Answer:
what is the question
Step-by-step explanation:
Answer:
The measures of the acute angles are 38 and 52 degrees.
Step-by-step explanation:
In a right triangle, there are three angles, a right angle and two acute angles. In every traingle, the sum of the measures of the angles is 180 degrees. Let's call the acute angles
and
.

The problem also says that one angle is twice the difference of the other angle and 12. That would look like this:

Now we have two equations. If we simplify them, we get these:

Now you can substitute
in the first equation for
in the second equation

Add
to both sides of the equation

Add
to both sides

Divide both sides by 3

Now, you can substitute
for
in the first equation and simplify.


Therefore,
, and 
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Answer:
Hemisphere Formulas in terms of radius r:
Volume of a hemisphere: V = (2/3)πr.
Step-by-step explanation:
Answer:
y = x - 5
Step-by-step explanation:
Given the equation
y = x + ?
We are being asked what value is added to x to give y
Consider the table, that is
x = 1 → y = - 4
x = 2 → y = - 3
x = 3 → y = - 2
x = 4 → y = - 1
x = 5 → y = 0
x = 6 → y = 1
In each case 5 is being subtracted from x to obtain y, that is
y = x - 5 ← equation relating x and y
Answer:
x-less than-or-equal-to 3
Step-by-step explanation:
4x + 6 < 18 (less than or equal to)
4x < 12 (less than or equal to) x < 3 (less than or equal to)