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Temka [501]
2 years ago
13

Find the value of x. m∠TUV = 172° m∠TUL = (x + 16)° m∠LUV = (11x)° A) 7 Eliminate B) 10 C) 13 D) 16

Mathematics
1 answer:
tatiyna2 years ago
5 0

Answer:

C.) 13

Step-by-step explanation:

x + 16 + 11x = 172

16 + 12x = 172

12x = 156

156/12

x = 13

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Simplify <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7BX-10%7D" id="TexFormula1" title="\frac{1}{X-10}" alt="\frac{1}{X-10}
mr Goodwill [35]

In the second fraction, factorize the denominator:

x^2-9x-10=(x-10)(x+1)

Then we have, as long as x\neq10,

\dfrac1{x-10}\div\dfrac{9x}{x^2-9x-10}=\dfrac{\frac1{x-10}}{\frac{9x}{(x-10)(x+1)}}=\dfrac1{\frac{9x}{x+1}}=\dfrac{x+1}{9x}

which you could also write as

\dfrac{x+1}{9x}=\dfrac x{9x}+\dfrac1{9x}=\dfrac19+\dfrac1{9x}

4 0
3 years ago
What is the measure of KPN?
Debora [2.8K]

Answer:

angle KPN=95 degree

Step-by-step explanation:

angle KPN = angle JPO (because they are vertically opposite angles)

Now,

angle JPO+angle LOP=180 degree(being co interior angles)

angle JPO + 85 =180

angle JPO =180-85

angle JPO =95

since angle JPO is equal to KPN ,angle KPN is 95 degree

6 0
3 years ago
A bottle contains 14/16 ounces of apple juice. One serving of apple juice weighs 1/4 ounce. What is the total number of servings
andrew-mc [135]

Answer:

You have 3.5 Servings.

Step-by-step explanation:

1/4 x 4 = 4/16

14/4 = 3.5

8 0
3 years ago
The average number of acres burned by all wildfires in the united states is 780 acres with standard deviation 500 acres. of cour
shusha [124]
Mmmmmmmmmmmmmmmmmmmmmmmmmmmm
7 0
3 years ago
a navy submarine descended from sea leval at a rate of 7 feet per second. write the descent rate and the sub's elevation after 1
valina [46]
The descent rate is 7 feet/second. the subs elevation would be 7 x 10(60) which is 7x 600the sub's elevation would therefore be 4,200 feet below sea level
4 0
3 years ago
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