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ehidna [41]
4 years ago
15

If a right triangle has its two other angles labeled as 3x + 10 and 5x + 16, find the

Mathematics
1 answer:
irakobra [83]4 years ago
8 0

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Sum of the interior angles of any triangle equal 180 degrees .

Thus ;

(3x + 10) + (5x + 16) + 90 = 180 \\

Subtract sides 90

(3x + 10) + (5x + 16) + 90 - 90 = 180 - 90 \\

Simplification

(3x + 10) + (5x + 16) = 90

3x + 10 + 5x + 16 = 90

Collect like terms

3x + 5x + 10 + 16 = 90

8x + 26 = 90

Subtract sides 26

8x + 26 - 26 = 90 - 26

8x = 64

Divide sides by 8

\frac{8x}{8}  =  \frac{64}{8}  \\

x = 8

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

So ;

The angle marked as 3x + 10 would measure 34° degrees.

3(8) + 10 = 24 + 10 = 34

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

And ;

The angle marked as 5x + 16 would measure 56° degrees.

5(8) + 16 = 40 + 16 = 56

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Done...

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The answer to this question is:

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olchik [2.2K]

Answer:

a)E=.05t +34

b)$54

c)$600

Step-by-step explanation:

a) he gets 5% of tips out of all tips people gave to the restaurant , 5% --> .05 (as a decimal) --> this is "t"

he earns an extra $34 a night of work. --> this is the constant

E= --> the total earned that night

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c) since we are given the total earned that night, we now plug in for y. in this case we plug "$64" for y

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Help asap <br> Use the graph to find the indicated value of the function.
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f(-2) means the x value is -2 and you need to find the y value at that point.


At x = -2 the line crosses the y axis at y = 2

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