m∠B = 33° is the answer.
<u>Step-by-step explanation:</u>
If two triangles ΔABC and ΔMOP are similar, then their corresponding angles are congruent.
In any triangle, sum of the measure of the angles add up to 180°.
∠A+ ∠B+ ∠C = 180°
∠A ≅ ∠M
∠B ≅ ∠O
∠C ≅ ∠P
So we can add as,
∠A + ∠B+ ∠P = 180°
45° + ∠B + 102° = 180°
∠B + 147° = 180°
∠B = 180° - 147° = 33°
Answer:
x = 7, x = -10
Step-by-step explanation:

Use the quadratic formula.

Solve.
x = 7, x = -10
You can also factor if you want - that is a faster method.
Answer:
2.4 hours
Step-by-step explanation:
Get common denominators -
1/12 x 5/5 = 5/60
1/5 x 12/12 = 12/60
The turtle walks ata 5/60 a kilometer an hour.
divide remaining time by 5/60
(12/60) / (5/60) = 2.4 hours
Answer:
3 3/4 cups of sugar
Step-by-step explanation: