In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving AEC ≅ DEB, given that CA is parallel to DB and E is the midpoint of AD. Submit the entire proof to your instructor.
Given:
CA || DB
E is the midpoint of AD
Prove:
AEC ≅ DEB

Answer: -4

Step-by-step explanation:

[tex]\frac{a}{4} +3=2[/tex]

Start by subtracting 3 from both sides

[tex]\frac{a}{4} +3=2\\\frac{a}{4} +3-3=2-3\\\frac{a}{4} =-1[/tex]

Now multiply each side by 4

[tex]\frac{a}{4} =-1\\\frac{a}{4}(4) =-1(4)\\a =-4\\[/tex]

Answer:

3,680 cubic feet

Step-by-step explanation:

Answer:

Side length ( perpendicular = 60 cm)

Hypotenuse = 61 cm

Base length

By Pythagoras theorem ,

Hypotenuse² = Perpendicular² + Base²

61² = 60² + base²

3721-3600 = Base²

√121 = base

11cm = base

Answer:

Step-by-step explanation:

In the question we are given ,

And we have asked to find the length of base that is denoted by x .

Solution : -

According to Pythagoras Theorem ,

[tex] \longrightarrow \purple{\boxed{H {}^{2} = P {}^{2} + B {}^{2} }} \longleftarrow[/tex]

Where ,

Now , substituting value of hypotenuse, perpendicular and base :

[tex] \hookrightarrow \: 61 {}^{2} = 60 {}^{2} + x {}^{2} [/tex]

Now by squaring 61 and 60 , we get :

[tex] \hookrightarrow \:3721 = 3600 + x {}^{2} [/tex]

Now transposing 3600 to left hand side :

[tex] \hookrightarrow \:3721 - 3600 = x {}^{2} [/tex]

Now subtracting 3600 from 3721 :

[tex] \hookrightarrow \:121 = x {}^{2} [/tex]

[tex] \hookrightarrow \: \sqrt{121} = x[/tex]

We know that 11 × 11 is equal to 121 that means square root of 121 is 11 . So :

[tex] \hookrightarrow \: \red{ \boxed{11 \: cm = x}}[/tex]

Answer:

y is the same as 1y. so 9y + 1y = 10y

Answer:

Step-by-step explanation:

Like terms have same variable with same power.

If so, just combine the coefficient of the variables.

9y + y = (9 + 1)y

           = 10y

Answer:

55°

Step-by-step explanation:

I hope that helps

Answer:

i belive it is c. -5.4

Step-by-step explanation:

because as the temperature increases in the negative zone you are also decreasing the momentary value of that number so -3.4 is greater than -5.4 (facts)

Does it tell you to make up your own problem situation or to choose from, if it asks you to choose from the provided then you didnt send the screenshot properly send it again and I will help you answer it but in case it asked you to make upyour own problem situation heres the answer:

Step-by-step explanation:

John has built houses on 59.48 acres of land, his dad had given him 300 acres of land before passing, john plans on building a lot more houses this year. X is the amount of acres of land he will use to build the house in addition to the 59.48 acres of land already used to build houses previously, combined they can equal a maximum of 300 acres because thats all he has.

Answer: The Beneficiaries will get 24,000 dollars in total  

Step-by-step explanation:

1.) Step one is you would have to divide 40,000 by 60 because that will be how much they would get

2,) Step two is box you answer  

Answer:

2/7

Step-by-step explanation:

there are 2 gray prices out of 7

Answer: C

Step-by-step explanation:

hope this helps

Answer:

[tex]\frac{9}{2}[/tex]

Step-by-step explanation:

cup of mayo used for 5 servings =  [tex]\frac{3}{4}[/tex]

cup of mayo used for 1 servings = [tex]\frac{3}{4}*\frac{1}{5}=\frac{3}{20}[/tex]

cup of mayo needed for 30 servings=  [tex]\frac{3}{20}*30=\frac{9}{2}[/tex]

Answer: im pretty sure it would be in the 2nd quadrant. cause its -1.9, -2 so that i think is in 3rd quadrant so reflected woud be in 2nd quadrant

hope this makes sense

Answer:

Quadrant 1

The since both of the coordinates are negative, they'll take place in Quadrant 3, so if it was the opposite (mirrored), they would both be positive making them be in Quadrant 1.

[tex]\tt \dfrac{7}{31}=0.226~hours/dollar[/tex]

You can split up the length of AE into the lengths of the line segments connecting adjacent points:

AE = AB + BC + CD + DE

Plug in everything you know and solve for DE :

9 = (2 1/2) + (4 1/3) + (1 2/3) + DE

Rewrite the mixed numbers as improper fractions with a common denominator.

