Use the exterior angle theorem to find the value of x in the triangle below.



A
x = 7

B
x = 5

C
x = 12

D
x = 15

Use The Exterior Angle Theorem To Find The Value Of X In The Triangle Below.A X = 7B X = 5C X = 12D X

Answers

Answer 1

Answer:

Option A

Step-by-step explanation:

By using the definition of an exterior angle of a triangle,

"Measure of the exterior angle of a triangle is equal to the sum of measures of the opposite interior angles"

m∠STP = m∠SWT + m∠STW

Substitute the measures of the angles from the picture attached,

15x = (7x + 1) + (7x + 6)

15x = (7x + 7x) + (1 + 6)

15x = 14x + 7

15x - 14x = 7

x = 7

Therefore, Option A will be the correct option.


Related Questions

juan bicycles due north at 20mph eric starting at the same point at the same time bicycles due east at 15mph how.

far apart are they after 2 hours?

A. 10 miles
B. 35 miles
C. 50 miles
D. 70 miles

Answers

I’m not good at math but I think u have to divide or multiply 20 and 15

Plz dont skip and answer. Will give branliest. No links please

Answers

Answer:

181 mi^2

Step-by-step explanation:

Dimensions of large rectangle, on the left, are 6 mi by 8 m; area is 48 m^2;

Dimensions of small rectangle, in the middle of the diagram, are 4 mi by 5 mi, or 20 mi^2; area is 20 mi^2.

Dimensions of circle:  r = 12 mi; area of quarter circle is (1/4)(3.14)(12 mi)^2, or 113 mi^2.

Total area is 113 mi^2 + 20 mi^2 + 48 mi^2, or 181 mi^2

Answer:

Step-by-step explanation:

So first off. lets take chunks of this shape. We have a 6x8 rectangle, a 4x5 rectangle, and a 1/4 circle with a radius of 12.

The area of a rectnagle is just length x width.

So lets plug in our values for our two ractnagles, and see what we get:

6*8

=

48

So our first rectangle has a area of 48

Next we have:

4*5

=

20

So our second rectangle has an area of 20.

Add these otgether you get 68.

Finally we have our 1/4 circle. To solve this, find the area of the full circle and divide by 4.

We already know the radius, which is 12, and the formula for area of a circle is:

a=πr^2

Plug in 12:

a=π12^2

=

a=π144

dividing by four for the 1/4circle:

a=π36

So this means your answer is either:

68 +36π

Or:

181.097(solving pi*36)

Either of these work, if the problem allows pi, then use the first one, If not, use the bottom one.

Hope this helps!

Find the are of this compound shape below *

Answers

Answer:

52 cm²

Step-by-step explanation:

First, we find the area of the bottom rectangle. We see it's 4 high and 10 wide, so 4x10 is 40. Then, we see that the small figure in the top right has a height of 4 and width of 3, so 4x3 = 12, add those and you get 52.

PLEASE someone help me with this

Answers

Answer:

I CAN ACTUALLY HELP FOR ONCE!!!! [tex]30m^{3}[/tex]

Step-by-step explanation:

Answer:

30m^3

Step-by-step explanation:

Which of these expression is equivalent to 10% . 10%?
A. 100'
B. 103
C. 10,000,000
D. 2010
E. 107

what expression is equivalent to

Answers

It is letter C 10000000

Savannah gave the cashier $20 to pay for 3 pairs of socks. The cashier gave her $5.03 in change. Each pair of socks cost the same amount. What is the cost in dollars and cents for each pair of socks? Once you solve the problem, circle/highlight your answer.

Answers

Answer: $4.99

Step-by-step explanation:

The amount that Savannah paid for the 3 pairs of socks will be gotten by subtracting $5.03 from $20 which will be:

= $20 - $5.03

= $14.97

Since each paid of socks cost thesame amount, the cost of each pair of socks will be:

= $14.97/3

= $4.99

Each pair of socks cost $4.99

Simplify
2 xm x 2n x 8m

Answers

Answer:

This simplified would be 32xm

Hope this helps!

Mark me brainliest if I'm right :)

Answer:

The answer is 32x^3m^2n

Explanation: have a good day!

I need help with this work !!!

Answers

Answer:

16. B

17. C

18. D

19. B

20. D

pls help me with this thnx

Answers

Answer:

Shop B has a better value for their baked beans.

Step-by-step explanation:

Shop A:

5 kg = 5.65

1 kg = 5.65 / 5

= 1.13 pence

Shop B:

2 kg = 2.02

1 kg = 2.02 / 2

= 1.01 pence

the probability of an event happening is 5/9 what are the odds in favor of the event happening

Answers

Answer:

5/9

Step-by-step explanation:

it's literally telling you the answer and asking you

If they want the odds in favor then it's the odds of the event happening

im sorry but i need help with this seriously difficult question










what is 1+1?

