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Sauron [17]
2 years ago
15

Find X, and the two angle measures.

Mathematics
1 answer:
Snowcat [4.5K]2 years ago
5 0

Answer:

x = -4

m<LMP = 77°

m<NMP = 103°

Step-by-step explanation:

Straight angles by definition have a total measure of 180°.

This means that m<LMP and m<NMP are 180° together.

Therefore m<LMP + m<NMP = 180°.

[substitution property]

(-16x + 13)° + (-20x + 23)° = 180°

[associative property of addition]

(-36x + 36)° = 180°

-36x + 36 = 180

–36 –36

-36x = 144

÷-36 ÷-36

x = -4

_________________

Since m<LMP = (-16x + 13)°.

Using substitution with x = -4:

m<LMP = (-16(-4) + 13)° = (64 + 13)° = 77°.

Since m<NMP = (-20x + 23)°.

Using substitution with x = -4:

m<NMP = (-20(-4) + 23)° = (80 + 23)° = 103°.

This is true because 77° + 103° = 180°.

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Answer:

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Step-by-step explanation:

The formula for line is y =  mx + b

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6 0
2 years ago
A washer and a dryer cost $562 combined. The washer costs $88 less than the dryer. What is the cost of the dryer?
Yanka [14]

Answer:

<em>Let the dryer cost x.</em>

<em>Then, the washer costs (x+87)</em>

<em> </em>

<em>Together, they cost  (x) + (x+87) = 787</em>

<em>         2x+87 = 787</em>

<em>            2x = 700           [subtract 97 from both sides]</em>

<em>             x = 350             [divide both sides by 2]</em>

<em> </em>

<em>The dryer cost $350.</em>

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<em>Check:   The washer cost $437.  Together, they cost $787  [good to check, right?]</em>

<em></em>

<em><u>Hope this helps...</u></em>

8 0
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Katrina wants to estimate the proportion of adults who read at least 10 books last year. to do​ so, she obtains a simple random
Vaselesa [24]
E=Z*sqrt (p(1-p)/N), where E= error margin, p=proportion, N=sample size

Katrina's margin error at 85% confidence interval: E=1.96*sqrt (p(1-p)/100) = 0.196 sqrt (1(1-p))

Mathew's margin error at 99% confidence interval: E= 2.58*sqrt (p(1-p)/400) = 0.129 sqrt (p(1-p))

Since both obtained same estimate of proportion (that is, value of p), it can be seen that Mathew's estimate will have a small error (That is, 0.129 is smaller than 0.196). This can be attributed to larger sample size although a wider confidence (99%) interval was considered.
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Answer:

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8 0
2 years ago
A website charges $0.99 to download a game and a $12.49 membership fee. Write an equation that gives the total cost in dollars (
nata0808 [166]
C = Cost To Download 
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Now, Plug In 6 For C.
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4 0
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