Supposed B is the midpoint of line AC. Use the given information to find the missing measure. AB = 6Y -14, BC = 10-2Y 2Y, what is AC

Answers

Answer 1

Given:

B is the midpoint of line AC.

[tex]AB=6Y-14[/tex]

[tex]BC=10-2Y[/tex]

To find:

The length of AC.

Solution:

It is given that B is the midpoint of line AC. So,

[tex]AB=BC[/tex]

[tex]6Y-14=10-2Y[/tex]

[tex]6Y+2Y=10+14[/tex]

[tex]8Y=24[/tex]

Divide both sides by 8.

[tex]Y=\dfrac{24}{8}[/tex]

[tex]Y=3[/tex]

The value of Y is 3.

Now,

[tex]AC=AB+BC[/tex]

[tex]AC=6Y-14+10-2Y[/tex]

[tex]AC=4Y-4[/tex]

Putting [tex]Y=3[/tex], we get

[tex]AC=4(3)-4[/tex]

[tex]AC=12-4[/tex]

[tex]AC=8[/tex]

Therefore, the length of AC is 8 units.


Related Questions

6 grade math pls help

Answers

Answer: <2=60°

Step-by-step explanation:

Equilateral meaning all same. Triangle whole will be 180° So 60x3=180°

Answer:

<2=60

Step-by-step explanation:

I hope it help

What is 0.98989898 with bar notation?

Answers

Answer:

Man it's easy

0.98.... = —–

0.98

Step-by-step explanation:

try putting a line above the 98.

if it helps don't forget to like and markme

I don't know what the answer is. Please Help

Answers

Answer:

D.

Step-by-step explanation:

Hope this helps

~R3V0

Jessica and Lindsay are curious as to who owns the most pairs of shoes. Jessica counter shoes and finds that she owns 18 pairs of shoes. When Lindsay counts hers, she finds that she owns only approx 72% as many as jessica. How many pairs of shoes does she own?

Answers

Answer: 13 pairs

Step-by-step explanation:

Given

Jessica owns 18 pairs of shoes

Lindsay has 72% as many as Jessica

So, the number of pairs Lindsay owns

[tex]\Rightarrow 72\%\ \text{of}\ 18=0.72\times 18\\\\\Rightarrow 12.96\approx 13\ \text{pairs}[/tex]

Answer:

13 pairs

Step-by-step explanation:

Given

Jessica owns 18 pairs of shoes

Lindsay has 72% as many as Jessica

So, the number of pairs Lindsay owns

please help 30 points

Answers

Answer:

The area of the polygon is 624.5 square feet.

Step-by-step explanation:

The total area of the figure ([tex]A[/tex]), in square feet, is the sum of the areas of two triangles and a rectangle, that is:

[tex]A = A_{I}+A_{II}+A_{III}[/tex] (1)

Where:

[tex]A_{I}[/tex] - Area of the big triangle, in square feet.

[tex]A_{II}[/tex] - Area of the small triangle, in square feet.

[tex]A_{III}[/tex] - Area of the rectangle, in square feet.

Then, we expand the formula by using all dimensions presented in the image attached:

[tex]A = \frac{1}{2}\cdot (25\,ft)\cdot (33\,ft-8\,ft) + \frac{1}{2}\cdot (8\,ft)\cdot (43\,ft-35\,ft) + (35\,ft)\cdot (8\,ft)[/tex]

[tex]A = 624.5\,ft^{2}[/tex]

The area of the polygon is 624.5 square feet.

WILL MARK BRAINLIEST IF CORRECT

Answers

Answer:

3rd Option

Step-by-step explanation:

Answer: The answer is C (the Third choice)

Step-by-step explanation:


A survey taken by 1,000 students at a school asked whether they played school sports. The table below
summarizes all 1,000 responses from the students surveyed.
Males
Females
312
220
Play a school sport
Do not play a school sport
?
216
How many of the males surveyed responded that they do not play a school sport?
252
688
109
468

Answers

Answer is 252 have a good day

I just need the inequality/equation please!

