Simplify: (x+4)*(2x+5
1 answer:
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Given:
Radius of small circle = 4 in.
Width of gray border = 2 in.
To find:
The area of the gray border.
Solution:
We have, radius of small circle:
The width of gray border is 2 in. So,t he radius of the larger circle is:
Now, area of gray border is the difference for area of larger circle and smaller circle.
Substituting in the above formula, we get
The area of the gray border is square inches. Therefore, the correct option is D.
Answer:
D) x = 40.5
Step-by-step explanation:
When parallel lines create a smaller triangle inside a larger triangle, the triangles are similar. Triangle similarity means that side lengths are proportional, meaning to find x we must use dimensions of the smaller triangle to create a proportion.
The left side of the larger triangle is 12 + 15, so it is 27.
The left side of the smaller triangle is 12.
So, part of the proportion will be
The bottom side of the larger triangle is x.
The bottom side of the smaller triangle is 18.
So, part of the proportion will be
The full proportion will be:
Cross multiply and solve for x.
27(18) = 12x
486 = 12x
40.5 = x
