All categories

2 years ago

18 Geometry question: Use an algebraic equation to find the measure of each angle that is representative in terms of X

Mathematics

1 answer:

Dmitrij [34]2 years ago

4 0

Answer:

12x - 28° = 116°

7x + 32° = 116°

Step-by-step explanation:

12x - 28° and 7x + 32° are vertical angles. Vertical angles are congruent.

Therefore, to find the measure of each angle, we have to set each equation equal to each other as follows:

12x - 28° = 7x + 32°

Collect like terms

12x - 7x = 28 + 32

5x = 60

Divide both sides by 5

5x/5 = 60/5

x = 12

✔️12x - 28°

Plug in the value of x

12(12) - 28

= 144 - 28

= 116°

✔️7x + 32°

7(12) + 32

= 84 + 32

= 116°

You might be interested in

The perimeter of the rectangle below is 130 units. Find the length of side VY.

Shkiper50 [21]

Answer:

VY = 28 units

Step-by-step explanation:

the perimeter (P) of a rectangle is calculated as

P = 2 ( length + breadth )

given P = 130 , then

2(5y + 2 + 4y) = 130 ( divide both sides by 2 )

9y + 2 = 65 ( subtract 2 from both sides )

9y = 63 ( divide both sides by 9 )

y = 7

Then

VY = 4y = 4 × 7 = 28

7 0

1 year ago

<img src="https://tex.z-dn.net/?f=3%2F5%20of%205%2F9%5C%5C" id="TexFormula1" title="3/5 of 5/9\\" alt="3/5 of 5/9\\" align="absm

pychu [463]

Answer:

<u>⅓</u>

<h2>Step-by-step explanation:</h2>

$\frac{5}{9} \times \frac{3}{5}$

$= \frac{1}{3} \times \frac{1}{1}$

$= \frac{1}{3}$

<h2>Checking:</h2>

$\frac{1}{3} \div \frac{3}{5}$

$= \frac{1}{3} \times \frac{5}{3}$

$= \frac{5}{9}$

#CarryOnLearning

8 0

2 years ago

Read 2 more answers

A teacher Buys tickets for each of my students to visit a museum each student and $6.50 and she spent a total of $182 how many s

vaieri [72.5K]

Answer:

The ticket is bought for 28 students.

Step-by-step explanation:

It is given that the teacher is going to buy museum ticket for each students.

Total money spent = $182

Price of each ticket = $6.50

Let total number of tickets bought = $x$

We know that to find the total amount of money spent on ticket, we can add price of each ticket (i.e. $6.50) $x$ number of times.

In other words, simply multiply the number of tickets with price of each ticket to find the total money spent.

Total money spent = $x \times 6.50$

We know that total money spent is $182.

$\Rightarrow x \times 6.50 = 182\\\Rightarrow x = \dfrac{182}{6.50}\\\Rightarrow x = 28$

The ticket is bought for 28 students

8 0

3 years ago

A set of equations is given below:

Hunter-Best [27]

If you would like to find a step that can be used to find the solution to the set of equations, you can do this using the following steps:

c = 2d + 1
c = 3d + 5
__________
c = c
2d + 1 = 3d + 5
2d - 3d = 5 - 1
- d = 4
d = -4

The correct result would be <span>2d + 1 = 3d + 5.</span>

8 0

3 years ago

How to solve division with exponents

otez555 [7]

In division, exponents with the same base are subtracted.
example:
$\frac{x^4}{x^2} = x^2 \\ \\ \frac{ x^{3} y^{2} }{ x^{6} y} = \frac{y}{ x^{3} } \\ \\ Negative-exponents \\ \\ x^{-2} = \frac{1}{ x^{2} }$

5 0

3 years ago