Answer:
x = -5
Step-by-step explanation:
Since these two triangles are similar, the ratio between the corresponding lengths of each triangle will be the same.
This means the ratio between one side of each triangle (e.g. AD and DC) will be the same as the ratio between a different side of each triangle (e.g. BE and BC).
So, to create an equation for the sides which contain the unknown 'x', we must first find the ratio between the two sides by using a different set of sides.
On the right side we are given 9 for AD, and 18 for DC.
9/18 = 0.5
This means that the extra length of the larger triangle from the smaller one (AD) is half the length of the smaller triangle (DC). We can use this to make an equation for x:
If AD/DC = 0.5, then BE/EC will also = 0.5
BE = x+23
EC = x+41
Therefore:
Now we can solve by multiplying both sides by x+41 to eliminate the fraction:
Now we multiply out the brackets and move the terms to different sides:
And if we substitute the -5 into the equations:
-5+23 = 18
-5 + 41 = 36
We will see that -5 does indeed give us the same ratio between the lengths:
18/36 = 0.5
Hope this helped!
Answer:
d(1) = -3 and d(2)= -28
Step-by-step explanation:
Given that the distance d, in centimeters, that a diving board bends below its resting position when you stand at its end is dependent on your distance x, in meters, from the stabilized point
For finding out the distances for x=1 and x=2
let us substitute 1 and 2 for x
d(1) = -3 and d(2)= -28
Answer:
66π
Step-by-step explanation:
SA= 2πrh+2πr²
SA= 2π x 3 x8 + 2π x 3x3
= 48π + 18π
=66π
hope this helps!
Answer:
The quantity of board which Mr. Stevens need to buy is 22.4 meters
Step-by-step explanation:
Given as :
The length of board = 6.9 meters
The width of board = 4.3 meters
Let The measure of new board = x meter
Now,
The measure of new board = The perimeter of board
∵ The board is of rectangle figure
As, The perimeter of rectangular board = 2 × Length + 2 × width
So, The measure of new board = 2 × Length + 2 × width
or, x = 2 × 6.9 + 2 × 4.3
or, x = 13.8 + 8.6
or, x = 22.4 meters
So, The measure of new board = x = 22.4 meters
Hence The quantity of board which Mr. Stevens need to buy is 22.4 meters Answer
Answer:
9) slope of AC = slope of FH
Equation of the line is y = - x + 5
10) Area = 320
Step-by-step explanation:
For 9, the only thing similar IS the slope of the hypotenuse because the triangles are along the same line. Unless they're asking for the equation of the line, then that's just using the point slope equation which is:
y = - x + 5
For 10, just multiply 4 and 5 by 4 to get 16 and 20. Then multiply 16 and 20 to get 320.
