The triangles in each pair are similar. Solve for x. A) 10 B) 6 C) 8 D) 4
2 answers:
Answer:
D
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
50(19x + 5) = 4050 ( divide both sides by 50 )
19x + 5 = 81 ( subtract 5 from both sides )
19x = 76 ( divide both sides by 19 )
x = 4 → D
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The area of a square and a rectangle is given by multiplying the lengths of the sides of the square
A. The correct statements are;
The area of one square tiles <u>9·x²</u>
The area of the floor is <u>36·x⁶</u>
B. The number of tiles needed to cover the floor <u>324 tiles</u>
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The reason the above values are correct are as follows:
A. The given parameters are;
The expression that represents the side lengths of the square room = 6·x³ feet
The side lengths of the square tiles = 3·x
Required:
To select the correct expressions
Solution:
The area of one square tiles = 3·x × 3·x = 9·x²
The area of the floor = 6·x³ × 6·x³ = 36·x⁽³ ⁺ ³⁾ = 36·x⁶
B. If x = 3, we have;
The area of the floor, = 36×3⁶ = 26,244
The area of one tile = 9 × 3² = 81
The number of tiles needed to cover the floor = <u>324 tiles</u>
Learn more about multiplying side lengths to find area here:
Answer:
x = 1/4
Step-by-step explanation:
To solve, we need to find the constant of proportionality (k) which is defined by the equation:
yx = k
Therefore when y= 16,