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PIT_PIT [208]
3 years ago
6

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]3 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°

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Ganezh [65]

Answer:400 miles per hour

Step-by-step explanation:

Let w = speed at which the plane travelled west

Let s = speed at which the plane travelled south

Distance moved in 5 hrs heading west = 5*w = 5w

Distance moved in 4 hrs heading south = 4*s = 4s

Total distance, 3444= 5w + 4s

w = s + 39( 39 miles/hr faster)

5(s+39) + 4s = 3444

5s + 195 + 4s = 3444

9s = 3249

s = 361 miles per hour

w = s + 39 = 361 +39

= 400 miles per hour

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3 years ago
Square Root
Lynna [10]

Answer:

Domain: [0,infinity)

Range: [0,infinity)

X-intercept: (0,0)

Y-intercept: (0,0)

Step-by-step explanation:

5 0
3 years ago
A software company keeps a ratio of 2.5 testers to every 10 software developers. If the company hires 20 developer in one year,
pochemuha

Answer:

They will need to hire 5 testers.

Step-by-step explanation:

This question can be solved using a simple rule of three.

For each 10 developers, we need 2.5 testers. So how many testers are needed for 20 developers?

10 developers - 2.5 testers

20 developers - x testes

10x = 20*2.5

10x = 50

x = \frac{50}{10}

x = 5

They will need to hire 5 testers.

6 0
3 years ago
Read 2 more answers
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abruzzese [7]

Perpendicular lines, slope is opposite and reciprocal

so slope of new line = - 4

passes through (-2, -6) in point-slope form

y + 6 = -4(x + 2)

Answer is C. y + 6 = -4 (x + 2)

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3 years ago
Sam bought 2 plants for $7.00 each. He also bought a bag of fertilizer for $3.60.
Yanka [14]

Answer:

2 plants for $7.00

$7.00 x 2 or $7.00 + $7.00 = $14.00

+ $3.60

= D. <u>$17.60</u>

Good luck, hope this helped!

3 0
3 years ago
Read 2 more answers
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