Correct Question: If m∠JKM = 43, m∠MKL = (8x - 20), and m∠JKL = (10x - 11), find each measure.
1. x = ?
2. m∠MKL = ?
3. m∠JKL = ?
Answer/Step-by-step explanation:
Given:
m<JKM = 43,
m<MKL = (8x - 20),
m<JKL = (10x - 11).
Required:
1. Value of x
2. m<MKL
3. m<JKL
Solution:
1. Value of x:
m<JKL = m<MKL + m<JKM (angle addition postulate)
Therefore:

Solve for x


Subtract 8x from both sides


Add 11 to both sides


Divide both sides by 2


2. m<MKL = 8x - 20
Plug in the value of x
m<MKL = 8(17) - 20 = 136 - 20 = 116°
3. m<JKL = 10x - 11
m<JKL = 10(17) - 11 = 170 - 11 = 159°
Answer:
Slope
Step-by-step explanation:
Slope is the steepness of a straight line. It is the rise/run of a line.
Answer:

Step-by-step explanation:
Point-slope is:


<h2>
Our goal: </h2>
We have to complete the point-slope equation of the line through (1,3) (5,1).
--------------------------------------------------------
We have a incomplete equation of the line.

We need to find the <u>slope</u> of the line, and the <u>value</u> of
.
--------------------------------------------------------
<h3>Finding 'x1':</h3>
It seems that the value of 3 was used to be
. This means that the point
was used for the equation. This means that
would have to be 1.
<h3>Finding Slope:</h3>
Slope is rise over run.

We are given the points (1,3) and (5,1).

The slope is one-half.
--------------------------------------------------------
We now have enough information to complete the point-slope equation.

Our final equation is:

Answer:
<span><span><span>34</span><span>23</span></span>=<span>98</span></span>
Explanation:
<span><span><span>34</span><span>23</span></span>=<span>?
</span></span>
Answer:Equation of the line is:y = 1.2x + 3.2
Explanation:The general form of the linear equation is:y = mx + c
where:
m is the slope
c is the y-intercept
1- getting the slope:The slope of the line can be calculated using the following formula:
m =

We are given the points:
(-6,-4) representing (x1,y1)
(4,8) representing (x2,y2)
Substitute with the given points in the above equation to get the slope as follows:
m =

The equation of the line now is:
y = 1.2x + c
2- getting the y-intercept:To get the value of the c, we will use any of the given points, substitute in the equation and solve for c.
I will use the point (4,8) as follows:
y = 1.2 x + c
8 = 1.2(4) + c
c = 16/5 = 3.2
Therefore, the equation of the line is:
y = 1.2x + 3.2
Hope this helps :)