Answer:
81 degrees
Step-by-step explanation:
Applying the inscribed angle theorem, the measure of ∠EAB is: 81°.
What is the Inscribed Angle Theorem?The inscribed angle theorem states that an intercepted arc measure is always twice the measure of the inscribed angle in a circle.
Given the following:
Inscribed angle = ∠EABIntercepted arc = ADB = 162°We would therefore have the following:
1/2(ADB) = m∠EAB
Substitute
1/2(162) = m∠EAB
m∠EAB = 81°
Therefore, applying the inscribed angle theorem, the measure of ∠EAB is: 81°.
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Mia took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.30 plus $4.25 per mile. The total fare was $31.05, not including the tip. How many miles was the taxi ride?
The taxi ride was 7 miles
How to calculate the number of miles ?Mia took a taxi from her house to the airport
The taxi charged a pick up fee of $1.30
They also charged $4.25 per mile
The total fare was $31.05
The number of miles can be calculated as follows
31.05 - 1.30 = 4.25x
29.75= 4.25x
Divide both sides by the coefficient of x which is 4.25
29.75/4.25= 4.25x/4.25
x= 7
Hence the taxi ride was 7 miles
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PLS HELP idk how to do this
Answer:
this figure regular hexagon have rotation symmetry. The order is 6 and the degrees is 120
The area of a rectangle is at least 10 more than 3 times the width of the rectangle. If the area of the rectangle is at least 250 square units, what are the possible values for the width (w) of the rectangle?
who can helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
24 units
Step-by-step explanation:
6 times 8 =48
48 divided by 1/2 = 24
Write the explicit formula for the arithmetic sequence below. 14, 9, 4, -1, ...
Step-by-step explanation:
To find the next term or number, we'll need to keep subtracting 5. So the formula is: n-5
Examine the triangle below, find the mZD =
[Select]
7.
V
[Select]
V
,m
, m/M = 66.6
The measure of angle D, m∠D, found using the specified lengths of the three sides of the triangle and the law of cosines is; m∠D = 75.7°
What is the law of cosines?The law of cosines specifies the relationship between the measures of an angle, and the lengths of the three sides of a triangle. Specifically, the law of cosines states that the square of the length of a (reference) side of a triangle, is equivalent to the sum of the squares of the lengths of the other two sides, less the product of 2, the lengths of the other two sides and the cosine of the angle opposite to the reference side.
Mathematically, the law of cosines can be presented as follows;
a² = b² + c² - 2·b·c·cos(A)Where;
a, b, and c are the lengths of the three sides of the triangle
Angle A, ∠A, is the opposite angle to side a.
Therefore, according to the law of cosines, we get;
38² = 36² + 24² - 2 × 36 × 24 × cos(∠D)
2 × 36 × 24 × cos(∠D) = 36² + 24² - 38² = 428
2 × 36 × 24 × cos(∠D) = 428
cos(∠D) = 428/(2 × 36 × 24) = 428/1728 = 107/432
cos(∠D) = 107/432
m∠D = arccos(107/432) ≈ 75.7°
The measure of angle D, m∠D ≈ 75.7°
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Eric is baking cupcakes. His recipe calls for 25% sugar, 25% egg, and 50% flour. he has plenty of sugar, 200 grams of egg, and 380 grams of flour. Which is the limiting ingredient? If one cupcake is 20 grams, how many cupcakes can Eric make?
38 cupcakes can Eric make.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
According to the recipe, one cupcake requires 25% sugar, 25% egg, and 50% flour.
To convert the percentages to actual quantities, we can multiply the amount of each ingredient by 20 (the weight of one cupcake) and divide by 100.
Sugar: 25% × 20g = 5g
Egg: 25% × 20g = 5g
Flour: 50% × 20g = 10g
Eric has 200 grams of egg,
200g / 5g = 40 cupcakes.
Eric has 380 grams of flour
380g / 10g = 38 cupcakes.
Hence, 38 cupcakes can Eric make.
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Please help this is due Tomorrow
Point located at each location: 1) A 2) I 3) W 4) H 5) X 6) G 7) J 8) N 9) U 10) M 11). Ordered pairs are: B(2,8) 12) E(0,0) 13) T(3,3) 14) Q(8,7) 15) Y(7,6) 16) R( 9,8) 17) F(9,0) 18) S(3,6) 19) C(6,7)
Describe Ordered pair?An ordered pair is a pair of mathematical object elements, such as numbers or other mathematical elements, where the order in which the object elements are listed is important. The ordered pair is usually written in the form (a, b), where 'a' represents the first element or coordinate, and 'b' represents the second element or coordinate.
In the context of the Cartesian coordinate system, an ordered pair represents a point in two-dimensional space, where the first element or coordinate represents the horizontal position on the x-axis and the second element or coordinate represents the vertical position on the y-axis. The order of the elements in an ordered pair is crucial because (a, b) is different from (b, a) and represents a different point in two-dimensional space.
Point located at each location is:
1) A
2) I
3) W
4) H
5) X
6) G
7) J
8) N
9) U
10) M
The ordered pair for given points is:
11) B(2,8)
12) E(0,0)
13) T(3,3)
14) Q(8,7)
15) Y(7,6)
16) R( 9,8)
17) F(9,0)
18) S(3,6)
19) C(6,7)
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There is another bag of red and yellow footballs with a ratio of 4:3. If there are 20 red footballs in the bag, how many footballs are there in total?
Answer:
35
Step-by-step explanation:
take no. of red footballs be 4x and yellow footballs be 3x
4x=20, x=5
=> 3(5)= 15
total no. of footballs= 20+15= 35
A single ticket to the magic show costs ttt dollars, but there is a discount of 5\%5%5, percent per ticket if a group buys 101010 tickets.
The expression 10t-10\cdot 0.05t10t−10⋅0.05t10, t, minus, 10, dot, 0, point, 05, t describes the total cost of buying 101010 tickets for a group.
Match each amount in the situation with the expression that represents it.
Situation
Expression
(Kahn academy)
The total cost for the group of ten people after discount is 10 t - 0.5 t.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Discount = 5%
Total tickets= 10
We have t represents the cost of one ticket.
So, For 10 person the cost of the ticket = 10t
Now, after discount the price of tickets
= 5% of 10t
= 0.5 t
Hence, the total cost for the group of ten people after discount is 10 t - 0.5 t.
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WILL GIVE 30 POINTS AND BRAINLIEST PLS HELP
Answer:
b
Step-by-step explanation:
This a very difficult question but im pretty sure its b
Triangle ABC with vertices at A(4, 3), B(3, −2), C(−3, 1) is dilated using a scale factor of 1.5 to create triangle A′B′C′. Determine the vertex of point A′.
The vertex of point A' in the dilated triangle A'B'C' is (6, 4.5).
1. Start by calculating the distance between the vertices of the original triangle ABC:
- Distance between A(4, 3) and B(3, -2):
Δx = 3 - 4 = -1
Δy = -2 - 3 = -5
Distance = √((-\(1)^2\) + (-\(5)^2\)) = √26
- Distance between B(3, -2) and C(-3, 1):
Δx = -3 - 3 = -6
Δy = 1 - (-2) = 3
Distance = √((-6)² + 3²) = √45 = 3√5
- Distance between C(-3, 1) and A(4, 3):
Δx = 4 - (-3) = 7
Δy = 3 - 1 = 2
Distance = √(7² + 2²) = √53
2. Apply the scale factor of 1.5 to the distances calculated above:
- Distance between A' and B' = 1.5 * √26
- Distance between B' and C' = 1.5 * 3√5
- Distance between C' and A' = 1.5 * √53
3. Determine the coordinates of A' by using the distance formula and the given coordinates of A(4, 3):
- A' is located Δx units horizontally and Δy units vertically from A.
- Δx = 1.5 * (-1) = -1.5
- Δy = 1.5 * (-5) = -7.5
- Coordinates of A':
x-coordinate: 4 + (-1.5) = 2.5
y-coordinate: 3 + (-7.5) = -4.5
4. Thus, the vertex of point A' in the dilated triangle A'B'C' is (2.5, -4.5).
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What is 1 percent of 510
Answer: " 5.1 " .
____________
Step-by-step explanation:
____________
To find 1 percent (i.e. " 1% " ) of: 510 ;
Note: 1 % = (1 /100) = (1 ÷ 100) ;
Note the following about "dividing by "100" ;
We take the number: "510" in our case;
and move the decimal point "2 (two) places backward" .
We move it "backward" (instead of "forward") because we are "dividing" ;
and we are moving the decimal point "2 (two)" spaces backward; since we are dividing by "100" ; which has "2 (two) zeros" .
So: " (510.) ÷ 100 " ;
Take: " 510." ; and move the decimal point two (2) spaces backward:
5.10.
↩
To get: " 5.10 " ; which we can simplify as:
→ " 5.1 " ; which is our answer.
Hope this is helpful to you! Wishing you well!
____________
parallel highways are crossed by a street, as shown below. Choose all the correct answers!! also explain why you chose them with a good explanation. I will mark you brainliest!
As per the congruency theorem,
Angles b and g are congruent.
The measures sum of angles b and c is 180°.
What are congruent angles?Angles of equal measure are said to have congruent angles. Hence, all angles with the same measure are referred to as congruent angles.
They appear everywhere, including in isosceles and equilateral triangles, as well as when a transversal connects two parallel lines.
Here in the given question,
The angles b and g are congruent as these two angles are opposite interior angles.
As per the theorem, opposite interior angles are equal to each other.
The sum of the two corresponding interior angles as per the theorem is equals to 180°.
So, the sum of angle b and angle c = 180°.
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A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below.
A graph for p of x is a downward open parabola with its vertex at (5, 725) and passes through the points (negative 10, 0), and (20, 0).
Use the graph to complete each statement about this situation.
The maximum profit the florist will earn from selling celebration bouquets is $.
The florist will break-even after one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is ( , ).
Answer:
The maximum profit the florist will earn from selling celebration bouquets is $725.
The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.
Step-by-step explanation:
Lines MN and GH are parallel. If the measure of angle 6 is 45°, what is measure of angle 4?
Answer: It will be A that is the best answers
f 36 ÷ 12 = 3, then 12 multiplied by 3 must equal
Answer: 36
Step-by-step explanation:
12 + 12 + 12 (or 12 x 3) = 36
Leon wants to pick out an outfit for the school dance. He can choose from 4 pairs of pants, 7 shirts, and 2 pairs of shoes. How many different outfits does Leon have to choose from?
Answer:
Step-by-step explanation:
First he has to decide on a pair of pants and he has 4 different choices.
For each of those choices he has a choice of 7 different shirts, so that gives him 4 times 7 = 28 different pant/shirt combinations. (I hope none of the pants are striped and none of the shirts have polka-dots).
For each those 28 possibilities, he has 5 different ties he could select, so altogether he has 28 times 5 = 140 different outfits, and some of them may be acceptable to wear in public.
It is simply , 4*5*7=140 ways.
Change the word phrase to an algebraic expression. Use x as the variable to represent the number.
16 subtracted from a number
Let x = the number.
16 subtracted from a number can be written as…
Answer:
I think the answer is
x-16
since 16 is subtracted from x.
I hope this helps
Which equation is equivalent to 2 Superscript 4 x Baseline = 8 Superscript x minus 3?
2 Superscript 4 x Baseline = 2 Superscript 2 x minus 3
2 Superscript 4 x Baseline = 2 Superscript 2 x minus 6
2 Superscript 4 x Baseline = 2 Superscript 3 x minus 3
The equivalent exponential equations are given as follows:
\(2^{4x} = 2^{3(x - 3)}\)
How to obtain the equivalent exponential expression?The exponential expression for this problem is defined as follows:
\(2^{4x} = 8^{x - 3}\)
The number eight is the third power of 3, that is:
8 = 2³.
The power of a power rule is used when a single base is elevated to multiple exponents.
Then the simplified expression is obtained keeping the base, while the exponents are multiplied.
Meaning that the equivalent expression on the right side of the equality in this problem is given as follows:
\(8^{x - 3} = (2^3)^{x - 3} = 2^{3(x - 3)}\)
Meaning that the correct option is given by the fourth option.
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I need the steps. Please help me. Thanks!
Answer:35x^3 + 15x^2 + 42xz + 28x + 18z + 12
Step-by-step explanation:
(7x + 3) (5x^2 + 6z + 4)
7 (5^2 + 6 + 4) +3 (5^2 + 6 + 4)
35^3 +42 + 28 + 15^2 + 18 + 12
35^3 + 15x^2 + 42xz + 28x + 18z + 12
The school football team is hosting a fundraiser dinner. Tickets are $20 for adults, $15 for seniors, and $6 for children. The expression 20a + 15s + 6c represents the total sales for a adult, s senior tickets, and c child tickets. Mariel sold 6 adult, 4 senior, and 8 child tickets.
20a + 15s + 6c = 20 (6) + 15 (4) + 6 (8) = ? + ? + ?
Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 618 randomly selected adults showed that 59% of them would erase all of their personal information online if they could. Find the value of the test statistic.
The value of the test statistic is given as follows:
z = 4.47.
