Set up a equation and solve for X.

Next to each step write the postulate or property used for that step

Set Up A Equation And Solve For X. Next To Each Step Write The Postulate Or Property Used For That Step

Answers

Answer 1

Answer:

[tex] x = 4 [/tex]

Step-by-step explanation:

[tex] GH = 3x [/tex] (given)

[tex] HJ = x + 16 [/tex] (given)

[tex] GJ = 32 [/tex] (given)

[tex] GH + HJ = GJ [/tex] (segment addition postulate)

[tex] (3x) + (x + 16) = 32 [/tex] (substitution)

Solve for x

[tex] 3x + x + 16 = 32 [/tex]

[tex] 4x + 16 = 32 [/tex]

[tex] 4x + 16 - 16 = 32 - 16 [/tex] (subtraction property of equality)

[tex] 4x = 16 [/tex]

[tex] \frac{4x}{4} = \frac{16}{4} [/tex] (division property of equality)

[tex] x = 4 [/tex]


Related Questions

There was a green house. Inside the green house there was a white house. Inside the white house there was a red house. Inside the red house there were lots of babies. What is it?

Answers

Answer:

A watermelon my woman

Step-by-step explanation:

PLEASE ANSWER REALLY QUICK PLEASE?!?!?!?!

Answers

Answer:

12x -11

Step-by-step explanation:

Lets start by applying the 2/3 to the two values in the parenthesis. Doing so will yield: 4x -7 +8x -4. We can simplify this to be 12x -11

12x -11 is correct answer

PLEASE help
PLEASE ​

Answers

Answer:

7) $57.2 (Multiply 65 by 0.12. You get $7.8. Finally, subtract 7.8 from 65.)

8) $20 (Multiply 29.99 by 0.3333. Subtract 9.99 from 29)

9) $35.7 (Do the same steps as above)

10) $276.675 (Do the same steps as above)

11) The decimal form of 57% is 0.57

12) cost= c×0.57

13) $70.65

14) $25.65 was added

Given a linear equation in the form y=mx+b, what are the values of the slope and y-intercept of the equation?(1 point) The slope is m, and the y-intercept is y. The slope is x, and the y-intercept is b. The slope is b, and the y-intercept is m. The slope is m, and the y-intercept is b.

Answers

Answer:

The slope is m, and the y-intercept is b.

Step-by-step explanation:

What ever is attached to the x is the slope. The y-intercept is the b because it has a 0 on the x axis and a number on the y axis.

How do u know wether two quantities x and y are proportional

Answers

Answer:

How do u know wether two quantities x and y are proportional?

Step-by-step explanation:

Every sum x + y is the same for related pairs of x and y.

I hope that helped, let me know if you need help with anything else.

Solve the inequality: -2x + 5 ≥ 3x + 20
A) x ≤ 15
B) x ≤ 3
C) x ≥ 3
D) x ≤ -3

Answers

Answer:

D) [tex]x \leqslant - 3[/tex]

Explanation provided above.

The solution to the inequality -2x + 5 ≥ 3x + 20 is x ≤ -3.

Option D is the correct answer.

We have,

To solve the inequality -2x + 5 ≥ 3x + 20, we can follow these steps:

Subtract 3x from both sides to isolate the variable on one side:

-2x - 3x + 5 ≥ 3x - 3x + 20,

-5x + 5 ≥ 20.

Subtract 5 from both sides:

-5x + 5 - 5 ≥ 20 - 5,

-5x ≥ 15.

Divide both sides by -5.

Remember that when dividing by a negative number, the inequality direction flips:

(-5x) / (-5) ≤ 15 / (-5),

x ≤ -3.

Therefore,

The solution to the inequality -2x + 5 ≥ 3x + 20 is x ≤ -3.

Learn more about inequalities here:

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Rewrite 11/40 as a decimal number

Answers

Answer:0.275

Step-by-step explanation:

2 1/4 hrs are how many seconds

Answers

Answer:

8100 seconds

Step-by-step explanation:

2 1/4 = 2.25

2.25 x 3600 = 8100

What restriction should be applied to y = tanx for y = arctanx to be defined?
Look at the picture below for the choices.

