Answer:
48 ft.
Step-by-step explanation:
Since triangles ABC and DEC are similar (you can prove this quite easily), then we know the ratio of the sides are equal. This is a property of similar triangles. So we take the ratio of the sides CE and DE and the ratios of the sidesBC and AB.
We get:

So x is 48 ft.
The Meaning<span> of </span>Slope<span> and </span>y-Intercept. in the Context of Word Problems. In theequation<span> of a straight line (when the </span>equation<span> is written as "</span>y<span> = mx + b"), the </span>slope<span> is the number "m" that is multiplied on the x, and "b" is the </span>y-intercept<span>, where the line crosses the </span>y<span>-axis.</span>
Answer:
is the answer.
In decimal y = 43.71
Step-by-step explanation:
Given:
y varies directly with x .
Also x = 7 when y = 18
To Find:
y = ? when x = 17
Solution:
y varies directly with x .
i.e. y is directly proportional to x
∴ 
Where
k = constant of proportionality {Remain Same}
First we will find constant of proportionality k,
∴ When x = 7 and y = 18 we have
∴ 
Now when x= 17 and
we have
∴ 
∴ 
Answer:
x = 25
Step-by-step explanation:
This is an equilateral triangle as all 3 angles are marked as equal.
Hence the 3 sides are equal
Equate any 2 and solve for x
4x - 30 = 3x - 5 ( subtract 3x from both sides )
x - 30 = - 5 ( add 30 to both sides )
x = 25
As a check on the sides
4x - 30 = (4 × 25) - 30 = 100 - 30 = 70
3x - 5 = (3 × 25 ) - 5 = 75 - 5 = 70
2x + 20 = (2 × 25 ) + 20 = 50 + 20 = 70
confirming that x = 25