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Alecsey [184]
3 years ago
12

1. Find m2K.

Mathematics
1 answer:
Kruka [31]3 years ago
5 0

Answer:

m∠k = 60°

Step-by-step explanation:

  • an exterior angle of a triangle is equal to the sum of the opposite interior angles

4x + 2 + 6x - 12 = 130

to find x:

4x + 2 + 6x - 12 = 130

4x + 6x = 130 - 2 + 12

10x = 120

x = 120/10

x = 12

apply the value of x to find the measure of angle K:

k = 6*12 - 12 = 60

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Line t passes through points (10, 1) and (2, 6). Line u is perpendicular to t. What is the slope of line u?
diamong [38]

Let's find the slope for line t first.

We can use the given points 2,6 and 10,1 to find the slope using the slope formula.

\frac{y.2 - y.1}{x.2 - x.1} = m

1 - 6 / 10 - 2

-5/8

The slope is -5/8.

Because we know the slope of this line, we can find the slope of the next line instantly, as they are perpendicular.

When a slope is perpendicular to another, it is equal to the negative reciprocal.

Negative reciprocal of -5/8 = 8/5

<h3>The slope of line u is 8/5</h3>
8 0
3 years ago
Write an equation in point-slope form of the line that passes through the point 4,-1and has slope of -5
Basile [38]

Answer:

y=-5+19

Step-by-step explanation:

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 -5. So you can right away fill in the equation for a line somewhat to read:

y=-5x+b.

Now, what about b, the y-intercept?

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

(4,-1). When x of the line is 4, y of the line must be -1.

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 -5 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 (4,-1).

So, why not plug in for x the number 4 and for y the number -1? This will allow us to solve for b for the particular line that passes through the point you gave!.

(4,-1). y=mx+b or -1=-5 × 4+b, or solving for b: b=-1-(-5)(4). b=19.

6 0
2 years ago
The recommended angle for a wheel chair ramp is 5 degrees. If the rise of the ramp to go up the steps is 2 feet, find the horiza
-Dominant- [34]

Answer:

22.9 feet

Step-by-step explanation:

You are using Tangent because you have the opposite and adjacent sides

Tan 5 = 2/x

x Tan 5= 2

x= 2/Tan5

= 22.860

5 0
3 years ago
What are the answers to A and C?
damaskus [11]
8x+1=-x-1 4-5x=1+6x
8x+x=-1-1 -5x-6x=1-4
9×=-2 -11×=-3
×=-2/9 ×=3/11
5 0
3 years ago
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vagabundo [1.1K]

Answer:

I think it is a but it is hard to see

Step-by-step explanation:

7 0
3 years ago
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