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Anettt [7]
3 years ago
5

If line uw bisects angle tuv,, m angle tue = (13x-5) and angle wuv = (7x+31) find the value of x

Mathematics
1 answer:
scZoUnD [109]3 years ago
4 0

The value of x will be 6

<u><em>Explanation</em></u>

According to the below diagram, UW is the angle bisector of ∠TUV

<u>That means,</u>  \angle TUW = \angle WUV

Given that,  \angle TUW = 13x-5 and \angle WUV= 7x+31

So, the equation will be......

13x-5=7x+31\\ \\ 13x-7x=31+5\\ \\ 6x=36\\ \\ x=\frac{36}{6}=6

So, the value of x will be 6.

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Find the solution to the system of equations -3x-9y=18 4x+3y=12
chubhunter [2.5K]

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(6,-4)

Step-by-step explanation:

-3x-9y = 18 (equation 1)

4x+3y = 12 (equation 2)

multiply equation 2 by 3, and add it to equation 2

-3x-9y = 18

12x+9y = 36

-----------------

X's cancel out

9x = 54

Divide both sides by 9

x = 6

Plug in 6 for x in any of the original equations

(Plugging into Equation 2)

4(6)+3y = 12       Multiply 4(6)

24+3y = 12         Subtract 24 from both sides

3y = -12              Divide 3 on both sides

y = -4

Therefore the solution is (6,-4).

6 0
3 years ago
The average of the first five multiple of 7 is
Black_prince [1.1K]

Answer:

b. 21

Step-by-step explanation:

The first five mutiples of 7 are:<em> 7, 14, 21, 28, 35. </em>You can get these by multiplying 7 to any integer.

  • 7x1 = 7
  • 7x2 = 14
  • 7x3 = 21
  • 7x4 = 28
  • 7x5 = 35

In order to get the average of these numbers, you have to add them and divide the sum to the total number of multiples.

Let's add first.

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Let's divided 105 by 5, which is the number of the multiples of 7.

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<em>The answer is 21.</em>

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