Answers

Answer:

its c on edge

Step-by-step explanation:

restrict the domain to (-pi/2,pi/2)

The restriction that should be applied to the function [tex]y = tanx[/tex] for [tex]tan^{-1} (x)[/tex] to be defined is option (C) restrict the domain to [tex](-\frac{\pi }{2} ,\frac{\pi }{2} )[/tex] is the correct answer.

What is graph of a function?

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The graph of a function f is the set of all points in the plane of the form (x, f(x)).

For the given situation,

The graph below shows the functions tan(x) and arctan(x) that is tan^-1(x)

In order to have an inverse function for trigonometry, we restrict the domain of each function, so that it is one to one.

A restricted domain gives an inverse function because the graph is one to one and able to pass the horizontal line test.

Thus by restricting the domain [tex](-\frac{\pi }{2} ,\frac{\pi }{2} )[/tex] we can obtain the function [tex]tan(x)[/tex] as [tex]tan^{-1} (x)[/tex].

Hence we can conclude that the restriction that should be applied to the function [tex]y = tanx[/tex] for [tex]tan^{-1} (x)[/tex] to be defined is option (C) restrict the domain to [tex](-\frac{\pi }{2} ,\frac{\pi }{2} )[/tex] is the correct answer.

Learn more about graph of a function here

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Write equation given linear situation

After a baby was born, he began to gain weight at a rate of 1.5 pounds per month. The
weight of the baby at birth was 10 pounds. Write an equation for W, in terms of t,
representing weight, in pounds, of the newborn baby t months after birth.

Answers

Answer:

W=1.5x+10

Step-by-step explanation:

1.5x is the rate of weight per month

10 is the constant (how much he/she weighed at birth)

W = 1.5(T) + 10 I hope this helps

Why is 18:3 and 6:1 equivalent ratios

Answers

Answer:

Because if you multiply 6 three times, it comes out to be 18.

So basically, 6 x 3 = 18

To be sure, 18 ÷ 6 = 3

So, 18:3 = 6:1

18:3 and 6:1 are equivalent ratios because those are equivalent fractions.

What is the ratio?

Suppose that we've got two quantities with measurements as 'a' and 'b'

Then, their ratio(ratio of a to b) a:b

or   [tex]\dfrac{a}{b}[/tex]

We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).

Suppose that we've got a = 6, and b= 4, then:

[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]

Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.

Explanation;

If we get the factors of the first ratio, we will see that;

18: 6 and 3, and 18 and 1

3: 3 and 1

Hence, if we display the ratios in fractions;

18/3 = 6/1

And then we write them in factors, we will get;

3x6/3x1 = 6/1

Simplifying;

3/3 x 6/1 = 2/1 x 3/1 = 1/6

Therefore, 18:3 and 6:1 are equivalent ratios.

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HELP ASAP I don’t get it

Answers

Answer:

-11/5

Step-by-step explanation:

In order to solve it u should open the mixed fraction ,i.e,

11/7÷-15/21

=11/7×-21/15

Cutting,

ans=-11/5

Mark me the brainliest

Answer:

Fraction: -11/5

Decimal form: -2.2

Mixed number form: -2 1/5

Step-by-step explanation:


Amy opened a savings account with $1.350 she received for graduation. The account pays 4.3% simple interest. What is the balance after 6 months?

Answers

This is the correct answer

Help me please I will give Brainlyest

Answers

Answers Below

1) = 1/5

2) = 1/4

3) = 3/20

4) = 2/25

5) = 1/3

Please Brainly

Answer:

i)1/5

ii)1/2

iii)3/20

iv)1/3

Step-by-step explanation:

Just keep eliminating in all sums as we are multiplying and u will get the ans.

Pls mark me brainliest

Hye Lim drank 4/3 gallons of water in 11/2 hours. At this rate, how long will it take her to drink 4 gallons of water?

