Answer:
8 feet
Step-by-step explanation:
First, draw a picture. The pole is 22 feet tall. Katherine is 5.5 feet tall. She is 24 feet from the pole. The light from the top of the pole to the tip of her shadow forms two similar right triangles. The length of her shadow is x.
Now use similar triangles to write a proportion:
22 / (24 + x) = 5.5 / x
Cross multiply:
22x = 5.5 (24 + x)
Distribute:
22x = 132 + 5.5x
Combine like terms:
16.5x = 132
Divide:
x = 8
The shadow is 8 feet long.
Answer:
The correct answer is option D. Dilation by a scale factor of 2 followed by reflection about the x-axis
Answer:
Step-by-step explanation:
I think it's the loan balances decreases $500 per month because every month it starts decreasing down by 500
Answer:
14a² - 3b² + 4b
Step-by-step explanation:
Like terms are the terms that have similar stuff on it, like same variables, no variables, and stuff like that.
4a2-3b2+ 4b + 10a2
4a² and 10a² is similar. 4a² + 10a² = 14a²
Now, the equation is 14a² - 3b² + 4b. There is no more like terms left, so that is the answer.
Hope this helps!!
-Ketifa