Answer: x=25, y=19
Step-by-step explanation: Because the triangle is equilateral, all the angles must be equal to 60 degrees. So 2x+10=60. 2x=50 and x=25. Then the same thing: 3y+3=60. 3y=57, y=19.
Answer:
20.833 feet
Step-by-step explanation:
The light reflects off the mirror at the same angle that it hits it at. So the triangle formed by the beam and mirror is similar to the triangle formed by Kevin and the mirror.
Therefore, we can write and solve a proportion.
h / 10 = 6.25 / 3
h = 20.833
The beam is 20.833 feet tall.
Answer:

Step-by-step explanation:
You have the following quadratic equation given in the problem:

You must make the equation equal to zero, as following:

Add like terms:

Now, to factor the equation, you must find two numbers whose sum is -2 and whose product is -15. Therefore, you have:

Answer:
0.079
Step-by-step explanation:
7.9% written as a decimal is 0.079.