Answer:

Step-by-step explanation:
The skope-intercept form:

m - slope
b - y-intercept
The formula of a slope:

We have the points (2, -1) and (5, -3). Substitute:

We have the equation:

Put the coordinates of the point (2 , -1) to the equation:

<em>add 4/3 to both sides</em>

Finally we have:

First, coordinate Q is (-5,2) and Q' is (6,2). First, we know that this is a horizontal reflection becuase only the x-values change. This means that the line of reflection will be x=some value. I think the best way to go about this is to find the midpoint of Q and Q' using the formula: M=(x1+x2/2,y1+y2/2)
Q is the first point and Q' is the second point
M=(-5+6/2,2+2/2)
M=(1/2,4/2)
M=(1/2,2)
Since we know the y-values of Q, Q', and the midpoints are all 2, then the line of reflection would be x=1/2
Hope this helps
1 . 48 is the answer as the two bottom ones are equal 180-66-66=48
2. 117 degrees as the angle is the same as the other congruent angle shown in the diagram
Answer:u=19/7 or 2.714286 or 2 5/7
Step-by-step explanation:
−14u+32=−6
Step 1: Subtract 32 from both sides.
-14u+32-32=-6-32
-14u=-38
Step 2: Divide both sides by -14.
-14u/-14=-38/-14
U=19/7
If sine (theta) = 4/7 then theta is found by:
arc sine (4/7) = theta
theta = 34.85 Degrees
cosine (34.85) = 0.82065