By solving a system of equations, we will see that m measures 12 units.
<h3>
How to get the measure of m?</h3>
Notice that we have 3 right triangles.
Then we can write the equations:
cos(a) = 6/m
For the small triangle on the left, where m is the hypotenuse.
cos(a) = m/(6 + 18)
For the larger triangle (the one composed of the two triangles).
Where in both equations, angle "a" is the one in the top left.
Then we have the system of equations:
cos(a) = 6/m
cos(a) = m/(6 + 18)
Then we can write:
6/m = m/(6 + 18)
If we simplify the expression, we get:
6*(6 + 18) = m^2
6*(24) = m^2
144 = m^2
√144 = m = 12
Then we conclude that m measures 12 units.
If you want to learn more about right triangles:
brainly.com/question/2217700
#SPJ1
Answer:
Hey there!
Eight years ago, Manuel's age was 36/2, or 18.
Now, his age is 18+8, or 26 years old.
So, he is 26 years old now.
Hope this helps :)
Answer:
10*15= 150
150 *8= 1,200
1,200 ÷ 2 = 600.
Step-by-step explanation:
Miss Sarah will need the same amount as Mr. Tom if she divides 1/16 by 2 and get 1/8. So they will have the same amount of cheese as the other person does
Answer
y=4x-8
Step-by-step explanation:
m = 4
y- 12 = 4(x-5)
simplify and keep it in point-slop form
y=4x-8
