In XYZ, XY=XZ Find the length of XY of XYZ if XY=2a, YZ=3a+1, andXZ=5a-12
1 answer:
Answer: XY = 8
Step-by-step explanation:
The diagram of the triangle XYZ is shown in the attached photo.
XY=XZ. This means that two sides of the triangle are equal. Two angles are also equal. It means that the triangle XYZ is an isosceles triangle.
Since XY=XZ, then
2a = 5a - 12
Subtracting 2a from both sides of the equation,
2a - 5a = 5a - 12 - 5a
-3a = -12
a = -12/-3
a = 4
Therefore, the length of XY is 2a = 2×4 = 8
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Answer:
The frequency of the given sinusoidal graph is 4.
Step-by-step explanation:
The frequency of a sinusoidal graph is the number of cycles it completes in the interval 0 to 2π radians.
From the given sinusoidal graph it is noticed that the the graph complete its one cycle in the interval 0 to .
If the complete its one cycle in , then the number of cycles completed by the graph in the inteval 0 to 2π is
Therefore the frequency of the given sinusoidal graph is 4.
Answer:
Step-by-step explanation:
You only need to isolate the term a to solve this problem.
Add by 3 from both sides.
Solve.
0+3=3
a/7<3
Multiply by 7 from both sides.
Solve.
3*7=21
<u>a<21</u>
As a result, the solution is a<21, which is our answer.