Answer:
a. m<B = 100°
b. m<L = 55°
c. Scale factor = 9/11
Step-by-step explanation:
a) Similar triangles have their three corresponding angles congruent to each other, while the ratio of their corresponding sides are proportional to each other.
Since ∆ABC ~ ∆GLJ, therefore,
<A = <G,
<B = <J
<C = <L
m<J = 100° (given)
Therefore,
m<B = m<J = 100°
m<B = 100°
b) m<A = m<G
m<A = 25° (given)
Therefore,
m<A = m<G = 25°
m<G = 25°
m<L = 180° - (m<J + m<G)
Substitute
m<L = 180° - (100° + 25°)
m<L = 55°
c) scale factor of smaller triangle to the larger = side length of smaller triangle / corresponding side length of bigger triangle
Scale factor = AB/GJ
Substitute
Scale factor = 18/22
Simplify
Scale factor = 9/11
On side is 20 Bc L= 30 (L x 2)
=> 60
=> 100 - 60
=> 40 = W
=> W / 2
=>20
1 Side is 20
Hope I Helped
The quantity of distance measures in miles depends on the quantity of time measured in hours. is your best choice.
The quantity of time is an independent variable, as it continues to go no matter how much you travel, and so it is the independent.
The quantity of distance depends on your speed and time, and because it depends on these two factors, it is the dependent.
hope this helps
Answer:
32
Step-by-step explanation:
The last one is the answer. GD is similar to MJ, and DE is similar to JK. While DE is similar to ML as well, it is more so to JK because they are facing the same way
