The triangle is merely rotated. No other changes have been done to it whatsoever. Therefore, the measure of the angle should still be the same. Since angle KLM is equal to 30 degrees, then the measure of angle BCD should also be equal to 30 degrees.
Answer: <span>m∠BCD=30°</span>
Use Pythagorean theorem to solve.
a^2 + b^2 = c^2
6^2 + b ^2 = 14^2
36 + b^2 = 196
Subtract 36 from both sides.
b^2 = 196-36
b^2 = 160
Take the square root of both sides.
b = sqrt 160
As a decimal
b = 12.649
As a simplified radical
b = 4sqrt10
Answer: x = 2
Step-by-step explanation:
The rule for reflecting over x = 2 is that y remains the same and you add how many units x = 2 is from the point.
x = 2 is has the coordinate of x = 2 and y = the y coordinate of the point.
A (-1, 1) Since the y coordinate of (-1, 1) is 1, x = 2 - (2, 1)
Add 3 units to 2, the x coordinate since -1, 1 is 3 units from 2, 1
2,1 --> 5, 1
I really didn't know how to explain but Im 100% sure Im right and I hoped this helped somehow.
Answer:
3
Step-by-step explanation:
-m+8=4m-7
8=4m-(-m)-7
8=4m+m-7
8=5m-7
5m=8+7
5m=15
m=15/5
m=3
Answer
Find out the how many pounds did sofia recycle .
To prove
Let us assume that the james recycled be = x
As given
sofia recycled 3 pounds less than the amount james recycled.
hannah recycled 3 times the amount sofia recycled.
Sofia recycled be = x - 3
hannah recycled be = 3 × (x - 3)
As given
the three recycled a total of 73 pounds .
Than the equation becomes
x + x - 3 + 3 × (x - 3) = 73
x + x - 3 + 3x - 9 = 73
5x - 12 = 73
5x = 73 + 12
5x = 85
x = 17
Sofia recycled be = x - 3
= 17 - 3
= 14 pounds
Therefore 14 pounds sofia recycled .