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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I think it is A. not sure though
First we need to find x so 6x+8x+6x= 180
20x=180 and x= 9
So A= 6*9= 54
B= 8*9= 72
C= 6*9= 54
Answer: Option d: -3*x^4*y + 2*x^2*y^2 + 5*y^3
Step-by-step explanation:
In standard form, the first term of the polynomial must be the term with the highest degree and on each subsequent term the degree decreases. In the case of two variables, the degree is equal to the sum of the exponents.
Then the correct option is d.
Where the degree of the first term is (4 + 1) = 5
The degree of the second term is (2 + 2) = 4
The degree of the third therm is 3.
We can see that the degree decreases as the term number increases, then the polynomial written in standard form is:
-3*x^4*y + 2*x^2*y^2 + 5*y^3
Answer:
Option 1 - X = 9
Step-by-step explanation:
The solution to this equation, x - 15 = - 6
Solving the following,
Step 1: x - 15 = -6
Replace all the numerical values in one side and x digits on the other side
Step 2: x = -6+15
Step 3: x = 9
Therefore, the value of x is 9.