How to obtain the test statistic?The equation to calculate the test statistic using the z-distribution is given as follows:
\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)
In which:
\(\overline{p}\) is the sample proportion.p is the expected value.n is the sample size.The parameters for this problem are given as follows:
\(\overline{p} = 0.59, p = 0.5, n = 618\)
p = 0.5 as the most term means that we are testing if the proportion is either less than or greater than 0.5.
Then the test statistic is obtained as follows:
\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)
\(z = \frac{0.59 - 0.5}{\sqrt{\frac{0.5(0.5)}{618}}}\)
z = 4.47.
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F(x) = 1/3(4-x)2 what is the value of f (16)
Answer:
-8
Step-by-step explanation:
Write a numerical expression that represents the number of increments it will take Ashley to reach -60 feet.
Answer:
-60 divided by -10
Answer:
answer on edmentum.
Step-by-step explanation:
National results for the SAT test show that for college-bound seniors the average combined SAT Writing, Math and Verbal score is 1500 with a standard deviation of 250. National results for the ACT test show that for college-bound seniors the average composite ACT score is 20.4 with a standard deviation of 4.8.
Sean took both the SAT and the ACT college entrance exams. His SAT score was 1700 and his ACT score was 24. He wants to know on which test he performed better.
Find the z-scores for his result on each exam.
Comparing the z-scores, we can see that Sean's SAT score is slightly higher relative to the mean and standard deviation of the SAT population than his ACT score is relative to the mean and standard deviation of the ACT population.
How to find Z-score value?To find the z-score for Sean's SAT score, we use the formula:
z = (x - μ) / σ
where x is Sean's SAT score, μ is the population mean (1500), and σ is the population standard deviation (250). Substituting the values, we get:
z = (1700 - 1500) / 250 = 0.8
Therefore, Sean's z-score on the SAT is 0.8.
To find the z-score for Sean's ACT score, we use the formula:
z = (x - μ) / σ
where x is Sean's ACT score, μ is the population mean (20.4), and σ is the population standard deviation (4.8). Substituting the values, we get:
z = (24 - 20.4) / 4.8 = 0.75
Therefore, Sean's z-score on the ACT is 0.75.
Comparing the z-scores, we can see that Sean's SAT score is slightly higher relative to the mean and standard deviation of the SAT population than his ACT score is relative to the mean and standard deviation of the ACT population.
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The number of chocolate chips in a single chocolate chip cookie is approximately normally distributed with a mean of 12.5 chocolate chips and a standard deviation of 2.1 chocolate chips. What is the probability that a randomly selected chocolate chip cookie contains fewer than 10 chocolate chips
Step-by-step explanation:
as only whole numbers make sense for the number of chocolate chips in a cookie, "fewer than 10" means actually "9 or fewer".
so, we need the probability (area) of the specified normal distribution curve for 9.
the probabilty is about 0.05 for a cookie to have fewer than 10 chocolate chips.
Bob earns $ 750 each week working his full time job. His employer has a 18.5 % tax deduction on all monies earned each week. Calculate the tax deduction Bob paid for that week.
Answer:
ANSWER: $138.75
Step-by-step explanation:
750/100 = 7.5 then 7.5 multiplied by 18.5 = 138.75 so the total tax deduction is $138.75
hope this helps :)
A student missed 15 problems on a mathematics test and received a grade of 80%. If all the problems were of equal value, how many problems were on the test?
Answer:
75 problems
Step-by-step explanation:
Let x be the number of problems on the test and x-15 be the number of correct answers the student got on the test:
(x-15)/x = 0.80
x-15 = 0.80x
-15 = -0.20x
75 = x
Therefore, there were 75 problems on the test
Oscar bought shares in four different stocks. The chart below shows the changes in the stocks’ values over the past week. Which stock is closest to its purchase price?
Oscar’s Stocks
Stock
Change
ABC Toys
–$3
Golden Grains
+$4
Fast Cars
–$8
XYZ Clothing
+$1
ABC Toys
Golden Grains
Fast Cars
XYZ Clothing
The stock that is closest to its purchase price is XYZ Clothing.
Which stock is closest to its purchase price?
The table consists of negative numbers and positive numbers. A negative number signifies that the value of the stock decreased. A negative number has a minus sign in front of it. A positive number signifies that the value of the stock increased. A positive number has a plus sign in front of it.
The stock that is closest to its purchase price is the stock that changes the least. It is the stock whose change in value is closest to one. This stock is XYZ clothing.
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Answer:
It is DStep-by-step explanation:
ples Thanks me