The measure of the angle PUT is 13 degrees and the measure of the angle PQR = 21 degrees
<h3>What is an angle?</h3>
When two lines or rays converge at the same point, the measurement between them is called a "Angle."
We have triangles shown in the picture.
In the first triangle SUT:
PU is bisecting the angle SUT:
The measure of angle PUT:
Angle PUT = Half of Angle SUT
= 26/2
= 13 degrees
In the triangle SQR:
Angle SQP = Angle PQR
Angle SQP = 21 degrees
Angle PQR = 21 degrees
Thus, the measure of the angle PUT is 13 degrees and the measure of the angle PQR = 21 degrees
Learn more about the angle here:
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sin(x) = ⁴/₅
sin⁻¹[sin(x)] = sin⁻¹(⁴/₅)
x ≈ 53.13
cos(90 - x) = cos(90)cos(x) + sin(90)sin(x)
cos(90 - 53.13) = cos(90)cos(53.13) + sin(90)sin(53.13)
cos(36.87) = 0cos(53.13) + sin(53.13)
cos(36.87) = sin(53.13)
cos(36.87) = cos(90 - 53.13)
cos(36.87) = cos(36.87)
Answer:

Step-by-step explanation:
So we know that:

And that the two angles are vertical angles.
Since they are vertical angles, their measurements are equivalent. Thus, to find x, set the equations equal to each other:

Now, solve for x. Add 30 to both sides. The left side cancels:

Now, subtract 2x from both sides. The right cancels:

Thus, the value of x is 21.
Answer:
(2,1)
Step-by-step explanation:
The solutions are the points located inside the shaded region. The only point not located in that region is the point (2, 1). Therefore, (2, 1) is not a solution to the system of inequalities.
Answer:
i believe its 2,500
hope this helps just tryna get points but give you the right answer
Step-by-step explanation: