By solving a system of equations, we will see that m measures 12 units.
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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
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Answer:
it shows commutative property
4.05x+5.25(149-x)=710.25
Solve for x
X=60 ........4.05
149-60=89.....5.25
Answer:
y = 20 + .5x
Step-by-step explanation:
Suppose that a cell phone monthly rate plan costs the user 5 cents per minute beyond a fixed monthly fee of $20. This implies that the relationship between monthly cost and monthly number of minutes is linear. Write an equation that relates total monthly cost to monthly minutes used.
Fixed monthly fee = $20
Fee per minute = $0.5
Number of minutes = x
Variable monthly cost = 0.5x
Let Total monthly cost = y
Total monthly cost = fixed monthly cost + variable monthly cost
y = 20 + .5x
Equation that relates total monthly cost to monthly minutes used is y = 20 + .5x
Answer:
Vertical
Step-by-step explanation:
Vertical angles are two nonadjacent angles formed by two intersecting lines.
