Determine the value of x in the figure. answers: A) x = 94 B) x = 43 C) x = 141 D) x = 137
Answers
Answer:
D
Step-by-step explanation:
Since the triangle has 2 congruent sides then the triangle is isosceles and the base angles are congruent.
base angle = \(\frac{180-94}{2}\) = \(\frac{86}{2}\) = 43°
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of the triangle, thus
x = 94 + 43 = 137 → D
Answer:
let y be the angles in the triangle
Angles in a triangle add up to 180
Since both angles are equal
94 + y + y = 180
2y = 180 - 94
2y = 86
y = 43
For angle x
Angles on a straight line add up to 180
x + y = 180
y = 43
x = 180 - 43
x = 137°
Related Questions
find the area of the iscoseles triangle first answer=brainliest
Answers
Answer:
\(60cm^{2}\)
Step-by-step explanation:
so first we need to find the height so by splitting the isosceles triangle into two right-angled triangles and then applying Pythagoras' Theorem to one of them.
\(h^{2} =13^{2} -5^{2}\)
\(h^{2} =169-25\)
\(h^{2} =144\)
\(h=\sqrt{144}\)
\(h=12\)
We now know the height of the triangle and can use this to go back and find the area of the isosceles triangle.
area of triangle = \(\frac{1}{2}\) x base x height
area of triangle = \(\frac{1}{2}\) x 10 x 12
area of triangle = 60
Answer:
\(\boxed{Area = 60 cm^2}\)
Step-by-step explanation:
Perimeter of the isosceles triangle = 10+13+13
=> 36 cm
Semi Perimeter = 18 cm
Using Heron's formula to find the area:
=> \(Area = \sqrt{s(s-a)(s-b)(s-c)}\)
Where s is the semi perimeter and a,b and c are the sides
=> Area = \(\sqrt{18(18-13)(18-13)(18-10) }\)
=> Area = \(\sqrt{18(5)(5)(8)}\)
=> Area = \(\sqrt{3600}\)
=> Area = 60 cm²
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Answers
For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).
Range: The range is the difference between the largest and smallest values in the dataset.
For Mountain View School:
Range: 9 - 0 = 9
For Seaside School:
Range: 9 - 0 = 9
Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.
For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4
For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5
To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.
Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.
For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.
Part B:
For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.
For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.
Part C:
If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.
ANSWER FAST I DON'T UNDERSTAND?
Answers
Answer:
Step-by-step explanation:
I would ask my teacher for help if no, then it seems like you would mark a line in the numbers line or smth just giving you an idea sorry if this never helped :(
Ivan has a lemonade stand. He keeps records of his daily profits and how many customers he had that day. The scatter plot shows his profits versus the number of customers for 25 days. How much profit would Ivan expect to make if he had 50 customers?
A. $30
B. $40
C. $50
D. $60
Answers
please help me i will give brainliest to first person to anwser.
Answers
First we start with the formula for cylinders v=(pi)r(squared)h filled in Thats v=(3.14)(8 squared) (8) which brings us to the answer 1607.68 but you must round to the nearest tenth aka 1607.7
Answer:
The first option, V ≈ 1607.7 in²
Step-by-step explanation:
Find the volume of the given cylinder.
\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)
Given:
r = 8 in
h = 8 in
π = 3.14
Find:
V = ?? in³
\(\hrulefill\)
Now solving,
Substitute the given values into the formula:
=> V = (3.14)(8)²(8)
Using a calculator to simplify:
=> V = 1607.68 in²
Rounded to the nearest tenth:
∴ V ≈ 1607.7 in²
Thus, the first option is correct.
How far did I travel to reach my destination on each day of my three-day Trip?
a. On Day 1, after traveling 5/8 of the way to the first day's destination, I still had 15 miles left to go before reaching my first destination.
b. On Day 2, after traveling 18 miles, I still had 2/5 of that day's distance left to go before reaching my second destination.
c. On Day 3, after traveling 5/11 of that day's distance, I still had 6 more miles to travel than what I had already traveled that day, before reaching my third destination.
Answers
The total distances you traveled to reach your destination on each day of your three-day trip are as follows:
a) Day 1 = 40 miles
b) Day 2 = 30 miles
c) Day 3 = 11 miles.
How the total distances are determined:The total distances are determined using proportions.
Proportion refers to the fractional value of the whole number or quantity.
a) Day 1:
The fractional distance traveled = ⁵/₈
The remaining distance to travel = 15 miles
15 miles = ³/₈ (1 - ⁵/₈)
Proportionately, the total distance = 40 miles (15 ÷ ³/₈)
b) Day 2:
The distance traveled = 18 miles
The remaining distance to travel = ²/₅
The distance traveled = ³/₅ (1 - ²/₅)
³/₅ = 18 miles
Proportionately, the total distance = 30 miles (18 ÷ ³/₅)
c) Day 3:
The distance traveled = ⁵/₁₁
The distance to travel = 6 miles
The distance to travel in fractions = ⁶/₁₁ (1 - ⁵/₁₁)
Proportionately, if 6 miles = ⁶/₁₁, the total distance = 11 miles (6 ÷ ⁶/₁₁)
Learn more about proportions at https://brainly.com/question/1496357.
