Answer:
755757
Step-by-step explanation:
Answer:
![x\geq -53](https://tex.z-dn.net/?f=x%5Cgeq%20%20-53)
Step-by-step explanation:
The inequality includes -53.
The interval notation is ![\:[-53,\:\infty \:)](https://tex.z-dn.net/?f=%5C%3A%5B-53%2C%5C%3A%5Cinfty%20%5C%3A%29)
![\{ x \in \mathbb{R}: x \geq -53 \}](https://tex.z-dn.net/?f=%5C%7B%20x%20%5Cin%20%5Cmathbb%7BR%7D%3A%20x%20%5Cgeq%20%20-53%20%5C%7D)
Answer:
x = 7
Step-by-step explanation:
Similar figures have sides that are proportional. Setting up a proportion for the sides of the figures will help solve for 'x':
![\frac{small}{large}=\frac{3}{6}=\frac{(x-3)}{(x+1)}](https://tex.z-dn.net/?f=%5Cfrac%7Bsmall%7D%7Blarge%7D%3D%5Cfrac%7B3%7D%7B6%7D%3D%5Cfrac%7B%28x-3%29%7D%7B%28x%2B1%29%7D)
Cross-multiply: 3(x + 1) = 6(x - 3)
Distribute: 3x + 3 = 6x - 18
Combine like terms: 21 = 3x
Solve for 'x': x = 7
Answer:
B. A dilation with a scale factor of 0.5
Step-by-step explanation:
A. is wrong because it is congruent transformation because reflections keep the angles and side lengths of the figure the same.
B. is right because it is NOT congruent because a dilation of any scale factor other than 1 results in a similar figure, because the side lengths are proprtional but not equivalent
C. is wrong because translations keep the angles and side lengths of the figure the same.
D. is wrong because a scale factor of 1 changes nothing about the figure.
Answer:
(5,26)
Step-by-step explanation: