Answer:
The scale factor of the dilation is 2/3
Step-by-step explanation:
point (24,36) to (16,24)
16/24 = 2/3
24/36 = 2/3
Answer
The scale factor of the dilation is 2/3
Answer:
I think C would be 3.25
Step-by-step explanation:
Because if you divide 65/20+3.25 sorry if i'm wrong.
The question is incomplete. Here is the complete question.
m∠J and m∠Kare base angles of an isosceles trapezoid JKLM.
If m∠J = 18x + 8, and m∠M = 11x + 15 , find m∠K.
A. 1
B. 154
C. 77
D. 26
Answer: B. m∠K = 154
Step-by-step explanation: <u>Isosceles</u> <u>trapezoid</u> is a parallelogram with two parallel sides, called Base, and two non-parallel sides that have the same measure.
Related to internal angles, angles of the base are equal and opposite angles are supplementary.
In trapezoid JKLM, m∠J and m∠M are base angles, so they are equal:
18x + 8 = 11x + 15
7x = 7
x = 1
Now, m∠K is opposite so, they are supplementary, which means their sum results in 180°:
m∠J = 18(1) + 8
m∠J = 26
m∠K + m∠J = 180
m∠K + 26 = 180
m∠K = 154
The angle m∠K is 154°
![\sqrt{x} - \sqrt{y} = (\sqrt[4]{x}+ \sqrt[4]{y} )( \sqrt[4]{x} - \sqrt[4]{y} )=72\\\\ \sqrt[4]{x}- \sqrt[4]{y}=6\\\\ (\sqrt[4]{x}+ \sqrt[4]{y})*6=72\\\\ \sqrt[4]{x}+ \sqrt[4]{y}=12 \\ \sqrt[4]{x}- \sqrt[4]{y}=6 \\\\ 2 \sqrt[4]{x}=18==\textgreater\sqrt[4]{x}=9==\textgreater\ x=6561\\ 2 \sqrt[4]{y}=6==\textgreater\sqrt[4]{y}=3==\textgreater\ y=81\\ ](https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%7D%20-%20%5Csqrt%7By%7D%20%3D%20%28%5Csqrt%5B4%5D%7Bx%7D%2B%20%5Csqrt%5B4%5D%7By%7D%20%29%28%20%5Csqrt%5B4%5D%7Bx%7D%20-%20%5Csqrt%5B4%5D%7By%7D%20%29%3D72%5C%5C%5C%5C%0A%5Csqrt%5B4%5D%7Bx%7D-%20%5Csqrt%5B4%5D%7By%7D%3D6%5C%5C%5C%5C%0A%28%5Csqrt%5B4%5D%7Bx%7D%2B%20%5Csqrt%5B4%5D%7By%7D%29%2A6%3D72%5C%5C%5C%5C%0A%5Csqrt%5B4%5D%7Bx%7D%2B%20%5Csqrt%5B4%5D%7By%7D%3D12%20%5C%5C%20%0A%5Csqrt%5B4%5D%7Bx%7D-%20%5Csqrt%5B4%5D%7By%7D%3D6%20%5C%5C%5C%5C%0A2%20%5Csqrt%5B4%5D%7Bx%7D%3D18%3D%3D%5Ctextgreater%5Csqrt%5B4%5D%7Bx%7D%3D9%3D%3D%5Ctextgreater%5C%20x%3D6561%5C%5C%0A2%20%5Csqrt%5B4%5D%7By%7D%3D6%3D%3D%5Ctextgreater%5Csqrt%5B4%5D%7By%7D%3D3%3D%3D%5Ctextgreater%5C%20y%3D81%5C%5C%0A%0A%0A%20)
![\sqrt[4]{6561} - \sqrt[4]{81} =9-3=6\\\\ \sqrt{6561} - \sqrt{81} =81-9=72](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B6561%7D%20-%20%5Csqrt%5B4%5D%7B81%7D%20%3D9-3%3D6%5C%5C%5C%5C%0A%20%5Csqrt%7B6561%7D%20-%20%5Csqrt%7B81%7D%20%3D81-9%3D72)
