Find the length of AB if AB = x + 10, BC = x + 14, and AC = 32.

Answers

Answer 1

Answer:

14

Step-by-step explanation:

AB + BC = AC

[tex]x + 10 + x +14 = 32 \\ 2x = 8 \\ x = 4 \\ \\ [/tex]

AB = 4 + 10 = 14

Answer 2

Answer:

           AB = 14

Step-by-step explanation:

AB + BC = AC

x + 10 + x + 14 = 32

2x + 24 = 32

   -24       -24

 2x  =  8

 ÷2     ÷2

  x = 4

AB = x+10 = 4+10 = 14


Related Questions

If 3x = 27, then x =

Answers

Answer:

x = 9

Step-by-step explanation:

3x = 27

3/3x = 27/3

x = 9

Choose Yes or No to tell if the digit in the ones place is 110 the value of the digit in the tens place.
4,099
Choose...


4,110
Choose...


5,909
Choose...


5,011
Choose...

Answers

Answer:

No, no, no, no

Step-by-step explanation:

Simplify x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2 + x + 2. Write in simplified form, giving reasons. Someone help please?

Answers

easiest thing to do is combine like terms. There are 9 2's, which means 9(2) which equals 18. Now for the X's. There are 9 X's meaning (9)x which is 9x. This all makes up

18+9x

hope this helps

Answer:

9x +18

Step-by-step explanation:

Is -7 + 28 positive or negative?

Answers

Answer:

Positive

Step-by-step explanation:

-7+28=21

21 is positive

Answer:

Positive

Step-by-step explanation:

-7 + 28 = 21

EASY 13 POINTS!!!!!!!

Answers

Answer:

42

Step-by-step explanation:

Graph all the points and then measure their lengths. Use Pythagorean Theorem for slanted sides. Picture explains everything. Sorry if my graph is a little messy, but you get the idea.

Use elimination to solve and match each system of equations to the correct solution.
2x-9y=-51
2x-3y=-9

Answers

Answer:

2x-9y=-51

2x-3y=-9

subtract question ii from i we get

-6y = -42

y =7

put value of y in 1

2x - 63 = -51

2x= 8

x=4

How do I solve this? Please show your work.

Answers

Answer:

24 cm²

Step-by-step explanation:

Volume of a prism is equal to the area of the base times the height of the prism.

V = Ah

The volume is 120 cm³, and the height is 5 cm.  Therefore, the area of the base is:

120 cm³ = A (5 cm)

A = 24 cm²

Nate withdraws $40 from his checking account each dayWrite and solve a multiplication equation to find how long it will take him to withdraw $680

Answers

x = # of days

$40x = $680

Divide each side by $40

x = 17 days

40x=680 680/40=17 so x=17

What is 5.6666 as a fraction

Answers

Answer : 56666/10000



Step-by-step

5.6666 = 5.6666/1 = 56.666/10 = 566.66/100 = 5666.6/1000 = 56666/10000

find the value of a2+y when x=4 and y=3

Answers

Answer:

If you mean x2+y, then the answer would be 11.

if you meant x2+y ^^

4(2) + 3

8 + 3

= 11

Bill eats 3 slices of cornbread for breakfast that contain a total of 543 calories. How many
calories does each slice contain?

Answers

Each slice contains 181 calories

543/3=181

Brainliest?

Are the ratios 3:9 and 21:27 equivalent? Why or why not?

Answers

Answer:

Not equivalent

Step-by-step explanation:

Given:

3:9 and 21:27

We see that

21:27= 7:9

Comparing:

3:9 < 7:9

They have same denominator but different numerator, hence they are different

Answer:  No

Step-by-step explanation:

No there are not since 3 times 7 = 21 and 9 times 3 = 27. The numbers that are used to multiply for the answers,  7 and 9, are not the same so therefore both ratios are not equivalent.

8. Tonya is cutting square frame mats to frame several square photographs. She can determine the area of the mat from the function m{x) = x2 + 6x + 9, where x is the length in inches of the side of the photograph and m(x) represents the area of the mat. Find the area of the mot given a photograph with a side length of 4.6 inches. in (DO NOT INCLUDE SPACES IN YOUR ANSWER​

Answers

Answer:

57.76 in²

Step-by-step explanation:

Plug in 4.6 as x in the equation and solve:

m(x) = x² + 6x + 9

m(4.6) = (4.6)² + 6(4.6) + 9

m(4.6) = 57.76

So, the area of the mat is 57.76 in²

Find the distance between the points (4,10) and (0,0) the answer must be a whole number

Answers

Answer:

10.77

Step-by-step explanation:

√(4-0)²+(10-0)²

√4²+10²

√16+100

√116

10.77

Answer:

11

Step-by-step explanation:

For this problem, we simply need to apply the distance formula:

distance = sqrt[ (y2 - y1)^2 + (x2 - x1) ]

distance = sqrt[ (10 - 0)^2 + (4 - 0)^2 ]

distance = sqrt[ (10)^2 + (4)^2 ]

distance = sqrt[ 100 + 16]

distance = sqrt [ 116 ]

distance ~= 10.77

The approximate distance rounded to a whole number is 11.

