Find the measure of AB if B is the midpoint of AC and AB = 2x - 4 and AC = 28

Answer/Step-by-step explanation:

Length of AC:

Given that AB = x + 2, and BC = 7x - 3, therefore,

[tex] (x + 2) + (7x - 3) = AC [/tex] (segment addition postulate)

Simply the expression for the length of segment AC

[tex] x + 2 + 7x - 3 = AC [/tex]

Collect like terms

[tex] x + 7x + 2 - 3 = AC [/tex]

[tex] 8x - 1 = AC [/tex]

Length of QR:

Given that PQ = 8y + 5, and PR = 13y + 25, therefore,

QR = (13y + 25) - (8y + 5) (PQ + QR = PR)

Simplify the expression to for the length of segment QR

QR = 13y + 25 - 8y - 5

Collect like terms

QR = 13y - 8y + 25 - 5

QR = 5y + 20

Answer:

26

Step-by-step explanation:

here,

the lower angle when sumed,

it is like: 154+a=180 (let angle be a) being supplementary angle sum is 180

so value of a becomes 26

then,

the above angle x is corresponding to angle a (a=x)

So value x is 26

Answer:

24.2 I think

Step-by-step explanation:

21

+ 17.2

38.2

- 15

23.2

+ 1

24.2

Answer: The answer is 39

Step-by-step explanation: You get this answer by following the PEMDAS stragey. You multiply 17 and 2 to get 34. Next, you add 21 adn 34 to get 55. Next, you subtract 15 from 55 to get 40. Finally,  you subtract 1 from 40 and get 39.

Answer:

3 + 9[tex]\sqrt{5}[/tex]

Step-by-step explanation:

primeter = a + b + c

primeter = [tex]\sqrt{20}[/tex] + 3 + [tex]\sqrt{20}[/tex] + 3 + [tex]\sqrt{5}[/tex]

primeter = 3 + 9[tex]\sqrt{5}[/tex]

Answer:

13

Step-by-step explanation:

9 more than a number y is

y + 9

If the number y is 4, then you have

4 + 9 = 13

The expression is y +9 and the evaluation is 13.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Let y be the required number.

According to question,

the algebraic expression

y + 9

Here, y =4

Then y + 9

= 4 +9

= 13

Therefore, the expression is y +9 and the evaluation is 13.

To learn more about the addition;

brainly.com/question/29464370

#SPJ3

Answer: f=7/3

Step-by-step explanation:

f(3)=7

Step 1: Simplify both sides of the equation.

3f=7

Step 2: Divide both sides by 3.

3f/3=73

f=7/3

Answer:

D

Step-by-step explanation:

A polynomial in standard form has the terms in ascending order.

In other words, the term with the largest degree is on the left, followed by the term with the second largest degree, etc.

The largest term in this polynomial is 2x³. Thus, we need to start with that.

The only choice that starts with 2x³ is choice D.

Thus, choice D is in standard form.

And examining choice D, we see that it is in ascending order all the way through.

Answer:

  any value other than 8

Step-by-step explanation:

If c = 8, the two sides of the equation say the same thing, so any value of x will satisfy the equation.

If c ≠ 8, there are no values of x that can make the equation true, hence no solutions.

There is no solution for any value of c that is not 8.

[tex]c=-3x+8+3x\\c=8[/tex]

If c = 8 then the solution is infinite. (because the equation is true)

[tex]-3x+7=-3x+8\\-3x+7+3x-8=0\\1=0[/tex]

If c < 8 then there're no solutions. (the equation is false)

[tex]-3x+9=-3x+8\\-3x+9+3x-8=0\\1=0[/tex]

If c > 8 then there're no solutions.

easy way. also if you look at the graph. It's literally impossible to have one intercept if the coefficient of x for both have the same operators and same absolute value like -2x+c = -2x + a or -3x+2 = -3x+5, we'll never get a single intercept. If we change like -3x+c = -5x+8, we might still get one solution.

Answer:

I think C 130 probably wrong

Answer:

130 degrees

Step-by-step explanation:

Since there are vertical angles 2x and 3x-50 are the same. So you would do 2x=3x-50. The picture below shows how I got x=50. SO now you know x=50, it's important to remember that line AC equals 180 degrees. So what you nees to do is 180-50 to get what y equals. y should equal 130 degrees.

