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sergiy2304 [10]
3 years ago
11

Simplify the expression: (1 − 5i)(3 + 7i). 38 + 8i −32 + 8i 38 − 8i −32 − 8i

Mathematics
1 answer:
photoshop1234 [79]3 years ago
3 0
Your answer is 38-8i because what you do is 1 times 3 and get 3 then 1 times 7i and get 7i then you do -5i times 3 and you get -15i then -5i times 7i and you get -35i2 and the square will cancel out the negative and make it 35 then add that to the 3 and you get 38 then take the -15i +7i and get -8 do your answer is 38-8i
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Step-by-step explanation:

Restructured question:

The measure of two opposite interior angles of a triangle are x−14 and x+4. The exterior angle of the triangle measures 3x-45 . Solve for the measure of the exterior angle.

First you must know that the sum of interior angle of a triangle is equal to the exterior angle

Interior angles = x−14 and x+4

Sum of interior angles = x-14 + x + 4

Sum of interior angles = 2x - 10

Exterior angle = 3x - 45

Equating both:

2x - 10 = 3x - 45

Collect like terms;

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Get the exterior angle:

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Hence the measure of the exterior angle is 60 degrees

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