Answer:
90°
Step-by-step explanation:
AB and CD are parallel lines and EF is reversal
Therefore angles BGH and DHG are consecutive interior angles
<u>As we know the sum of consecutive interior angles equals to 180°:</u>
<u>Line GP bisects angle BGH , therefore</u>
<u>Line HP bisects angle GHD, therefore</u>
<u>Sum of two angles of triangle GHP:</u>
- m∠PGH + m∠GHD = 1/2(∠BGH + ∠DHG) = 1/2*180° = 90°
<u>Therefore the missing angle a is:</u>
- ∠a = 180° - (m∠PGH + m∠GHD) = 180° - 90° = 90°
B. If Karl runs 1 mi, then he runs 5280 ft.
If A then B and if B then C, then A-->C
Answer:
A
Step-by-step explanation:
Answer:
a. 29.3 units²
Step-by-step explanation:
The area of a circle is A = πr².
The area of each triangle is A = ½bh.
The vertex angle of each triangle is 360/5 = 72°. If we cut the triangle in half, we can use trig to write:
sin 36° = (½b) / r
b = 2r sin 36°
And:
cos 36° = h / r
h = r cos 36°
Substituting, we get the area of each triangle is:
A = r² sin 36° cos 36°
A = ½ r² sin 72°
The radius of the circle is 8. So the area of the circle minus the area of the 5 triangles is:
A = π (8)² − 5 (½) (8)² (sin 72°)
A ≈ 48.9 units²
Three fifths of the area is shaded, so:
⅗ A ≈ 29.3
Answer:
evet ama takip etmekle ne demek istiyorsun? ve ben Kaiden!
Step-by-step explanation: