Check all the equations that apply to meet the Segment Addition Postulate in segment OQ. OP = 6x + 5, PQ = 4x and OQ = 45.

Answers

Answer 1

Answer:

[tex]6x + 5 + 4x = 45[/tex]

[tex]10x = 40[/tex]

Step-by-step explanation:

Given

[tex]OP = 6x + 5[/tex]

[tex]PQ = 4x[/tex]

[tex]OQ = 45[/tex]

The given parameters show that P is a point between O and Q.

So:

[tex]OQ = OP + PQ[/tex]

Substitute values for OP, PQ and OQ

[tex]45 = 6x + 5 + 4x[/tex]

[tex]6x + 5 + 4x = 45[/tex] --- This is an equation

Collect Like Terms

[tex]6x + 4x = 45 - 5[/tex]

[tex]10x = 40[/tex] ------ This is another

Make x the subject

[tex]x = \frac{40}{10}[/tex]

[tex]x = 4[/tex]


Related Questions


You earned a 90% on a science test. You answered 18 questions
correctly. How many questions were on the test?

Answers

Answer:

20 questions

Step-by-step explanation:

10 divided by 20 is 0.9 which would be 90%

elm st. and spruce st. are parallel what is m<1

Answers

Answer:

The measure is 68

Step-by-step explanation:

180-112 = 68

side alternate exterior (supplementary)

The measure of angle 1 will be equal to 68.

What are supplementary angles?

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet. The supplementary angle is defined as the angle having the sum of 180 degrees.

Given that there are two parallel lines intersecting one line at an angle of 112. The angle 1 will be calculated as:-

The angle will be calculated as follows:-

∠1 + 112 = 180

∠1 = 180 - 112 = 68

Therefore, the measure of angle 1 will be equal to 68.

To know more about supplementary angles follow

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Suppose your family spent​ $2438.67 on home energy last year. Estimate the amount spent on heating and​ cooling, rounded to the nearest hundred.

Answers

Answer:

The answer is "1200".

Step-by-step explanation:

The percentage value for [tex]\frac{heating}{cooling}= (48 \% )[/tex]

So,

[tex]\to 2438.67 \times \frac{48}{100} \\\\\\\to 117,056.16 \times \frac{1}{100}\\\\\to 1170.5616\\\\[/tex]

rounding the value into the nearest hundred =1200

Write 1270 in expanded form using exponents

Answers

Step-by-step explanation:

Answer:

[tex]1.270[/tex] × [tex]10^{3}[/tex]  

I hope this helps!

Which of the following is equal to 51/3?

Answers

51/3 is equal to 17 hope it helps

Answer:

17 hope this helps

Step-by-step explanation:

A 18,000 gallon swimming pool contains 7000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1100 gallons per hour

Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full.

Volume of Water in Pool

Answers

Answer:

if you put a point at 5,000 and then another at (20,000, 12)

Step-by-step explanation:

i did the other answer and it was wrong

The graph representing the volume of water in the pool over time is illustrated in the graph.

How to illustrate the graph?

The problem can be presented by a simple linear equation:

y =mx + b

where

x is the time (hour)

y is the amount of water in x hours

m is the rate of water being added

b is the initial amount of water

y = 1100x + 7000

Learn more about graphs on:

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Simplify the expression below: (3−13)2+1442−5·2

Answers

Answer:

1412

Step-by-step explanation:

2*(3 - 13) + 1442 - (5 * 2)

Distribute the 2 to the 3 and -13, and multiply 5 and 2 together.

6 - 26 + 1442 - 10

Now simplify the expression by adding and subtracting the terms.

1412 is the answer.

#teamtrees #WAP (Water And Plant)

AYOOOOOOOOOO HELP PLESE WILL GIBE BRAINLIST

Answers

Answer:

15 rooms

Step-by-step explanation:

1:$32 = x:$500

$32×x = 1×$500

x = $500/$32

x = 15, 625

Answer:

Might as well collect the points. I'm the guy from the comments.

Step-by-step explanation:

Chaise's mom buys canned tuna for lunches. The cans are in the shape of a cylinder with the dimensions shown below.




What is the volume of the can of tuna, rounded to the nearest tenth?

Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

Answers

Answer:

13.81 in

Step-by-step explanation:

the radius is equal to 1.875  and the height is equal to 1.25   .  Put these dimensions into the cylinder volume formula and you get 13.81 inches .  (plus i got this question right on one of my tests )

What are the coordinates of the image of triangle ABC after dilation with the center (0,0) and the scale factor of 3?

