ high cholesterol) / P(high cholesterol) ⇒P(high cholesterol) = total number of individuals with high cholesterol / Total population= (324 + 368) / (324 + 450 + 368 + 890)= 692 / 2032P (overweight ∩ high cholesterol) = Number of overweight individuals with high cholesterol / Total population= 324 / 2032∴ P(A/B) = P(overweight ∩ high cholesterol) / P(high cholesterol)= 324 / 692= 0.468 = 46.8%Hence, the conditional probability of sampling an individual that is overweight given that the individual has high cholesterol is 46.8%.
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Which of the following statements is true in its conditional and converse forms?
If K is between points J and L, then K is a midpoint.
If a polygon has 3 sides, then the sum of its interior angles is 180°.
If two angles are right angles, then they are congruent.
If B is the midpoint of AC¯¯¯¯¯¯¯¯, then AB = BC.
The converse statement involves switching the hypothesis and the conclusion of a conditional statement.
The correct statement is (d) If B is the midpoint of AC, then AB = BC.
The converse of the given conditional statements are:
If K is a midpoint, then K is between points J and LIf the sum of interior angles is 180°, then the polygon has 3 sidesIf two angles are congruent, then they are right anglesIf AB = BC, then B is the midpoint of ACFrom the above statements, (a), (b) and (c) are not the same as the conditional statement, because:
Point K does not have to be between points J and L to be a midpoint.The sum of interior angles of all polygons (whether it has 3 sides or more) is 180 degreesCongruent angles may not be right anglesFor option (d):
For B to be a midpoint of AC, it means that sides AB and BC are congruent.
Hence, the correct statement is (d)
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Alex drove for 3 hours at an average speed of 60 miles per hour and for 2 hours at 45 miles per hour. What is his average speed for the whole journey?
Average speed for the whole journey = 53.67 miles per hour.
What is Speed?
A scalar quantity, speed is defined as the size of the change in an object's location over time or the size of the change in an object's position per unit of time.
The Average speed:-
"The average speed of any object is the total distance traveled by that object divided by the total time elapsed to cover the said distance".
= total distance/total time
According to the Question
We have;
-------> ALEX drove for 3 hours at a rate of 60 miles per hour.
-------> and ALEX drove for 2 hours at a rate of 45 miles per hour.
We know that;
speed = distance/ time
Now we can write it as;
distance = speed *time
Consider the first statement of the Question;
-------> John drove for 3 hours at a rate of 60 miles per hour.
Here, speed = 60 miles per hour.
Time = 3 hours.
Putting in the above then we get;
distance = 60*3
distance =180
Consider the second statement of the Question;
-------> John drove for 2 hours at a rate of 45 miles per hour.
Here, speed = 45 miles per hour.
Time = 2 hours.
Putting in the above then we get;
distance = 45*2
distance =90
-----> Now find the Average speed of John.
We have;
The distance in the first part;
miles. at time 3 hours.
The distance in the second part;
miles. at time 2 hours.
We have;
The average speed = 53.67 miles per hour
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1 and 4 are supplementary and 2 and 3 are supplementary because they are corresponding angles.
Proved that angle 2 is congruent to angle 4 (∠2 ≅ ∠4).
What are supplementary angles?Supplementary angles are those that total 180 degrees. Angles 130° and 50°, for example, are supplementary angles because the sum of 130° and 50° equals 180°.To proof:
Given:
Angles 1 and 2 are supplementary.Angles 3 and 4 are supplemental.Angle 1 is parallel to angle 3.Show that angle 2 and angle 4 are congruent.This proof includes definitions of congruence and supplementary angles, as well as some equality properties.
∠1 and ∠2 are supplementary (given)∠3 and ∠4 are supplementary (given)∠1 ≅ ∠3 (given)m∠1 + m∠2 = 180°m∠3 + m∠4 = 180° m∠1 + m∠2 = m∠3 + m∠4 (transitive property of equality)m∠1 = m∠3 9congruent angles)m∠1 + m∠2 = m∠1 + m∠4 (substitution property of equality) (replaced m∠3 with m∠1)m∠2 = m∠4 (subtraction property of equality) (subtracted m∠1 from both sides)∠2 ≅ ∠4 (congruent angles)Therefore, the proving is shown.
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The correct question is given below;
Angle 1 and angle 2 are supplementary. Angle 3 and angle 4 are supplementary. Angle 1 is congruent to angle 3. Prove: Angle 2 is congruent to angle 4.
what is the result of the following sql statement? update employee set salary = 50000 where salary < 50000;
The result of this statement would be that all employees with a salary less than 50000 would have their salaries updated to 50000 at a specific column.
1. The UPDATE statement is used to modify the existing records in a table.
2. The statement begins with the keyword UPDATE followed by the name of the table, in this case "employee".
3. The SET keyword is then used to specify the column and value to update, in this case "salary" to 50000.
4. The WHERE clause is used to specify which records should be updated, in this case all records where the salary is less than 50000.
5. The result of this statement would be that all employees with a salary less than 50000 would have their salaries updated to 50000.
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a. Write an equation that represents the sum of the angle measures of the triangle. The equation is $=180$=180 .
