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vladimir2022 [97]
3 years ago
9

In the diagram, MQ = QP = PO = ON. Triangles Q M P, M P N, and P N O are connected. Sides Q M, Q P, P O, and N O are congruent.

If NP is greater than MP, which must be true? Segment OP is longer than segment MQ. Segment MN has the same length as segment MP. The measure of angle Q equals the measure of angle O. Angle O is larger than angle Q.
Mathematics
1 answer:
aliya0001 [1]3 years ago
7 0

Answer:

MQ IS GREATER I THINK I GAD THAT SAME QUESTION

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What are the coordinates of the circumcenter of this triangle?
Oduvanchick [21]

Answer:

The coordinates of the circumcenter of this triangle are (3,2)

Step-by-step explanation:

we know that

The circumcenter is the point where the perpendicular bisectors of a triangle intersect

we have the coordinates

A(-2,5),B(-2,-1),C(8,-1)

step 1

Find the midpoint AB

The formula to calculate the midpoint between two points is equal to

M=(\frac{x1+x2}{2},\frac{y1+y2}{2})

substitute the values

M=(\frac{-2-2}{2},\frac{5-1}{2})

M_A_B=(-2,2)

step 2

Find the equation of the line perpendicular to the segment AB that passes through the point (-2,2)

Is a horizontal line (parallel to the x-axis)

y=2 -----> equation A

step 3

Find the midpoint BC

The formula to calculate the midpoint between two points is equal to

M=(\frac{x1+x2}{2},\frac{y1+y2}{2})

substitute the values

M=(\frac{-2+8}{2},\frac{-1-1}{2})

M_B_C=(3,-1)

step 4

Find the equation of the line perpendicular to the segment BC that passes through the point (3,-1)

Is a vertical line (parallel to the y-axis)

x=3 -----> equation B

step 5

Find the circumcenter

The circumcenter is the intersection point between the equation A and equation B

y=2 -----> equation A

x=3 -----> equation B

The intersection point is (3,2)

therefore

The coordinates of the circumcenter of this triangle are (3,2)

3 0
3 years ago
(02.06)A local store has a puppy that weighs 56 ounces. How many pounds does the puppy weigh, given that 1 pound = 16 ounces? (I
viktelen [127]
The answer should be 3.5 pounds. You divide 56 by 16 to get your answer
3 0
3 years ago
Twenty-seven is smaller than five times a number increased by seven
mixas84 [53]

Answer:

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Step-by-step explanation:

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increase means add

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inna [77]
As the angle sum of triangle is 180
with one angle is 60 the sum of the remains two angles is 120

let the smallest angle be x
as the larger angle is twice of the smaller angle, it will be 2x
therefore, x+2x = 120, x= 40

so the smallest angel of the triangle is 40 degree
7 0
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There are 84 boys in a senior class of 146 students. find the ratio of boys to girls. (note: if you know the total number of stu
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84 to 62. You have to subtract 146-84 to get the number of girls from the class.
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