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Svetllana [295]
4 years ago
8

How many isosceles triangles appear in this figure?

Mathematics
1 answer:
SIZIF [17.4K]4 years ago
5 0
Though it looks like BE ≅ CE ≅ AD and BA ≅ BX ≅ DX, these congruencies are not indicated either on the drawing or in the problem statement. Thus they cannot be relied upon.

There is exactly 1 isosceles triangle in the figure.
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If mAngleP = 85°, which is a possible measure for AngleY? mAngleY = 80° mAngleY = 85° mAngleY = 100° mAngleY = 180°
Serhud [2]

Answer:

<h2>100°</h2>

Step-by-step explanation:

The complete question is

In the triangles, XY = MP and YZ = PN.

If mP = 85°, which is a possible measure for Y?

  1. mY = 80°
  2. mY = 85°
  3. mY = 100°
  4. mY = 180°

This problem is solved by simple reasoning.

In the figure, you can observe that angle Y is major than angle P, because the third side of the first triangle is major than the third side of the second triangle. So, the right answer must be higher than 85°, which is option 3, because it cannot be 180°, due to the graph doesn't show an straight angle at Y, and cannot be 80° because is lower than 85°

Therefore, the right answer is 100°.

4 0
3 years ago
CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM. I HAVE TO SOLVE FOR A AND B
mariarad [96]

Answer:

b is 10 degrees and a is 64 degrees.

Step-by-step explanation:

Properties of a parallelogram needed for this problem: Opposite angles are congruent and adjacent angles are supplementary, meaning they add to 180 degrees.

This means that in the picture, 2a and 12b+8 are equal, while 2a and 5b+2 are supplementary.

From this we can make two equations:

2a=12b+8

and

2a+5b+2=180

If we subtract 5b+2 in the second equation, both equations will equal 2a. I'll explain why that's good. We end up with:

2a=12b+8

and

2a=180-5b-2

Now, we can set the two equations equal to each other because they both equal the same thing. Then simplify.

12b+8=180-5b-2

17b=170

b=10

Knowing b is 10 degrees, we can easily plug that back into one of our original two equations. I'll choose 2a=12b+8.

2a=12(10)+8

2a=120+8

2a=128

a=64

b is 10 degrees and a is 64 degrees.

8 0
3 years ago
If T is the midpoint of SU what are ST, TU, and SU?
artcher [175]

Answer:

x=7, SU=63, TU=63, SU=126

Step-by-step explanation:

The mid point of SU is T meaning, ST=TU

we find value of x as 7.

replace x by 7 and find the value of given lines.

4 0
4 years ago
Which function's graph passes through the points (1,4), (2,9), and (3,16)?
irina [24]

Put the coordinates of the points to the equations of the functions and check:

for (1, 4)

y = 5x + 4 → 4 = 5(1) + 4 → 4 = 5 + 4 → 4 = 9  FALSE

y = (x + 1)² → 4 = (1 + 1)² → 4 = 2² → 4 = 4 CORRECT

y = (x + 3)² → 4 = (1 + 3)² → 4 = 4² → 4 = 16  FALSE

y = 7x - 5 → 4 = 7(1) - 5 → 4 = 7 - 5 → 4 = 2  FALSE

Only y = (x + 1)².

Check other points:

for (2, 9)

9 = (2 + 1)² → 9 = 3² → 9 = 9   CORRECT

for (3, 16)

16 = (3 + 1)² → 16 = 4² → 16 = 16   CORRECT

<h3>Answer: Only y = (x + 1)²</h3>
7 0
4 years ago
Read 2 more answers
Is the given value a solution to the equation?
svp [43]
Yes 8-3=-4+9. 8-3=5. -4+9=5
3 0
3 years ago
Read 2 more answers
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