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3 years ago

1. What is the value of x? Show your work to justify your answer.

Mathematics

1 answer:

Reil [10]3 years ago

8 0

Answer:

x=72 and the exterior angle is 154

Step-by-step explanation:

We will call the unknown angle in the triangle y. Angle y and the angle (2x +10) form a straight line so they make 180 degrees.

y + 2x+10 =180

Solve for y by subtracting 2x+10 from each side.

y + 2x+10 - (2x+10) =180 - (2x+10)

y = 180-2x-10

y = 170-2x

The three angles of a triangle add to 180 degrees

x+ y+ 82 = 180

x+ (170-2x)+82 = 180

Combine like terms

-x +252=180

Subtract 252 from each side

-x+252-252 = 180-252

-x = -72

Multiply each side by -1

-1*-x = -72*-1

x=72

The exterior angle is 2x+10. Substitute x=72 into the equation.

2(72)+10

144+10

154

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TiliK225 [7]

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2 years ago

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labwork [276]

Answer:

(2 , 4)

Step-by-step explanation:

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2 years ago

Need an answer TODAY! Please only give correct and clean answers to this question, I will give Brainliest Answer if you do.

yan [13]

A. When you equalize two equations, geometrically you are trying to find the intersection point of them, i.e. find the common point of them. So the x coordinate of the intersection point is basically the solution.

B. You can simply plug in numbers from -3 to 3 and list the values by yourself.

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3 years ago

How many solution does this have and how do you solve it

Vadim26 [7]

Answer:

Infinite solutions

Step-by-step explanation:

To determine the number of solutions a system has, you need its slope. If the slopes are the same, check if the equations are equivalent or not.

To find the slope, rearrange the equation to isolate "y", which makes it slope-intercept form y = mx + b.

"x" and "y" represent points on the line.

"m" represents the slope, which is how steep a line is.

"b" represents the y-intercept (where the graph hits the y-axis).

Isolate "y" in both equations:

x + 3y = 0

3y = -x Subtract 'x' from both sides

y = -x/3 Divide both sides by 3.

y = $-\frac{1}{3}x$

The slope is -1/3.

9y = -3x

y = -3x/9 Divide both sides by 9

y = $-\frac{3}{9}x$ Reduce the fraction to lowest terms

y = $-\frac{1}{3}x$

The slope is -1/3, but the two equations are the same.

Since the equations are the same, or equivalent, the two lines are always touching. The solution of a system means where two lines intersect, or meet. Therefore, there are infinite solutions.

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3 years ago

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KengaRu [80]

Answer:

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Step-by-step explanation:

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2 years ago