Stephanie is saving money to buy a computer next year. So far she has saved $200. Write an inequality to show how much she needs to save each month for the next year so she has at least $1200 to spend on the computer, then solve the inequality. ​

Answers

Let x represent the amount that she needs to save each month for the next year.

Stephanie is saving money to buy a new computer. So far she has saved $200. This means that the total amount that she would have saved in y months is

200 + xy

Since there are 12 months in a year,

an inequality to show how much she needs to save each month for the next year so she has at least $1200 to spend on the computer is

200 + 12x ≥ 1200

12x ≥ 1200 - 200

12x ≥ 1000

x ≥ 1000/12

x ≥ 83.33

A certain forest covers an area of 3900 km^2. Suppose that each year this area decreases by 6.75%. What will the area be after 12 years

Answers

Answer:

1686

Step-by-step explanation:

Rate of reduction = 100 - 6.75 = 93.25%

After 12 years, the reduction in trees = 0.9325^12 = 0.432301

Area after 12 years = 3900 x  0.432301 = 1686

-15.3 = -7.5k + 55.2

Answers

Answer:

k=0.1

Step-by-step explanation:

-15.3=-7.5k+55.2

7.5k=15.3+55.2

7.5k=70.5

k=70.5/7.5

k=705mul.10/75mul.10

k=705/0/750

k=0.1

I'll give the first person to answer a Brainliest :)
Factor: -4y - 16

Answers

Answer:

-4(y+4)

Step-by-step explanation:

Factors is something that influences something else.

Distributive property:

A(B+C)=AB+AC

16=4*4

Rewrite the problem down.

-4y-4*4

Solve.

Find the common term of -4.

-4(y+4)

As a result, the final answer is -4(y+4).

can you answer this one too please​

Answers

Answer:

a

Step-by-step explanation:

Find the perimeter of the following rectangle. Hint: add all sides.

Answers

Answer:

A

Step-by-step explanation:

The formula for the perimeter is 2l +2w. 4x^2+4x^2=8x^2.  y^2+y^2=2y^2.

If we add them together the answer is 8x^2+2y^2.

p (x) = - 2/3x^2 compare the graph of f (x) = x ^2

Answers

Answer:

p(x) is reflected over the x axis and is shrunken vertically by a factor of 2/3.

Step-by-step explanation:

Hope this helps.

A jacket has an original price tag of $68. The jacket is on sale for 80% of its original price. What is the sale price of the jacket?

Answers

Answer:

I believe it is 54.40$

Step-by-step explanation:

I think weird. so

68 divided by 5 which will give you 20%(13.6) then multiply by 4 which is 80%(54.4)

Answer:

Sale price = $13.6

Step-by-step explanation:

The 80% cost of the jacket is,

→ (68/100) × 80

→ 0.68 × 80

→ $54.4

Now the sale price will be,

→ 100% - 80%

→ 68 - 54.4

→ $13.6

Hence, sale price is $13.6.

a)3/5x + 1/x+2
can be written as a single fraction in the form ax+b/5x(x+2) where a and b are integers.
Work out the value of a and the value of b.
a =
b=
b) Factorise 4(x + y) + (x + y)^2

Answers

3/(5x) + 1/(x+2)

to give them the same denominator,
multiply 3 by (x+2) and 1 by (5x)
3(x+2) = 3x+2 and 1(5x)= 5x
now we have
3x+6/(5x)(x+2) and 5x/(5x)(x+2)
adding the numerators gives us

8x+6/(5x)(x+2)
therefore a=8 and b=6

The value of a and b are a=8 and b=6 respectively.

What is factorization?

factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.

We are given the expression as

3/(5x) + 1/(x+2)

We have to multiply 3 by (x+2) and 1 by (5x)

3(x+2) = 3x+2 and 1(5x)= 5x

Now we have

3x+6/(5x)(x+2)

5x/(5x)(x+2)

Now adding the numerators gives us

8x+6/(5x)(x+2)

Therefore a=8 and b=6

Learn more about factorization here:

https://brainly.com/question/10454590

#SPJ2

Help fast I gotta pass

Answers

Answer:

the value of x=25

option B

i found it !hjjihvjjijb

3rd of the day C: dis for u friend

Answers

Answer:

Thanks for the points!