Answer:
$=19$=19
Step-by-step explanation:
water is flowing into a vertical cylindrical tank at the rate of 5. if the radius is 3, then what is the rate at which the height of the water is rising
For a vertical cylindrical water tank where the rate of flowing is 5 cubic metre per minute. The rate at which the height of the water is rising is equals to the \( \frac{5}{9π }\) metre per minute.
We have, water flowing into a vertical cylinder. Let the radius, height and volume of cylindrical tank be r metre, h metre and V cubic metre respectively. Now, Rate of water flow in tank, \( \frac{dV}{dt}\) = 5 cubic m /min
Radius of cylindrical tank, r = 3 m
We have to determine rate at which height of the water is rising, i.e., dh/dt. As we know, Volume of cylindrical water tank, V = πr²h --(2)
Differentiating equation (2) with respect to time t,
=> \( \frac{ dV}{dt }= π(r)²\frac{dh}{dt}\)( since, radius of cylinder is constant)
=> \(5 = π(3)² \frac{ dh}{dt}\)
=> \(5 = 9π \frac{dh}{dt}\)
=> \( \frac{ dh}{dt} = \frac{5}{9π }\)
Hence, the required rate is \( \frac{5}{9π }\)m/min.
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3) 5 fl. oz. of a 2% alcohol solution was mixed with 11 fl.
oz. of a 66% alcohol solution. Find the concentration of
the new mixture.
Answer:
The concentration of the new mixture is 46%
Step-by-step explanation:
The first solution of 5 fl. oz. is concentrated at 2% alcohol. The amount of alcohol in the solution is:
5*2/100=0.1 fl. oz.
The second solution of 11 fl. oz. is 66% alcohol. The amount of alcohol in the solution is:
11*66/100=7.26 fl. oz.
The total alcohol in the mixture is
0.1 + 6.6 = 7.36 fl. oz.
The total amount of the mixture is:
5 + 11 = 16 fl.oz.
The concentration of the new mixture is:
7.36 / 16 * 100 = 46%
The concentration of the new mixture is 46%
Hi! I’m giving a thanks to whoever answers first!! Pls and ty. I need help. Look in picture.
Answer:
\( V = 628.5 \ unit^3 \)
Step-by-step explanation:
We can use here the formula of the Volume of cone. The volume of cone is ,
\(\implies V = \dfrac{1}{3}\pi r^2 h \\\\\implies V = \dfrac{4}{3} \pi (5)^2 \times 6 \\\\\implies V = \dfrac{4}{3} \times \dfrac{22}{7} \times 25 \times 6 \\\\\implies \boxed{\boxed{ V = 628.5 \ unit^3 }}\)
the students at Woodward elementary voted for a schools mascot the falcon won with 5/8 and the eagle came in second with 1/3 of the remaining votes if 536 students voted for a mascot how many students voted fo the eagle
One third written as a fraction is 1/3. You can also write it as a decimal by simply dividing 1 by 3 which is 0.33.
If you multiply 0.33 with 536 you will see that you will end up with the same answer as above.
You may also find it useful to know that if you multiply 0.33 with 100 you get 33.33. Which means that our answer of 178.67 is 33.33 percent of 536.
Solution : 178.67
Player A throws the ball to Player
B who then throws the ball the
Player C. How Far did the ball
travel given each player's position
indicated below?
Round to the nearest hundredth.
Player A: (2, 4)
Player B: (16, 9)
Player C: (25, 16)
The ball traveled approximately \(26.27\) units in total.
To calculate the distance the ball traveled, we can use the distance formula between two points in a Cartesian coordinate system.
Distance = \(\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1} )^{2} }\)
Let's calculate the distance between Player A and Player B first:
Distance_AB =
\(\sqrt{((16-2)^{2}+(9-4)^{2}) }\)
\(= \sqrt{(14^{2}+5^{2} ) } \\= \sqrt{(196 +25)} \\= \sqrt{221} \\= 14.87\)
Now, let's calculate the distance between Player B and Player C:
Distance_BC =
\(\sqrt{ ((25 - 16)^2 + (16 - 9)^2)}\\= \sqrt{ (9^2 + 7^2)}\\= \sqrt{(81 + 49)}\\= \sqrt{130}\\=11.40\)
Finally, we can calculate the total distance traveled by adding the distances AB and BC:
Total distance = Distance_AB + Distance_BC
\(= 14.87 + 11.40 \\= 26.27\)
Starting from Player A at \((2, 4),\) it was thrown to Player B at \((16, 9),\) covering a distance of about \(14.87\) units. From Player B, the ball was then thrown to Player C at \((25, 16),\) covering an additional distance of approximately \(11.40\) units.
Combining these distances, the total distance the ball traveled was approximately \(26.27\) units.
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Given that YZ bisects VW, and VX = 46, find XW
Answer:
XW = 134
Step-by-step explanation:
The fact that YZ bisects VW means that the angles VX and XW are supplementary, that is, they add to 180º. So
VX + XW = 180
We have that VX = 46. So
46 + XW = 180
XW = 134
please help it's due today, And please if you don't know the answers don't put any links or apps. And if you do know the answer plz help me.I'll mark as brainliest
the first one is 3. and the second is 1.
Answer:
B (1): iii
B(2): ii
Step-by-step explanation:
B(1): answer choice 3 is the only answer increasing at a constant rate.
B(2): answer choice two is the only answer not increasing at a constant rate