Given:
In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle.
To find:
The measures of the 2 acute angles of the triangle.
Solution:
Let x be the measure of one acute angle. Then the measure of another acute is (2x+12).
According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees. So,
![x+(2x+12)+90=180](https://tex.z-dn.net/?f=x%2B%282x%2B12%29%2B90%3D180)
![3x+102=180](https://tex.z-dn.net/?f=3x%2B102%3D180)
![3x=180-102](https://tex.z-dn.net/?f=3x%3D180-102)
![3x=78](https://tex.z-dn.net/?f=3x%3D78)
Divide both sides by 3.
![x=\dfrac{78}{3}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B78%7D%7B3%7D)
![x=26](https://tex.z-dn.net/?f=x%3D26)
The measure of one acute angle is 26 degrees. So, the measure of another acute angle is:
![2x+12=2(26)+12](https://tex.z-dn.net/?f=2x%2B12%3D2%2826%29%2B12)
![2x+12=52+12](https://tex.z-dn.net/?f=2x%2B12%3D52%2B12)
![2x+12=64](https://tex.z-dn.net/?f=2x%2B12%3D64)
Therefore, the measures of two acute angles are 26° and 64° respectively.
Answer:
6=x
Step-by-step explanation:
To find angle c, the fourmula is 1/2 of the intercepted arc. so, this would be (-3x-6)=(-4x)/2, then bring the 2 over, (-3x-6)2=-4x, multiply the 2, -6x-12=-4x, -2x=12, simplify, x=-6
check by plugging in.
Answer: (7.97)
Step-by-step explanation:
1 dozen = 5.98
.5 dozen = 2.99
5.98+2.99=8.79 8.79- the 1.00 is (7.97)
hope this helps!