4x = x + 15
Hope this helps you! Hope your thanksgiving goes well, here's a turkey!
Answer:
The length of hypotenuse is 
cm
Step-by-step explanation:
Let's length of hypotenuse is x
Since, a 12 cm altitude to the hypotenuse of a right triangle divides the hypotenuse into segments with ratio 3:2
so,
First part of hypotenuse length is
Second part of hypotenuse length is
now, we can draw triangle
We can see that
triangles ABD and ABC are similar
so, the ratio of their sides must be equal
now, we can solve for x
So,
The length of hypotenuse is cm
I assume we are writing the equation. The sum of a number and 14 is less than or equal to three times the number.
Let's put in a few values.
The sum of a number = x and + 14 is less than < or equal to = three times 3 * the number.
Now we have: x + 14 is < or = 3 * the number.
We can just remove the "is" and "or", because this is normal math patterns.
x + 14 <= 3 * the number.
"The Number" is referring to the "a number" at the very beginning. So we can replace that with the same variable.
x + 14 <= 3x
I believe he was ironing when the phone rang.
Original Circle Area = 45
A = pi * r^2
Plug in what we know:
45 = 3.14 * r^2
Divide 3.14 to both sides:
14.3312102 = r^2
Find the square root of both sides:
r = 3.78565849
Find 2/3 of this:
2/3 * 3.78565849 = 2.52377233
So this is the radius of the newly dilated circle.
A = pi * r^2
A = 3.14 * 2.52377233^2
A = 3.14 * 6.36942677
A = 20
So the area of the newly dilated circle is 20 square inches.
