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2 years ago

If R is between P and Q, find the value of x and PR. PQ=17, PR=5x+2, RQ=x^2-1

Mathematics

1 answer:

vodka [1.7K]2 years ago

3 0

The value of x will be2.217 and PR will be 13.085 units.

<h3>What is a line segment?</h3>

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given that,

Line PQ consists of two segments PR and RQ

So,

PQ = PR + RQ

17 = 5x+2 + x² - 1

x² + 5x - 16 = 0

The roots of the equation will be

x = [-5 + √(25 + 64) ] ÷ 2

x = 2.217

Now,

PR = 5(2.217) + 2 = 13.085

Hence "The value of x will be2.217 and PR will be 13.085 units".

For more about line segment,

brainly.com/question/25727583

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Levi is playing a video game. The amount of points Levi earned in the first four rounds of the game is shown.

svlad2 [7]

Answer:

-13

Step-by-step explanation:

6+4=10

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3 years ago

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Solve a triangle when A=15° B=113° and b=7?

JulsSmile [24]

Let us draw a triangle ABC with A=15° ,B=113° and b=7.

Please see the attached image.

We know that the sum of interior angles of a triangle is 180 degrees. Thus, we have

$A+B+C=180\\
\\
15+113+C= 180\\
\\
C=62^{\circ}$

Apply Sine rule in the triangle ABC, we get

$\frac{a}{\sin 15}= \frac{7}{\sin 113}\\
\\
a=\frac{7 \sin 15}{\sin 113}\\
\\
a=1.97\\
\\
\text{Again apply sine rule, we get}\\
\\
\frac{c}{\sin 62}= \frac{7}{\sin 113}\\
\\
c=\frac{7 \sin 62}{\sin 113}\\
\\
c=6.71$

Therefore, we have

$a=1.97\\
c=6.71\\
C=62^{\circ}$

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3 years ago

Use the following basketball team's scores for one season to answer the following question 44,43,42,40,42,45,39,38,18 What's the

Nimfa-mama [501]

Answer:

The mean is 39

The median is 42

Step-by-step explanation:

The median is the best measure of center for the above data because half of the values are less than the median and half of the values are more than the median. It's probably the best measure of center to use in a skewed distribution.

The measure of variability is the range because is the simplest measure of variability to calculate but can be misleading if the dataset contains extreme values.

The variability is 67.25

This is how I did it