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patriot [66]
3 years ago
5

If m∠T = (2x + 85) °, m∠V = (5x + 29) °, and the sum of the measures of the angles is 93 ° , find the measure of each angle.

Mathematics
1 answer:
Hitman42 [59]3 years ago
3 0

Answer:  79 and 14

X would be -3 because (2 x -3 + 85) is 79 and doing it for (5x + 29) would get 14.

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A lot is in the shape of a triangle. One side is 100 ft longer than the shortest side, while the third side is 700 ft longer tha
vaieri [72.5K]

We have the next information

x= the shortest side measure

y= the second side measure

y=x+100

z= the third side measures

z=x+700

We know also that the perimeter is 2900 ft

Therefore the equation for the perimeter of the triangle will be

P=x+y+z2900=x+x+100+x+700

we sum like terms

2900=3x+800

then we isolate the x

3x=2900-8003x=2100x=\frac{2100}{3}=700

therefore

x=700ft

y=700+100=800ft

z=700+700=1400ft

The lengths of the sides of the lote are 700 ,800, and 1400 ft,

8 0
1 year ago
Simplify<br> CLEAR Step By Step Explanation Please. <br> Will Mark Brainliest
siniylev [52]

Answer:

1/x+5

Step-by-step explanation:

1. Rewrite 3x as a difference

x-2/x^2 + 5x-2 - 10

2. Factor out x from the equation, then factor out -2.

x-2/ x+(x+5) - 2(x+5)

3. Factor out x+5 from the expression

x-2/ (x+5)(x-2)

4. Reduce the fraction with x-2

x-2 / (x+5) x-2

1/x+5

8 0
3 years ago
If g(x)= 3x-1 solve for x when g(x)=-20.
Nadya [2.5K]

Good evening

Answer:

x=\frac{-19}{3}

Step-by-step explanation:

g(x) = -20

⇔

3x-1 = -20

⇔

3x = -20 + 1

⇔

3x = -19

⇔

x = -19/3

____________________

:)

3 0
3 years ago
In △PQR, find the measure of ∡P.
prisoha [69]
57.6² = 33.8² + QR²
QR² = 2.175,32
QR = 46.64

57.6/sen90º = 46.64/sen(P)
sen(P) = 46.64*sen90º/57.6
sen(P) = 0.809
angle P is sen^-1 = 54.06º ≈ 54.1º

8 0
3 years ago
Read 2 more answers
Solve the system by substitution:<br> y = -3x + 10<br> y=-3x + 4<br> Please show the steps!
sergiy2304 [10]

Answer:

x=1, y=7

Step-by-step explanation:

y = -3x + 10 - first equation

y=-3x + 4 - second equation

rearrange the expression to

-3x-y= -10

3x-y= -4

pick an equation and simplify; lets pick the second equation

3x-y= -4

\frac{3x}{3} = \frac{-4+y}{3}  

divide 3 by both sides

x= \frac{-4+y}{3} - third equation

substitute the value of x into an equation; lets pick the first equation

-3x-y= -10

-3(\frac{-4+y}{3})- y = -10

simplify. -3 cancels 3 so we are left with

-1(-4+y)-y = -10

simplify

4-y-y= -10

4-2y= -10

subtract 4 from both sides

-2y= -10-4

-2y= -14

divide -2 by both sides

y=7

substitute the value of y, (y=7) in an equation, we are using the second equation

3x-y= -4

3x-7= -4

3x = -4+7

3x= 3

divide 3 by both sides

x=1

so the answer is x=1, y=7

5 0
3 years ago
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