Rhombus question:
Opposite sides are equal so we will set x+25 and 3x-55 equal to each other.
x+25=3x-55
Subtract x to both sides:
25=2x-55
Add 55 to both sides:
2x=80
Divide 2 to both sides:
x=40
Now we will find the value of y. Remember a triangle adds up to 180 degrees, so we will add all 3 angles and set it equal to 180. The square means 90 degrees.
40+25+90+y=180
Combine like terms:
155+y=180
Subtract 155 to both sides:
y=25
Rectangle question:
Given that AE=x+16 and EC=2x-4. To solve this, you will add these two given lines together because AE+EC=AC.
x+16+2x-4
Combine like terms:
3x-12
l & m, solve for x:
Using alternate angles, we will know that 95 and x are supplementary, so they add up to 180.
95+x=180
Subtract 95 to both sides:
x=85
n & m:
Use alternate angles, think about zig zag:
1=8, 2=6, 4=5, 3+5=180
l & m solve for y:
First we will need to find the x value to solve for y. Using alternate angles, the two expressions are equal. So set the equal.
29x+2=30x-1
Subtract 29x to both sides:
2=x-1
Add 1 to both sides:
x=3
Now we will solve for y. Using alternate angles, both expressions are equal to y, we can pick any.
30x-1=y
Substitute:
30(3)-1=y
Calculate:
90-1=y
Calculate:
y=89
hope this helped!
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