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°
For every 3 girls, there are 4 boys. if there are nine girls, that expands to three extra boys, because for every three theres an extra one. so there are 12 boys (9+3.) the final ratio, boys to girls, is 12:9.
The 2nd option is the answer :)!
Answer:
Step-by-step explanation:
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Answer:
Matha - Jim = 200 feet.
Step-by-step explanation:
<em><u>Jim's distance</u></em>
J = sqrt(w^2 + L^2)
J = sqrt(300^2 + 400^2)
J = sqrt(900 + 1600)
J = sqrt(2500)
J = 500
<em><u>Martha's distance</u></em>
M = 300 + 400
M = 700 Feet
Answer
M - J = 700 - 500 = 200
Jim walks 200 feet less than Martha.