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3 years ago

Mrs. Jordan participates in a math contest. She completes each question in 1/2

Mathematics

1 answer:

marysya [2.9K]3 years ago

5 0

it takes mrs. jordan 24 minutes to complete 12 questions.

if she completes each question in 1/2 a minute, then:

1/2 / 12 questions = 24 minutes.

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4 years ago

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Answer:

Step-by-step explanation:

a). Since, ΔABC ~ ΔWYZ

Their corresponding sides will be proportional.

$\frac{AB}{WY}=\frac{BC}{YZ}= \frac{AC}{WZ}$

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By applying Pythagoras theorem in ΔABC,

AB² = AC² + BC²

BC² = AB² - AC²

BC² = (194)² - (130)²

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From equation (1)

$\frac{194}{WY}=\frac{144}{1}= \frac{130}{WZ}$

$\frac{194}{WY}=\frac{144}{1}$

WY = $\frac{194}{144}$

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$\frac{144}{1}= \frac{130}{WZ}$

WZ = $\frac{130}{144}$

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b). tan(A) = $\frac{\text{Opposite side}}{\text{Adjacent side}}$

= $\frac{144}{130}$

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Since, ΔABC ~ ΔWYZ,

∠A ≅ ∠W

Therefore, tangent of angle A and angle W will measure $\frac{72}{65}$ .

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3 years ago