#SPJ1
Pls help me thank you!!
Answers
Answer:
i think it might Be 70
Step-by-step explanation:
I hope this helps u if so plz mark brainliest :)
Combine Like Terms 7x+33=180
Subtract 33 on each side.
7x=147
X=21
If you have questions you can ask me :)
Please answer asap. will mark brainliest
Answers
PLEASE HURRY I NEED THE ANSWER FAST!!!
Answers
Relative minimum: The coldest temperature outside the car was -4°C.
The negative interval is: between the 110th and 170th kilometers, the outside temperature was below zero.
The increasing interval was: over the first 50 km, the temperature outside the car got warmer.
How to Interpret the Quadratic Graph?The relative minimum or maximum of a graph is:
A relative maximum point is a point where the function changes direction from increasing to decreasing (making that point a "peak" in the graph).
A relative minimum point is a point where the function changes direction from decreasing to increasing (making that point a "bottom" in the graph).
Thus, the relative minimum of the graph is -4°C.
The negative interval is between the 110th and 170th kilometers, the outside temperature was below zero.
The increasing interval was over the first 50 km, the temperature outside the car got warmer.
Read more about Quadratic Graph at: https://brainly.com/question/14477557
#SPJ1
The tape diagram below represents 100\%100%100, percent.
What percent is represented by the shaded area?
Answers
Answer:
Step-by-step explanation:
Well the answer is 40 cause you count by 20 so if you in 20 t o times then you would get 40 percent
Select the correct scientific notation form of this numeral.
2,000,004
2.400 000 × 10 6
2.4 × 10 6
2 × 10 6
2.000 004 × 10 6
Answers
HELPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Perimeter = first you need to add 2 and 2 to get the bottom, then you add 2 and 1 to get the side to the left. after that, it's fairly easy. you just add all. The answer should be 14in.
Area of figure = It would be easier to split it then add them. You would need to time 2 by 2 which you should get 4. Then, you would need the length for the bottom, so first, you will need to add 2 and 2 which you get 4 then times that by 1 which should be 2. Add them together and the answer should be 6in.
Figure 2Perimeter = first you need to find the triangle. It said the circle is 3cm. so that means you just got to add 4, 5, and 3 together to get the perimeter of the triangle. Then, for the half-circle, 2\(\pi\)3. This should give you 18.85. Then add them together to get 30.85cm.
Area of figure = It would be easier to split it then add them. You would need to figure out what the formula for a triangle is which is \(H_{b} B\)/2. This should give you 6. Then you got to figure out the area of the circle, which is \(\pi 3^{2}\) which should give you 28.27. then you add them together, which gives you 34.27cm.
I hope this helped you out.
Figure 2: 28.7 inches
Add em up :34.27 meters
Cujo is making pies. The ingredients state that each pie must contain 14 strawberries and 22 slices of banana. Drag numbers to complete the table to show how many strawberries and slices of banana are in each pie. Numbers may be used once, more than once, or not at all. 18 22 56 88 66 32 42 70 Number of Pies Strawberries Slices of Banana 1 14 2 28 44 3 4 56 5 110 i will try giving branleist!!!!!!!!!!!
Answers
one platter has 6 veggie wraps, 12 turkey wraps and costs 64.50 another platter has 8 veggie wraps 8 turkey wraps and costs $56
Which system of equations represents the situation if x represents the cost of a veggie wrap and y represents the cost of a turkey wrap?
A.12x + 6y = 568x + 8y = 64.50
B.6x + 12y = 64.508x + 8y = 56
C.x + 2y = 64.50x + y = 56
D.6x = 64.508y = 56
Answers
Answer: $3.25
Step-by-step explanation: The computation of the cost of a veggie wrap is shown below:
Let us assume the veggie strap be x
And the turkey wrap be y
Now the equations are
6x + 12y = $64.50
x + 2y = $10.75
8x + 8y = $56
x + y = 7
Now
x + 2y = $10.75
x + y = $7
y = $3.75
So x = $7 - 3.75
= $3.25
So, the correct option is option (B).
To understand the calculations, check below.
Linear simultaneous equation:Simultaneous linear equations are the system of two linear equations in two or three variables that are solved together to find a common solution. The simultaneous linear equation is represented as follows:
\(a_1x+b_1y=c_1\\a_2x+b_2y=c_2\)
It is given that,
\(x\) represents the cost of a veggie wrap and \(y\) represents the cost of a turkey wrap.
Now, using the first part of the given question we get,
\(6x+12y=64.50...(1)\)
Again in the second part of the given question is 8 veggies wraps 8 turkey wraps and costs $56 then we get the equation as,
\(8x+8y=56...(2)\)
Then from equations (1) and (2) we get the equation as,
\(6x+12y=64.50\\8x+8y=56\)
Learn more about the topic of Linear simultaneous equation:
https://brainly.com/question/10700481
29 PTS! For Point A (m,n) to fall in the correct quadrant, if the value of m is 6, the 6 would be
, and if the value of n is 3, the 3 would be
.
