Answer: B) Corresponding sides of the two triangles have the ratio of 4:1, which proves SSS similarity. The length of the lake is 132m.
Step-by-step explanation: <u>Similar</u> <u>Triangles</u> are triangles with corresponding sides proportional to each other.
One way to determine if two triangles are similar is a theorem called Side-Side-Side Similarity Theorem or <u>SSS</u> <u>similarity</u> and it states that two triangles are similar if corresponding angles are equal and corresponding sides are proportional.
The triangles below are similar and they obey this theorem because we observe that the angles are the same and the corresponding sides are proportional:
So, the ratio of bigger triangle and smaller triangle is 4:1.
With that ratio and suppose length is represented as L:
L = 132
The length of the lake is 132m.
Thus, the answer for this question is
1) The similarity of the triangles is proved by SSS similarty;
2) Ratio of proportion is 4:1;
3) Length of the lake is 132m;
Answer:
The unit price of brant A and brand B is 0.1311 and 0.1704 and brand A would be better
Step-by-step explanation:
The computation of the unit price for each brand is shown below:
For brand A, the unit price is
= 2.36 ÷ 18 pencils
= 0.1311
For Brand b, the unit price is
= 4.09 ÷ 24
= 0.1704
So here as we can see that brand A would be better as it has less cost as compared with brand B
Thank you for posting your answer, but I don't think this answer is possible to solve, because of its lack of information.
You cant determine "u" if there is no "equal" sign with an answer following
But if you were looking to simplify the expression
The answer would be
A. Yes. Each x value has only one y value. No x value has 2 different y values.
B. For the table, y is 8 when x is 11.
Plug in the value to determine the y value for the equation.
f(x)= 5(11)-21
f(x)= 55-21
f(x)= 34
Since 34>8, the value of the equation f(x) is greater when x=11.
C. 99=5x-21
120=5x
x=24
Final answer: 24