Answer:
1. <
2. >
3. >
4. <
5. >
Step-by-step explanation:
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Answer:
(d) ∆UVW ~ ∆UWT ~ ∆WVT
Step-by-step explanation:
It is convenient to name the triangles starting with the right angle vertex, and naming the short side first. Smallest-to-largest, they are ...
UVW
UWT
WVT
You will notice these names match those in the list of choice D.
So for every 9 star beads you have, you have 6 moon beads. The rule is dividing.
6 divided by two (because we have two moon beads) is 3.
9 divided by three (because that's the answer to the first part) is 3.
So there are 3 star beads.
The second question is the same as the first one but halved
Let the side of the garden alone (without walkway) be x.
Then the area of the garden alone is x^2.
The walkway is made up as follows:
1) four rectangles of width 2 feet and length x, and
2) four squares, each of area 2^2 square feet.
The total walkway area is thus x^2 + 4(2^2) + 4(x*2).
We want to find the dimensions of the garden. To do this, we need to find the value of x.
Let's sum up the garden dimensions and the walkway dimensions:
x^2 + 4(2^2) + 4(x*2) = 196 sq ft
x^2 + 16 + 8x = 196 sq ft
x^2 + 8x - 180 = 0
(x-10(x+18) = 0
x=10 or x=-18. We must discard x=-18, since the side length can't be negative. We are left with x = 10 feet.
The garden dimensions are (10 feet)^2, or 100 square feet.
