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Vikentia [17]
3 years ago
8

WILL MARK AS BRAINIEST!!!!!!! In this triangle, which of the following is true?

Mathematics
2 answers:
eduard3 years ago
8 0

Answer:

D) The measure of <em>x</em><em> </em>is 55 degrees and <em>b</em><em> </em>= 16.38.

Step-by-step explanation:

If the complimentary angle is 35 degrees, then <em>x</em> must be 55 degrees. <em>b</em><em> </em>= 16.38 according to the right triangle ratio which states that <em>b</em> = 4/5(<em>c</em>). Since <em>c</em><em> </em>is 20, <em>b</em><em> </em>is 16.38.

prisoha [69]3 years ago
7 0

Answer:

D

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 given angles from 180

x = 180° - (90 + 35)° = 180° - 125° = 55°

----------------------------------------------------------

Since the triangle is right use the cosine ratio to solve for b

cos35° = \frac{adjacent}{hypotenuse} = \frac{b}{20}

Multiply both sides by 20

20 × cos35° = b, hence

b = 16.38 ( to 2 dec. places )

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