Answers
Answer:
Both 6 and 3 would be negative
Step-by-step explanation:
Both are on the -x and -y side of the graph
Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Answers
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
(-5)(4.2) = -21
(-7)(-3) = 21
(4)(5) = 20
(2.5)(-9) = -22.5
So, the pairs of numbers and their products are as follows:
(-5)(4.2) = -21 matches with -21.
(-7)(-3) = 21 matches with 21.
(4)(5) = 20 matches with 20.
(2.5)(-9) = -22.5 matches with -22.5.
I hope this helps!
need answer for these qyestion
Answers
thank you for asking me this question
Answer for question 4 is 30
If a hotel's nightly rate is $127 and I wanted to stay for 30 days. How would I figure the monthly cost?
Answers
Answer:
Approx. $3810 per month.
Step-by-step explanation:
Take 127$ and multiply it by 30 days since you want to know how much it'll be for a month. You'll get $3810.
Answer:
$3810
Step-by-step explanation:
HELP ASAP! GIVING BRAINLIEST!
Robin helped her mom set a banquet table for dinner. She noticed that the width of the table was a third of its length. If the width is 6 feet, write and solve an equation to determine its length.
L over 3 equals 6; L = 18 feet
3L = 6; L = 2 feet
3 + L = 6; L = 3 feet
L − 3 = 6; L = 9 feet
Answers
W = 6
W x 3 = L
L = 18
so your answer is L over 3 equals 6; L = 18 feet.
Answer :answer is L over 3 equals 6; L = 18 feet
Factor out the coefficient of the variable. 1/3y-3/2
Answers
Answer:
\(\frac{1}{3} \left(y-\frac{9}{2} \right)\\\)
Step-by-step explanation:
Remeber that factoring is the same thing as applying the distributive property in reverse. Take the example 3(y + 4). To distribute, we multiply each term by the factor 3 to get the expression 3y + 12. To factor out the 3, we do the opposite, dividing the 3y and the 12 by 3, and pulling the 3 out front to again get 3(y + 4).
Here, we'd like to factor out 1/3 from the expression \(\frac{1}{3}y-\frac{3}{2}\). Dividing each term by 1/3 (the same thing as multiplying each term by 3), we get the expression \(y-\frac{9}{2}\). Remember though, the 1/3 never went away, we just pulled it out of the expression, so our full answer is
\(\frac{1}{3} \left(y-\frac{9}{2} \right)\\\)
The Key Club is hosting a banquet as a fundraiser. If 60 people attend, they make $500. If 80 people attend, they make $1500. Write an equation in slope intercept form to describe the situation.
If 50 people attend the fundraiser, how much money did the Key Club raise?
Answers
Answer:
415
Step-by-step explanation:
500/60=8.33
8.33x50=415
Answer:
The answer is 415 !!
Step-by-step explanation:
brainliest for brainliest??
Answers
Answer:
sure
Step-by-step explanation:
Answer:
yassssssssssssuwujejfjktjkri
slope 2
.........................................................
screenshot 1: question
screenshot 2: answer options
thx
Answers
Answer:
A/m=-2. since x goes up by 2 on the table, y decreases by 4 on the table, but if the next part of x on the table was 6, then y would be -2.
Solve please WILL GIVE BRAINLIEST
Answers
Answer:
124
Step-by-step explanation:
3 * 4 * 5 = 60
8 * 2 * 4 = 64
60 + 64 = 124
124
Step by step explanation:
3*4*5=60
8*2*4=64
60+64=124
Can I get help plzzz
Answers
(Quick) Can someone help me please?
20 points!
Answers
Answer:
Right isosceles triangle
Step-by-step explanation:
Measure of one angle is 90°Measures of remaining two angles is 45°-> teo sides of the triangle are equal.Thus, it is a right isosceles triangle.Do you need the measurement also ?
PLS PLS HELP I WILL MARK BRAINLIEST!
Answers
i have nothing to say, i just reaIIy need heIp
Answers
Answer:
\(12 \times 2.54 = 304.8\)
There are about 304.8 mm in 12 inches.
C is the correct answer.
PLS ANSWER FAST! Which table matches the information from the bar graph?
Answers
Answer: D
Step-by-step explanation: hope it helps
1. 9s + 4t
2. 46rs + 10x
3. 18q + 14x
4. 10x + 14y
5. 17rs + 32x
6. 5x + 7y - 5z
7. 3ab + 70m
8. 3r + 20a + 10m
9. 7k + 16m
10. 7r + 5s
11. 9j + 120m
12. 12k + m
13. 6c + 15h + w
14. 2c - 19d + 12f
15. 3t + 14r - 31j
Answers
Answer:
1. 9, 4
2. 46, 10
3. 18, 14
4. 10, 14
5. 17, 32
6. 5, 7
7. 3, 70
8. 3, 20, 10
9. 7, 16
10. 7, 5
11. 9, 120
12. 12, 1
Step-by-step explanation:
Definition of coefficient. Your welcome :)