What is the length of AC?

What Is The Length Of AC?

Answers

Answer 1

7/x = 84 / (156 -x)
84x = 7(156 -x)
84x = 1092 - 7x
91x = 1092
x = 12

AC = 156 - 12 = 144

answer
D. 144

Related Questions

Can exponents be integers

Answers

Answer:

NO

Step-by-step explanation:

Exponents are expressed as numbers or variables in superscript above a base number. When the exponent is equal to or greater than 2, it directs how many times the base number is to be multiplied. The numbers 1 and 0 are special exponents, and negative integers as exponents stand for reciprocal values.

Answer:

It matters of what the whole number in front is.

Step-by-step explanation:

For example: 6 to the power of 2 = 36  

if the first number is a decimal: 1.6 to the power of 2.56

Its NOT an exponent if the starting number is a decimal usually.

Help me solve these two find the value of x please help

Answers

Hi there!

[tex]\large\boxed{\text{x = 12, x = 5}}[/tex]

Problem 1:

The angles pictured are vertical angles, so each will be equivalent. Therefore:

(5x + 5)° = 65°

Subtract 5 from both sides:

5x = 60

Divide both sides by 5:

x = 12°.

Problem 2:

The two angles are supplementary, so they add up to 180°. Therefore:

180° = (9x)° + (12x + 75)°

180 = 9x + 12x + 75

Combine like terms:

180 = 21x + 75

Subtract 75 from both sides:

105 = 21x

Divide both sides by 21:

x = 5°.

In a family of 11, what is the probability that there will be more boys than girls

Answers

Answer:

P(all female)= 1/2 x 1/2 x 1/2 = 1/8

P(all male ) = 1/2 x 1/2 x 1/2 = 1/8

P(all one gender) = P(all female) + P(all male) = 1/8 + 1/8 = 1/4

What is the probability that a three-child family is two girls and one boy?

Each possible birth order has P=1/8. That is, P(G,G,B)=P(G,B,G)=P(B,G,G)=1/8.

So, P(2G,1B)= 3/8 and P(1G,2B)= 3/8.

This allows us to write the overall gender probability distribution for families of three children as follows:

1/8 will be three girls

3/8 will be two girls and one boy

3/8 will be one girl and two boys

1/8 will be three boys

Adding it all up, we have 1/8 + 3/8 + 3/8 + 1/8 = 1 (100%)

Step-by-step explanation:

Althea traveled 280 miles at a speed of 70 miles/hour. How much time did she take to cover this distance?

Answers

I think it would be four hours!! Let me know if it’s right or wrong! Have a good day!

At a firefighters' pancake breakfast, the firefighters served 345 people and raised $1395. As adult's ticket to the pancake breakfast was $5 and the cost of a child's ticket was $3. What was the number of child and adult tickets sold?

Answers

Answer:

Number of adult tickets = 180

Number of child tickets = 165

Step-by-step explanation:

Given:

Total number of ticket = 345

Total amount = $1,395

Cost of adult ticket = $5

Cost of child ticket = $3

Find:

Number of child and adult tickets

Computation:

Assume;

Number of child tickets = a

Number of adult tickets = b

So,

a + b = 345...........eq 1

3a + 5b = 1,395...........eq2

3 x in eq 1

3a + 3b = 1,035.........eq3

eq2 - eq3

2b = 360

b = 180

Number of adult tickets = 180

a + b = 345

a = 165

Number of child tickets = 165

A truck is working to carry a batch of goods including sand and
stone but it can only carry 20 tons at most. The carriage
charges of each ton of sand and stone are 10 and 15 dollars
respectively. Its owner wants to earn at least 250 dollars. Write
a system of inequalities to express this situation. What is the
least possible number of tons of stone the owner needs to
carry to meet his own goal?
tons
Enter the answer
Check it

Answers

Answer:

Y=10

Step-by-step explanation:

No

Anna sells candy apples at her yard sale. She wants to earn more than $40. She sells the apples for $2 and has earned $26. How many apples does she need to sell to reach her goal?

Answers

Answer:

7 apples

Step-by-step explanation:

40 - 26 = 14

14 / 2 = 7

Maria has a job picking apples. She can pick 52 apples per hour. How many apples can she pick in 45 minutes.

Answers

Answer:

39

Step-by-step explanation:

2. A maintenance crew is paving a road in 7-hour shifts. After
10 shifts, 1.25 miles of road have been paved. After 45 shifts,
5.625 miles of road have been paved. At what rate is the
maintenance crew paving the road in miles per shift?
What is the independent quantity?
What is the dependent quantity?
How many miles are paved per shift worked?
miles/shift

Answers

Answer:

The answer is the first one

Step-by-step explanation:

A group of 8 children and 10 adults ate going to a movie. Child tickets cost $2 and adults tickets cost $4. How much will the movie tickets cost in all ?

Answers

Answer:

56$

Step-by-step explanation:

8*2=16

10*4=40

16+40=56

Calculate the area of the rectangle.

Answers

Answer:

12

Step-by-step explanation:

You count all of the blue squares

12. Just count all of the blue squares.

A system of two linear equations has infinite solutions. What does this tell you about the graph of the system?
А) The system graphs as parallel lines.
B) The system graphs as one line
C) The system graphs as perpendicular ones.
D) The system graphs as intersecting lines​

Answers

Answer:

B) The system graphs as one line.

Step-by-step explanation:

The solutions of systems are basically the points where the two lines of the linear equations meet, or intersect.

So, picture it like this: if a system of linear equations has INFINITE (never-ending) solutions, then it must mean that the two lines intersect at EVERY single one of their points. And if they intersect at every one of their points, then that must mean that they are the same line, even if the equations are written differently.

Hope this helps!

1) In 2000, there were approximately 109 million cell phone users in the United States. The number of cell
phone users grew to approximately 189 million after one year.
a) Write an exponential model that represents the number of cell phone users in the United States, where t
represents the number of years after 2000.
[2]
[1]
b) What is the percent rate of change?
[1]
c) What would be the number of cell phone users in 2015?
[3]
2) Which statement applies to the graph of f(x)=e* below.

Answers

Answer:

the answer is 298

Step-by-step explanation:

The directions on a sewing pattern say to cut an extra 15% of fabric to account for error.
Chloe needs 0.75 yard of fabric to make a skirt, and she cuts 0.1125 yard.
Did Chloe cut the correct amount of fabric? Why or why not?



Chloe cut enough fabric because she cut the amount of fabric for the skirt.



Chloe cut enough fabric because she cut enough fabric for the skirt and the amount of extra fabric.



Chloe did not cut enough fabric because she only cut the amount of fabric for the skirt.



Chloe did not cut enough fabric because she only cut the amount of extra fabric.

Answers

Answer:

D

Step-by-step explanation:

She only cut the 15% extra and no the other 75%

Chloe cut enough fabric because she cut enough fabric for the skirt and the amount of extra fabric. The correct option is B.

What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that The directions on a sewing pattern say to cut an extra 15% of fabric to account for errors. Chloe needs 0.75 yards of fabric to make a skirt, and she cuts 0.1125 yards.

Calculate the percentage of the fabric from the given data,

Percentage = 0.1125 / 0.75

Percentage = 0.15 x 100

Percentage = 15%

Chloe cut enough fabric because she cut enough fabric for the skirt and the amount of extra fabric.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ2

expand and simplify completely (log). PLEASEE HELP ASAP!!! I WILL GIVE BRAINLIEST!! thank you so much!!!!

Answers

Answer:

c. [tex]2 log3(y)+1+log3(x)[/tex]

Step-by-step explanation:

When expanding and simplifying, we can see that the answer is [tex]1+log3(x) + 2log3(y)[/tex], which matches Answer Choice C.

Answer:

( C ) 1+log3x+2log3y

Step-by-step explanation:

What is the coefficients of x4 in the expansion of (1+x)4(1+2x)3.

Answers

By the binomial theorem,

(1 + x)⁴ = 1 + 4x + 6x² + 4x³ + x

(1 + 2x)³ = 1 + 6x + 12x² + 8x³

In the expansion of (1 + x)⁴ (1 + 2x)³, we get an x⁴ when multiplying

• x⁴ and 1 to get x⁴;

• 4x³ and 6x to get 24x⁴;

• 6x² and 12x² to get 72x⁴; and

• 4x and 8x³ to get 32x⁴.

Add these up:

x⁴ + 24x⁴ + 72x⁴ + 32x⁴ = 129x

Enter an equation to describe the linear relationship.


The temperature, y, of a pot of water is 45 °F. The temperature increases by 25 °F per minute,x , when being heated.

The equation is y=

Answers

Well if it h then take the y key and mil in storage for you to do :)

Need help ASAP plzzz

Answers

Answer: D

Step-by-step explanation: i did the math

There is a shirt that originally costs $10.00. Now it is 45% off. How much is the shirt after the discount?

Answers

Answer:

$5.50

Step-by-step explanation:

1.) The first step is finding what 45% of $10 is. We can do this by turning 45% into a decimal number (45%=0.45). We then multiply 0.45 by the $10.

2.) 0.45×$10=$4.50 ; We just found that 45% of $10 is $4.50

3.) Because the shirt is 45% less than the original price (45% off), we need to subtract the 45% (which is equal to $4.50) from the original price, $10

4.) $10-$4.50=$5.50, the new price

Braniliest

What is the value of of x when 3x = 54?

