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3 years ago

Find the value of x, then find each angle measure.

Mathematics

1 answer:

sergiy2304 [10]3 years ago

7 0

Answer:

x = 9

m<J = 57

m<K = 44

m<L = 79

Step-by-step explanation:

Theorem:

The sum of the measures of the angles of a triangle is 180°.

We add the measures of the angles, and set the sum equal to 180. Then we solve for x, and use the value of x to find the measure of each angle.

7x - 6 + 3x + 17 + 9x - 2 = 180

Combine like terms on the left side: 7x + 3x + 9x = 19x and -6 + 17 - 2 = 9

19x + 9 = 180

Subtract 9 from both sides.

19x = 171

Divide both sides by 19.

x = 9

Now we find the measure of each angle.

m<J = 7x - 6 = 7(9) - 6 = 63 - 6 = 57

m<K = 2x + 17 = 3(9) + 17 = 27 + 17 = 44

m<L = 9x - 2 = 9(9) - 2 = 81 - 2 = 79

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Fynjy0 [20]

Answer:

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Step-by-step explanation:

Given

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Required

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3 years ago

If 38 12-m – 82m, what is the value of m?

BigorU [14]

Answer:

$m=-\frac{26}{83}$

Step-by-step explanation:

Since you are asking for the value of $m$ , it is reasonable to assume that we are dealing with an equation here and you forgot to type the equal sign. Given that, I assume our equality is $38=12-m-82m$ . Let's solve it step-by-step:

Step 1. Subtract 12 from both sides of the equation

$38-12=12-12-m-82m$

$26=-m-82m$

Step 2. Combine like terms (m terms)

$26=(-1-82)m$

$26=-83m$

Step 3. Using the reflexive property of equality: if a = b, then b = a

$26=-83m$

$-83m=26$

Step 4. Divide both sides of the equation by -83

$\frac{-83m}{-83} =\frac{26}{-83}$

$m=-\frac{26}{83}$

We can conclude that the value of m is $-\frac{26}{83}$ .

Next time be more careful writing your question :)

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3 years ago

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Nataly_w [17]

Answer:

I would say, " Know the reason behind what you are doing when calculating a problem. If someone asks you how you solved that problem, you should be able to quickly and clearly explain to them what you are doing. If not, you are doing something wrong. "

Hope this helps! <u>Please if you are using it, rephrase it please.</u>

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