What theorem would you use to solve for x?

What Theorem Would You Use To Solve For X?

Answers

Answer 1

9514 1404 393

Answer:

  Triangle Angle Sum

Step-by-step explanation:

Corresponding angles applies to parallel lines crossed by a transversal, or to angles in similar figure. The term has no meaning in this geometry.

Supplementary angles refers to a pair of angles that have a sum of 180°. Usually these are seen in quadrilaterals and figures involving parallel lines. The term has no meaning in this geometry.

The Pythagorean theorem relates side lengths in a right triangle. It has no utility in this geometry. Here we're concerned with angles, not sides.

__

The theorem useful for finding x is the Triangle Angle Sum theorem, which tells you the sum of angles in a triangle is 180°. That theorem lets you write a linear equation involving x, so that x can be found.

_____

  (3x -2) +(x +8) +(2x +3) = 180

  6x +9 = 180

  x = 171/6 = 28.5°

The three angles are 36.5°, 60°, 83.5°.


Related Questions

Using the formula Distance = rate . time, find the distance covered by an airplane flying at 300 mph for 3 hours.

Answers

900. If your formula is correct, you only have to multiply 300 by 3

I need help with Geometry

Answers

I would try to help but I am in fact not smart and I am asking myself the same question

the post for Nancy's gazebo form a regular hexagon what is the measure of the angle formed at Each corner of the gazebo ​

Answers

Answer: 120 degrees, the total is 720 degrees, so that divided by 6 is 120

SOMEONE PLEASE HELP ME IM STRESSED OUT ILL GIVE OUT BRAINLIEST PLEASE DON’T ANSWER IF YOU DON’T KNOW THANK YOU

Answers

Answer:

$88

Step-by-step explanation:

first, you find 20% of 57 which = 11.4

then subract it with 57 which looks like 57-11.4 = 45.6

= 45.6

first, you find 20% of 53 which = 10.6

then subract it with 53 which looks like 53-10.6 = 42.7

= 42.4

then you add them both  which = 45.6+ 42.4= 88

Can someone help me, if u can ty bless you.

Answers

Answer : 2/3 or 0 R 6

Step-by-step explanation:

hope it helps

Evaluate y=−4x+3, for x=4.

Answers

Answer:

y = -13

Step-by-step explanation:

Given

x = 4

y = - 4 * 4 + 3

= - 16 + 3

= - 13

Hope it will help :)

evaluate 1/6t + 5/18 when t = 1/3

1/6(__)+5/18=_/_+5/18​

Answers

Answer:

[tex] \frac{1}{6} t + \frac{5}{18} \\ (\frac{1}{6} \times \frac{1}{3} ) + \frac{5}{18} \\ \frac{1}{18} + \frac{5}{18} = \frac{(1 + 5)}{18} \\ \frac{6}{18} = \frac{1}{3} [/tex]

1/3 is the right value of the given equation.

The equation A=p+prt is ued to find the accumulated amount, A, of an investment with principle, P, a certain interest rate, r, and over time, t. What is the value for r, after the equation is rearranged?

A. r= A+p/ pt
B. r= A-p/ pt
C. r= A-1/ t
D. r= A-p-pt

Answers

Answer:

B. r = A-p/pt

Step-by-step explanation:

We can rearrange the equation to make [tex]r[/tex] the subject of the equation:

[tex]A=p+prt[/tex]

[tex]A-p = p+prt-p[/tex]

[tex]A-p = prt[/tex]

[tex]\frac{A-p}{pt} = \frac{prt}{pt}[/tex]

[tex]r = \frac{A-p}{pt}[/tex]

∴ Option B is correct

Hope this helps :)

. An amusement park bought some arcade games that cost $2,000 each and photo booths that cost $3,200 each. A total of 22 of both types of machines were bought, for $53,600. How many arcade game machines did the park buy ?

