Double Points! (i have no clue how to do this)
Find the value of the variables in the figure.

x=12 and y=31

Step-by-step explanation:

First, ( 5x - 7 ) and ( 3x + 17 ) are alternate interior angles, which means they are congruent, or equal:

5x - 7 = 3x + 17

Add 7 to each side:

5x = 3x + 24

Subtract 3x from both sides:

2x = 24

Divide each side by 2:

x = 12

Now we can see that ( 5x - 7 ) and ( 4y + 3 ) are supplementary angles, which means they will add up to 180 degrees:

5x - 7 + 4y + 3 = 180

Substitute 12 in for x to solve for y:

5 ( 12 ) - 7 + 4y + 3 = 180

60 - 7 + 4y + 3 = 180

combine like terms:

( 60 + ( -7 ) + 3 ) + 4y = 180

56 + 4y = 180

Subtract 56 from each side:

4y = 124

Divide each side by 4:

y = 31

da freeck kinda math is this just drop out

step-by-step explanation:

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus