Aright triangle has side lengths ac = 7 inches, bc = 24 inches, and ab = 25 inches. what are the measures of the angles in triangle abc? a) m∠a ≈ 46.2°, m∠b ≈ 43.8°, m∠c ≈ 90° b) m∠a ≈ 73.0°, m∠b ≈ 17.0°, m∠c ≈ 90° c) m∠a ≈ 73.7°, m∠b ≈ 16.3°, m∠c ≈ 90° d) m∠a ≈ 74.4°, m∠b ≈ 15.6°, m∠c ≈ 90°

(C)

Step-by-step explanation:

It is given that a right triangle, ACB which is right angled at C has BC = 24 inches, and AB = 25 inches.

We know that m∠C=90°,

Using the trigonometry in ΔACB, we have

Substituting the given values, we get

⇒

⇒

⇒

Also,

Substituting the given values, we get

⇒

⇒

⇒

Therefore, the measure of the angles in triangle ABC are  m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°.

Thus, option C is correct.

answer: d. $20

step-by-step explanation:

just took the test

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a