A) x = 18
B) x = 51
C) x = 57
D) x = 162

Answers

A) x = 18

3x = 54

=> x = 54/3

=> x = 18

Answer:

A) x= 18

Step-by-step explanation:

I took the test on USA TEST PREP. Also cause ima smarty pants.

please show work
a car travels 100 miles in 2 hours (with a constant speed). how much time will it take traveling 275 miles

Answers

Answer:

5.5 hours (If rounded, then 6)

Step-by-step explanation:

If you divide 100 by 2, it would be 50. So then you would have to divide 275 by 50, which will get you your time. Which is 5.5 hours.

PLEASE HELP WITH THE 2

Answers

Answer:

ok good luck jsjsksksksksks

Answer:

y=32

Step-by-step explanation:

45+z+y=180

z=103 by the exterior angle theorem

45+103+y=180

148+y=180

y=32

Given line p is parallel to line q, measure of angle 3 = 5x - 3 and measure of angle 8 = 4x - 6, find x.

Answers

Answer:

None

Step-by-step explanation:

There is not enough information to be given a correct answer

None not enough information for me be able to answer it

Which is it? A,B,C or D

Answers

B I think I don’t really know

help!!!!!! asap please!

Answers

Answer:

ITS ONE

Step-by-step explanation:

WHEN YOU MULTIPLY 1X1 YOU GET ONE

The price of mangoes in a grocery store is 3 for $5. How much will 5
mangoes cost? Round the answer to the nearest hundredth.

Answers

Answer:

8 and one thirds

Step-by-step explanation:

5 times 5 is equal to 25 and 25 divided by 3 is 8.3333

Answer:

$8.33

Step-by-step explanation:

So, to figure out how much one mango costs, I did $5 divided by 3, which gave me 1.66.

I then multiplied that by 5 to see how much 5 mangos cost, and I got $8.33

Mr. Alvarez is buying every boy on his son's football team a new football. The footballs are sold in packages of 4. There are a total of 15 boys on the football team.

Part A:
In order for every boy to receive a football, how many packages of footballs does Mr. Alvarez need to buy?

Part B:
Using your findings in Part A, if every package costs $20.97, how much will Mr. Alvarez spend on footballs? PLEASEE HELP

Answers

Answer:

A)4 packs of footballs

B)$83.88

Step-by-step explanation:

If every boy needs a football then he is unable to buy just 3 cause then he would only have 12 footballs

3*4=12

So he would need 4 packs of footballs

B) because he needs 4 packs he multiplies 4 by 20.97 a pack.

4*20.97=83.88

Please help me I really don't know
The function 1.5x + 0.5y = 12 represents the number of hardcover books x and softcover books y you can buy at a used book sale.
a. solve the equation
b. make an input-output table to find ordered pairs for the function.
c. plot the ordered pairs in a coordinate plane.

Answers

Answer:

Step-by-step explanation:

Let's solve for x.

1.5x+0.5y=12

Step 1: Add -0.5y to both sides.

1.5x+0.5y+−0.5y=12+−0.5y

1.5x=−0.5y+12

Step 2: Divide both sides by 1.5.

1.5x

1.5

=

−0.5y+12

1.5

x=−0.333333y+8

Answer:

x=−0.333333y+8

solving a compound inequality. check all that apply.

Answers

Answer:

The solutions are:

-28.25, -14.5, -2.25

Step-by-step explanation:

Given compound inequality is:

[tex]-17.5\leq \frac{2x+4}{3} <17.5[/tex]

The compound inequalities are broken down into two inequalities to find the solution

The two inequalities will be:

[tex]\frac{2x+4}{3} \geq -17.5[/tex]   AND   [tex]\frac{2x+4}{3}<{17.5}[/tex]

Solving both inequalities one by one

[tex]\frac{2x+4}{3} \geq -17.5\\2x+4 \geq -52.5\\2x \geq -52.5-4\\2x \geq -56.5\\\frac{2x}{2} \geq \frac{-56.5}{2}\\x \geq -28.25\\\frac{2x+4}{3} < 17.5\\2x+4 < 52.5\\2x < 52.5-4\\2x \geq 48.5\\\frac{2x}{2} \geq \frac{48.5}{2}\\x < 24.25[/tex]

The solution is:

-28.25 ≤ x < 24.25

We have to see which options lie in the solution range.

The solutions are:

-28.25, -14.5, -2.25

If x is 5, then 6x=??​

Answers

Answer:

30

Step-by-step explanation:

since x=5, and it's 6x, it'd be the same as 5x6, or 6(5).

Answer:

I think it should equal 30

Step-by-step explanation:

If x is 5 it would be 6(5) so you multiply 6 and 5 which equals 30

(sorry if i'm wrong)

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