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;
As <em>x</em> → 10 from above, <em>h(x)</em> is steadily approaching 18.5.
Convert 7/8 and 4/5 into common denominators using 40; 28/40 and 32/40, multiply those to get 22.4. Divide 7 by 20 to get 0.35. Divide 22.4 by 0.35 for an end quotient of 64.
Answer:
1200 > 42x+400
Step-by-step explanation:
We need to determine the equation of the line for the number of lilac bushes versus area
m = (y2-y1)/(x2-x1)
= (484-442)/(2-1)
= 42/1
= 42 square ft per lilac bush
Using point slope form of a line
y-y1 = m(x-x1)
y-442 = 42(x-1)
Distribute
y-442 =42x-42
Add 442 to each side
y-442+442 = 42x-42+442
y = 42x+400
This is the equation of the line
Ryan has less than 1200 square feet so our equation must be less than 1200 square feet
1200 > 42x+400