Answers

Answer:

1.5

Step-by-step explanation:

Find the area of the rectangle.
(8x+5) yards
(8x-5) yards

Answers

Step-by-step explanation: To find the area, we can use the F.O.I.L. method.

Notice that these two binomials are identical except

that one has a plus and one has a minus.

These types of binomials are called conjugates.

If you're asked to F.O.I.L. two conjugates, you can  

ignore the outer and inner products,

knowing they will cancel each other out.

So the answer to this problem comes from the product

of the first terms and the product of the last terms.

So our answer is 64x² - 25.

Help Me!! Please. Its important

Answers

Answer:

answer to 3 is

Step-by-step explanation:

1 hour = 0.7

2 hours = 1.4

3 hours = 2.1

4 hours = 2.8

5 hours = 3.5

6 hours = 4.2

7 hours = 4.9

8 hours= 5.6

9 hours= 6.3

10 hours= 7.0

11 hours = 7.7

12 hours =8.4

for the first select option:
-MJ or ML or MK or KL

for the second select option:
-congruent or not congruent

for the third select option:
-include or do not include

for the fourth select option:
-congruent or not congruent

giving brainliest !

Answers

Answer:

1.) ML

2.) congruent

3.) include

4.) congruent

Joe went shopping for holiday gifts for her family. She has a budget of $150. She has 15 people to purchase a gift for, but also would like to spend $30 on her self. Write and solve an inequality to determine the maximum amount she can spend on her family.

Answers

$150 (budget) - $30 (spend on herself) = $120 (left)

120 / 15 = $8

(150 - 30) divided by 15 = $8

Only $8 maximum can be spent on each family member

Solve: |x - 4| = 0
Help if can

Answers

Answer:

answer is x=4 I'm pretty sure

Step-by-step explanation:

I used a calculator

Answer:

x=4

Step-by-step explanation:

If you plug 4 in, 4-4=0 and the absolute value will not change anything.


Arizona iced tea is manufactured in a warehouse by machines that bottles
the iced tea bottles and puts the caps and labels on them. There is a
special machine that bottles iced tea so that every 8th bottle gets a green
label and every 6th bottle gets a pink cap.
What number bottle will be the first bottle to get a green label and a
pink cap?
On the 100th year Anniversary every 10th bottle got a special edition bottle
that has a gold band.
What number bottle will be the first to get a green label, a pink cap
and a special edit

Answers

Answer:

to get a green and pink it would be 24

i cant find find the special edit sorry

Step-by-step explanation:

Combine like terms, showing one step per line. Justify each step using a rule of algebra or "Combining Like Terms." You may need to add extra rows. Expression Justification 7x + 3 + 9x + 15 Given 7x

Answers

Answer:

By combining like terms, we have 16x + 18

Step-by-step explanation:

Here, we want to combine like terms

we simply bring terms that are similar together in this case

Thus, we have

7x + 9x + 3 + 15

16x + 18

Help pls if u can pls

Answers

Answer and Step-by-step explanation:

8. HL theorem - Has a right angle and the legs.

9. ASA - Angle A is congruent to angle B because of interior angles theorem, side AM is congruent to side MB because of midpoint theorem, angle AMC is congruent to angle BMD because of vertical angles theorem.

10. SSS - The two sides are congruent, and the hypotenuse is shared, making it congruent.

11. SAS - The two sides are congruent, and the angle between the congruent sides are congruent.

#teamtrees #WAP (Water And Plant)

8. RHS congruence rule

9. SAS congruence rule

10. SSS congruence rule

11. SAS congruence rule

Please help solve this question

Answers

Answer:

x = 0.59 to the nearest hundredth

Step-by-step explanation:

Look at the attached figure

The equation is 2x + [tex]e^{x}[/tex] = 3The red curve represents the left side of the equationThe blue line represents the right side of the equationThe solution of the equation is the point of intersection of the two graphs

∵ There are 5 small squares between every 2 numbers on the x-axis

∴ Each square represents 0.2

∵ There are 5 small squares between every 2 numbers on the y-axis

∴ Each square represents 0.2

∵ The point of intersection between the 2 graphs is nearest to

   the 3rd small square after the zero on the x-axis

∵ 0.2 × 3 = 0.6

∴ The x-coordinate of the point is approximately located at 0.59

x = 0.59 to the nearest hundredth

10. Which of the following represents a linear function? *
I The area of a square in relation to its side
II The area of a circle in relation to its radius
III The perimeter of a square in relation to its side
IV The circumference of a circle in relation to its diameter
(a) I only
(b) II & III
(c) III & IV
(d) IV only

Answers

It is going to be C....

