Answer:

Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of triangle plus the area of semicircle
so

we have

Find the height of the right triangle applying the Pythagorean Theorem


The radius of the semicircle is half the height of triangle

substitute in the formula


Answer: x= 80
Step-by-step explanation:
it’s an isoceles triangle so bottom 2 angles are 50
50+50= 100
180-100= x
Answer:
504 miles
Step-by-step explanation:
Make a proportion
= 
7/12 is 0.5833, so multiply 864 by that to find the number of miles
864(0.5833) = 504
Answer: No, because 7^2 + 10^2 is > 12^2
Step-by-step explanation: 7^2 +10^2= 49 + 100= 149 149
144
Answer:
104°+33°+(5x+13)°=180°[all angle sum is 180°]
137°+(5x+13)=180°
137°+13+5x=180°
150°+5x=180°
5x=180°-150°
5x=30
x=30/5
×=6