Answer:
x = 10
Step-by-step explanation:
Perimeter of a triangle = the sum of the three sides.
In an isosceles the legs are equal (2x - 6) and the base is x
Perimeter = (x) + (2x - 6) + (2x - 6)
38 = 5x - 12
38 + 12 = 5x
50 = 5x

10 = x
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: 12:1
Step-by-step explanation: Brian rides his bike 12 miles in 2 hours
Answer:
side angle side. Seems contrary