In an equilateral triangle, the measure of each angle is 60 degrees. Then the value of x and y is 17/3 and 65.
<h3>What is the triangle?</h3>
A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
In trianlge ΔMNP, PM = 3x - 4, MN = 14, ∠N = 5y - 5.
In an equilateral triangle, all the sides and all the angles are equal.
MN = NP = PM
∠M = ∠N = ∠P
Then we have
PM = MN
3x - 4 = 14
x = 17/3
We know in an equilateral triangle, the measure of each angle is 60 degrees. Then we have
∠N = 60
5y - 5 = 60
5y = 65
y = 13
More about the triangle link is given below.
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Answer:
Step-by-step explanation:
3b+6
If you make both equations equal each other, you can then solve the system of equations.
The equation for a sequence is
an=a1+(n-1)d
Replace the variable with what you were given you get
37=-13+(n-1)5
Simplify
37=-13+5n-5
Combine like terms
37=5n-18
Reverse operations
55=5n
Simplify
n=11
