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enot [183]
3 years ago
8

Help me please aahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Mathematics
1 answer:
serious [3.7K]3 years ago
4 0
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PLEASE HELP I WILL MAKE BRAINLIEST
juin [17]

Answer:

m∠T = 79°

m∠V = 14°

Step-by-step explanation:

Given

  • m∠T = (2x + 85)°
  • m∠V = (5x + 29)°

As the sum of measures of the angles is 93°.

so

m∠T + m∠V = 93°

(2x + 85)° + (5x + 29)° = 93°

Remove parentheses

2x+85+5x+29=93

7x+114=93

Subtract 114 from both sides

7x+114-114=93-114

Simplify

7x=-21

Divide both sides by 7

\frac{7x}{7}=\frac{-21}{7}

simplify

x=-3

Determining m∠T

m∠T = (2x + 85)°

substitute x = -3

m∠T = (2(-3) + 85)°

        = -6 + 85

        = 79°

Thus, we conclude that m∠T = 79°

Determining m∠V

m∠V = (5x + 29)°

substitute x = -3

m∠T = (5(-3) + 29)°

        = -15 + 29

        = 14°

Thus, we conclude that m∠V = 14°

<u>VERIFICATION:</u>

m∠T + m∠V = 93°

substitute m∠T = 79° and m∠V = 14°

79° + 14° = 93°

93° =  93°

L.H.S = R.H.S    

5 0
3 years ago
Connor is constructing rectangle ABCD. He has plotted A at (−2, 4), B at (0, 3), and C at (−2, −1). Which coordinate could be th
ella [17]

Answer:

<h2>D (−4, 0)</h2>

Step-by-step explanation:

The image attached shows all given coordinates. There you can observe that point D must be placed at (-4, 0) to enclose a rectangle.

We can also demonstrate this by finding that sides AD and BC are congruent.

<h3>Side AD.</h3>

d_{AD} =\sqrt{(0-4)^{2}+(-4-(-2))^{2} } =\sqrt{16+4}=\sqrt{20}

<h3>Side BC.</h3>

d_{BC}=\sqrt{(-1-3)^{2} +(-2-0)^{2} }  =\sqrt{16+4}=\sqrt{20}

As you can observe, sides AD and BC are congruent. Therefore, point D must be at (-4,0), to enclose a rectangle.

7 0
3 years ago
What is the slope-intercept form of the equation 4x + 2y = 6?
vladimir2022 [97]

Answer:

The correct answer is D. y = -2x + 3

Step-by-step explanation:

To find this, simply solve the equation for y.

4x + 2y = 6

2y = -4x + 6

y = -2x + 3

7 0
4 years ago
Read 2 more answers
It took Mary 40 minutes to run 8 laps around the playground, if she spent the same time running each lap, how long would it take
Sergeeva-Olga [200]

Answer:

it should take her 45 minutes to run 9 laps

Step-by-step explanation:

40/8 = 5

9*5 = 45

8 0
3 years ago
Read 2 more answers
What is (f - g)(x)?<br>f(x) = 5x<br>g(x) = 3x2 - 8x​
erma4kov [3.2K]

Answer:

(5x)-(3x^2-8x)=-3x^2+13x

Step-by-step explanation:

(f-g)(x)=f(x)-g(x)

Using this, we can subtract and find the answer.

(5x)-(3x^2-8x)=-3x^2+13x

6 0
3 years ago
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