Answer:

8

Step-by-step explanation:

Area of a trapezoid can be found using  the following formula:

A= base 1 + base 2 / 2 times the height

plug it in

A= 6 + 2/2 times 2

A= 8

Answer: D

Step-by-step explanation:

Answer:

1) To get B from A add x to both sides

2) Yes, A and B are equivalent

Step-by-step explanation:

A..............

B ..............

Answer:

Answer:

1) Add/subtract the same quantity to/from both sides

2) Yes

Step-by-step explanation:

Answer:

x < 0  , y > 0

Step-by-step explanation:

In quadrant II, the x variable is less than 0 and the y variable is greater than 0

x < 0  , y > 0

Answer:

x < 0 and y > 0

Step-by-step explanation:

Quadrant II is the upper left quadrant.

In that quadrant, all x values are negative since it's to the left of the y-axis.

In that quadrant, all y values are positive since it's above the x-axis.

Answer: x < 0 and y > 0

Answer: Ray has 17 trucks .

Step-by-step explanation:

Let x = number of cars

y = number of trucks

As per given

x+y= 43    (i)

2y-8=x    (ii)

We can rewrite (ii) as

x-2y= -8      (iii)

Subtracting (iii) from  (i), we get

y- (-2y)= 43- (-8)

⇒ y+2y= 43+8

⇒ 3y=51

Divide both sides by 3

⇒ y = 17

Now, put this in (ii), we get

x= 2(17)-8=34-8 =26

Hence, Ray has 17 trucks and 26 cars.

Answer:

The kinetic energy of the car is 0.466 J

Correct Answer: A. 0.466 J Explanation: If there is no friction, all of the gravitational potential energy of the car at the top of the hill will be converted to kinetic energy at the bottom of the hill. The potential energy of the car is equal to the product of its mass, height, and gravitational acceleration.0.05 kg • 0.95 m • 9.81 m/s2 = 0.466 J.

Answer:

140°

Step-by-step explanation:

Supplementary angles sum to 180° , thus

angle = 180° - 40° = 140° ← other angle

Answer:

Yes, Jean is correct

Step-by-step explanation:

Given

[tex]73 * \frac{3}{4}[/tex]

Required

Determine the value of the result

When a positive integer is multiplied by a fraction, the result is always less than the integer

Solving further

[tex]Expression = 73 * \frac{3}{4}[/tex]

[tex]Expression = \frac{73 * 3}{4}[/tex]

[tex]Expression = \frac{219}{4}[/tex]

[tex]Expression = 54.75[/tex]

The result of the expression shows that the resulting value is less than 73.

Hence, Jean is correct

Answer:

Nerh they are not enough

Step-by-step explanation:

Depending on the number of people you want to sit at each table.

To avoid compression add more tables

Answer:

1. False

2. True

3. True

4. True

Step-by-step explanation:

1. 1. Vocabulary  What does the exponent in the expression [tex]5^{6}[/tex] tell you?

Answer: it means that [tex]5[/tex] is multiplied by itself [tex]6[/tex] times: [tex]5^{6} =5*5*5*5*5*5=15625[/tex]

1. 2. [tex]4*4=4^{2}=16[/tex]

The power is [tex]2[/tex] or square, notice how the geometric model is made out of dots forming a flat square.

1. 3. [tex]2*2*2*2=2^{3} =8[/tex]

The power is [tex]3[/tex] or cube, notice how the geometric model is a cube.

1. 4. [tex]9*9=9^{2}=81[/tex]

The power is [tex]2[/tex] or square, notice how the geometric model is a flat square.

