- Suppose Q is the midpoint of PR. Use the information to find the missing value. PQ = 3x + 14 and QR = 7x - 10; Find x.​

Answers

Answer 1

Answer:

x =6

Step-by-step explanation:  Q is the midpoint of PR.

Therefore PQ = QR

3 x + 14 = 7 x -10

       -14          -14

3 x         = 7 x-24

-7x                 -7x

-4x     =      -24                             Divide both sides by -4

x = 6

Answer 2

The value of x for PQ = 3x + 14 and QR = 7x - 10 is 6 units.

What is midpoint of line segment?

The midpoint divides the line segment into two equal parts.

It is given that Q is the midpoint of PR which implies Q will divide PQ into two equal parts that is PQ (3x+14) equals QR (7x-10). now calculating x value  :

[tex]\begin{aligned}PQ&=QR\\3x+14&=7x-10\\7x-3x&=14+10\\4x&=24\\x&=6\end{aligned}[/tex]

Therefore, the value of x for PQ = 3x + 14 and QR = 7x - 10 is 6 units.

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Related Questions

Is an equivalent ratio proportional?

Answers

Answer:

Yes

Step-by-step explanation:

If two ratios are equivalent they form a proportion. If ratios are not equivalent they do not form a proportion.

Hope This Helps :)

Answer:

2 equivalent ratios set equal to each other are a proportion

Step-by-step explanation:

A proportion is a statement of equality of two ratios. When you set two ratios equal to each other, you have a proportion. Two equivalent ratios are equal, so when you set two equivalent ratios equal to each other, you have a proportion.

Answer: 2 equivalent ratios set equal to each other are a proportion

Which of the following statements is the most precise and correct to define
an angle?
A. The space between two intersecting lines.
B. The exact degree of a rotation of a geometric figure in a coordinate plane.
C. A figure formed by two rays, called the sides of the angle that share a
common endpoint, called the vertex of the angle.

Answers

Answer:c

Step-by-step explanation:

Statement C is the most precise and correct to define an angle.

What is an Angle?

An angle is made when two rays, called as the arms of the angle meet at a common point, the common point is called the vertex of the angle.

The exact definition is what can explain in brief, the exact detail of the topic defined.

The definition that the space between two intersecting lines is simple to understand but is not completely explaining the technicality.

The angle is explained to the point in the Option C.

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olivia can run 100 yards in 15 seconds. what is her speed in miles per hour? round to the nearest whole nimber

Answers

14 mph

Step-by-step explanation:

13.636364

is what you get by doing

100/15 then you get 6.6666......7

after that you multiply that by 3600 because thats how many seconds in that hour.

Then you get 24000 and transfer it to miles and get 13.636364 and you round it and get 14mph

PLEASE MARK MY ANSWER BRAINLIEST

Add on to the question

Practice writing equations from sentences. Assignment Which sentences describe the relationship between an expression and an equation? Select all that apply.
An equation contains variables; an expression never does.
An equation contains an equal sign; an expression does not.
Both expressions and equations contain numbers and/or variables.
An expression has addition and subtraction; an equation never does.
An expression involves multiplication, but equations only use addition.​

Answers

Answer:

An equation contains an equal sign; an expression does not.

Both expressions and equations contain numbers and/or variables

Step-by-step explanation:

Answer:

B,C

Step-by-step explanation:

The sum of 2 consecutive odd integers is 204. What are the two odd integers?

Answers

101 and 104 i think is the most easy answer

Answer:

101, 103

Step-by-step explanation:

Say n is the first odd integer. The sum of n and its consecutive integer can be written as n + (n + 2). Doing some simple algebra:

n + (n+2) =204

2n + 2 = 204

2n = 202

n = 101

n is 101, and its consecutive integer, (n+2), is 103.

A new neighborhood activity complex is being built in oak valley. The perimeter of the rectangular playing field is 332 yards. The length of the field is 2 yards less than double the width. What are the dimensions of the playing​ field?

Answers

Answer:

200k

Step-by-step explanation:

i get 200 uh a cationnn

I WILL MARK BRAINLIES If √ x has a decimal approximation of 3.4, then x is between which two integers? In your final answer, include all calculations.

Answers

If sqrt x is around 3.4
x=(3.4)(3.4)=11.56
So x is in between 11 and 12 or
11
Hope this can help.

Isosceles triangle ABC has a perimeter of 96 centimeters. The base of the triangle is Line segment A C and measures 24 centimeters. What is the measure of Line segment A B? 12 cm 36 cm 48 cm 72 cm

Answers

Answer: 36cm

Step-by-step explanation:

An isosceles triangle has 2 sides equal and one different from the other 2. Let's take the segment A C which measures 24cm as the base of our triangle, that means we'll have two equal unknown segments A B and B C. The perimeter of a shape is in simpler terms the distance right round it, therefore, if we add the length of all the three sides of the triangle we should get 96cm.

A C + A B + B C = 96cm

A B = B C

A C = 24cm

96cm - 24cm = 72cm

A B + B C = 72cm

72cm ÷ 2 = 36cm

The length of AB is 36 cm.

An Isosceles triangle ABC has two equal sides.

Let us consider  that equal sides AB and CB are x.

Given that,  AC = 24cm

Perimeter = AB + CB + AC

          [tex]x+x+24=96\\\\2x=96-24=72\\\\x=72/2=36cm[/tex]

Therefore, the length of AB is 36 cm.

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1/4 + 1/2 + x = - 3/4
solve for x​

Answers

Answer:

X=-3/2

Step-by-step explanation:

1/4+1/2+X=-3/4

X=-3/4-1/4-1/2

X=-3/2

what is -4x+3=-16j-5​

Answers

Answer:

1/4x + -1/2

Step-by-step explanation:

Step 1 :

-4x - 3 = -16j -5

Step 2:

-16j − 5=−4x+3

Step 3:

−16j−5+5=−4x+3+5

−16j=−4x+8

Step 3:

-16j/-16 = -4x + 8/-16

Answer:

j = 1/4x + -1/2

Help me please i really need it

Answers

what’s the question?

Answer:

so whats the question

Step-by-step explanation:

WILL GIVE BRAINLET

5/6 + 7 1/3

Answers

Answer:

It would be 8 1/6 im 90% sure

Step-by-step explanation:

The least common denominator is 6
7+ 5/6+ 1x2/3x2
7+5/6+2/6
7+5+2/6
7+7/6
7+1 1/6
your answer is
8 1/6

what is the quotient of
[tex]2 \frac{2}{7} \div \frac{4}{7} [/tex]

Answers

[tex]2 \frac{2}{7}[/tex] ÷ [tex]\frac{4}{7}[/tex]

First, let's turn the first fraction into an improper fraction.

[tex]\frac{16}{7}[/tex] ÷ [tex]\frac{4}{7}[/tex]

Since both of these fractions share the same denominator, we can drop the denominator and simply divide the numerators.

16 ÷ 4 = 4

The quotient = 4

Consider
the linear function f(x) = mx + b, where m = 0, on the interval [3, 7). Explain
why the maximum value of the function over this interval must occur at one
of the endpoints of the interval.

Answers

Answer:

Assuming that m does not = 0, then the function has a non horizontal slope, so the value will increase as the position moves away from zero in either the negative or positive direction depending on whether the slope (m) is negative or positive. The furthest that the position can be from 0 is at one of the endpoints of the interval [3, 7), therefore, the maximum value of the function on the same interval must be at one of the endpoints.

rewrite 2.31 (1 repeating) as a simplified fraction.

Answers

[tex]\frac{20.8}{9}[/tex]

Set [tex]x[/tex] to 2.31 with 1 repeating.

[tex]x=2.31...[/tex]

Now multiply the value by 10 so we can have canceling values.

[tex]10x=23.1...[/tex]

Then we can use elimination.

[tex]10x=23.1...[/tex]

[tex]x=2.31...[/tex]

[tex]9x=20.8[/tex]

[tex]x=\frac{20.8}{9}[/tex]

Hope this helps.

頑張って!

Answer:

Set  to 2.31 with 1 repeating.  

Now multiply the value by 10 so we can have canceling values.

Then we can use elimination.

Hope this helps.

Step-by-step explanation:

Need help with question​

Answers

Answer:

option a

Step-by-step explanation:

in figure 1: 2n-1 so 2×1=2-1=1 so in figure 1 there is 1 block

in figure 2: 2-n-1= (2×2)-1=4-1=3 so there are 3 blocks this pattern continues

Subtract.
-3 - (-1) = 1

Answers

Answer:

the answer is -2

Step-by-step explanation:

3-(-1)

= -3--1

= -3+1

= -2

What is cube root ?

Answers

Answer:

the number which produces a given number when cubed

In mathematics, a cube root of a number x is a number y such that y³ = x. All nonzero real numbers, have exactly one real cube root and a pair of complex conjugate cube roots, and all nonzero complex numbers have three distinct complex cube roots.

26 ft 10 ft , what is the height of the flagpole ?​

Answers

The height of the flagpole is: 12 ft.

What is pythagorous theorem?

A theorem attributed to Pythagoras that the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

Let the height of the flagpole be: x ft.

Now, we can model this problem with the help of a right angled triangle such that the hypotenuse of the triangle is: 20 feet

and one of the leg of the right triangle is: 16 feet

Now, in order to find the other leg i.e. x we need to use the Pythagorean Theorem.

[tex]20^2=x^2+16^2\\\\\\400=x^2+256\\\\\\x^2=400-256\\\\\\x^2=144\\\\\\x=\pm12[/tex]

i.e.

But the height can't be negative.

