In the diagram if AE = AB, find the area shaded.

In The Diagram If AE = AB, Find The Area Shaded.

Answers

Answer 1

Answer:

Area shaded = 60 [tex]cm^{2}[/tex].

Step-by-step explanation:

From the given diagram,

Area shaded = Area of the trapezoid EBCD

Given that: AE = [tex]\frac{1}{3}[/tex]AB

                        =  [tex]\frac{1}{3}[/tex] x 12    (∵ AB = CD = 12 cm)

                        = 4 cm

                  AE = 4 cm,

Thus,

EB = (12 - 4) cm

    = 8 cm

EB = 8 cm

Area shaded = [tex]\frac{1}{2}[/tex] (EB + CD) x AD

                     =  [tex]\frac{1}{2}[/tex] (8 + 12) x 6

                     = (20) x 3

                     = 60

Area shaded = 60 [tex]cm^{2}[/tex]


Related Questions

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Answer:

a) x=7

b) x=4

c) x= 1/9

I hope this helps! Do you need more help?

Hi it's Mia! '^' Give the other person brainliest, They worked hard to get the answer you needed! Have a wonderful day! :)

I want to know the answer for 7×2-4÷2+1​

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Answer:

13

Step-by-step explanation:

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Subtract. 549 -176 Enter the answer in the box.​

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Answer:

373

Step-by-step explanation:

Answer:

373

Step-by-step explanation:

6(x+4)+1= pleaseee help

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The answer is this I think 6x+25

Solve for x
Solve for BCF
Solve for CFE
Solve for CFG

Answers

Answer:

13x+23x=180[co interior angle♧

36x=180

x=5°

then,

<BCF=13X=13×5=65°

<CFE=23X=23×5=115

<CFG=<BCF[alternating angles]

<CFG=65°

Answer:

13x+23x=180[co interior angle♧

36x=180

x=5°

Step-by-step explanation:

-5x2y - 3x4
What’s the answer
You have to multiply properties of exponents and simplify it

Answers

Answer: -2x(5y+6)

Step-by-step explanation:

PLEASE HELP!! (Look at the picture)

Answers

The answer is
D.13
13+0=13

There are 50 teens in a work program. The circle graph shows the percentage of workers who have 0, 1, 2, 3, and 4 siblings.

How many teens in the program have one sibling?

Answers

Answer:

The answer would be that 14 teens have one sibling.

4(x-5)=10(x-10)

solve for x

Answers

Answer:

40/3

Step-by-step explanation:

4x -20 = 10x -100 (Distributive Property)

4x -10x = -100 +20 (I swith the numbers so all of them are similar)

-6x= -80 (Divide -6 on both sides)

And you will get 40/3 or 13.3333..

Answer:

x = 40/3

Step-by-step explanation:

4(x-5)=10(x-10)

=> 4x - 20 = 10x - 100

=> 4x - 10x = - 100 + 20

=> -6x = -80

=> x = 80/6

=> x = 40/3

For (triangle)DEF, you are required to construct the median DG to EF. Which of the following must be performed first?

A. Draw EF to DG.

B. Draw DG to EF.

C. Bisect DE at G.

D. Bisect EF at G.

Answers

Answer: C. Bisect DE at G.

Step-by-step explanation:

In a triangle, a median is a line segment drawn from a vertex to the midpoint of the opposite side of the vertex.

So, for triangle DEF , if we draw the median DG to the opposite side EF.

Here EF is the opposite side to vertex D.

So, G must be the midpoint of line segment EF.

So , we need to first mark G on EF.

i.e. we need to bisect EF at G.

So first step would be : Bisect EF at G.

Work out angle BXC.
Give a reason for each angle you work out.

Answers

Answer:

∠ BXC = 70°

Step-by-step explanation:

∠ XBC and ∠ AXY are corresponding angles and are congruent, then

∠ XBC = 55°

Since XB = XC , then Δ XBC is isosceles and the 2 base angles are congruent.

∠ BXC = 180° - (55 + 55)° ← angle sum of triangle

∠ BXC = 180° - 110° = 70°

The measure of angle BXC is 70°

What s transversal?

"It is a line that passes through two lines in the same plane at two different points."

What are parallel lines?

"These are the lines in the same plane that are at equal distance from each other and never meet."

What are isosceles triangle?

