as you should already know, an absolute value expression, is in effect a piece-wise expression, since it has a ± versions.
![\bf \cfrac{|-2-2r|}{3}=4\implies \begin{cases} \cfrac{+(-2-2r)}{3}=4\\\\ \cfrac{-(-2-2r)}{3}=4 \end{cases}\\\\[-0.35em] ~\dotfill\\\\ \cfrac{-2-2r}{3}=4\implies -2-2r=12\implies -2-12=2r\implies -14=2r \\\\\\ \cfrac{-14}{2}=r\implies \boxed{-7=r}\\\\[-0.35em] ~\dotfill\\\\ \cfrac{-(-2-2r)}{3}=4\implies \cfrac{-2-2r}{3}=-4\implies -2-2r=-12 \\\\\\ -2+12=2r\implies 10=2r\implies \cfrac{10}{2}=r\implies \boxed{5=r}](https://tex.z-dn.net/?f=%20%5Cbf%20%5Ccfrac%7B%7C-2-2r%7C%7D%7B3%7D%3D4%5Cimplies%20%20%5Cbegin%7Bcases%7D%20%5Ccfrac%7B%2B%28-2-2r%29%7D%7B3%7D%3D4%5C%5C%5C%5C%20%5Ccfrac%7B-%28-2-2r%29%7D%7B3%7D%3D4%20%5Cend%7Bcases%7D%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B-2-2r%7D%7B3%7D%3D4%5Cimplies%20-2-2r%3D12%5Cimplies%20-2-12%3D2r%5Cimplies%20-14%3D2r%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B-14%7D%7B2%7D%3Dr%5Cimplies%20%5Cboxed%7B-7%3Dr%7D%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B-%28-2-2r%29%7D%7B3%7D%3D4%5Cimplies%20%5Ccfrac%7B-2-2r%7D%7B3%7D%3D-4%5Cimplies%20-2-2r%3D-12%20%5C%5C%5C%5C%5C%5C%20-2%2B12%3D2r%5Cimplies%2010%3D2r%5Cimplies%20%5Ccfrac%7B10%7D%7B2%7D%3Dr%5Cimplies%20%5Cboxed%7B5%3Dr%7D%20)
Answer:
is this a joke??
Step-by-step explanation:
3.46410161514. i used a calculator so hopefully this is correct
Answer:
7) D
8) A
9) A
10) D
11) C
12) B
Step-by-step explanation:
Answer:
The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115
Step-by-step explanation:
