Find x if AB = x-6, BC = 7,
and AC= -8 + 2x.

Answers

Answer 1

Answer:

9

Step-by-step explanation:

set up the equation: ab+bc=ac

(x-6) + 7 = (-8+2x)

Step 1: Simplify both sides of the equation.

x−6+7=−8+2x

x+−6+7=−8+2x

(x)+(−6+7)=2x−8(Combine Like Terms)

x+1=2x−8

x+1=2x−8

Step 2: Subtract 2x from both sides.

x+1−2x=2x−8−2x

−x+1=−8

Step 3: Subtract 1 from both sides.

−x+1−1=−8−1

−x=−9

Step 4: Divide both sides by -1.

−x/−1  =  −9 /−1

x=9


Related Questions

slopes , a few questions I need help on

Answers

For 6 it’s -10. I’m not sure about number 8 sorry :(

Closure illustrates that a characteristic of a set is not
necessarily a characteristic of all of its subsets. The real
numbers are closed with respect to multiplication, but the irrational numbers, a subset of the real numbers, are not. Give an example of a set that is not mathematical that has a particular characteristic, but which has a subset without this characteristic.

Answers

There are many examples to pick from, but one example is this:

The set of rational numbers (aka any fraction of two integers) is closed under the operation of division. Divide any two rational numbers and we get some other rational number.

However, the set of integers is not closed under division. If we divided 10 over 3, then we get 10/3 = 3.333 approximately which isn't an integer. So just because the set of integers is a subset of the rationals, it doesn't mean that the idea of closure follows suit from superset to subset.  

Side note: The term "superset" is basically the reverse of a subset. If A is a subset of B, then B is a superset of A.

What are the steps in finding the conditional distribution of a certain category in a dataset. Give an example and solve it.

Answers

Answer:

just distribute

Step-by-step explanation:

Just kidding HAHA

least to greatest 1/2, .25, -3.5, 2.5, -4/5

Answers

Answer:

-3.5, -4/5, .25, 1/2, 2.5

Step-by-step explanation:

Let p: A shape is a triangle.
Let q: A shape has four sides.
Which is true if the shape is a rectangle?
O pva
O р а
O p 9
O 9 p

Answers

I might be wrong but i think it is pva

Help pleaseeeeeeeee

Answers

I hope this helps :)

How many different 6-digit license plates are possible if the first 3 digits can be any letter and the last 3 digits can be any number?
A. 108
B. 17,576,000
C. 128
D. 15,725,000

Answers

Answer:

B

Step-by-step explanation:

every position on the license plate is independent from the others.

so, for each position we have the full choice of all possibilities.

there are 26 letters in the alphabet. and there are 10 different single numeric digits.

so, for the first position we have 26 possibilities. as we have for the second and third positions.

the means for each option for the first position we have 26 choices for the second.

that is 26×26.

then for each given choice of the first 2 positions we have 26 choices for the third position.

that is then 26×26×26 possibilities.

for each of the given choices of the first 3 positions we have 10 choices on the fourth position. and then on the fifth and the sixth positions.

the makes altogether

26×26×26×10×10×10

even without calculator I know it must be B, because the number of possibilities must end with 3 "0"s (due to the 10×10×10).

and the main number block must end with a "6" due to 26×26×26, which means for the last position we only need to consider 6×6×6. 6×6 = 36 ending in a "6". and that again multiplied by 6 is again 36 ending in a "6".

so, 26×26×26 has to end with a "6". that gives us B.

I am very confused on this question.

Answers

Answer:

A= (-6, 5)

M= (-1.5, -1)

B= (3, -7)

Step-by-step explanation:

*----------------*---------------*

A                  M                B

B has the same distance from M as A from M.

A number tmies two divied by four

Answers

Answer:

2

Step-by-step explanation:

2÷2 is 4 because 2×2 is 4 and it is asking that how many times two divided by four so A number 2 times two divided is four

x • 2 \ 4 =

4 • 2 = 8

x = 8

8 • 2 \ 4 = 4

Which sequences are arithmetic? Check all that apply.