"It is a triangle having any two sides equal in length."

For given example,

We can observe that XY and BD are parallel lines and AB is the transversal.

Here,

∠AXY = ∠XBC                                  ..............(Corresponding angles)

⇒ ∠XBC = 55°

In figure, for ΔXBC the sides XB and XC are equal.

So, ΔXBC is an isosceles triangle.

We know, for isosceles triangle, angles opposite to equal sides are equal in measure.

⇒ ∠XBC = ∠XCB

⇒ ∠XCB = 55°

We know, the sum of all angles of the triangle is 180°.

⇒ ∠XBC + ∠XCB + ∠BXC = 180°

⇒ 55° + 55° + ∠BXC = 180°

⇒ 110° + ∠BXC = 180°

⇒ ∠BXC = 70°

Therefore, the measure of angle BXC is 70°

Learn more about the angles formed by parallel line and transversal here:

https://brainly.com/question/15464186

#SPJ2

Write an equation of the line with a slope of
-
and y-intercept of -6.
y

Answers

Answer:

Y = mX+C

Y =mX-6

Y =m(0)-6

Y = -6

the line passes through origin so

X=0

(0,6)

If x = -1, then which of the following inequalities makes a true statement?
A. -4x + 9 > 20
B. -4x – 5 < -15
C. -3x + 15 ≤ 18
D. -5x – 15 ≤ -22

Answers

Answer:

It is C  

Step-by-step explanation:  

Move all terms that don't contain x to the right side and solve.

What is the price of a $35 basketball that is on sale for 50% off.

Answers

Answer:

$ 17.5

Step-by-step explanation:

A product that is on 50% sale is half of its original cost. Hence a basketball that is 50% off is half of 35, or 17.5.

You would do 35 divided by 2.So, 50% of 35 is 17.5

(4x^2y)^2 · 2(7(3))^4

Answers

I hope this helps .

The length of a rectangle is twice the width. An equation that models the perimeter of the rectangle is 2w+4w=36 where w is the width of the rectangle is ft. What are the length and width of the rectangle?

Answers

Answer: 12

Step-by-step explanation:

Let w = the width of the rectangle

Let 2w = the length

P = 2l + 2w

36 = 2(2w) + 2w

36 = 4w + 2w

36 = 6w

w = 6

l = 2(6)

l = 12

Answer:

shes right the person ahade of me

A line with a slope of 1/3 passes through (-5,r) and (4,1).
To make this work correctly, the value of r=

Answers

Answer: Add the 1/3 to look for the r


can someone help me im looking for the the x

Answers

Answer:

x = 4√5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is one legb is another legc is hypotenuse

Step-by-step explanation:

Step 1: Identify Variables

a = 19

b = x

c = 21

Step 2: Solve for x

Substitute [PT]:                    19² + x² = 21²Isolate x term:                      x² = 21² - 19²Exponents:                           x² = 441 - 361Subtract:                               x² = 80Isolate x:                               x = √80Simplify:                                x = 4√5

WILL MARK BRAINLIEST TO THE BEST ANSWERS. The interior angles of a pentagon measure x°, (2x)°, (2.5x)° , (x + 10)° , and (2x + 20)°. Determine the value of x. PLEASE SHOW ALL SOLUTIONS NESSICARY. THANK YOU.......

Answers

Answer:

x=60

Step-by-step explanation:

The sum of interior angles of a regular Pentagon is 540°

x+2x+2.5x+x+10+2x+20=540

8.5x=540-30

8.5x=510

x=510/8.5=60

Answer:

x = 60°

Step-by-step explanation:

Sum of interior angles of a regular polygon is:

180°(n-2)

Pentagon has 5 sides, so sum of angles is:

180°(5-2) = 180°*3 = 540°

For the given pentagon we have sum of angle measures as below, and solving for x:

x + 2x + 2.5x + (x +10) + (2x + 20) = 540°8.5x + 30° = 540°8.5x = 510°x = 510°/8.5x = 60°

please help i need this asap

Answers

It the punquation of ratio b

Answer:

Step 1

Step-by-step explanation:

He didn't distribute the 5 to the 3 inside the parentheses in the first term, or the 2 to the 2 in parentheses in the second term. If he had distributed right, the equation would be 10x-15+14x+4-23

wich multiple of 7 is greater than 45 and less than 50​

Answers

Answer:

49

Step-by-step explanation:

7*7=49

-15=15+F


plzzzzzzzzz help me

Answers

-15=15+F
-15 -15
-25=f

A helicopter travels 640 miles in 4 hours and 960 miles in 6 hours. Find the slope in miles per hour.

