Answer:
24 years
Step-by-step explanation:
total ratio =8
older student=40 years
3/8*40 ÷ 5/8=24
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°
'is' in mathematics means equal
'of' in mathematics means multiplication
percent means over 100
84 = 74% * x
84 = 74/100 * x
84 = 37/50 * x
Multiply 50/37 on both sides, so we can isolate 'x'
85 * 50/37 = x
x = 4250/37
x ≈ 114.864865
84 is 74 percent of <span>114.86</span>.