Cheers.

How much can 2 go into 80

Answers

Answer:

40

Step-by-step explanation:

80/2= 40

Please Help!!! 10 Points! Brainliest Answer

Answers

The answer is b.) 120 degrees

Answer:

120 degrees

Step-by-step explanation:

It says ABC is similar to MNO, though the shape is smaller, the angle is the same. So the measure of N is 120 degrees

Hope this helps :)


Express in algebraic terms: five less than four times a number.

Answers

Answer: 4n-5

n= Number

How do you solve this math problem?

5 = 12 + 4

Answers

It’s called a “false equation” bc their is no way to solve it. 16 does NOT equal 5.
you add 12 to 4 to get 16 and then you discover that this is not an equation because the left and right side of the equals sign are not the same

A canoe rental service charges a transportation fee and $8 dollars an hour to rent a canoe. Mary and Joe rented a canoe for 6 hours, and the total cost for was $68.

Answers

Answer:

transportation fee= $20

Step-by-step explanation:

Giving the following information:

A canoe rental service charges a transportation fee and $8 an hour to rent a canoe. Mary and Joe rented a canoe for 6 hours, and the total cost was $68.

To calculate the transportation fee, first, we need to calculate the total rent cost for 6 hours.

Rent cost= 6*8= $48

Now, the transportation fee:

transportation fee= 68 - 48

transportation fee= $20

Help me with this pls

Answers

Answer:

x=55, and y=62.5

Step-by-step explanation:

The reason why x=55 is because x and the angle 125 degrees form a linear pair (180 degrees) Hence,

x+125=180

=> x=180-125

=> x=55

Now coming to y, As we see y and 125 do not form a linear pair, so we know that x=the top angle of the triangle in which angle y is there. And with the information we also find that the triangle in which y is present is an isosceles triangle, so the other 2 angle  than the top angle are equal, which are y and another angle which is also y as they are the same degrees. Hence, we know x=55, then,

55+2y=180(As the angles in a triangle sum up to 180 degrees)  

=> 2y=180-55

=> 2y=125

=> y=125/2

=> y=62.5

Hope my answer helps, Thank you!


How does the absolute value take away negative signs

Answers

Step-by-step explanation:

the absolute value is the numbers UNIT DISTANCE from the origin (0,0). since you can't have negative distance, the result is always positive. Can be solved by counting distance on a graph Not by the actual numbers on the line (-1,-2,-3, etc) but by counting the "boxes" from a point to the origin. hope this makes sense!

Answer:

the absolute value of negative number makes it a positive number

(2,1),(-3,1) how do you solve this I’m looking for the slope I also have to show work

Answers

Answer: 0

Step-by-step explanation:

To find the slope, you would need to use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]m=\frac{1-1}{-3-2} =\frac{0}{-5} =0[/tex]

The slope is 0, meaning the line is horizontal.

Pls help stuck on it

Answers

x+16 should be equal to 2x+17+6.If you do the algebra you get x is equal to negative 7 so the answer is C

C. x = -7

2x + 23 = x + 16

x = -7

Please Help Thank You So Much

This is inequalities

Knowing that 6 < x < 7 and 10 < y < 12, find all possible values of:
b). y − x
d). y / x

You don't need a graph to solve this.
I kinda need this today.

Answers

Answer:

all the possible values of y - x are 4 and 5

all possible values of x/y = 1

What is 39,404,000 expressed in scientific notation?

Answers

Answer:

3.9404×10^7

Im not sure how to explain it.

What is the slope of the equation: x = -2

Answers

Answer:

undefined

Step-by-step explanation

it is a vertical line and has no defined slope

Does anyone know what [-2/3 * (-5/7)] * (9/4) is?

Answers

Kkkkoaoaossoossospsjiioiiiiii

Please write only vertical compression or stretch

Answers

Answer:

No te puedo ayudar vbbnn

Question: 0.4p + 1.7 < 3.3

Answers

Answer:

p < 4

Step-by-step explanation:

We are given 0.4p + 1.7 < 3.3.

We solve it like a normal equation by isolating the variable p. Subtract 1.7 from both sides:

0.4p + 1.7 - 1.7 < 3.3 - 1.7

0.4p < 1.6

Divide both sides by 0.4:

p < 1.6/0.4

p < 4

Thus, our possible solutions are p < 4.

~ an aesthetics lover

What is the domain of the function y=3 sqt x-1

Answers

Answer:

[1,∞) - All real numbers greater than or equal to 1

Step-by-step explanation:

The answer is [tex]x\geq 1[/tex] or 1, ∞

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