Answer:
12 Inches
Step-by-step explanation:
3 ÷ 3 = 1
1 feet is 12 inches
3x+5x-12=180
8x=180+12
8x=192
x=192/8
x=24
angle 1 = 5x-12
=5(24)-12
=120-12
=108
angle 2= 3x =3*24=72
angle 1 = angle 9
angle 9= 108
Answer:
For the triangle, the area is 7.5 in.
For the trapezoid, the area should be 90 cm
Step-by-step explanation:
The formula for a triangle is A=1/2bh and for a trapezoid it is (a+b)/2×h
If we write y=f(x)=(x-h)²+k, then y-k=(x-h)². This is vertex form where the vertex is (h,k)=(3,3) so h and k are both 3. We can see this if we put x=3 in the shifted function. This is a minimum point for the function because for every other x f(x) is greater then 3. The minimum point is the vertex.
