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lakkis [162]
3 years ago
7

Please help Slove for x

Mathematics
1 answer:
gayaneshka [121]3 years ago
7 0

Answer:

x = 20

Step-by-step explanation:

These angles are consecutive interior angles, so when added they will equal 180 degrees (according to the consecutive interior angles theorem).

3x - 10 + 5x + 30 = 180          add/subtract all like terms

8x + 20 = 180

8x = 160

x = 20  <--- This will be your answer

Hope it helps!

You might be interested in
Find the equation of the line that has slope of 7 and passes through the point (-9,2).
lawyer [7]

Answer:

y=7x+65

Step-by-step explanation:

You want to find the equation for a line that passes through the point (-9,2) and has a slope of 7.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 7. So you can right away fill in the equation for a line somewhat to read:

y=7x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-9,2). When x of the line is -9, y of the line must be 2.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 7 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-9,2).

So, why not plug in for x the number -9 and for y the number 2? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-9,2). y=mx+b or 2=7 × -9+b, or solving for b: b=2-(7)(-9). b=65.

The equation of the line that passes through the point (-9,2) with a slope of 7

is

y=7x+65

Have a nice day!

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