BE||CD. Find the value of x and AC.

BE||CD. Find The Value Of X And AC.

Answers

Answer 1

Answer:

x = 4.8

AC = 16.8

Step-by-step explanation:

From the picture attached,

In ΔABE and ΔACD

BE║CD, and the AC and AD are the transversal lines.

∠ABE ≅ ∠ACD [Corresponding angles]

∠AEB ≅ ∠ADC [Corresponding angles]

ΔABE ~ ΔACD [By AA property of similarity of two triangles]

And by the property of similar triangles, corresponding sides of the similar triangles are always proportional.

[tex]\frac{\text{AC}}{\text{AB}}=\frac{\text{AD}}{\text{AE}}[/tex]

[tex]\frac{x+12}{12}=\frac{10+4}{10}[/tex]

[tex]\frac{x+12}{12}=\frac{14}{10}[/tex]

10(x + 12) = 12 × 14

10x + 120 = 168

10x = 168 - 120

x = 4.8

AC = x + 4.8

     = 12 + 4.8

     = 16.8


Related Questions

Need help for this problem

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Answer:

161 degrees

Step-by-step explanation:

corresponding angles theorem

Answer:

161

Step-by-step explanation:

if g and h are parallel, angle 4 and 161 are the same

is the relation a function? explain ​

Answers

Answer:

Yes the input x is only used once all the first numbers are different

Step-by-step explanation:

11,7

22,7

15,8

Yes because each input only has one output

Each x has only one y

HELP ME FAST PLZZ!!!! I REALLY NEED HELP!!! 20 POINTS PLZ HELP

Answers

Answer:

you didnt add the options of what the drop downs were for

Step-by-step explanation:

what is the value of f(x)=2/3x + 4 when x = 9

Answers

Answer:

10

Step-by-step explanation:

Given

f(x) = [tex]\frac{2}{3}[/tex] x + 4 ← substitute x = 9

f(9) = [tex]\frac{2}{3}[/tex] × 9 + 4

     = 2 × 3 + 4

     = 6 + 4

     = 10

The question I have is 17x5x8+15

Answers

Answer:

695

Step-by-step explanation:

[tex]17*5*8+15\\=17*40+15\\=680+15\\=695[/tex]

Let a = 8i + 2j, b = –3i + j, and c = 2i – 5j, where i and j are unit vectors.

What is 4a + 2b – 9c in terms of i and j?

8i – 35j
8i – 2j
8i + 53j
8i + 55j

Answers

Answer:

D

Step-by-step explanation:

The value of the vector (4a + 2b – 9c) as per scaler multiplication of vector method is 8i + 55j.

What is vector?

A vector is a physical quantity that has both magnitude and direction.

What is unit vector?

A vector that has magnitude of 1 is called unit vector.

Given, a = 8i + 2j, b = –3i + j, and c = 2i – 5j.

In order to find the value of the vector (4a + 2b – 9c) in terms of i and j, we need to perform scaler multiplication of vector.

Here, i and j are unit vectors.

Therefore: (4a + 2b – 9c)

= 4(8i + 2j) + 2(–3i + j) - 9(2i – 5j)

= (32i + 8j - 6i + 2j - 18i + 45j)

= (8i + 55j)

Therefore, Option(D) is correct answer.

Learn more about vector here: https://brainly.com/question/25544738

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45 divided by 6x45(9-7)=?

Answers

12





....................

Answer:

337.5

Step-by-step explanation:

Can someone help me with this question? I am willing to give brainliest + 20 points. Please explain WHY you think this answer is correct so I can have a better understanding.

Answers

Answer:

The third

I think its the third because everyone added to the left is -2 from the right

Answer:

The answer is A becuase the initial value is what y is when x = 0 and if you see the pattern between 10 and 8 and also 8 and 6 you see the rate of change is -2. Just add 2 to y when x = 1 so 10 + 2 is 12 which gives the answer A.