–5, 5, –5, 5, –5, …
96, 48, 24, 12, 6
18, 5.5, –7, –19.5, –32, …
–1, –3, –9, –27, –81, …
16, 32, 48, 64, 80

Answers

The arithmetic sequences are 3rd one, and 5th one as they are increasing or decreasing by a constant rate of change

help me solve this plz

Answers

Answer:

sorry but this photo is not clear

Answer:

blur photo cannot answered

find the simplest answer for 3% of 400

Answers

Answer:

3% of 400 is equal to 12

Step-by-step explanation:

Solving these kinds of problems is actually quite simple. For this one you would simply multiply 0.03 by 400 because 0.03 is the decimal form of 3%.

Hope that helps!

Refer to the graphic novel frame below. The brochure says that the rope is 500 feet long. Jacob drew a triangle in the sand that is similar to the actual triangle formed by a parasailer and the boat. Use the properties of similar triangles to determine the parasailer's height above

Answers

   To solve this problem use the property of similar triangles,

 "Corresponding sides of the similar triangles are proportional"

By using this property, height of the parasailer is 160 feet.

From the figure attached,

In ΔPQR, a parasailer is a at point P and a boat is at R.Actual length of the rope PR = 500 ftJacob drew a similar triangle ABC in which parasailer is at A and the boat is at C.

Let the height (PQ) of the parasailer = x ft

Height of the parasailer AB = 25 ft.

And the length of the rope AC = 2.5 ft.

Since, both the triangles ΔABC and ΔPQR are the similar triangles, their corresponding sides will be proportional.

[tex]\frac{AB}{PQ}=\frac{AC}{PR}[/tex]

[tex]\frac{2}{x} =\frac{2.5}{200}[/tex]

[tex]x=\frac{200\times 2}{2.5}[/tex]

[tex]x=160[/tex] ft

        Therefore, height of the parasailer is 160 feet.

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Help Please need answer in 10 minutes

Answers

Answer:

Answers

Step-by-step explanation:

Nina can braid 144 inches of rope in 3 hours find her unit rate round your answer to the nearest thousand

Answers

Answer:

48 inches

or

0.8 minutes

Step-by-step explanation:

To find the unit rate of inches per hour, divide 144 by 3.

144÷3=48

You don't need to round because there are no decimals.

To find the time to braid 1 inch, first multiply 3 by 60 (because there are 60 minutes in 1 hour).

3×60=180

Then divide 144 by 180.

144÷180= 0.8

You don't need to round because there are no thousandths.

Determine the sum of the first 10 terms of each geometric series.
a) 4 + 12 + 36 + ...

Answers

Answer:

I think the sum of the first 10terms of each geometric series is

4x3=12

= 4+12

12x3=36

=4+12+36

36x3=108

=4+12+36+108

108x3=324

=4+12+36+108+324

324x3=972

=4+12+36+108+324+972

972x3=2916

= 4+12+36+108+324+972+2916

2916x3=8748

=4+12+36+108+324+972+2916+8748

8748x3=26244

=4+12+36+108+324+972+2916+8748+26244

26244x3=78732

=4+12+36+108+324+972+2916+8748+26244+78732=the sum of the geometric series which is = 118,096.

hope this helps I am not sure of the answer but I tried my best.

place the numbers on the number line. (Please help me im new and don’t understand this at all.)

Answers

Answer:

-1.75, 3/4, 1.5, square root of 4 aka 2

Step-by-step explanation:

12 The diameter of a circle is 24 cm. Its radius is

Answers

Answer:

Radius of circle=24cm÷2

=12cm

Pls help! URGENT ONLY DO QUESTION 21 PLS

Answers

Answer:

y = x - 8

Step-by-step explanation:

There's no magic method to doing these, and problem 21 makes it harder to see a pattern by using inputs that are not consecutive integers (like problem 20 does)!

Looking at inputs 20 and 21, the outputs are 8 less than the inputs.  Check the other inputs and notice that the same pattern holds up.

complete the table for the given rule

PLEASE HELP QUICK​

Answers

Answer:

16, 8, 36

Step-by-step explanation:

To solve for x for the first answer, multiply 4 by y

[tex]y = \frac{x}{4} \\\\y (4) = x\\\\x = 4(4)\\ x= 16[/tex]

To solve for x for the second answer, multiply 2 by y

[tex]y = \frac{x}{4} \\\\y (4) = x\\\\x = 2(4)\\ x= 8[/tex]

To solve for x for the third answer, multiply 9 by y

[tex]y = \frac{x}{4} \\\\y (4) = x\\\\x = 9(4)\\ x= 36[/tex]

replace with <,>, or = to make a true statement: 2^5 4^2

Answers

Answer:

2^5>4^2

Step-by-step explanation:

[tex] {2}^{5} > {4}^{2} \\ 32 > 16[/tex]

hopefully this makes sense

:)

A line goes through the points (7, 3) and (11, 5). What is the equation of the line? Answer quick pls.

