Answer:
Step-by-step explanation:
<h3>
Answer: D) Midsegment Theorem for Trapezoids</h3>
Assuming that the bottom horizontal segment is 9 units long, this would mean that x = 5 on top, added to the 9 on the bottom, gives 5+9 = 14. This cuts in half to get 14/2 = 7, which is the length of the midsegment of the trapezoid.
In short: add the parallel sides of the trapezoid, then cut that result in half. This will yield the midsegment.
Answer:
m∠B = 121
m∠C = 59
Step-by-step explanation:
Angle B:
10(14)-19 = 140-19 = 121
Angle C:
(121)2 = 242
360-242 = 118
118/2 = 59
Answer:
35 cm
Step-by-step explanation:
You can use the Cosine Rule to find the length of a side when two sides and the included angle are given.
a² = b² + c² - 2bc cos A
a² = (36²) + (52²) - 2(36)(52) cos 42°
a² = (1296) + (2704) - (3744)(0.7431448255)
a² = (4000) - (2782)
a² = 1218
a = ✓1218
a = 34.9 cm
<span>when the altitude is </span>drawn from the vertex of the right angle<span> of a right triangle to its hypotenuse, the altitude equals the product</span> of the two segments of the hypotenuse<span>.
(w+9)</span>²=8*18=144
w+9=12 or w+9=-12
w=3 (discard the negative number)
use the same method, z=√(9*11)=3√11
next, you can use the Pythagorean theorem to find x and y.
x=√(9²+99)=√180=6√5
y=√(11²+99)=√220=2√55
