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:
300000 × 300000
Step-by-step explanation:
You add zeros to the number without the exponent (in this case '3') based on the exponent number (in this case '5').
Well the answer is 300 hundred students because there is 36 that makes 12% then to find 100% you need to do 12/36= 100/x doing this given x = to 300 total
Given:
The side lengths of two cubes are 12 ft and 6 ft.
To find:
The side length of third cube.
Solution:
From the given figure it is clear that the cubes are inclined to each other in such a way so that they form a right angle triangle and side length of third cube is the hypotenuse.
Let x be the side length of the third cube.
Using Pythagoras theorem, we get




Taking square root on both sides, we get


Side cannot be negative. So,

Therefore, the side length of the third cube is
ft.
Answer:
16 units
Step-by-step explanation: