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Yanka [14]
2 years ago
9

R is the interior of angle TUV. The measure of RUV=30degrees, the measure of TUV=3x+16, and the measure of TUR=x+10. Find x and

the measure of TUV.

Mathematics
1 answer:
choli [55]2 years ago
7 0

Given

R is the interior of ∠ TUV.

m∠ RUV=30degrees, m∠ TUV=3x+16, and m∠ TUR=x+10.

Find the value of x and the m ∠TUV.

To proof

As given in the question

m ∠TUV=3x+16, and m ∠TUR=x+10

thus

m∠ RUV =  m∠ TUV - m∠ TUR

            = 3x + 16 - x -10

            = 2x + 6

As given

m ∠RUV=30°

compare both the values

we get

30 = 2x + 6

24 = 2x

12 = x

put this value in the m ∠TUV= 3x+16

m ∠TUV= 12× 3 +16

            = 52°

Hence proved


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GarryVolchara [31]

We have been given that Mr. Luis wants to sell his house. The state he lives in charges a 3.5% sales tax on the sale of a house. The county charges a 3.9% sales tax, and the city charges a 2.2% sales tax.

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5 0
2 years ago
If F(x) = log 5 2x, find F^-1(x). a. 5^y=2x b. 5^2y=x c. y = (5^x)/2
gregori [183]

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4 0
3 years ago
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NemiM [27]

Answer:

x = 55

Step-by-step explanation:

Draw a line parallel to the top and bottom parallel lines so this new line goes through the pointed end of x.

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The bottom angle of the line through 45 is 15 degrees (alternate interior angles.

The top angle is 45 - 15 = 30

The bottom angle of the line going to x is 150 degrees. It and the 30 degree angle make 180. 30 + 150 = 180

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6 0
2 years ago
Read 2 more answers
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kicyunya [14]
This is true.

Example:

= 8/9 ÷ 7/3
to divide fractions, multiply by the reciprocal/inverse of 7/3

= 8/9 * 3/7

= (8*3)/(9*7)
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= 24/63
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ANSWER: This is (A) true

Hope this helps! :)
3 0
3 years ago
At a country concert, the ratio of number of boys to the number of girls is 2:7. If there are 250 more girls than boys, how many
Juliette [100K]

Answer:

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So, convert the ratio 2:7 to a different ratio, but it still has to be equivalent to the ratio 2:7. By doing that, multiply both sides of the 2:7 ratio by 50:

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100:350  ⇒  This ratio means that the ratio between the number of boys to the number of girls is now 100:350, but that’s okay to have because it’s still equivalent to the original 2:7 ratio.

So, using the new ratio 100:350, this means that there are 100 boys at the concert and 350 girls at the concert, and 350 is 250 more than 100 which proves what the question is asking. So there are 100 boys at the concert.

<u>Answer:</u> 100 boys at the concert

<em>I hope you understand and that this helps with your question! </em>:)

7 0
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