Answers

Answer:

2

Step-by-step explanation:

1 + 1 = 2

Answer:

1+1 equals 2 ok are you a ok bye

Timed Test

Which type of discontinuity occurs at x = 5?

Answers

Answer:

D

Step-by-step explanation:

Based off of previous responses and my incorrect answer, I am going to say the answer is D.

Answer: d

Step-by-step explanation: edge

A fire department's ladder is 110 feet long. A firefighter is trying to reach the top of a 100 foot building by leaning the ladder against the building. What is the angle of elevation for the rescue ladder?

Answers

Answer:

sin-¹(10/11)

Step-by-step explanation:

The height of the building is 100 ft and the ladder is 110ft long .We can imagine this situation as a right angled ∆. For figure refer to the attachment .

We can use ratio sine here. Let the angle of elevation be theta.

In ∆ ABC :-

=> sinθ = p/h

=> sinθ = 100ft / 110 ft

=> sinθ = 10/11

=> θ = sin -¹ ( 10/11) .

Hence the angle of elevation is sin -¹ ( 10/11).

6
For a movie scene, a stuntman will slide down a wire that is connected from the top of a building to the ground. The wire,
the side of the building, and the ground can be represented as the sides of a right triangle, as shown in the figure below.
Building
600
Wire
70 feet
x feet
The height of the building where the wire is attached is 70 feet. Based on the angle measure in the figure, which of the
following is closest to the value of x?
A-140.0
B-70.0
C-121.2
D-40.4

Answers

Answer:

my best guess would be B for sure

-59 Points!-

Below, the two-way table is given for a class of students.

^^^^^ (photo attached)

If a student is selected at random, find the
probability the student is a senior given that it's
female. Round to the nearest whole percent.
[?]%

Answers

Answer:

Solution given:

total female [T]=3+4+6+3=16

n[senior female]=3.

probability the student is a senior given that it's

female:[tex] \frac{n[senior female]}{total [T]} [/tex]

:[tex] \frac{3}{16} [/tex]

:[tex] \frac{3}{16} [/tex] is a probability.

Now percentage::[tex] \frac{3}{16}*100% [/tex]=18.75=19%

Answer:

18.75%. Rounding up: 19%

Step-by-step explanation:

From the table : Total Females = 3+4+6+3 = 16

Number of female seniors = 3

If a student is selected at random find the probability the student is a senior given that it's a female:

P(Female | senior) = number of female seniors / total female  = 3/16 = 0.1875

In percent, 3/16 * 100 = 0.1875 * 100 = 18.75%

the probability the student is a senior given that it's a female.  = 18.75%, which round to nearest whole percent is 19%.

I really need helppppp

Answers

Answer:

The correct answer is C.

Step-by-step explanation:

In the equation of a circle, if the variable [tex]x[/tex] and [tex]y[/tex] are added or subtracted by any number before being squared, the entire circle with be translated in the opposite amount that was added or subtracted to the circle. For example, [tex](x-8)^2 + (y-8)^2[/tex] shifts the center 8 to the right and up of the origin, [tex](x+1)^2+(y+4)^2[/tex] shifts the center 1 to the left and 4 down of the origin. Since the circle represented in the graph is centered directly on the origin, that means the equation will have [tex]x^2+y^2[/tex], which helps you eliminate choices A and C. For the equation of a circle, the radius is the value of the constant on the right side of the equal sign taken to its square root. Since the radius of this circle is 8, that means the constant at the right side of the circle would be 64 or [tex]8^2[/tex], so the correct answer would be choice C: [tex]x^2+y^2=8^2[/tex].

How many times must you roll an ordinary 6-sided dice for the probability of getting at least one multiple of 3 more than 0.7

Answers

Question isn't clearly stated.

The. Probability o

Answer:

Step-by-step explanation:

How many times must you roll an ordinary 6-sided dice for the probability of getting at least one multiple of 3 more than 0.7

Given a six sided die : (1, 2, 3, 4, 5, 6)

Multiple of 3 = (3, 6) = 2

Getting a multiple of 3 on a single roll :

P(multiple of 3) = 2 / 6 = 1/3

(answer quickly please)
Last year, Charmaine opened an investment account with $6200. At the end of the year, the amount in the account had decreased by 6.5%. How much is this
decrease in dollars? How much money was in her account at the end of last year?

Answers

Answer:

Decreased value- 2,170  

Absolute difference- 4,030

Step-by-step explanation:


What is the center and radius of the following
circle:
(x +4)2 + (-2) = 4?

Answers

Answer:

x = -1

Step-by-step explanation:

Answer:

That is not a circle; it has no y term

My guess:

center = (h, k) = (-4, 2)

r = √4 = 2

Step-by-step explanation:

If I had to guess what you intended:

(x  + 4)² + (y - 2)² = 4

The standard equation for a circle is

(x - h)² + (y - k)² = r²

(h, k) is the center and r is the radius

center = (h, k) = (-4, 2)

r = √4 = 2

What is the area of this figure?
33 mi
7 mi
16 mi
20 mi
13 mi
17 mi
square miles

Answers

Your answer is 452 square miles

25 minutes before 9 at night is written as _:__p.m.​

Answers

The answer is 8:35 pm

can sb pls answer this for me im having a really hard time

Answers

The answer to A) is .0062 cents per inch

QUICK WILL MAKE BRAINLIEST!!
FILL IN THE BLANK (HURRY NEED TURNED IN BY 9:06 ITS 9:04)
Million dollar ________?

Answers

Answer:

What does it mean but just Million dollar?

Step-by-step explanation:

hi! please help i’ll give brainliest

Answers

Answer:

The last answer is it I think.

Step-by-step explanation:

Write the name of the property shown by each equation. ( Commutative, Associative, Identity, Properties of Zero.

a. 3 x (2 x r)=(3 x 2 ) x r
b. 15 x 1=15
c. 12 x p=p x 12
d. 35 x 0=0
e. 0 divided by 76=0
f. (8 x9) x 12= 8 x (9x12)

Answers

Answer:

Step-by-step explanation:

a. Associative property

b. Identity property

c. Commutative property

d. Properties of Zero

e. Properties of Zero

f. Associative property

PLEASE HELP ASAP!! will mark brainlest!

Answers

Answer:

1. Axis of Symmetry: x=-4, Vertex: (-4, -6)

2. Axis of Symmetry: x=2, Vertex: (2, 8)

Step-by-step explanation:

PLEASE I NEED THE ANDWER IN THE BEXT MINUTE

Answers

Answer:

Step-by-step explanation:

Radius = 28 : 2 = 14 cm

Area = radius^2 x π = 14^2 x π = 196 π cm^2

Answer:

The radius is 13

The area is 530.93

Step-by-step explanation:

To find the radius of a circle, you divide the diameter (26) by 2.

And I dunno abt the area :') I just used a calculator

so i have a pic i need 1a plz i am giving a bunch of my points plz give it real asap

Answers

Answer:

.

Step-by-step explanation:

Answer:

What???? (confusion)

4.
{hghghghghghghghghg}

Answers

Answer:

B 84 cm^2 is the surface area of tbe prism

Step-by-step explanation:

The verticles of a polygon p(0,4), q(5,4), r(5.-3) and s(0,-3). What are the perimeters of the polygon

Answers

Answer:

Following are the responses to the given question:

Perimeter of polygon:

[tex]PQ = 5\\\\RS = 5\\\\PR = QS=\sqrt{74} = 8.60\\\\QR = 7[/tex]

Step-by-step explanation:

In this question we calculate the perimeter of a polygon which can be defined as follows:

Using formula:

[tex]d = \sqrt{(x _2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

When vertices are:

[tex]P ( 0 , 4) \\\\Q(5 , 4)[/tex]

[tex]x_1 = 0\\\\y_1 = 4\\\\x_2 = 5\\\\y_2 = 4\\\\PQ = \sqrt{( 5 - 0)^2 + ( 4 - 4)^2}\\\\= \sqrt{5^2 + 0^2}\\\\= \sqrt{25}\\\\= 5[/tex]

[tex]R( 5 , -3) and S ( 0 , -3)x_1 = 5y_1 = -3x_2 = 0\\y_2 = -3\\RS = \sqrt{ ( 0 - 5)^2 + ( -3 - (-3))^2}\\= \sqrt{( -5)^2 + ( -3 + 3)^2}\\= \sqrt{ 25 + 0}\\= \sqrt{25}\\= 5\\P( 0 , 4)\ and\ R (5 , -3)\\x_1 = 0\\y_1 = 4\\x_2 = 5\\y_2 = -3\\PR = \sqrt{( 5 - 0)^2 + ( -3 - 4)^2}\\= \sqrt{5^2 + (-7)^2}\\= \sqrt{ 25 + 49}\\= \sqrt{74}\\= 8.60\\[/tex]

[tex]Q ( 5 , 4) \ and \ S(0 ,-3)\\x_1 = 5\\y_1 = 4\\x_2 = 0\\y_2 = -3\\QS =\sqrt{ ( 0 - 5)^2 + ( -3 - 4)^2}\\= \sqrt{-5^2 + -7^2}\\= \sqrt{25 + 49}\\= \sqrt{74}\\= 8.60[/tex]

[tex]Q( 5,4\ and\ R(5 , -3)\\x_1 = 5\\y_1 = 4\\x_2 = 5\\y_2 = -3\\QR = \sqrt{(5 - 5)^2 + ( -3 - 4)^2}\\= \sqrt{0^2 + (-7)^2}\\= \sqrt{0 + 49}\\= \sqrt{49}\\= 7\\[/tex]

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