Step-by-step explanation:

the length of the floor is 32 m longed than it’s witdth and there is greater than 200 square meters. You will cover the floor completely with tiles. what will be the possible dimension of the floor?

with solution po sana ty pooooo

Answers

Answer:

Step-by-step explanation:

The area of the floor A = Length * Width

Given

A = 200 square meters

If the length of the floor is 32 m longed than it’s width then;

L = 32+W

A = LW

200 = (32+W)W

200 = 32W + W²

W²+32W-200 = 0

W = -32±√32²+800/2

W = -32±42.71/2

W =  -32+42.71/2

W = 10.71/2

W = 5.35 m

L = 32+5.35

L = 37.35m

Hence the dimension is  5.35ft by 37.35m

List the set or sets to which each number belongs

Answers

Ummmmm.......you didn’t post a pic my guy

jadas turtle walked 10 feet then half that length

Answers

Answer:

he walked 15 feet in total

Step-by-step explanation:

I'm not sure if u asked a question or not

Please help!!
What is the maximum value of 3x + 5y in the feasible region?
(3, 7)
(0,7)
(6, 3)
(6, 0)

Answers

Answer:

Minimum value is 18

It occurs at P(6,0)

Step-by-step explanation:

The given objective function is  

The vertices of the feasible region are .

We plug in the vertices in to feasible region and evaluate to obtain,

 P(0,7) = 3(0) + 5(7)

P(0,7) = 0+35

P(0,7) = 35

P(3,7) = 3(3) + 5(7)

P(3,7) = 9+35

P(3,7) = 44

P(6,3) = 3(6) + 5(3)

P(6,3) = 15+15

P(6,3) = 33

P(6,0) = 3(6) + 5(0)

P(6,0) = 18+0

P(6,0) = 18

Please help and answer

Answers

Answer:

B) 4(6x) and 24x are equivalent.

I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking as Brainliest. Have a great day!

A rectangle has a length that is 3 more than twice the width. It's perimeter is 96 inches

Answers

Answer:

L=33in

W=15in

Step-by-step explanation:

Step one:

given

let the width be x

W=x inches

L= 2x+3 inches

perimeter= 96inches

Step two:

Required

the dimensions of the rectangle

The perimeter is

P=2L+2W

96=2(2x+3)+2(x)

open bracket

96=4x+6+2x

collect like terms

96-6=6x

90=6x

divide both sides by 6

x=90/6

x=15 in

The width is 15 in

The length

L=2x+3

L=2(15)+3

L=30+3

L=33in

Answer:

2 (w) + 2(2w + 3) = 96

Step-by-step explanation:

what is the slope of (7,-8) and (9,9).....

Answers

The answer is in the picture hope that helps

Answer:

(7,8) = 0,0) (−6,6)

(5,4) (−9,7)

(0,1) (1,0)

(9,9) = (0,9) (8,6)

(−5,9) (3,0)

(1,−2) (3,6)

she uses 2/3 cup of sugar to make 1/4 sheet cake.how much sugar would she need to make a full sheet cake?​

Answers

Answer:

Answer: B 2 2/3 mark em brainliest plz

Step-by-step explanation:

2/3 + 2/3+2/3+2/3= 2.66 also 2 2/3 2/3 times 4= 2 2/3

one day less than three weeks is how many days?

Answers

Answer:

21

Step-by-step explanation:

multiply 7 by 3=

7x3=21

Elena wants to make a scale drawing of her bedroom using the scale 4cm to 1m. If Wall A in the drawing is 10 cm long, what is the actual length? *

Answers

Answer:

2.5m

Step-by-step explanation:

Label the parts of the graph listen item bank or some important labels for sections of the image below to find out more information about labels some have more details available when you click on them drag and drop each label to the corresponding area it identifies in the image

Answers

Answer:

The point in the middle at (0,0) is the origin. The line that goes up and down is the y-axis. The lign that goes left to right is the x axis. The y intercept is at (0,-5). The x intercept is at (6,0).

