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
Answer:
t = 1, but please check to see if I correctly interpreted your formatting.
Step-by-step explanation:
The format of the question is too confusing.
I'll assume this is the equation to be solved:
<u>16−2t=t+9+4t</u>
<u></u>
16−2t=t+9+4t
16-9 = t + 2t + 4t
7 = 7t
t = 1
Answer:
-8x-6 or -8x+-6.
Step-by-step explanation:
Answer:Multiply the denominator on the bottom of the fraction by the whole number you are dividing by.
To divide a fraction by a whole number, multiply the bottom of the fraction by this whole number.
The denominator on the bottom of the fraction is 7.
We will multiply 7 by 2.
7 × 2 = 14 and so, 6 / 7 ÷ 2 = 6 / 14 .
Step-by-step explanation:
You only need two numbers to do that.
The numbers are 16 and -3 .
16 - 3 = 13
(16) x (-3) = -48
