MATHEMATICS HIGH SCHOOL

In the diagram, . Triangles P M N and Q S R are shown. The lengths of sides P N and R Q are congruent, the lengths of sides Q S and P M are congruent, and the lengths of sides M N and R S are congruent.

If QR = 20 in., RS = 7 in., and SQ = 24 in., what is PN?

3 in.
7 in.
20 in.
24 in.

Answers

Answer 1
Answer:

Answer: PN= 20 in.

Step-by-step explanation:

Given: In triangles PMN and QSR :

Length of P N ≅ Length of RQ  (1)    [ '≅' → Sign of congruence]

Length of QS ≅ Length of PM

Length of MN ≅ Length of RS

By SSS congruence rule

ΔPMN ≅ ΔQSR

Since Length of QR =20 in. [Given]

From (1)

Length of PN= 20 in.  [Congruent means exactly equal]
Answer 2
Answer:

Answer:

Its C brudda

Step-by-step explanation:

Ronaldo>Messi

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7. $65Alexis owed her brother $30. After her birthday, she was able to pay him back
and still have $35. How much money did Alexis receive for her birthday?

Answers

Answer:

$65

Step-by-step explanation:

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100 points: Sketch a graph of y = 1x| Then sketch a graph of y = -x + 4 on the same coordinate plane. If you can change colors of your graph, make this one red. In the box below, describe the transformation that took place from y=[xl to y = -1x + 4|​

Answers

Answer:

i cant like give you the answer off the top of my head but when i did this  the video helped me a lot

Step-by-step explanation:

its How to Graph the line y = x by Cowan Academy

If the equation of a circle is (x + 4)2 + (y - 6)2 = 25, its radius is:

Answers

Hey there :)

The equation of a circle is:
( x - h )² + ( y - k )² = radius²

Therefore, in this example,
( x + 4 )² + ( y - 6 )² = 25
25 = radius²
√(radius^2) = √(25)
radius = 5

Final answer:

The equation you provided is a standard form equation for a circle. By comparing it to the general circle equation and taking square root of the constant on the right side, we find that the radius of the circle is 5.

Explanation:

The equation of a circle is typically given in the form (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.

  • Looking at your given equation: (x + 4)² + (y - 6)² = 25, we can see that this fits the general form.
  • The radius r is given by the square root of the number on the right side of the equation. In this case, it equals to √25 which is 5.

Therefore, the radius of the circle is 5.

Learn more about Radius of Circle here:

brainly.com/question/31831831

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Find the slope of the line that passes through the two points
(2, 8) and (3, 14)

Answers

The equation of the line that passes through (2, 8) and (3, 14) will be y = 6x - 4.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

\rm (y - y_2) = \left ((y_2 - y_1)/(x_2 - x_1) \right ) (x - x_2)

The points are given below.

(2, 8) and (3, 14)

The equation of the line that passes through (2, 8) and (3, 14) will be given as,

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The condition of the line that goes through (2, 8) and (3, 14) will be y = 6x - 4.

More about the line passing through two points link is given below.

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Answer:

6

Step-by-step explanation:

The slope is calculated by finding the change in y-coordinates and dividing that by the change in x-coordinates.

The change in y:

8-14=-6

The change in x:

2-3=-1

The slope:

slope=(-6)/(-1) =6

If H is the midpoint of GI, solve for x when GH = 5x + 2 and GI = 11x -10.

Answers

Answer:

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Step-by-step explanation:

If H is the midpoint of GI, then

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