Find the measure of each interior and exterior angle. The diagram is not to scale.
Answers
Answer/Step-by-step explanation:
✅m<1 = 90° (right angle)
✅m<2 = 90° (<1 and <2 are supplementary, and also linear pair)
✅m<3 = 90° (<1 and <3 are supplementary, and also linear pair)
✅m<4 = 115° (vertical angles theorem)
✅m<5 + m<4 = 180° (linear pair)
m<5 + 115° = 180° (substitution)
Subtract 115 from each side
m<5 = 180 - 115
m<5 = 65°
✅m<6 = m<5 (vertical angles are congruent)
m<6 = 65° (substitution)
✅m<7 = m<1 + m<6 (exterior angle theorem)
m<7 = 90° + 65° (substitution)
m<7 = 155°
✅m<8 = 180 - m<7 (linear pair theorem)
m<8 = 180 - 155 (substitution)
m<8 = 25°
✅m<9 = m<7 (vertical angles are congruent)
m<9 = 155° (substitution)
Related Questions
Please help me with this problem, 35 points!
The four small circles are identical. The total area of the small circles is 16 pi square inches. What is area of the larger circle? Write your answer in terms of pi .
Answers
Answer:
64[tex]\pi[/tex] in²
Step-by-step explanation:
I did not ever do a problem like this, however this is the beauty of math, you can easily reverse engineer it.
Remember,
A = [tex]\pi r^2[/tex]
And if we have 4 circles that means the area of one circle is 1/4th the total
So,
[tex]A = \frac{\pi r^2}{4}[/tex]
Assuming that 16 is the radius squared times 4 lets ignore that squared for now because when going backwards we would get rid of the squared last as that was the first step.
[tex]A = \frac{16\pi}{4} = \frac{4\pi}{1}= 4\pi[/tex]
Now lets get it back to [tex]r^2[/tex] by square rooting the 4
[tex]A = \sqrt{4}\pi = 2\pi[/tex]
The radius of one small circle is 2. Therefore; the diameter would be 4 for each. This in mind we know that two small circles diameters make up the radius of the larger circle we will multiply it by two again.
This gives us a final radius of the bigger circle of 8
Therefore, the area of the bigger circle is 8²[tex]\pi[/tex] which simplifies to 64[tex]\pi[/tex]
And a final answer of
64[tex]\pi[/tex] in²
Hope this helps :)
The area of the larger circle is 64π in²
What is a circle?A circle is simply a round shape that has no corners or line segments. It is a closed curve shape in geometry. The points of circle are at a fixed distance from the center.
Given that, there are 4 identical circles inside a big circle, the total area of the small circles is 16π in²
We know that,
Area = π × radius²
16π = 4π × radius²
Therefore, the radius of each circle = 2 in
Now, according to the arrangement we can say that the adding the diameter of two small circles will give the radius of the big circle,
Therefore, the radius of the big circle = 4 + 4 = 8 in
Therefore, the area of the big circle = π × 8² = 64π
Hence, the area of the larger circle is 64π in²
Learn more about circles, click;
https://brainly.com/question/29142813
#SPJ3
Jamie's father has to build a corral for her new pony. The plan shows the length of the sides of the corral. Jamie's father says that the fence posts must be ten feet apart
Answers
Answer:
16
Step-by-step explanation:
The post must be 10 feet apart, the width of the corral is 50 feet and the length is 30 feet.
Each width sides get 6 posts and the length get 2 posts each.
therefore the total number of posts needed for the corral is;
= perimeter of a rectangle
= 2 ( l + w) / 10 feet apart
= 2 ( 50 + 30) / 10
= 160/10
= 16 posts
HELP ME PLEASE!!!!!!!!!!!!
Answers
Answer:
Question 6: C or 1/3
3 toppings times 2 flavors=6 types in all
you can get chocolate or vanilla yogurt with sprinkles. This gives u 2/6 or 1/3
Question 11: 2/9 + x = 1
x= 7/9
Step-by-step explanation:
Question 11: 2/9 + x = 1
x= 7/9
Question 6: 3 toppings times 2 flavors=6 types in all
you can get chocolate or vanilla yogurt with sprinkles. This gives u 2/6 or 1/3
The graph below shows the relationship between the number of hours and the
number of miles jogged.
