Angle O=64
Side m=7.3159882(rounded if needed)
Side n=16.68902(round if needed)
We are given
Angle M which equal 26.
Angle N equals 90 degrees
Side MN which equal 15.
We are asked to find all the missing elements of the triangle.
- Angle O can be found using triangle interior theorem so we can add 90+26+x =180 to find the value that satisfies the x value.
Angle O=64 degrees
We can find side m by doing law of sines.
which is 7.315(round if neeeded).
We can find side n using pythagorean theorem,
Side n=16.689(round if needed)
9.
By the Segment Addition Postulate, SAP, we have
XY + YZ = XZ
so
YZ = XZ - XY = 5 cm - 2 cm = 3 cm
10.
M is the midpoint of XZ=5 cm so
XM = 5 cm / 2 = 2.5 cm
11.
XY + YM = XM
YM = XM - XY = 2.5 cm - 2 cm = 0.5 cm
12.
The midpoint is just the average of the coordinate A(-3,2), B(5,-4)
Answer: M is (1,-1)
You'll have to plot it yourself.
13.
For distances we calculate hypotenuses of a right triangle using the distnace formula or the Pythagorean Theorem.
Answer: AB=10
M is the midpoint of AB so
Answer: AM=MB=5
14.
B is the midpoint of AC. We have A(-3,2), B(5,-4)
B = (A+C)/2
2B = A + C
C = 2B - A
C = ( 2(5) - -3, 2(-4) - 2 ) = (13, -10)
Check the midpoint of AC:
(A+C)/2 = ( (-3 + 13)/2, (2 + -10)/2 ) = (5, -4) = B, good
Answer: C is (13, -10)
Again I'll leave the plotting to you.
4 percent of 66
0.04 = 4 percent
66 * 0.04 = 2.64
The shipping fee is $2.64
Answer:
Slope = 2/3
Step-by-step explanation:
Slope = Change over y (rise) over change over x (run)
Pick two dot points on the line
Count how many units over they are until you get to the next dot, then count how many units up until you reach the next dot
Remember: Y runs vertically, X runs horizontally
Put the unit number that ran vertically on the top, then put the unit number that runs horizontally on the bottom
If needed simplify
The slope is 2/3