Answers

Answer:

maybe 900 arcade games..good luck

Find the slope of the line represented by the data below

Answers

Answer:

Slope = -4

Step-by-step explanation:

Let us solve the question

∵ The slope of the line is m = Δy/Δx

∵ Δy is the change of y ⇒ Δy = y2 - y1

∵ Δx is the change of x ⇒ Δx = x2 - x1

→ Choose from the table x1, y1 and x2, y2

x1 = -3 and y1 = 12

x2 = -2 and y2 = 8

→ Use them to find Δx and Δy

∵ Δx = -2 - (-3) = -2 + 3 = 1

Δx = 1

∵ Δy = 8 - 12 = -4

Δy = -4

→ Use them to find the slope

∵ m = Δy/Δx

∴ m = [tex]\frac{-4}{1}[/tex]

m = -4

∵ m is the slope of the line

The slope of the line is -4

Bryan and Yuan started out at their houses and are biking towards each other. Bryan started
out first, and has already gone 5 miles. He bikes at a constant speed of 3 miles per hour.
Yuan just left, and rides at 4 miles per hour. When the boys meet halfway between their
houses, they will continue to the park together. How long will that take? How far will each
boy have ridden?

Answers

Answer:

Bryan and Yuan will meet after 5 hours, having traveled 20 miles each.

Step-by-step explanation:

Given that Bryan and Yuan left their homes at different periods of time and at different speeds, to determine how long they will meet and how much distance they will have traveled, the following calculation must be performed:

B = 5 + (3X)

Y = 4X

B = 5 + 3x2 = 11

Y = 4x2 = 8

B = 5 + 3x3 = 14

Y = 4x3 = 12

B = 5 + 3x4 = 17

Y = 4x4 = 16

B = 5 + 3x5 = 20

Y = 4x5 = 20

Therefore, Bryan and Yuan will meet after 5 hours, having traveled 20 miles each.

I just need the answer to check and see if i got mine right.
Use the distributive property and combining like terms to simplify the expression:
6 (2+x+8)
The answer i got is: 60+6x
Am i right?

Answers

yes you are correct.........

anyone know the answer to number 11? there’s only 2 options and you can see them in the picture.

Answers

Answer:

a)

Step-by-step explanation:

I am 100% sure it's the answer

Answer:

Step-by-step explanation:

using S[tex]\frac{o}{h}[/tex] C[tex]\frac{a}{h}[/tex] T[tex]\frac{o}{a}[/tex] (sin opposite/hypotenuse, cos adjacent/hypotenuse, tan opposite/adjacent)

Tan Y = 3/8

Tan Z = 8/3

hope this helps <3

What is the slope of the equation y = 5x – 7?

A. 32
B. 23
C. 3
D. 2

Answers

It’s none of these.
It’s 5

A skateboarder is shown below.
we
z
At which point is the skateboarder's potential energy the greatest?
Point X
Point Y
Point W
Point Z

Answers

I think the answer you’re looking for is
Point Y
-I hope this helps! Enjoy the rest of your day

Answer:

answer is w

Step-by-step explanation:

110 cm
50 cm
140cm
90 cm
-110 cm -
70 cm

Answers

Answer:

probably is 140 or is it just the whole question?

Pls help me with this question.

Answers

Answer:

x=1

Step-by-step explanation:

[tex] \frac{5(x + 6) - 15(2 - x)}{3x - 1} = 10 \\ [/tex]

[tex] = > 5(x + 6) - 15(2 - x) = 10(3x - 1)[/tex]

[tex]5x + 30 - 30 + 15x = 30x - 10[/tex]

[tex] = > 20x = 30x - 10 \\ = > 20x - 30x = - 10 \\ = > - 10x = - 10 \\ = > x = 1[/tex]

hope it helps:)

Start by expanding the numerator.

5x+30-30+15x / 3x-1 = 10

Simplify.

20x / 3x-1 = 10

Multiply both sides by the denominator.

