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GarryVolchara [31]
3 years ago
5

E and F are complementary. If m E = 9x - 38 and mF = 2x + 40, find m F pls I need help

Mathematics
1 answer:
larisa86 [58]3 years ago
4 0

Answer:

<h2>m\angleF = 34°</h2>

Step-by-step explanation:

If E and F are complementary I means that the sum of their angles add up to 90° since all complementary angles have the sum of their angles equal to 90°

To find m\angleF add m\angleE and m\angle F and equate it to 90 to find x then substitute it into the expression for m\angleF

Thats

m\angleE + m\angleF = 90

\rarr 9x - 38 + 2x + 40 = 90

\rarr 11x + 2 = 90

\rarr 11x = 90 - 2

\rarr 11x = 88

Divide both sides by 11

x = 8

Now we have

if m \angleF = 9x - 38

m\angle F = 9( 8) - 38

m\angleF = 72 - 38

We have the final answer as

<h3>m\angleF = 34°</h3>

Hope this helps you

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Answer:

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Step-by-step explanation:

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Let p be 2p and q be 3q. The ratio formed by this will be

\sf \: p = 2 \\  \sf \: q = 3 \\ \sf \: p : q = 2 : 3

  • <em>Thus</em><em>,</em><em> </em><em>Option</em><em> </em><em>A</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>correct</em><em> </em><em>choice</em><em>!</em><em>!</em><em>~</em>
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