Answers

Answer:

16.5 hours

Step-by-step explanation:

Here is the explanation. As Hye drinks 4/3 gallons of water in 11/2 hours, we have a constant rate. There are 12 thirds in 4, so we are trying to find how long it takes Hye to drink 12/3 gallon. In this case, 4/3x3=12/3, so we multiply 11/2 by 3 as well, which gives us 33/2 hours. 33/2 in decimal form is 16.5 hours. Hope it helps!

Answer:

33/2 hours option 2

Step-by-step explanation:

Got it correct on edge :) hope it helps

Which set of numbers is the most reasonable to describe the number of desks in a classroom?
A. irrational numbers
B. whole numbers
C. integers
D. rational numbers​

Answers

Answer:

B you could get the exact number if desk

Answer:

Whole numbers is the most reasonable to describe the number of desks.

X+y=6 in slope intercept form

Answers

The Answer is
Y = -x + 6

Harold had a summer lemonade
stand where he sold small cups for
$1.25 each and large cups for $2.50
each. He made $265. If Harold sold
88 small cups, find the number of
large cups he sold.
The basketball team scored a total

Answers

Answer:

62 large cups were sold

Step-by-step explanation:

88*1.25=110

265-110=155

155/2.50=62

4. Stella is running in the 90 meter dash at her school track meet. If her speed is
6 meters/second, how long will it take her to run 90 meters?

Answers

It would take her about 15 seconds

the average number of potholes per 10 miles of paved us roads is 130

Answers

okay, what’s the question?

You purchase 20 lottery tickets, for which the probability of winning some prize on a
single ticket is 1 in 20. What is the probability that you will have at lease one winning
ticket among the 20 tickets?

Answers

It is 20 hgjcybfjcgnjjjhhh

Angle A 5x - 5 angle b = 3x + 13 what is angle b

Answers

Answer:

Step-by-step explanation:

do you mean what is c?

I don’t understand this .

Answers

Answer:it’s b because can fold into the shape

Step-by-step explanation:

after sharing a pizza you and two friends divide the cost by three. You each owe $2.66. Explain how to round this to the nearest dime?

Answers

Answer:

Hi so you have the answer          

Say you have 1.23 if the last digit is under 5 it would be 1.20                

Now say you have 3.47 if the last digit is above 5 it would be 3.50    

If it is something like 4.45  the 5 is the last digit so it would be 4.50

Step-by-step explanation:

um hope this helped :)

IF x=-4 and y=6 then xy-3x=

Answers

Answer:

-12

Step-by-step explanation:

The answer is -12 because -4x6=-24, and then you add 12 to the result. -24+12=-12, so there's your answer.

evaluate the expression when x=3:5x+12​

Answers

Substitute in 3 for X

5*3=15

15+12=27

27 is the answer

Answer:

27

Step-by-step explanation:

5(3)=15 +12 = 27

What is the value of h in the diagram below? If necessary, round your answer
to the nearest tenth of a unit.

Answers

Answer:

what's the diagram??

Step-by-step explanation:

what's the diagram??

Find the LCM of the given numbers 24 36
A:36
B:72
C:144
D:864

Answers

Answer:

B

Step-by-step explanation:

24*3=72

36*2=72

1. What is the difference between Salary and Wage?
2. $15 per hour is the basic rate at a factory. After a 48-hour basic work week,
overtime is paid time and a half.
a. If no one worked overtime and the factory paid $15840 in wages one week
how many workers are in the factory?
b. During another week, a worker in the factory earns $810 in wages for
himself. How many hours did he work for?
Hi

Answers

Answer:

answer yourself

Step-by-step explanation:

Please help me if you know the correct answer, thank you

Answers

9514 1404 393

Answer:

Option 3Option 1Option 3

Step-by-step explanation:

1. The domain is the horizontal extent of the graph. The domain of the solution space extends to x=8 on the right, with x=8 not included. The appropriate description is ...

  (-∞, 8)

__

2. A suitable matrix calculator gives the solution as ...

  (2, 5, -2)

__

3. A suitable matrix calculator gives no solution. (The reduced form of the last equation is 0=1. No variable values will make this true.)

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