Answers

Step-by-step explanation:

slope = ( y2-y1) / (x2-x1)

= (5-3) / (11-7)

= 1/2

y= mx+ b

m = slope

5 = 11/2 + b

5 - 5.5 = b

b = -0.5

the equation y = 1/2(x) - 0.5

The equation of line is x-2y =1

How do you find equation of a line?To find an equation of a line given the slope and a point.Identify the slope.Identify the point.Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) . y − y 1 = m ( x − x 1 ) .Write the equation in slope-intercept form.

Slope-intercept form: The equation of line with slope m and making an intercept c on the y-axis, is y = mx + c.

Given coordinates are:

(7, 3) and (11, 5)

now, equation of line

(y- y1)= (y2-y1)/(x2-x1) *(x-x1)

y-3 =(5-3)/(11-7) *(x-7)

y-3= 2/4 * (x-7)

y-3= 1/2(x-7)

2y-6= x-7

x-2y =1

Hence, the equation of line is x-2y =1.

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Need help on this one please help thank you I don’t get it

Answers

Answer:

g(x) = -2x - 2

Step-by-step explanation:

g(x) = f(x) - 1

= -2x - 2 {the pattern of function graph moving up and down}

Help! Perimeter and Area please.

Answers

Area should be 51? (base times height and I divided the shape into two different shapes then added together) and I get 43 for the perimeter...I’m not certain in the perimeter is correct though so I apologize if it is incorrect. I can’t remember if you count the actual bordering red squares or if you only count the while squares AROUND the red squares....

(C E
What is the solution to the linear equation?
2 + p =4/5 + 3/5p

O p = 1
O p=2
O p=8
Op=10

Answers

Answer:

[tex]2 + p = \frac{4}{5} + \frac{3}{5} p \\ p \: terms \: togather \\ p - \frac{3}{5} p = \frac{4}{5} - 2 \\ \frac{5p - 3p}{5} = \frac{10 - 4}{5} \\ \frac{2p}{5} = \frac{3}{5} \\ 2p = 3 \\ p = \frac{3}{2} \\ thank \: you[/tex]

The value of p in the given equation 2 + p =4/5 + 3/5p is -5/2.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is 2 + p =4/5 + 3/5p

Two plus p equal to four by five plus three by five times of p.

p is the variable in the given equation.

2 + p =4/5 + 3/5p

Take the variable terms on one side.

2-4/5 =3/5p-p

6/5= -2p/5

5=-2P

P=-5/2

Hence, the value of p in the given equation 2 + p =4/5 + 3/5p is -5/2.

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How can you use slope to determine whether the parallelogram is a rectangle?

Answers

Step-by-step explanation:

To do this we need to calculate the slope of each side. If we can show that the slopes of the opposite sides are the same, then the opposite sides are parallel. The slopes of the opposites were the same, so ABCD is a parallelogram.

1/7 x X =1
X x 1/11=1
1 divided by 1/5=

Answers

Answer:

x = 7x = 115

Step-by-step explanation:

attached.....

PLZ HELP (-8x-6)-4 to the 2nd power

Answers

Answer:x=-0.75

Step by step: 4 to 2nd power multiple 4 by 4 you get 16 so (-8x-6)16 multiply 16 to -6 and -8x and so on...

Question 6 of 10
Gerald has $37 to buy maps for his hiking class. Each map costs $6. How
many maps can he buy? Do not include units in your answer.
Answer here

Answers

6 maps because 6•6 is 36 and he has $37

If C = 2πr and C = 24, what is the value of r? A. r = 12π B. r = 242π C. r = 48π D. r = 48π

Answers

C = 2πr

C = 24

Replace c with 24:

24 = 2πr

Divide both sides by 2:

12 = πr

Divide both sides by π

R = 12/π

Step-by-step explanation:

C = 2πr

24 = 2πr

24/2 = πr

12 = πr

12/π = r

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