If PQR ≈ STU complete each part

3 = 21 degrees

5 = 21 degrees

1 = 60 degrees

2 = 39 degrees

4 = 39 degrees

Step-by-step explanation:

This problem is really quite easy once you break it down. I assume you want an answer based on the attachment. If a triangle is Isosceles, then its bottom two angles are congruent, so angle 3 = angle 5.

Then, 138 degrees + x * 2 = 180 degrees.

x * 2 = 42 degrees

x = 21 degrees

So 3 and 5 are each 21 degrees

If a triangle is equilateral, then it is also equiangular, meaning each of its angles are equal to each other, and they are each 60 degrees. Then, we know angle 1 is 60 degrees. For 2 and 4, we want to take the measure of the combination of 2 and 3 (the full 60 degrees), and subtract it by the measure of angle 3 to get the measure of angle 2. 60 - 21 = 39 degrees. Angle 2 is 39 degrees. The same can be done with angle 5 and 4 because they are the same measurements.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

question

what is the value of the third quartile of the data set represented by this box plot? a. 19 b. 21 c. 26 d. 29

answer

c