18) PB = 8. Find PA.

Answer:

1. x = 5

Step-by-step explanation:

1.

The Trapezoid Midsegment Theorem states that a line segment connecting the midpoints of the legs of the trapezoid is parallel to the bases, and equal to half their sum.

In this problem you can see that 5x - 1 is the midsegment of the trapezoid, so using the rule:

[tex](21 + 27) / 2 = 5x -1[/tex]

solve:

[tex]48/2 = 5x-1\\24 = 5x - 1\\25 = 5x\\x= 5[/tex]

2. Diagonals are congruent

You can see in this picture that the diagonals are not always congruent:

Answer:

[tex]\sqrt{29} ,6,2\pi ,3\sqrt{8}[/tex]

Step-by-step explanation:

Hello there!

First lets find the value of each irrational number

[tex]6 = 6\\\\\sqrt{29} =5.385164807\\\\2\pi =6.283185307\\\\3\sqrt{8} =8.485281374[/tex]

now we can easily put them in order from least to greatest

5.3,  6,   6.2,  8.4

then we change it to its irrational form

so the correct order would be

[tex]\sqrt{29} ,6,2\pi ,3\sqrt{8}[/tex]

Answer:

your answer will be Option D

Step-by-step explanation:

hope it helps

Answer:

Refer to explanation^

Step-by-step explanation:

Find out the value of each card.

4 - 10 = 6

-4 + (-10) which is -4 - 10 = -14

-4 + 10 = 6

4 + (-10) which is 4 - 10 = -6

4 - (-10) which is 4 + 10 = 14

-4 - 10 = -14

-4 - (-10) = -4 - 10 = -14

4 + 10 = 14

Find the cards which have the same value and just match them up.

The answer is 21.

Hope this helps. Have a nice day.

Answer:

Answers are down below!! ;)

Step-by-step explanation:

1. 7  :  4

  7 or 4

  7 to 4  

2. You will need 20 cups of milk.

ratio = 35:20

explanation: 35/7 = 5 and 4 x 5 =20

Bar diagram: (sorry it looks messy)

cups of flour l____________________________________________

cups of milk  l_____________________

                     _________________________________________________

                     2   4  6  8  10 12  14  16  18  20  22  24  26  28  30  32  34  36  38..

-----------------------------------------------------------

Hope this helps!! ;)

Answer:

x = 4

b = 7

n = 40

I hope this helps!!!

Step-by-step explanation:

1) 12x-17 = 6x+7

        +17       +17

*do this because you want to get all of the variables to one side and all of the constants to one side*

12x = 6x + 24

-6x    -6x

6x = 24

*divide by 6 to get x alone, so you 24/6 = 4*

x = 4

2) -8b+1 = -5(b+4)

*must multiply -5 by everything in the parenthesises*

-8b+1 = -5b-20

     -1           -1

-8b= -5b-21

+5b  +5b

-3b = -21

b = 7

3) 350+10(n-7) = 630+2(n-15)

350+10n-70 = 630+2n-30

*combine like terms on both sides of the equation*

280+10n = 600+2n

-280           -280

10n = 320+2n

-2n            -2n

8n = 320

n = 40

Answer:

d = 9.84 m

Step-by-step explanation:

The dimensions of an envelope are 9 inches by 4 inches.

We need to find the maximum possible length of the pencil.

Let it be d. It can be calculated using Pythagoras theorem such that,

[tex]d=\sqrt{9^2+4^2} \\\\d=9.84\ m[/tex]

So, the maximum possible length of the pencil is 9.84 m./

Answer:

x=−0.292355

Step-by-step explanation:

Answer:

9x/y³

Step-by-step explanation:

The simplification of the expression 9x⁰y⁻³ will be 9/y³.

Index (indices) in Maths is the power or exponent which is raised to a number or a variable.

In another word the mathematics of power or exponent of any number is called indices.