Answers

Answer:

160 miles per hour

Step-by-step explanation:

640/4=160

960/6=160



Judith received the following amounts of money for doing chores: $5, $7, $3.50, $5, and $8. Give the mean, median, mode, and
range for her earnings.

Answers

Answer:

Step-by-step explanation:

will Mark brainliest if correct.

Answers

Answer:

SF = 7/3

Step-by-step explanation:

Like the problem hint says, you want to put the new coordinate over the old one to find the scale factor. We'll use both x and y.

-7/-3 = 7/3

14/6 = 7/3

Therefore, the scale factor is 7/3.

I NEED HELP WIT MATH!!!!!!!!!!

Answers

y -int. 8

x -int. -6

basically you just take the number beside x or y and divide it by the number that is behind the equal sign.

Answer:

x-intercept= -6 & y-intercept = 8

Step-by-step explanation:

To find the intercepts you just have to put the opposite value as 0 in the equation.

X-intercept:

-4x + 3(0) = 24

Y-intercept:

-4(0) + 3y = 24

Everything times 0 is 0, so it cancels out.

Then it is just simple dividing.

Future reminder:

Just remember this (x,y)

-X-intercept point (?,0)

-Y-intercept point (0,?)

? = any number

Number 33 WILL GIVE BRAINLIEST ANSWER QUICKLY

Answers

Answer:

A

Step-by-step explanation:

67/20   improper fraction when changed to a mixed number is

3 7/20

that is equal to

3 14/40

A zoo keeper wants to fence a rectangular habitat for goats. The length of the habitat should be at least 80 feet and the perimeter of the habitat should be no more than 300 feet


Write a system of linear inequality:___________


Please help!! It’s due within 20 minutes!! Please..

Answers

Answer:

Step-by-step explanation:

Let x ft be the length of the fence and y ft be the width of the fence.

1. The length of the habitat should be at least 80 feet, then

2. The perimeter of the habitat should be no more than 300 feet. The perimeter of the fences 2x+2y ft, then

3. The system of inequalities that represent the model is

The graph of these inequalities is attached.

Two possible solutions are

1. x=100 ft, y=20 ft (100≥80 and 2·100+2·20=240≤300);

2. x=110 ft, y=30 ft (110≥80 and 2·110+2·30=280≤300).

A number pattern was created by dividing the previous term by 3. If the starting value for the pattern was 135, which of the following shows the resulting pattern?
A.
135, 45, 30, 5...
B.
135, 45, 15, 5...
C.
135, 45, 15, 2...
D.
135, 45, 30, 25...

Answers

Answer:

B. 135, 45, 15, 5...

Step-by-step explanation:

I'll go in order from 135 using the pattern shown (tᵇ/3)

135 / 3

135 = 120 + 15

135/3 = (120/3) + (15/3)

135/3 = 40 + 5

135/3 = 45

All four answer choices show this, so no elimination yet.

45 / 3

45 = 30 + 15

45/3 = (30/3) + (15/3)

45/3 = 10 + 5

45/3 = 15

A and D show 30 as term 3, so they are out.

15 / 3

15/3 = 5

C shows 2 as term 4, so that is also out.

This leaves B as the correct answer.

Find the measure of each numbered angle

Answers

1:81 Degrees
2:109 Degree
3&4:90 Degrees

Answer:

1. 71 degrees    2. 109 degrees    3. 90 degrees     4. 90 degrees

Step-by-step explanation:

109 + 71 = 180 (straight line)

so the other side (under) of 109 degrees is 71 degrees. That angle is the same angle as 1 because that same line (transversal)  runs through both parallel lines.

The angle diagonal from 2 is 109 because it mirrors the same measurements as the one on the left. Angle 2 is the same angle as 109 degrees because it's a vertical angle. All vertical angles are equal.

Because the same line on the bottom runs through the parallel lines then the same angles apply to both on the bottom. The right one is a 90 degree angle

which makes both 3 and 4 90 degrees because 90 + 90 equals a straight line 180 degrees.

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