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skelet666 [1.2K]
3 years ago
5

Three lines intersect at point , as shown in the diagram below. Find the measure of ∠VPQ. SHOW ALL WORK.

Mathematics
2 answers:
trasher [3.6K]3 years ago
7 0
The answer is probably 81
Ket [755]3 years ago
3 0

Answer:

83

Step-by-step explanation:

First of all, notice that VPS is a straight line meaning angles that lie on it will have a sum of 180. We know length of SPR=35, RPQ=62 (vert.opps.<s) as it lies vertically opposite to TPU. So now we know 2 angles, we can easily find out 3rd angle. But first we have to assume it as x. We make an equation= 62+35+x=180, 97+x=180,x=180-97, x=83, so angle VPQ equals 83.

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4 years ago
Será a equação x² + 3x = x + 6 + x² do 2º grau?
goblinko [34]

x² + 3x = x + 6 + x²

<u>-x²        </u>    <u>          -x²  </u>

      3x = x + 6

  <u>    -x </u>   <u>-x      </u>

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3 years ago
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5 0
3 years ago
A)<br> 2x + y - 12 = 0<br> x + y + 3 = 0
AVprozaik [17]

Answer:

x=15   and   y= -18

Step-by-step explanation:

2x + y - 12 = 0            Equation 1

x + y + 3 = 0                Equation 2

From two given equations, we can find the value of both x and y by finding the value of one variable from any one of the two equations in terms of other variable and putting it to other equation.

Solving equation 1

Finding 'y' in terms of 'x'           2x+y=12\\y=12-2x                 Equation 3

Putting above equation in equation 3 in 2

                                       x + y + 3 = 0

                                      x+12-2x+3=0

                                         x=15

Putting value of 'x' in equation 3 to find the value of 'y'

                                      y=12-2(15)\\y=12-30\\y= -18

6 0
3 years ago
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