The midpoint divided a segment into two congruent lengths/segments.
So, QM = MR.
Set up the equation.
16 + x = 2(x+ 2)
16 + x = 2x + 4
12 + x = 2x
12 = x
Now, that you have the value of x, substitute it for the two equations.
QM = 16 + x
QM = 16 + 12
QM = 28
MR = 2(12+ 2)
MR = 2(14)
MR = 28
Find the whole length by of the line by adding the two segments. 28 × 2 = 56.
QR = 56
Answer:
See explanation
Step-by-step explanation:
Triangle ABC ha vertices at: A(-3,6), B(0,-4) and (2,6).
Let us apply 90 degrees clockwise about the origin twice to obtain 180 degrees clockwise rotation.
We apply the 90 degrees clockwise rotation rule.




We apply the 90 degrees clockwise rotation rule again on the resulting points:



Let us now apply 90 degrees counterclockwise rotation about the origin twice to obtain 180 degrees counterclockwise rotation.
We apply the 90 degrees counterclockwise rotation rule.




We apply the 90 degrees counterclockwise rotation rule again on the resulting points:



We can see that A''(3,-6), B''(0,-4) and C''(-2,-6) is the same for both the 180 degrees clockwise and counterclockwise rotations.
Answer:
Part A: a. the point 3 units to the left of 7
Part B: b. -4
Step-by-step explanation:
Part A: The expression can be simplified into 7 - 3, and when you subtract a number, you go left on the number line, so the point 3 left of 7
Part B: 7 - 3 = 4, and to get to 0 from 4, you need to subtract 4 or add -4
Answer:
21
Step-by-step explanation:
Use Pythagorean Theorem
If you are looking for leg given the other sides of the right triangle: just do bigger square minus small square
and take square root
so 29^2 - 20^2
And then sqrt it!
sqrt(29^2-20^2)
21