The sides of the triangle are 20 in, 48 in and 52 in
<u>Explanation:</u>
Given:
Let x be the length of smaller leg
Hypotenuse, H = x + 32
Height, h = x + 28
Length of the sides of a triangle = ?
If the triangle is a right angle triangle then we use pythagoras theorm to solve the question.
So,
(Hypotenuse)² = (height)² + (Base)²
(x + 32)² = (x + 28)² + (x)²
x² + 1024 + 64x = x² + 784 + 56x + x²
240 + 8x - x² = 0
x² - 8x - 240 = 0
Solving the quadratic equation:
x² + 12x - 20x - 240 = 0
x(x+12) - 20(x+12) = 0
(x-20) (x+12) = 0
(x-20) = 0
x = 20 in
Hypotenuse, H = x + 32
H = 20 + 32 in
H = 52 in
Height, h = x + 28
h = 20 + 28 in
h = 48 in
Therefore, the sides of the triangle are 20 in, 48 in and 52 in
It would be (0,-2) as the answer
<u>Answer:</u>
Reflections
<u>Explanation:</u>
<u>1- For translation:</u>
A translation can be a composition of a reflection as it can composed by two reflections over parallel lines.
These lines should be separated by a distance equal to half the distance of translation
<u>2- For rotation:</u>
A rotation can be a composition of a reflection as it can composed by two reflections over non-parallel lines.
These two non-parallel lines should intersect at the point representing the center of rotation
Hope this helps :)
Hey there!
Consider the fact that, in this case, Bo's paycheck is equal to 1 whole part. This is what we will use to subtract each fraction from.
First, we can subtract the fractions that go towards bills and savings. Remember that savings was done <em>after</em> the bills were paid.
Now, you can find, of 3 tenths, how much each of the three children get. We could write it out, but it's obvious that each child will get one tenth of the check, considering that there are three tenths to split between each one.
Your answer is
.
Hope this helped you out! :-)