20x = 30x-10

Divide both sides by 20.

x = 3/2-1/2

Subtract the fractions.

x = 1

Help pleasee! Thank uu

Answers

Answer:

The answer is the 2nd option

Step-by-step explanation:

..................the y intercept

Gerri is working on a project that need to be finish by Friday so far she has completed 1/3 of the project How much of the project does she have to finish By Friday . Answer is . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Answers

Answer:

Part of incomplete work = 2/3 of project

Step-by-step explanation:

Given:

Part of work completed = 1/3 of project

Find:

Part of incomplete work

Computation:

Part of incomplete work = 1 - Part of work completed

Part of incomplete work = 1 - 1/3

Part of incomplete work = 2/3 of project

Sneakers at Mr. Lou's garage sale cost the same price. Alexander paid $90.52 for four pairs. How many pairs of sneakers did Justin buy if he paid $135.78? Write a proportion and use cross products to solve for d, the number of sneakers that David bought

Answers

Answer:

6 pairs

Step-by-step explanation:

Since we are given a ratio/proportion problem and 3 values and 1 variable then we can use the Rule of three to solve this problem. We simply multiply the diagonal values available and divide by the 3 value to find the variable of the ratio like so...

4 pairs  <======>   $90.52

d pairs  <======>   $135.78

(4 * 135.78) / 90.52 = 6 pairs

Finally, we can see that Justin ended up buying a total of 6 pairs of sneakers.

The manager of a local skate park wants to paint a skating ramp shaped like a
triangular prism blue. A net of the skating ramp is shown. The parts that will be painted
are shaded
How many square feet of space on the skating ramp will be painted blue?
660 square feet
480 square feet
420 square feet
260 square feet

Answers

Answer:

123

Step-by-step explanation:

Answer:

260 square feet.

What do 5a represent in f(x)=5ax​

Answers

Answer:

[tex]y = mx + c \\ f(x) = 5ax[/tex]

By comparing both the equation we get that,

5a represent a slope in f(x)

What it 12/14<9=
I really need help on this :

Answers

Answer:

This isn't a real question... but i can explain what you gave. 12/14 is less than 1, so it is less than 9.

You run the same speed every day. Saturday you ran 4 miles in 32 minutes. On Sunday you ran 3 miles in m minutes.
36 minutes
12 minutes
28 minutes
24 minutes

Answers

Answer: 24 minutes, all you have to do is 4/32 which equals 8 then you do 3x8 which equals 24 :)

Step-by-step explanation:

4 miles =32

3 miles=m

32×3=4m

96=4m

m=96/4

=24

A bottle of 150 vitamins costs $5.25. If the cost varies directly with the number of vitamins in the bottle, what should a bottle of 250 vitamins cost?

Answers

Answer:

$8.75

Step-by-step explanation:

Set up a proportion where x is the cost of a bottle with 250 vitamins:

[tex]\frac{150}{5.25}[/tex] = [tex]\frac{250}{x}[/tex]

Cross multiply and solve for x

150x = 1312.5

x = 8.75

So, it will cost $8.75 for a bottle with 250 vitamins

Evaluate the expression when a = 17 and c = 7.
²
a+c
a-2c

Answers

A+c
17+7=24
a-2c
17-2(7)=3

Answer:

Step-by-step explanation:

a + c = 17 + 7 = 24.

a - 2c = 17 - 2(7) = 3.

what expressions are equivalent to 4×3/10​

Answers

Answer:

Hop. Answer ur question the answer is 13

Step-by-step explanation:

yeah hope i helped

12/10

6/5

It’s simple by Dividing

A child ate 30 grams of cereal for breakfast and her brother ate 40% more than that. How many grams of cereal did the brother eat?

Answers

Answer:70%

Step-by-step explanation: 30 + 40 grams = 70

70 Grams

URGENT! PLEASE HELP ME!
Martin had read 70% of a book. He has 3 more pages to finish. How many pages are there in the book?

Answers

Answer:

15

Step-by-step explanation:

15x3=70

Answer:

5.1 pages

Step-by-step explanation:

70% of 3 is 2.1 and 2.1 + 3 = 5.1

The following data points represent the number of red candy pieces in each of Nate's bags of candy.
4, 7, 11, 11,2,5,8
Using the data, create a histogram

Answers

It’s like a line diagram with numbers

Answer:

The graph goes the first red piece has one bag and the rest have two so ur graph should kinda look like _---

Step-by-step explanation:

i got it right on khan academy

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