Answer:
x = 54
y = 114
Step-by-step explanation:
y = 114 because of the Corresponding Angles Theorem:
"If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent."
(x + 12) + y = 180
x + 12 + 114 = 180
x + (126 - 126) = (180 - 126)
x = 54
Quick Check:
54 + 12 + 114 = 180 ✔
P(5,10)=(4/9)(2/8)
P(5,10)=8/72
P(5,10)=1/9
Answer:
82 inches
Step-by-step explanation:
Answer:
The volume of the prism is other; 5.04 m^3
Step-by-step explanation:
Here, we want to get the volume of the prism
What we have to do here is to calculate the area of the trapezoid base and multiply by the height of the prism
The area of the base is;
A = 1/2(a + b) h
a and b are the parallel sides of the trapezoid which is 80 cm and 2 m
h is the height of the trapezoid which is 1.2 m
80 cm is same as 80/100 = 0.8 m (100 cm = 1 m)
A = 1/2( 0.8 + 2)1.2
A = 1/2 * 2.8 * 1.2 = 1.68 m^2
So we proceed to multiply this with the height of the prism which is 3 m
This will be ;
1.68 m^2 * 3 m = 5.04 m^3
