Answer:
x = 6, ∠B = 50°
Step-by-step explanation:
a) 8x + 2 + 70 + 60 = 180
8x + 132 = 180
8x = 180 - 132 = 48
x = 48/8 = 6
b) ∠B = 180 - 70 - 60 = 50°
or 8x + 2 = 8*6 + 2 = 50°
The best estimate of the lateral area of the cube with edges that are 2.1 inches long is 4.2
Answer:
The perimeter of the base of the birdhouse is 36 units
Step-by-step explanation:
<u><em>The complete question is</em></u>
Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the measure of the exterior angle and the length of a diagonal that passes through the center is 12. What is the perimeter of the base of the birdhouse?
step 1
Find the measure of the interior angle
Let
x ---> the measure of the interior angle
y ---> the measure of the exterior angle
Remember that
the sum of the interior and exterior angle in any polygon is equal to 180 degrees
so
----> equation A
we have that
the measure of the interior angle is twice the measure of the exterior angle
so
----> equation B
substitute equation B in equation A


so

That means-----> The figure is a regular hexagon
step 2
Remember that
The length of the diagonal that passes through the center of the hexagon is equal to two times the length of the regular hexagon
Let
b ----> the length side of the hexagon
so

The perimeter of the hexagon is given by the formula

substitute

Answer: 50,380m
Step-by-step explanation:
190m * 270m = 51,300m
23m * 40m = 920m
Because the barn is in the field, we subtract the barn's area from the field's area, which leaves us with
51,300m - 920m = 50,380m
Answer:
y+1=5/2(x+2)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-6-(-1))/(-4-(-2))
m=(-6+1)/(-4+2)
m=-5/-2
m=5/2
y-y1=m(x-x1)
y-(-1)=5/2(x-(-2))
y+1=5/2(x+2)