For each question, draw a figure. Label the information on the figure. Write an equation that solves the
problem. Find the two answers requested. On AC, B is between A and C. For each question, find x and AB.
10. AB = 2x + 5, AC= 10x + 2. BC= 4x + 9.
11. AB = 3x, BC =x-6, AC = 8x - 14

For Each Question, Draw A Figure. Label The Information On The Figure. Write An Equation That Solves

Answers

Answer 1

Answer:

See attachment for the figures drawn for each question.

10. x = 3; AB = 11

11. x = 2; AB = 6

Step-by-step explanation:

10. AC = 10x + 2

AB = 2x + 5

BC = 4x + 9

AB + BC = AC (segment addition postulate)

(2x + 5) + (4x + 9) = 10x + 2 (substitution)

The equation above is what we would use to solve the problem as follows:

2x + 5 + 4x + 9 = 10x + 2

Combine like terms

6x + 14 = 10x + 2

6x - 10x = -14 + 2

-4x = -12

Divide both sides by -4

x = 3

AB = 2x + 5

Plug in the value of x

AB = 2(3) + 5 = 6 + 5

AB = 11

11. AB = 3x

BC = x - 6

AC = 8x - 14

AB + BC = AC (segment addition theorem)

3x + (x - 6) = 8x - 14 (substitution)

Use the equation to solve for x as follows:

3x + x - 6 = 8x - 14

Collect like terms

4x - 6 = 8x - 14

4x - 8x = 6 - 14

-4x = -8

x = 2 (dividing both sides by -4)

AB = 3x

AB = 3(2)

AB = 6

For Each Question, Draw A Figure. Label The Information On The Figure. Write An Equation That Solves

Related Questions

Amber earned $14.50 babysitting on Saturday. On Sunday, she spent $6.95 when she purchased a movie ticket. She needed to borrow money from a friend to complete her purchase of a snack. How much money did Amber pay for the snack if she owes her friend $5?

(sorry for the second question in a short time loll, first to answer gets brainliest)

Answers

Answer:

$12.55

Step-by-step explanation:

14.50-6.95=7.55

7.55 for the snacks which is what was left over after the ticket and she owes her friend 5 so u add that on

7.55+5=$12.55

I need help asap please ​

Answers

Answer:

y=3x+6, y=5x,

Step-by-step explanation:

The area of a square is given by A = 82, where s is the length of each side of the square.
If the area of a square room is 81 square meters, what is the length of 1 side of the room,
in meters?

Answers

Answer:

The area of the square being 81 sq m, each side will be 81^0.5 = 9 m. The perimeter is thus 4 times the side = 4*9 = 36 m. The sides of the square are the square root of the area (81m^2), which is 9m.

Step-by-step explanation:

Hope dis helps

PLEASE HELP THIS IS DUE IN LIKE AN HOUR


What is the slope of the line that passes through the points shown in the table?

Answers

I THINK the slope is y=2/1-3 or y=2/1+(-3) if you're looking for slope intercept form. but I for sure know the slope is positive. this is what the lines look like. hope this helps

PLZZZZZZ ANSWER
ASAP
READ QUESTIONS CAREFULLY ​

Answers

Answer:

7

Step-by-step explanation:

What is the pattern ?

0, 1, 8, 27, 64,

Answers

Answer:

Step-by-step explanation:

1 (=1×1×1)

8 (=2×2×2)

27 (=3×3×3)

64 (=4×4×4)

Construct a square whose area is
36 cm²

Answers

have each side be 6 cm
Squares have equal sides and 6^2 = 36

i need help ordering this from least to greatest

Answers

/39=6.245
2pi=360
6.2=6.2
So the answer is 6.2, /39, 2pi.

plz help will mark brainliest

Answers

The correct choices are:
2. (8a + 4b)
5. 4(2a + b)

2 is correct simply because there are 8 a’s and 4 b’s.

5 is correct because you multiply 4 by 2a and b, making 8a + 4b.

