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dalvyx [7]
2 years ago
8

10. What is the value of x in the figure at the right? (Examples 3 and 4

Mathematics
2 answers:
Montano1993 [528]2 years ago
8 0

Answer:

x = 37

Step-by-step explanation:

Vertically opposite angles are equal

Therefore,  2x + 6 = 80

Subtract 6 from both sides:   2x = 74

Divide both sides by 2:   x = 37

Ghella [55]2 years ago
3 0
2x+6=80
2x=74
X= 37

Please like if this was helpful!
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Step-by-step explanation:

The y-intercept of a line is the y value when x = 0. In the equation y = \frac23 x -3 \\, we can solve for its equation when we plug in x = 0.

Solving for y when x = 0:

y = \frac23 x -3 \\ y = \frac23 (0) -3 \\ y = -3.

So the y-intercept of the equation y = \frac23 x -3 \\ is -3.

To find what equation has the same y-intercept, we can do the same process for each equations given by the choices. However, I can see that the equation, 6x -7y = 21, has the y-intercept. If in doubt, you can check for the solution below or solve each equations for yourself.

Solving for y when x = 0:

6x -7y = 21 \\ 6(0) -7y = 21 \\ 0 -7y = 21 \\ -7y = 21 \\ \frac{-7y}{-7} = \frac{21}{-7} \\ y = -3

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