Hence, we get: x=12

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Answer:

18

Step-by-step explanation:

The endpoints of a diameter of a circle are A(1,2) and (7.10). Find the area of the circle in terms of pi

Answers

Answer:

25pi

Step-by-step explanation:

To solve this, create a right triangle between the two points. We know the distance of one leg is 6, and the distance of the other leg is 8. Use the Pythagorean theorem to solve for the diameter. You substitute 6 and 8 into the values of A and B. Once you get this, you get (6^2)+(8^2)=c^2. Once you further simplify this, you get 36 + 64 = c^2, which is 100 = c^2. Take the square roots of both sides to get the diameter as 10. Divide the diameter by 2 to get the radius. Square the radius and multiply it by pi to get the area. Doing this will get the result of 25 pi.


Josie says that (-15) XX(-15) = -156. Is she correct? How do you know?
6 times

Can someone help me with this?

Answers

-21 i think is should be

Given the line segment with C as the midpoint, find the length of the unknown segment.

Answers

4. CB = 12 in

5. AB = 18 in

Answer: 4 is 12 and 5 is 18

Step-by-step explanation: The midpoint of a line is the exact middle of the line. In other words, it splits the line into two equal parts.

From a formulaic standpoint, this looks like

AC = CB

And if we plug in the values it looks like this

AC = 12, so 12 = CB.

For the next problem,

AC + CB = AB

AC = 9, and since AC = CB, CB = 9 also.

So, once again just put the numbers in for the letters and you get

9 + 9 = 18

7. Ella and her family normally pay $165 per
month for electricity. The utility company is
adding a 5% tax to help fund research for
eco-friendly energy sources. How much tax
will Ella's family pay for an entire year?

Answers

Answer:

$99

Step-by-step explanation:

Cost of electricity per year= $165

Tax per month= 5%

Amount of tax paid per month= 5% of $165

= 0.05 × 165

= $8.25

Ella's family pays $8.25 tax per month

There are 12 months in 1 year

Ella's family will pay Ina year = $8.25 × 12

= $99

Ella's family will pay $99 tax for an entire year

The equation 3.5x + 1.5y = 21 represents the cost for a family to
attend a play where x is the number of adults and y is the number of
children. Find the intercepts and interpret the meaning of each one.
PLEASE HELP ASAP

Answers

Answer:

Hey there!

The x-intercept is (6,0) meaning that if no children attend, 6 adults will attend.

The y-intercept is (0,14) meaning that if no adults attend, 14 children will attend.

Let me know if this helps :)

The x-intercept is (6,0) and y-intercept is (0,14).

What is x-intercept?

x-intercept for "any curve is the value of x-coordinate at the point where the graph cuts the x-axis".

What is y-intercept?

y-intercept  for "any any curve is the value of y-coordinate at the point where the graph cuts the y-axis".

According to the question,

3.5x + 1.5y =21

Let 'x' is the number of adults and 'y' is the number of children.

To find  x-intercept put y=0.

3.5x + 1.5(0) = 21

             3.5x = 21

                  x = 21/3.5 =6.

To find y-intercept put x=0

3.5(0) + 1.5(y) = 21  

                  y = 21/1.5 = 14.

x-intercept (6,0) if no children attend the play then 6 adult attend the play. y - intercept (0,14) if no adult attend the play then 14 children attend the play.

Hence, The x-intercept is (6,0) and y-intercept is (0,14).

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f(2) =
f(3)=
f( -1) +g( 4)=
g(3)=
g(2)=
g(-4) + f(-2) =

Answers

Answer:

2f

3f

−f+4g

3g

2g

−2f−4g

Step-by-step explanation:

Hope this helps!

can someone help me with this 2? ​

Answers

22. A) W= 4.5
plug it in- 23 = 2(7) + 2(4.5)

23. C) P = 1250 + (0.06)(1250)
with tax you multiple the percent by the total then add to the total

5e = e + 10 Please help with this

Answers

Five e minus one e equal to ten

Four e equal to ten

e equal to ten over four

e equal to 2.5

A-Irrational Number
B-Whole number
C-Not an integer
Please help quickly i am in a rush

Answers

Answer:

B whole number

Step-by-step explanation:

You can't have part of a student, you have whole students.

Answer:

B

Step-by-step explanation:

it's a whole number

simplify 9 - 8b + 6b

Answers

Answer:

9-2b should be your answer.

Simplifying
9 + -8b + 6b = 0

Combine like terms: -8b + 6b = -2b
9 + -2b = 0

Solving
9 + -2b = 0

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + -2b = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2b = 0 + -9
-2b = 0 + -9

Combine like terms: 0 + -9 = -9
-2b = -9

Divide each side by '-2'.
b = 4.5

Simplifying
b = 4.5

in the set of numbers from 1 to 12 which elements are in both the subset of even numbers and the subsets of the multiples of 4?

Answers

The answers are 4,8, and 12.

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