2 1/2 = 4/2 + 1/2 = 5/2 = 15/6

4 1/3 = 12/3 + 1/3 = 13/3 = 26/6

1 2/3 = 3/3 + 2/3 = 5/3 = 10/6

9 = 54/6

So we have

54/6 = 15/6 + 26/6 + 10/6 + DE

⇒   DE = (54 - 15 - 26 - 10)/6 = 3/6 = 1/2

(It looks as though you will need to enter 1 in the top box and 2 in the bottom one)

The length XY of the circle X is the radius of the circle

The length of XY is 9 units

The parameters are given as:

The length of arc is calculated using:

L = Ф/360 * 2πr

Where:

So, we have:

5π = 100/360 * 2πr

Evaluate the quotient

5π = 5/9 * πr

Divide both sides by 5π

1 = 1/9 * r

Multiply both sides by 9

r = 9

This means that

XY = r = 9

Hence, the length of XY is 9 units

Read more about arc lengths at:

https://brainly.com/question/23865630

Answer:

I'm pretty sure its Stretches and Compressions.

Step-by-step explanation:

Answer:

B) -2⅛

Step-by-step explanation:

All other options are irrational

Answer:

28390

Step-by-step explanation:

If you take 10*5678=28390

Answer:

840.

Step-by-step explanation:

LCM of 5 6 7 and 8,

Write out the prime factors of each number.

5 = 5

6 = 2*3

7 = 7

b = 2*2*2

So the LCM =  2*2*2*3*5*7

= 840.

Answer:

Step-by-step explanation:

$40 - $18.25 = $21.75

she has $21.75 to buy the paper with

21.75 divided by 0.34 is 63.971...

this means she only has enough money to buy 63 sheets of paper

leaving her with only 33 cents

In other words , the LCM of 5 , 18 , 25 and 27 can be made a perfect square if it is multiplied by 2 × 3 .

The least perfect square greater that the LCM ,

☞︎︎︎ 2 × 3³ × 5² × 2 × 3

☞︎︎︎ 2² × 3⁴ × 5²

☞︎︎︎ 4 × 81 × 85

☞︎︎︎ 100 × 81

☞︎︎︎ 8100

8100 is the least perfect square which is exactly divisible by each of the numbers 5 , 18 , 25 , 27 .

Isolate the absolute value term:

4 |x + 5| + 8 = 24

4 |x + 5| = 16

|x + 5| = 4

By definition of absolute value,

• if x + 5 ≥ 0, then |x + 5| = x + 5, and so

x + 5 = 4

x = -1

• otherwise, if x + 5 < 0, then |x + 5| = -(x + 5), and so

-x - 5 = 4

-x = 9

x = -9

Answer:

BELOW

Step-by-step explanation:

OK so AC is 18, since both of those sections are 9, and 9+9=18.

But for AG im kind of stuck. At first I thought it was 11 but then just by looking at it you can see that they aren't the same length(I mean AG and GC) so I don't know about that one.

heres what I THINK it could be

GF and GD COULD BE the same length, considering that this is a 3d shape.

So, since AGF is a right triangle, we can use pythagorem. theorem.

7^2+9^2=x^2

49+81=x^2

130=x^2

x==11.40

MAYBE AG=11.40.

i tried my best sorry

Answer:

Step-by-step explanation:

Remark

This is just a matter of adding 2 fractions and reducing the result

Givens

f1 = 3/12

f2 = 1/12

Equation

Answer = f1 + f2

Solution

answer = 3/12 + 1/12

The denominators are the same. The answer will have the same denominator

Answer = (3 + 1)/12

Answer = 4 / 12

The answer has a common factor in both the top and bottom of the fraction (4 is the common factor).

Therefore divide the top and bottom by 4

Answer = 4/4 // 12/4

Answer = 1 / 3

Answer:

[tex]\frac{2y-1}{3y+1}[/tex]

Step-by-step explanation:

[tex]\frac{2-\frac{1}{y} }{3+\frac{1}{y} }[/tex] ( multiply numerator and denominator by y to clear the fractions )

[tex]\frac{2-\frac{1}{y} }{3+\frac{1}{y} }[/tex] × [tex]\frac{y}{y}[/tex]

= [tex]\frac{2y-1}{3y+1}[/tex]

Answer:

It is not possible.

Step-by-step explanation:

The triangle is impossible to create because of the Triangle Angle Sum Therom, which states that all 3 angles in a triangle must = 180 degrees. As they haven given us 75 degrees, and 115 degrees 75+115=190 Which is more then 180, Hence it is not possible.

Step-by-step explanation:

Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.

[tex]3 \frac{1}{2} \times 2 \times 9 \frac{1}{3} \\ = 45.5556[/tex]

mark it Brainiest please