Y
16
15
14
13
12
11
10
9
Miles
8
3
2
2
3
5
6
Hours
Based on the information in the graph, what is the unit rate in miles per hour?
Answers
Answer:
2.5
Step-by-step explanation:
Dustin rides his bike for 176.25 miles in three weeks. He averaged 11.75 miles per hour each time he rode. How many hours did it wake him to ride 176.25 miles?
Answers
176.25÷11.75=15 hours
hii pls help asap ty
Answers
Answer: 0.45 :)
Step-by-step explanation:
divide y by x
I really need help so please help me out
Answers
Answer:
The answer is option 2.
Step-by-step explanation:
Given that the TU and UF added up together to form a length of 32. In order to find TU, you have to subtract length of UF from 32 :
TU + UF = 32
TU + 20 = 32
TU = 32 - 20
TU = 12
Are 3/5 and 18/32 equivalent ratios? Explain how you know (be specific). If you just say yes or no you will not get full credit. *
Answers
Answer:
No they are not equivalent,
Step-by-step explanation:
3 x 6 is 18 and 5 x 6 is 30, not 32 so it is non-equivalent
The vertices of a triangle are, A (2, 5) B (1, 2) C (3, 1),. Find the coordinates of the image after a
reflection in the x-axis, and then a rotation 90° counterclockwise about the origin.
Answers
Answer:
The images are;
A’ (5,2) B’ (2,1) and C’ (1,3)
Step-by-step explanation:
Firstly, we want to reflect across the x-axis
When we reflect a point (x,y) over x-axis, we get (x,-y)
So;
A ( 2,5) becomes (2,-5)
B (1,2) becomes (1,-2)
C ( 3,1) becomes (3,-1)
Then we proceed to rotate 90 degrees counterclockwise about the origin
Here we have;
(x,y) becomes (-y,x)
(2,-5) becomes (5,2)
(1,-2) becomes (2,1)
(3,-1) becomes (1,3)
Answer:
A’ (5,2) B’ (2,1) and C’ (1,3)
Step-by-step explanation:
Firstly, we want to reflect across the x-axis
When we reflect a point (x,y) over x-axis, we get (x,-y)
So;
A ( 2,5) becomes (2,-5)
B (1,2) becomes (1,-2)
C ( 3,1) becomes (3,-1)
Then we proceed to rotate 90 degrees counterclockwise about the origin
Here we have;
(x,y) becomes (-y,x)
(2,-5) becomes (5,2)
(1,-2) becomes (2,1)
(3,-1) becomes (1,3)
2. Penny is 1/16 inch thick and there are now 500,000,000,000 pennies. How many miles high would the stack be? *Use the converter after you get your answer in inches. Show work:
Answers
Answer:
447451 miles
Step-by-step explanation:
a mile is 5820 feet or 69840 inches. 500,000,000,000/16 and then divide that by 5820
Select the correct answer. What can we determine about the SmartPhone Inc. stock when we see its returns (dashed line) compared with the NASDAQ Composite Index of growth companies (solid line). A. The SmartPhone Inc. stock performed better than the NASDAQ Composite during 2015. B. The SmartPhone Inc. stock performed worse than the NASDAQ Composite in 2015 and 2016. C. In 2018, the SmartPhone Inc. stock started to perform better than the NASDAQ Composite Index. D. The SmartPhone Inc. stock price steadily decreased between 2015 and 2017. E. The SmartPhone Inc. stock performed better than the NASDAQ Composite Index between 2015 and 2017.
Answers
Answer:
C
Step-by-step explanation:
Plato(:
What we determine about the SmartPhone Inc. stock when we see its returns compared with the NASDAQ Composite Index of growth companies is In 2018, the SmartPhone Inc. stock started to perform better than the NASDAQ Composite Index. This is further explained below.
What is stock?Generally, stock is simply defined as the money raised by a firm via the issuing and subscribing of shares.
In conclusion, When compared to the NASDAQ Composite Index of growing firms, the SmartPhone Inc. stock is In 2018, SmartPhone Inc. shares began to outperform the NASDAQ Composite Index.
