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Akimi4 [234]
4 years ago
9

15. Suppose that PQ bisects ∠MPN. What conclusion can you make?

Mathematics
1 answer:
Oxana [17]4 years ago
7 0

Answer:

The bisector of an angle is a ray that separates the angle  into two congruent angles.

As, PQ bisects \angle MPN

then,

\angle MPQ \cong \angle QPN

By the definition of congruent angle : An angle that have the same measure

m \angle MPQ = m\angle QPN

As you can also see in the figure as shown below;

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the measurements of a photo and it's frame are shown in the diagram. Write a polynomial that represents the width of the photo.
suter [353]

Answer:

The width of the photo is 4w^2+6w+4.

Step-by-step explanation:

From the given figure it is notices that the total width of the frame is

6w^2+8

The photo is covered by a frame border and the width of the border is

w^2-3w+2

To find the width of the photo we have to subtract the width of upper frame border and lower frame border from the total width of frame.

Width of the photo is

\text{Width of the photo}=\text{Width of the frame}-2(\text{Width of the frame border})

\text{Width of the photo}=6w^2+8-2(w^2-3w+2)

\text{Width of the photo}=6w^2+8-2w^2+6w-4

\text{Width of the photo}=4w^2+6w+4

Therefore the width of the photo is 4w^2+6w+4.

4 0
3 years ago
One year Terry had the lowest ERA​ (earned-run average, mean number of runs yielded per nine innings​ pitched) of any male pitch
Colt1911 [192]

Answer:

Their respective​ z-scores are:

Thomas : -2.15279

Karla : -1.40221

Which player had the better year relative to their​ peers, Terry or Karla ​? ​

Terry had a better year because he had a lower Era and he was a better pitcher.

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score,

μ is the population mean

σ is the population standard deviation.

any male pitcher at his​ school,

For Thomas:

z = (x-μ)/σ

x = 2.85 μ = 4.893 σ = 0.949.

z = 2.85 - 4.893/0.949

z = -2.15279

For Karla

z = (x-μ)/σ

x = 2.95 μ = 4.348 σ = 0.997.

z = (2.95 - 4.348) /0

z = -1.40221

Their respective​ z-scores are:

Thomas : -2.15279

Karla : -1.40221

Which player had the better year relative to their​ peers, Terry or Karla ​? ​(Note: In​ general, the lower the​ ERA, the better the​ pitcher.)

Terry had a better year because he had a lower Era and he was a better pitcher.

5 0
3 years ago
Which of the following statements about Alf Landon are true? Check all of the boxes that apply.
zheka24 [161]

Answer:

A and C

Step-by-step explanation:

Did the same thing you did

6 0
3 years ago
Read 2 more answers
What is the mean of the data set below 2, 3, 5, 6, 6, 10, 15, 15,
SpyIntel [72]
6.5 is the mean of the data
4 0
3 years ago
Find part of a group
Yuki888 [10]
6/10 x 10/1
6 x 10 = 60
10 x 1 = 10
60/10 = 6

1/2 x 10/1
1 x 10 = 10
2 x 1 = 2
10/2 = 5

3/4 x 20/1
3 x 20 = 60
4 x 1 = 4
60/4 = 15
7 0
4 years ago
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