2. 5. [tex]7^{2} =49[/tex]

2. 6. [tex](-2)^{4} = -2*-2*-2*-2=4*4=16[/tex]

2. 7. [tex](-2)^{5} =16*-2=-32[/tex]

2. 8. [tex]-(\frac{1}{2})^{4}=-(\frac{1^{4} }{2^{4}})=-(\frac{1}{16})=-\frac{1}{6}[/tex]

3. 9. [tex]81=9^{x}, \frac{81}{9} = 9,9*9=9^{2}[/tex]

3. 10. [tex]100000=10^{x} , \frac{100000}{10} =10000, \frac{10000}{10}=1000, \frac{1000}{10}=100, \frac{100}{10}=10,[/tex]

         [tex]10*10*10*10*10=10^{5}[/tex]

3. 11. [tex]-64 = -4^{x}, \frac{-64}{-4}=16, \frac{16}{-4}=-4, -4*-4*-4=-4^{3}[/tex]

3. 12. [tex]10 = 10^{x}, \frac{10}{10}=1, 10*1=10 =10^{1}[/tex]

3. 13. [tex]81 =3^{x}, \frac{81}{3}= 27,\frac{27}{3}=9, \frac{9}{3}=3, 3*3*3*3=3^{4}[/tex]

3. 14. [tex]36=-6^{x} , \frac{36}{-6}= -6, -6*-6=(-6)^{2}[/tex]

4. 15. Technology First week => [tex]3[/tex] hits, every week => the number of hits triples, means [tex]3^{3}[/tex], 5th week => hits every week * 5 = [tex]3^{3}*5=27*5=135[/tex] hits.

I apologize if there's any misspelling or wrong answer.

Answer:

x=4  

-5y+8x=-18        

linear combination:

cancel out -5y with 5y. combine 8x and 2x

5y+2x=58        

10x. combine -18 and 58 to get 40

10x=40    

40/10=4

x=4

-----

Hope this helps!! - Maddy  

(if this helps please make brainliest, rate, and thank so I know how I did!)

╰(*°▽°*)╯

Answer:

[tex] \boxed{ \huge{ \bold{ \boxed{ \sf{y = 3}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 5y - 25 = - 40}[/tex]

Move 25 to right hand side and change it's sign

⇒[tex] \sf{ - 5y = - 40 + 25}[/tex]

Calculate

⇒[tex] \sf{ - 5y = - 15}[/tex]

Divide both sides of the equation by -5

⇒[tex] \sf{ \frac{ - 5y}{ - 5} = \frac{ - 15}{ - 5} }[/tex]

Calculate

⇒[tex] \sf{y = 3}[/tex]

Hope I helped!

Best regards!!

Answer:

yes it is August 24, 2020

Step-by-step explanation:

please give brainiest

Answer:

Step-by-step explanation:

today is  Monday August 24th 2020

Answer:

Hey there!

No, one or more pairs of corresponding points have not moved the

same distance.

Let me know if this helps :)

Answer:

Step-by-step explanation:

S = 2πr² + 2πrh

To solve for h move 2πr² to the other side of the equation

That's

2πrh = S - 2πr²

Next divide both sides by 2πr in order to isolate h

That's

We have the final answer as

Hope this helps you

Answer:

p=5, q=1

Step-by-step explanation:

5-1=4, 5^2-1^2=24

25-1=24

24=24

I just guessed and checked the solution for the answer

Answer:

p + q = 6

Step-by-step explanation:

p² - q² ← is a difference of squares and factors as

p² - q² = (p - q)(p + q) , then

p² - q² = 4(p + q) = 24 ( divide both sides by 4 )

p + q = 6

Answer and explanation:

We know that this is in slope-intercept form. ( y = mx + b )

1/2 would be the slope (you would use this to graph the next point)

-4 would by your y-intercept (where the line crosses the x-axis)

With this information you could graph any point using the slope given, starting at -4 (x-axis) going down or up.

Answer:

hope this helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

AB + BC = AC

9x + 7  - 3x + 20 = 39    { combine like terms}

9x  -3x + 7 + 20 = 39

            6x + 27 = 39 {Subtract 27 from both sides}

                     6x = 39- 27

                      6x = 12   {divide both sides by 6}

                    6x/6 = 12/6

x = 2

Answer:

x = (5 + √73) / 4 or (5 - √73) / 4

Step-by-step explanation:

2x² - 5x - 6 = 0

x = [5 ± √(25 - 4(2)(-6)] / 2(2)

x = [5 ± √(25 + 48)] / 4

x = [5 ± √(73)] / 4

x = (5 + √73) / 4 or (5 - √73) / 4)

Answer:

C

Step-by-step explanation:

The domain is the input values

A has an input of 2

B has an input of all real values

D has an input of 1,0,2,6

C has an input of -4,-2,2,4