Which of the
following represents
this graph?
A. y = (x+11
B. y = |x-1|
c. y = xl-1
D. y = |x|+1

Answers

Answer:

A. y=|x+1|

Step-by-step explanation:

what I like to use when figuring these out(mainly for homework) is a website called Desmos. You basically just plug in whatever equation/expression in and it will graph it for you. My Algebra teacher even allows me to. So all I did was plug in each equation until it matched the graph presented. Hope this helps!

The equation represented by the graph is y=|x+1|

How to determine the equation?

The equation is an absolute value graph

The parent function of an absolute value graph is:

y = |x|

The above function is shifted to the left by 1 unit.

This transformation is represented by y=|x+1|

Hence, the equation represented by the graph is y=|x+1|

Read more about function transformation at:

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Find the Solution of the equation -2x + 7 = 7

Answers

Answer:

x = 0

Step-by-step explanation:

-2 x 0 + 7 = 7

-2 x 0 = 0

0 + 7 = 7

A hotel has 22 clean towels and 78 dirty towels. What is the ratio of the number of clean towels to the total number of towels?

Answers

Answer:

22:78

Step-by-step explanation:

lol

The owner of a grocery store wants to mix two kinds of candy together to make 15 lb that he can sell for $5.00 per lb. He wants to use chocolate candies that he sells for $7.00 per lb and sugar candies that he sells for $2.00 per lb. How many pounds of each should the owner use?
_ pounds of chocolate candies
_ pounds of sugar candies
=OWO=

Answers

Answer: 9 pounds of chocolate and 6 pounds of sugar candies

Let's define the variables:

C = pounds of chocolate candies used.

S = pounds of sugar candies used.

We know that he wants to make a total of 15lb, then:

C + S = 15

We also want that the price per pound to be equal to 5$.

This means that the price of the 15 pounds will be the same as the price of the un-mixed candies.

C*$7.00 + $2.00*S = $5.00*15

Then we have a system of equations:

C + S = 15

C*$7.00 + $2.00*S = $5.00*15

To solve this system, we need to start by isolating one of the variables, i will isolate C in the first equation:

C = 15 - S

now we can replace that in the other equation:

(15 - S)*$7.00 + $2.00*S = $5.00*15

Now we can solve this for S.

$105 - $5.00*S = $75

$105 - $75 = $5.00*S

$30 = $5.00*S

$30/$5 = S = 6

Then there are 6 pounds of sugar candy, and we can use the equation:

C + S = 15

C + 6 = 15

C = 15 - 6 = 9

There are 9 pounds of chocolate candy in the mix.

Step-by-step explanation:

By writing and solving a system of equations, we will see that the owner must use 6 lb of the chocolate candies and 9 lb of the sugar candies.

Let's define two variables:

x = pounds of chocolate candies usedy = pounds of sugar candies used.

Then, using the given information, we will have that:

x + y = 15

x*$7.00 + y*$2.00 = $5.00*15

If we isolate x in the first equation we get:

x = 15 - y

Now we can replace that in the second equation to get:

(15 - y)*$7.00 + y*$2.00 = $75

$105 - y*$5.00 = $75

$105 - $75  = y*$5.00

$30 = y*$5.00

$30/$5 = y = 6

So the owner must use 6 pounds of the chocolate candies, and the other 9 pounds of the sugar candies.

If you want to learn more, you can read:

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If Sally makes $7.25 / hour and works 40 hours plus 8 hours overtime what will she get paid?

Answers

Answer:

$348

Step-by-step explanation:

40 + 8 = 48 x 7.25 = 348

algebra help quick lol

Answers

Answer:

Its the top right one

Step-by-step explanation:

Which direction am I going if I drive from Washington DC to Dallas texas

Answers

Answer:

north

Step-by-step explanation:

What is the measure of angle G? Type only the number:

Answers

Answer: 48

Step-by-step explanation:

total of all the degrees of the angles of the triangle is ALWAYS 180

let the measure of angle G be x

180 = 102+30+x

180 = 132+x

x = 48

NEED DONE ASAP PLEASE!!! 25points

Answers

Answer:

b i belive i may be incorrect

Step-by-step explanation:

Answer:

it is the second one :)

Step-by-step explanation:

:)

What is 26/15 as a whole number?

Answers

Answer:

1 11/15

Step-by-step explanation:

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