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dimulka [17.4K]
2 years ago
12

The diagram shown is two intersecting lines. The measure of 5 is 47°.

Mathematics
1 answer:
Oksi-84 [34.3K]2 years ago
6 0

a. Using the vertical angles theorem, m∠7 = 47°.

b. Based on the definition of linear pair, the equation that can be used to solve for x is: 2x - 5 + 47 = 180.

c. x = 69

<h3>What is a Linear Pair?</h3>

A linear pair is two angles whose sum equals 180°.

Given the image, where:

m∠5 = 47°

a. ∠5 and ∠7 are vertical angles. Since verticl angles are congurent, therefore:

m∠7 = m∠5 = 47°

m∠7 = 47°

b. m∠6 = (2x - 5)°

m∠6 + m∠5 = 180° (linear pair)

Substitute

2x - 5 + 47 = 180 (equation that can be used to solve x)

c. 2x - 5 + 47 = 180

2x + 42 = 180

2x = 180 - 42

2x = 138

x = 138/2

x = 69

Learn more about linear pair on:

brainly.com/question/3768841

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gregori [183]

5x+7y=29.50 and 9x+2y=16 can be used to determine the cost of each game and each ride.

Variable x is the cost of one game and variable y is the cost of one ride.

Step-by-step explanation:

Let,

Cost of one game = x

Cost of one ride = y

Ayden played 5 games and went on 7 rides and spent a total of $29.50.

5x+7y=29.50    Eqn 1

Sophie played 9 games and went on 2 rides and spent a total of $16.

9x+2y=16     Eqn 2

5x+7y=29.50 and 9x+2y=16 can be used to determine the cost of each game and each ride.

Variable x is the cost of one game and variable y is the cost of one ride.

Keywords: linear equation, variable

Learn more about variables at:

  • brainly.com/question/13174275
  • brainly.com/question/13174281

#LearnwithBrainly

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3 years ago
What are the slope and the y-intercept of the linear function that is represented by the equation 8x-2y = 57
krok68 [10]

Answer:

slope(m)=4 and

y-intercept(c)=-5/2

Step-by-step explanation:

here,8x-2y=5

reducing it into slop intercept form we get,

2y=8x-5

or,y=8/2x+(-5/2)

or,y=4x+(-5/2)

comparing it with y=mx+c we get,

slope(m)=4 and

y-intercept (c)=-5/2

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It will take one person for the venues to equal the same amount. This is simply done by multiplying 1 x the per person amount then adding it to the reservation cost.
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