Q:

Oki I have a few but I’m giving a lot of points I just didn’t feel like doing them separate. Anne wants to draw two adjacent angles on a straight line. She wants one angle to be 24 degrees more than the other angle. Select two correct choices. A. The measure of the smaller angle is 33 degrees. B. The measure of the smaller angle is 78 degrees C. The measure of the larger angle is 57 degrees. D. The measure of the larger angle is 102 degrees. A triangle has a side 4.23 meters in length, a 63.2 degree angle, and a 75.9 degree angle. Which of the following statements about the triangle is true. Select all that apply. A. The triangle is an obtuse triangle. B. The triangle cannot be equilateral. C. The triangle must have a third angle measuring 40.9 degrees. D. The triangle should be isosceles 3. Mika used the proportion y-3 over x equals one third. (Y-3/x= 1/3). When deriving the equation on a line with similar triangles. Which of the statements are correct. Select two that apply. A. It has a slope of negative one third. (-1/3)B. It has a slope of one third. (1/3)C. It has a slope of 3. D. It has a y intercept of 3. E. It has a y intercept of one third. (1/3) F. It has a y intercept of 3. This is a parallelogram shaped sliding door. It has four sides. (P,Q) (P,S) (S,R) (Q,R) and (Q,P) More simply... Q is on the top right corner of the parallelogram, R is on the bottom right corner of the parallelogram, S is at the bottom left corner, and P is at the top left corner. Which two of the statements are true if the door moves two feet to the right. A. Side PQ would be parallel to SR, and angle R would measure 56 degrees. B. Side PS would be parallel to side QR and angle S would measure 124 degrees. C. Side PQ would be parallel to side PS and angle P would measure 56 degrees. D. Side QR would be parallel to side SR and angle Q would equal to 62 degrees. Last one!!A parallelogram has the verifies (-4,2) (-3,5) (2,-2) (3,5)The parallelogram was rotated 270 degrees counterclockwise about the origin. Which 3 would be the vertex of the origin. A. (-3,5) B. (-2,-2) C. (-2,4) D. (2,4)E. (3,-5) F. ( I’m rlly sry but I forgot this one)

Accepted Solution

A:
Given two angles of a triangle, we can find the third one by subtracting what we have from 180:
180-63.2-75.9=40.9°.  This means C is correct.
This also means that B is correct; if a triangle is equilateral, all angles must be congruent as well, which these are not.

Cross multiplying the proportion we have:
x*1 = 3(y-3)
1x = 3y - 9
Solving for y, we first cancel the 9 by adding:
1x+9 = 3y
Now we cancel the 3 by dividing:
1x/3 + 9/3 = 3y/3
1/3x + 3 = y
In this format, we can see that the slope (m) is 1/3 and the y-intercept (b) is 3.

Going by the directions for the points P, Q, R, and S, PQ would be parallel to SR and PS would be parallel to QR.  These sides are not parallel to any other sides of this figure.

For the last problem, the vertices given do not form a parallelogram.  There is only 1 pair of parallel sides using these points.