A=Lw
P=2L+2w
216=Lw
W=216/L...substitute to Perimeter equation
60=2L+2(216/L)
60L=2L^2 + 432
2L^2-60L+432=0
2(L^2 - 30L + 216)=0
2(L-18)(L-12)=0
L=12, W=18 or L=18, W=12
2 supplementary angles when added together need to equal 180 degrees.
Add:
3x-23 + 2x-12 = 180
Simplify:
5x -35 = 180
Add 35 to both sides:
5x = 215
Divide both sides by 5:
X = 43
Now replace x with 43 in the equation for angle b:
2(43) -12 = 86-12 = 74 degrees
Angle B = 74 degrees
Answer:
I'm not sure, you posted this like a longggggg time ago so we're good. bye. hope i helped.
Step-by-step explanation:
Answer:
Step-by-step explanation:
when (x,y) is rotated through 180 then new coordinates are (-x',-y')
G(6,4)→G'(-6,-4)
Answer:
x = 3/2
Step-by-step explanation:
We can use ratios to solve
6 6+x
-------- = -----------
4 5
Using cross products
6*5 = 4 * (6+x)
30 = 24 + 4x
Subtract 24 from each side
30 -24 = 24+4x-24
6 = 4x
Divide each side by 4
6/4 = 4x/4
3/2 = x