Read more about Stock
https://brainly.com/question/27385142
#SPJ2
The table below shows the average annual salary of the workers at the Pearson
Corporation over the course of time since 1980. Let x represent the number of years
since 1980 with x = 0
representing the year 1980. Let y represent the average annual
salary of the workers. Complete the slope-intercept form of the equation for the line of
best fit below with the appropriate value for the slope.
Answers
Answer:
[tex]y = 1164x + 14242[/tex]
Step-by-step explanation:
From the question, we understand that
x = 0, when year = 1980
First, we need to determine the slope of the table.
Pick any two corresponding values of year and average salary
year = 1982, average salary = 16570
year = 2002, average salary = 39850
Convert years to x values
year = 1982 implies that x = 2 i.e. 1982 - 1980
year = 2002 implies that x = 22 i.e. 2002 - 198-
So, we have:
[tex](x_1,y_1) = (2,16570)[/tex]
[tex](x_2,y_2) = (22,39850)[/tex]
Determine the slope.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{39850 -16570}{22 - 2}[/tex]
[tex]m = \frac{23280}{20}[/tex]
[tex]m = 1164[/tex]
The equation is calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex]m = 1164[/tex]
[tex](x_1,y_1) = (2,16570)[/tex]
So,
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 16570 = 1164(x - 2)[/tex]
[tex]y - 16570 = 1164x - 1164*2[/tex]
[tex]y - 16570 = 1164x - 2328[/tex]
Add 16570 to both sides
[tex]y - 16570 + 16570 = 1164x - 2328 + 16570[/tex]
[tex]y = 1164x - 2328 + 16570[/tex]
[tex]y = 1164x + 14242[/tex]
Answer:
y = 1164x + 14,242
Step-by-step explanation:
State the domain of the following relation.
Answers
Answer:
the answer is
b. {-5,0,4,12}
Step-by-step explanation:
domain is x
range is y
hope this helps
Find the value of x in the following parallelogram
Answers
Answer:
x = 2
Step-by-step explanation:
5x - 6 = 3x - 2 (the two diagonals bisect each other)
2x = 4
x = 2
Topic: Polygons
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
1. Suppose Leif can rake his entire yard in 2.5 hours, while his younger sister, Autumn, can do it in 4 hours by herself. How many minutes will it take the two of the to rake the entire yard if they are working together, to the nearest whole number? Please answer in a number of minutes.
2. Once Leif and Autumn have all of the leaves in their yard in a huge pile, they decide to do a little math with their pile of leaves. They notice that all of the leaves are yellow and/or red. So, they decide that Leif will count the leaves with any red (5550 leaves) and Autumn will count the leaves with any yellow (6820 leaves). Then, they get their other little brother, Oakie, to come out and count the leaves that have both yellow and red on them (4370 leaves). Using their reported numbers, how many leaves are in the pile? Please just provide the number of leaves.
3. Leif bets Autumn that she can't reach into the middle of the pile and pull out three leaves with yellow on them in her first three picks, without replacement. Assuming the different kinds of leaves were all mixed up together again and randomly distributed throughout the pile, what is the probability that she will be successful? Express your answer as a decimal to the nearest hundredth.
Answers
Answer:
1. 93 min2. 123703. 0.17Step-by-step explanation:
1. ...................................
Speed of Leif:
1/2.5 = 2/5 of the job in an hourSpeed of Autumn:
1/4 of the job in an hourTogether their speed is:
2/5 + 1/4 = 8/20 + 5/20 = 13/20They spend total time for full job:
20/13 hour = 1 7/13 hour = 60 + 7/13*60 min ≈ 93 min2. ...................................
Leaves with red = 5550Leaves with yellow = 6820Leaves with both yellow and red = 4370Total number
5550 + 6820 = 123703. ...................................
Total number = 12370Yellow = 6820Probability of 3 consecutive yellow leaves:
6820/12370*6819/12369*6818/12368 = 0.17 rounded to the nearest hundredthsANSWER CORRECTLY AND YOU WILL GET BRAINLIEST
Write a proportion to find how many points x a student needs to score on a test worth 50 points to get a test score of 40%.
Answers
Answer:
20
Step-by-step explanation:
20 points = 40
50 points 100
The sum of two integers with different signs is 16. What two integers fit this description?
-2 and 18
-18 and -18
-14 and -2
-14 and 2
Answers
I need help with the problem
Answers
7.) x-3>4 please help
Answers
Answer:
x>7
Step-by-step explanation:
x-3>4
Add 3 to both sides
x>7
Hope it helped!
Answer:
x>7
Step-by-step explanation:
To solve the inequality you need to isolate the variable. To do so add 3 to both sides of the equation, x-3+3>4+3, which simplifies to x>7. This means any number greater than but not equivalent to 7 is a solution. So 8 or 100 would work but 7, 2, or -2 would not.
5y - 4x = -7
2y + 4z = 14
Solve for x and y
Answers
Answer:
et's solve for x.
5y−4x=−72y+4z
Step 1: Add -5y to both sides.
−4x+5y+−5y=−72y+4z+−5y
−4x=−77y+4z
Step 2: Divide both sides by -4.
−4x
−4
=
−77y+4z
−4
x=
77
4
y−z
Answer:
x=
77
4
y−z
Let's solve for y.
5y−4x=−72y+4z
Step 1: Add 72y to both sides.
−4x+5y+72y=−72y+4z+72y
−4x+77y=4z
Step 2: Add 4x to both sides.
−4x+77y+4x=4z+4x
77y=4x+4z
Step 3: Divide both sides by 77.
77y
77
=
4x+4z
77
y=
4
77
x+
4
77
z
Answer:
y=
4
77
x+
4
77
z
Step-by-step explanation:
I think that can help :) wanna chat add me as friend
Answer:
1.)x=5/4y+7/4
2.) y=−2z+7
Step-by-step explanation:
Solve for y. 6 over 36 equals y over 3
Answers
Answer:
Y = 1/2
Step-by-step explanation:
6/36 = y/3
Y = 1/2
Just multiply 3 by both sides
Pleaseee ANWSER ASAP!!!!
Answers
can y’all help please :)
Answers
solve for x: 2x- 2 =3(x- 2)
Answers
Answer:
x=4
Step-by-step explanation:
2x- 2 =3(x- 2)
2x- 2 =3x- 6
+2. +2
2x. =3x - 4
-3x. -3x
-1x. = -4
Divided - 1 both side
x=4
Identify the set of ordered pairs that represents y as a function of x.
{(0, 0), (1, 1), (2, 3), (3, 3)}
{(−1, 0), (1, 0), (3, 0), (3, 4)}
{(1, 0), (2, 0), (3, 3), (3, 4)}
{(0, 0), (0, 1), (2, 3), (3, 4)}
PLEASE HELP ILL MAKE BRAINLIEST!!!!!
Answers
Answer:
The first one because every x value can only have one y value
Step-by-step explanation:
The set of ordered pairs that represents y as a function of x are; {(0, 0), (1, 1), (2, 3), (3, 3)}
We must be aware that, dependent variable, y can only be a function of x if;
For every value of x, there must only be one value of y.
In essence,
For case 1:
y is a function of x, because for every value of x, there's only one value of y.For Case 2:
y is not a function of x, because there's two values of y for a value of x.For Case 3:
y is not a function of x, because there's two values of y for a value of x.For Case 4:
y is not a function of x, because there's two values of y for a value of x.Read more:
https://brainly.com/question/16865982
PLEASE HELP ME!!!!!!!!!!!!!
Answers
what is 175% of 300
Answers
Answer:
525
Step-by-step explanation:
Help me please i need some help.
Answers
Answer:
3
Step-by-step explanation:
3 is the coefficient and y is the term
Answer:
The first one: 3
Step-by-step explanation:
add me as a friend lol
Answers
Answer:
ok
Step-by-step explanation:
ok
Answer:
helloooooooooooooooooo
2+2+5*18/2+745-345/53
Answers
Answer:
Step-by-step explanation:
787.490566
Answer:
2 + 2 + 5 × 18 ÷ 2 + 745 - 345 ÷ 53 = 787.490566038
hope this helps