Answer:
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
Instructions? "Find the number."
12 + 5n = 9n
12 = 4n and so n = 3 (answer)
Its b ...........................................
ANSWER
320cm ²
STEP BY STEP
2 widths (16) should equal 32, so you should have 40cm left. Divide 40 by 2 to get one length. Length = 20, width = 16.
So to find the area, you multiply length times width. 20 x 16 = 320
The area is 320cm ²
