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
9514 1404 393
Answer:
A
Step-by-step explanation:
You can use x=0 and x=1 to find points that must be on the graph.
f(0) = 16·0.5^0 = 16
f(1) = 16·0.5^1 = 8
Only graph A matches these points.
Miles per minute or miles per hour depending on how you did it.
Answer:
No solution.
Step-by-step explanation:
Step 1: Write equation
-3(-x + 4) = 5 + 3(x + 1)
Step 2: Solve for <em>x</em>
- Distribute: 3x - 12 = 5 + 3x + 3
- Combine like terms: 3x - 12 = 3x + 8
- Subtract 3x on both sides: -12 ≠ 8
Here, we see that <em>x</em> has to equal no solution. No value of <em>x</em> would make the equation true.
Answer:
1) 91
Step-by-step explanation:
28 + 63 = 91
