Answer:
m∠B = 141°
Step-by-step explanation:
sides of polygon (n) = 7
sum of angles of polygon = {(n - 2) * 180°}
= {(7 -2)*180°}
= 5* 180°
= 900°
Now,
m∠B = 900° - 148° - 142° - 130° - 129° - 120° - 90°
m∠B = 141°
Answer:
Draw a picture and you'll see a right triangle with sides = 7 and 24 and hypotenuse = r (the cricle's radius). By the Pythagorean Theorem:
r2 = 72 + 242
Area = pi·r2
Step-by-step explanation:
Answer:
C. x = 3, y = 2
Step-by-step explanation:
If both triangles are congruent by the HL Theorem, then their hypotenuse and a corresponding leg would be equal to each other.
Thus:
x + 3 = 3y (eqn. 1) => equal hypotenuse
Also,
x = y + 1 (eqn. 2) => equal legs
✔️Substitute x = y + 1 into eqn. 1 to find y.
x + 3 = 3y (eqn. 1)
(y + 1) + 3 = 3y
y + 1 + 3 = 3y
y + 4 = 3y
y + 4 - y = 3y - y
4 = 2y
Divide both sides by 2
4/2 = 2y/2
2 = y
y = 2
✔️ Substitute y = 2 into eqn. 2 to find x.
x = y + 1 (eqn. 2)
x = 2 + 1
x = 3