Step-by-step explanation:

Helps so much if I got that Brainliest crown

You are so generous

Answer:

hi! do you need help with anything? :)

Step-by-step explanation:

Jackie deposits $2,050 into an account that pays 6.8% interest compounded annually. How much will be in the account (to the nearest dollar) after 6 years?

Answers

Answer:

$2091 (exact answer is $2090.80)

Step-by-step explanation:

2050 × 6.8% = 6.8

So, interest will add an extra $6.80 to his account

6.8 × 6 = 40.8

So, after 6 years, interest will make him an additional $40.80.

Add 40.80 to his original amount of money.

2050 + 40.8 = 2090.80

Round it up to the nearest dollar.

$2091

Diego thinks that x = 3 is a solution to the equation x² = 16. Do you agree?
Explain or show your reasoning.
Yes, he is correct.
No, he is incorrect. The answer should be 6.
No, he is incorrect. The answer should be 9.
None of the above

Answers

Answer: No, he is incorrect. The answer should be 9.

Step-by-step explanation: x² = x times x so  in this case x is 3.

3 times 3 = 9

Lol this is prob more helpful than the other answer

Solve the equation. 12x+3=51

Answers

[tex]12x + 3 = 51 \\ 12x = 48 \\ x = 4[/tex]

Answer:

= 4

Step-by-step explanation:

1 2 + 3 = 5 1

1 2 + 3 -3 = 5 1 − 3

i hope this helps<3

:)

helpp ill give brainlist ​

Answers

Step-by-step explanation:

[tex]6 {x}^{2} - 5x + 2 - 2 {x}^{4} + 3 {x}^{2} - 2= \\ = - 2 {x}^{4} + 9 {x}^{2} - 5x [/tex]

Answer:

c. g-f(x) -2x⁴+9x²-5x

Step-by-step explanation:

that is the best answer

Wyatt is hiking a trail that is 11/12 mile long.After hiking 1/4 mile he stops for water he continues hiking for another 1/6 mile and stops to rest how much farther must he hike to finish the trail

Answers

Answer:

the answer in the simplest form is 1/2 miles and if it's not in its simplest form is 6 /12 .hope it helps.

i need help please help me i’m freaking out and I really need this

Answers

Answer: oof

Step-by-step explanation:

Answer:

the answer is a

Step-by-step explanation:

I'LL GIVE BRAINLIEST TO ONE OF THE FIRST 2 PEOPLE TO ANSWER. DON'T JUST PUT ANYTHING OR YOU WON'T GET BRAINLIEST

Determine whether the ordered pair is a solution of the linear equation. Provide your check step.

-9 - 5y = 4x ; (-6,3) ​

Answers

Answer:

what is ; for that messes me up i dont  know why you put that

Step-by-step explanation:

Which is the graph of a quadratic equation that has a positive discriminant?

Answers

Answer:

D

Step-by-step explanation:

on edge :)

Answer:

D

Step-by-step explanation:

edge

please helppp

three numbers have a ratio of 2:3:4 . find the largest number if their sum is 36

Answers

Answer: 16 is the largest number

Explanation: Hope this helps!

Answer:

Step-by-step explanation:

2x + 3x + 4x = 36

x = 4

Largest number = 4x = 16

Whats is 12 =12x -1 ????????

Answers

Answer:

if you want 12 x 12 - 1 it is 143

Answer:

13 / 12

Step-by-step explanation:

12 = 12x - 1

12x - 1 = 12

12x = 12 + 1

12x = 13

x = 13 / 12

are the two triangles congruent ? Please answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Answer:

i consiterd them

Step-by-step explanation:

hello please help thanks

Answers

Evaporation Is Your Answer

The first step of the water cycle is evaporation. About 85% of the water vapor in the air comes from water that evaporated from the oceans.

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