If 2 triangles are similar, the ratio of one side of the triangle to the corresponding side of the other is always same for all 3 sides.
We can make use of this rule to calculate the length of sides.
From the image,
3 / 15 = 6 / x
Simplify,
1 / 5 = 6 / x
Use cross method to solve this.
5 x 6 = 1 x x
X = 30
Therefore the length of x is 30ft., A.
Answer:
Total surface = 102.4 cm^2 (second answer in the list of options)
Step-by-step explanation:
Notice that we need to add the surface of 4 rectangles, two have smaller sizes than the other two. A pair of rectangles are 7.2 cm x 4 cm = 28.8 cm^2, while the other pair has 7.2 cm x 2 cm = 14.4 cm^2
There are also two equal bases each one of size 4 cm x 2 cm = 8 cm^2
Now we add two of each of the individual surfaces discussed above to complete the total surface area:
2 * 28.8 + 2 * 14.4 + 2 * 8 = 102.4 cm^2
which agrees with the second answer option provided.
Answer:
(-4, -5) it gives the answer in the question
Step-by-step explanation:
<span>625(5xy)^-3/ (5x)^2 y^7
625
= -------------------- / 25x^2y^7
125 x^3y^3
= 5/x^3y^3 / </span>25x^2y^7
= 5/x^3y^3 * (1/ 25x^2y^7)
= 1 / 5x^5y^10
answer
1
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5x^5y^10