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3 years ago

Write and solve an equation to find the value of x and the missing angle measures.

Mathematics

1 answer:

Degger [83]3 years ago

7 0

Answer:

Step-by-step explanation:

x+85+x+105=180°

2x+190=180

2x=-10

x=-5

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Can someone help me pelase?? 20

Reil [10]

Answer:

$y=2x-2$

Step-by-step explanation:

Because the coordinates for x = 0 is (0,-2) so that's your y- intercept.

Then if you all you have to do is make sure that you have the correct slope.

So i just made a table on paper and started going up and seeing what slope i'd need to match the table on the screen.

$2(0)-2=-2\\2(1)-2=0\\2(2)-2=2\\2(3)-2=4$

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3 years ago

1/2 inch of rain fell during 3/4 of an hour. What is the unit rate of rainfall in inches per hour

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Answer:

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3 years ago

Write the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5)

Sedbober [7]

Answer: $\bold{y=-\dfrac{1}{3}x-1}$

Step-by-step explanation:

(4, 1) & (2, -5)

First, find the slope (m) and then the perpendicular (opposite reciprocal) slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{-5-1}{2-4} = \dfrac{-6}{-2}=3\quad \rightarrow \quad m_{\perp}=-\dfrac{1}{3}\\$

Next, find the midpoint of (4, 1) and (2, -5):

$Midpoint=\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{4+2}{2},\dfrac{1-5}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{6}{2},\dfrac{-4}{2}\bigg)\\\\\\.\qquad \qquad=(3, -2)$

Lastly, input the perpendicular slope and the midpoint into the Point-Slope formula to find the equation of the line:

$y - y_1 = m_{\perp}(x - x_1)\\\\y - (-2) = -\dfrac{1}{3}(x - 3)\\\\y + 2=-\dfrac{1}{3}x +1\\\\y =-\dfrac{1}{3}x - 1\\$

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3 years ago

Is square root 1-cos^2theta=-sintheta true? if so, in which quadrants does angle theta terminate?

oksano4ka [1.4K]

Yes it is true:

(1 - cos^2 x) = sin^2 x Sqr.(1 - cos^2 x) = sin x and (-sinx) True, since sin x negative. Also, x terminates in quadrant 3 and 4. Hope this is helpful

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2 years ago

Given three consecutive integers with a sum of four times the second number, write an algebraic equation for this situation

Black_prince [1.1K]

Define x:

Let the first number be x.

1st number = x
2nd number = x + 1
3rd number = x + 2

Construct equation:
x + x + 1 + x + 2 = 4(x + 1)
3x + 3 = 4(x + 1)

Answer: 3x + 3 = 4(x + 1)

5 0

3 years ago

Write and solve an equation to find the value of x and the missing angle measures.​

Write and solve an equation to find the value of x and the missing angle measures.