Answer:
b = 90
Step-by-step explanation:
Sum the interior angles of the pentagon and equate to 540
Starting from the top and going clockwise
b + b + 45 + 90 + 2b - 90 + 
b = 540 ← simplify left side
b + 45 = 540 ( multiply through by 2 to clear the fraction )
11b + 90 = 1080 ( subtract 90 from both sides )
11b = 990 ( divide both sides by 11 )
b = 90
Thus
b + 45 = 90 + 45 = 135
2b - 90 = 2(90) - 90 = 180 - 90 = 90
b = × 90 = 135
The angle measure from the top clockwise are
90°, 135°, 90°, 90°, 135°
Answer:
31.5cm²
Step-by-step explanation:
area of a triangle =1/2 b h
b= 7cm
h=9cm
1/2×7×9
= 1/2×63
= 31.5cm²
hypotenuse is unknown so,
c²=a²+b²
c²= 7² + 9²
= 49 + 81
c²= 130
c= 11.4cm
perimeter= 7 +9+11.4
=27.4cm
pls note that no unit was stated
Answer:
<CFE = 28
<RPQ = 53
Step-by-step explanation:
1)
<CFE + 152 = 180
<CFE = 180 - 152
<CFE = 28
2)
Complementary means the angles add up to 90 so:
<RPQ + 37 = 90
<RPQ = 90 - 37
<RPQ = 53
All but -1 <x <1
_____________
Answer:
64.1
Step-by-step explanation:
You use Pythagorean theorem which is x^2 +y^2=z^2 (^ this means to the power of) so you would get 55^2+33^2=z^2. solving this would get you z=64.1404708433 or 64.1
