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DanielleElmas [232]
3 years ago
13

I need help on 25,27, 28,29,31 100 points for who answers it right

Mathematics
1 answer:
Vika [28.1K]3 years ago
5 0

Answer:

25. D          27. D       28. A       29. D. x = 7, y = 26       31.  D. 120 degrees

Step-by-step explanation:

25. Since the two parallelograms are congruent, you know what ∠B and ∠Y are supplementary.

This means that 3m + 70 + 80 = 180

3m + 150 = 180

3m = 30

D. m = 10

27. Since a vertex is (2,0), you know that two other vertexes are five units away in one direct and the other vertex will be five up or down and five over.

A is 5 units over, and that's a possible other coordinate, so it can't be A.

B is 5 over, so it's a possibility and it can't be B.

C is down 5 and 5 over, so it can be the coordinate across from (2,0), so it can't be C.

D is 7 up and 2 over, which isn't within our 5 unit frame! So it must be D!

E is 5 up and 5 over, so it can still count as a possibility.

28. When you observe the coordinates, you'll notice that FG ║ HI, and FH ║ GI. This eliminates the possibility of it being a kite and ensures that it will at least be a parallelogram!

From here, you can also observe that FG ≅ HI, and FH ≅ GI. This shows you that it's not a square despite that it has right angles.

The presence of right angles shows that it's not a rhombus and instead must be a rectangle.

29. Even though the problem only identifies it as a quadrilateral, it must be a parallelogram because of the parallel sides. Opposite angles on parallelograms are congruent, so we can begin with:

6x - 8 = 4x + 6

2x = 14

x = 7

From here, you can plug "x" back into the equation to find the value of those two angles.

6(7) - 8

42 - 8

34

Now that we know that those two angles are 34 degrees, we know that they total to 68 degrees.

Since the sum of internal angles on a quadrilateral is 360 degrees, the other two anglers must be 360 - 68.

That means the total of those two angles is 292 degrees.

Since we know the angles are equal (def. of parallelogram), we know that:

146 = 5y + 16

140 = 5y

y = 26

D. x = 7, y = 26

31. The arc is 120 degrees because the angle because at the other side instead of at the center of the circle, so you double the angle.

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