If K is the midpoint of JL , JK = 6x + 11 and KL = 16x +1, find JL.
Pls I need help

Answers

Since K is the midpoint of JL and we know that JK and KL are separate segments of JL, JK and KL are equal to each other.

6x + 11 = 16x + 1

Subtract 6x and 1 from both sides

10 = 10x

Divide both sides by 10

1 = x

We also know that:

JL = JK + KL = 6(1) + 11 + 16(1) + 1 = 6 + 11 + 16 + 1 = 34

What is the distance between -5 and 2?
units

———- units

Answers

Answer:

7

Step-by-step explanation:

5+2 is the difference between the two numbers

Answer:7

Step-by-step explanation:

hope its help thanks for seeing my answe bye


to What is mZXYZ

57
147
33
123

Answers

Answer:

57°

Step-by-step explanation:

[tex]\angle XYZ \: and \: \angle NOP \: are \: complementary. \\

\therefore m\angle XYZ + m\angle NOP = 90\degree \\

\therefore m\angle XYZ + 33 \degree = 90\degree \\

\therefore m\angle XYZ = 90\degree - 33 \degree \\

\huge \orange {\boxed {\therefore m\angle XYZ = 57\degree}}

[/tex]

Explain, in your own words, how to solve two-step equations.




WILL GIVE 15 POINTS

Answers

If the equation was 3x-4=15 you would add 4 to both sides which would get 3x=19 so then you would do divide 3 on both sides and you would get x=19/3

IL MARK AS BRAINLIEST PPL

Answers

Answer:

3/4 AND 4/5 are greater than 11/20

Step-by-step explanation:

multiply 3/4 by 5 and u get 15/20

milptiply 4/5 by 4 and u get 16/20

your finding the LCM and LCD

what are the steps to simplifying radical expressions?​

Answers

Answer:

Step 1: Find the prime factorization of the number inside the radical.

Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.

Step 4: Simplify the expressions both inside and outside the radical by multiplying.

Step-by-step explanation:

ALGEBRA QUESTION THAT NEEDS ANSWER ASAP

Answers

A) 11.7

Step-by-step explanation:

sin 20/4=sin 87/c

sin 87×4=sin 20c

3.9945=0.3420c

c=3.9945/0.3420

c=11.7

2log50+2log2 sederhanakan dengan caranya

Answers

Answer:

4

Step-by-step explanation:

log(50×50)×log(2×2)

log (2500)×log(4)

log(2500×4)

log(10000)

log(10^4)

=4

A line passes through the points (1,-6) and (4,3) What is the Y intercept of this line?

Answers

Answer: b=-9

Step-by-step explanation:

To find the y-intercept of the line, we can use the points given to make an equation. To find the slope, you use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]m=\frac{3-(-6)}{4-1} =\frac{9}{3} =3[/tex]

Now that we know the slope, we can fill in what we know and solve for y-intercept.

y=3x+b

We can plug in any point to solve for y-intercept.

3=3(4)+b                [multiply]

3=12+b                   [subtract both sides by 12]

b=-9

Now, we know that the y-intercept is b=-9.

A muffin recipe uses 1/3 cup of milk per batch. Which model shows how many batches can be made with 3 cups.

Answers

Answer: 1/3

Step-by-step explanation:


Convert this rational number
to its decimal form and round
to the nearest thousandth.

Answers

Answer:

.857

Step-by-step explanation:

6/7 = about .8571

rounded to thousandth is .857

Equations: -5n=1 n+15= (-10) n/5 = -1/5 n-13= -12 Solutions n= -25 n= -1/5 n= -1 n=1 Match each equation with it's solution

Answers

Answer:

               -5n = 1   ⇒   n = -¹/₅              n+15 = (-10)  ⇒  n = 25              n/5 = -1/5   ⇒   n = -1              n-13= -12   ⇒   n = 1

Step-by-step explanation:

-5n  =  1

÷(-5)    ÷(-5)

 n = -¹/₅

n + 15 = (-10)

 -15     -15

n  =  -25

n/5 = -1/5

×5    ×5

n =  -1

n - 13 = -12

  +13     +13

 n  =  1

Answer:

           -5n = 1 : n = -¹/₅

            n+15 = (-10): n = -25

            n/5 = -1/5 : n = -1

            n-13= -12: n = 1

I don’t know know to do this... Someone please help
I’ve done this with single numbers before, but not with the equations. I’m not sure how to navigate through the problem with all of the equations and numbers....

Answers

Answer:D

Step-by-step explanation:

h(x) = 3x + 3
g(x)=-4x + 1
Find (h+ g)(10)
How to solve this ?

Answers

Answer:

h(x ) = 3 x+ 3

 g ( x ) = − 4 x + 1

( h +g ) ( x ) = 3 x + 3 − 4 x + 1 = − x + 4

( h + g ) ( 10 )

= − 10 + 4  

= − 6

Step-by-step explanation:

Simplify 7(exponent 6) multiplied by 7 (exponent 5)

Answers

7(6) x 7(5) = 7(6+5) = 7(11) is the simplified answer.
Thank you!

What is
2
- ---- x times 15
3

Answers

If you are asking what 2/3 times 15 is its 10

PLz hurry i really need this okay

Answers

Answer:

Step-by-step explanation:

perfect squares=9,64,49

non perfect squares=24,88,6

Mai wants to make a scale drawing of her kitchen. her kitchen is a rectangle with length 6m and width 2m. She decides on a scale of 1 to 40. Mal's Kitchen door is 1.2 m wide. How wide should the door be on the scale drawing?
How wide should the door be on the scale drawing?
cm
Explain how you know
Type your response in the box below.
c. Mai's kitchen table measures 4 cm by 2.5 cm on the scale drawing.
What are the actual measurements of her kitchen table?
Type your answers in the boxes below.

Answers

Answer:

Her door should be 3cm on scale

The actual dimension of the kitchen table is

[tex]Length = 1.6m[/tex]

[tex]Width = 1m[/tex]

Step-by-step explanation:

Given

[tex]Scale= 1 : 40[/tex]

[tex]Kitchen\ Dimension= 6m\ by\ 2m[/tex]

[tex]Door\ Width = 1.2m[/tex]

Solving (a): The width of the door on the scale

Represent the scale width with x

So, we have:

[tex]1 : 40[/tex]

and

[tex]x : 1.2[/tex]

Equate both ratios

[tex]1 : 40 = x : 1.2[/tex]

Represent as fraction

[tex]\frac{1}{40} = \frac{x}{1.2}[/tex]

Solve for x

[tex]x = \frac{1.2}{40}[/tex]

[tex]x = 0.03m[/tex]

[tex]x = 3cm[/tex]

Hence, her door should be 3cm on scale

Solving (b): Actual Dimension of the kitchen table

To solve this, we simply multiply the scale dimensions by 40

[tex]Length = 4cm * 40[/tex]

[tex]Length = 160cm[/tex]

[tex]Length = 1.6m[/tex]

[tex]Width = 2.5cm * 40[/tex]

[tex]Width = 100cm[/tex]

[tex]Width = 1m[/tex]

Hence:

The actual dimension is

[tex]Length = 1.6m[/tex]

[tex]Width = 1m[/tex]

What are the reasons?

Given: 3x + 1 = -14; Prove: x = -5
Statements

Answers

Answer:

x=-5

Step-by-step explanation:

Statement          Reason

3x+1 =-14              Given

3x=-15                   Subtraction Property of Equality

x=-5                       Division Property of Equality

Point O is on line segment NP. Given OP = 10, NP = 2x, and NO = x + 7,
determine the numerical length of NO.

Answers

Answer:

Step-by-step explanation:

?

Answer:

Its 24

Step-by-step explanation:

Solving Absolute Value Equations: Solve 4|x+7|+8=32

Answers

here’s if you need it written out
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