As per the given expression,

9x⁰y⁻³

By the law of indices that, [tex]x^{-m}[/tex] = 1/[tex]x^{m}[/tex]

9x⁰y⁻³ = 9x⁰ × 1/y³

⇒ 9(1)/y³ = 9/y³

Hence "The simplification of the expression 9x⁰y⁻³ will be 9/y³".

To learn more about indices,

https://brainly.com/question/170984

#SPJ2

Answer:

g ≤ 56

Step-by-step explanation:

56 + 14 ≤ 70

70 ≤ 70

Answer:

Step-by-step explanation:

c=.2, z=1.5(.2), n=1.5(1.5).2

s+c+z+n=1

s+.2+1.5(.2)+1.5(1.5).2=1

s+.2+.3+.45=1

s+.95=1

s=.05

So Sophia ate 5% of the pizza

Answer:

Sophia ate 5%.

Step-by-step explanation:

Caden ate 20%. Zoe ate 50% more than him, so 150% of 20%. That is 20+half of 20, which is 30. So zoe ate 30%. Noah ate 50% more than her, so 150% of 30%, which is 45%. Add them together and get 95%. That leaves 5% for Sophia to eat.

Answer:

25% percent

Step-by-step explanation:

3x = 15

x = 15/3

x = 5

Answer:

x = 5

Step-by-step explanation:

3x = 15

x = 15/3

x = 5

Answer:

8:5. 16:10

Step-by-step explanation:

5 was doubled so you would double 8 aswell

Answer:

C=10

Step-by-step explanation:

A^2 + B^2 = C^2

A=6

B=8

C=?

A^2=36

B^2=64

C^2=100

Answer:

3

Step-by-step explanation:

The highest degree amount or exponet amount is the power of a equation.

3 is the highest exponet so it is 3.

Answer:

Step-by-step explanation:

Answer:

the answer will be 56ef i guesss...

The value of given product is 56ef.

Here,

We have to simplify; 7 x e x f x 8.

What is the product?

When we multiply two numbers, the answer is called the Product.

Now,

The expression is,

⇒ 7 x e x f x 8

After product we get;

⇒ 7 x e x f x 8 = 56ef

Hence, The value of given product is 56ef.

Learn more about the product visit:

https://brainly.com/question/28101687

#SPJ2

Answer:

Required equations:

Solve by substitution x = 8 - y

Find x:

Answer: 5 adults and 3 students

Equations:

Solve by elimination, subtract the equations:

Find x:

Answer: Gloves cost $8.5, hats cost $6.5

Answer:

p=25 degrees

Step-by-step explanation:

70 and 20+2p are verticle angles, so they are equal

70=20+2p

-20-20

50=2p

/2   /2

25=p

Answer:

p = 25 degrees

Step-by-step explanation:

2p = 70 - 20

2p = 50

p = 50 / 2

p = 25

Hope that helps!

Answer:https://brainly.com/question/22157981

Step-by-step explanation:

https://brainly.com/question/22157981

Answer:

Plug in a 3 every time you see an "x" and the left side should equal the right side

Step-by-step explanation:

Answer:

by poop needs 5 more poin

Answer:

domain: (4, 1, 0, -1, 1)

range: (2, 3, 0, -1, -3)

Step-by-step explanation:

domain: x-values

range: y-values

Answer:

Domain: {-1, 0, 1, 4}       Range: {-3, -1, 0, 2, 3}

Step-by-step explanation:

Hi there,

To find the domain, list all of the x values and put them in numerical order. Don't repeat the same numbers.

Do the same thing for the y values when finding the range.

Hope this helps. Cheers.

Answer:

the answer is c!

Step-by-step explanation:

Answer:

-957

Step-by-step explanation:

... -915, -929, -943, -957, -971, -985, -999 ...

The formula for calculating annual insurance premiums is: D. p = 2rb.​

Insurance premium can be defined as an insurance coverage that help to cover expenses incase of unforseen circumstance thereby saving cost.

Annual insurance premium is the amount that a person pays to an insurance company annually which will serve as an insurance coverage.

Inconclusion the formula for calculating annual insurance premiums is: D. p = 2rb​.

Learn more about insurance premium here:https://brainly.com/question/25855858