Step-by-step explanation:

The answer is attached.

What are intercepts?

The point where the line or curve crosses the axis of the graph is called intercept.

xy-axes:- The x and y-axis are two important lines of the coordinate plane. The x-axis is a horizontal number line and the y-axis is a vertical number line.

xy-intercepts:-

If a point crosses the x-axis, then it is called the x-intercept. If a point crosses the y-axis, then it is called the y-intercept.

For more references on intercepts, click;

https://brainly.com/question/14180189

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Write the square root for each number

Answers

Step-by-step explanation:

7=2 8=12 10=10 11=9

Answer:

√(4) is 2

√(100) is 10

√(144) is 12

√(81) is 9

2,996 ÷ 11
What is the quotient and remainder

Answers

Answer:

2,996 ÷ 11 = 272.36

Step-by-step explanation:

Two angles are complementary. The measure of one angle is 15 ° more than twice the other. What is the measure of the smaller angle? 1) 25 ° 2) 35 ° 3) 55 ° 4) 65 °​

Answers

Answer:

1) 25 °

Step-by-step explanation:

Two angles are complementary when the measure of the angles between sum up to 90°;

   Given;

  Angle 1  = a

  Angle 2  = b

        a  = 15 + 2b

 Angle a + Angle b  = 90°  

         15 + 2b + b  = 90

          15 + 3b  = 90

                 3b  = 90 - 15

                 3b  = 75

                    b  = 25°

pleaseee help
will mark BRAINLIEST

Answers

Answer:

(2,-1) is the answer

Step-by-step explanation:

my aunt told me ::(())

Answer:

(2,-1)

Step-by-step explanation:

79 questions dang

Pls help .............​

Answers

Answer:

Top one

Step-by-step explanation:

Two groups of students order hamburgers and hot dogs at a local restaurant. The first group orders 3 hamburgers and 4 hot dogs for a total cost of $30.33. The second group orders 3 times as many hamburgers as the first group and 5 hot dogs. The second group’s total is $63.06. What is the cost of a hamburger at this restaurant?

Answers

Answer:

3.63666666667 or about $3.64

Step-by-step explanation:

63.06 - 30.33 = 32.73(this is the price for 9 hamburgers)

32.73/9 = 3.63666666667(The price for hamburgers.)

I need to know if 198 to 1287 and 2 to 13 are equivalent ratios

Answers

yes they are equivalent

Step-by-step explanation: try dividing 198 and 1287 and the same to 2 and 13 you should get the same for both.

write the slope intercept form of the equation of the line that goes through the point (5,-6) and has a slope of 2

Answers

Answer:

y = 2x - 16

Step-by-step explanation:

Slope-intercept form: y = mx + b

Given:

Slope(m): 2

Point: (5, -6)

To write the equation in slope-intercept form we need to find the slope(m) and the y-intercept(b).

Since we were given the value of the slope, the only thing we have to do is find the y-intercept. To do this, input the values of the slope and the given point into the equation and solve for b:

y = mx + b

-6 = 2(5) + b

-6 = 10 + b

-16 = b

The y-intercept is -16.

Now that we know the slope and the y-intercept, we can write the equation:

y = 2x - 16


Consider the line y=- 2x+7.

What is the slope of a line parallel to this line?

What is the slope of a line perpendicular to this line?

Answers

Answer:

the slope is rhe same -2

Step-by-step explanation:

the slope is the opposite +1/2

32. The length of a rectangle measures six more than the width. The perimeter of the rectangle is 38.
What are the dimensions of the rectangle?

Answers

Answer: 12.5

You start with the equations "2x +2y=38" and "6+x=y". By adding and subtracting in the second equation, you get "2x +2y=38" and "x-y=-6". When you multiply the second equation by 2, you get "2x-2y=-12."

subtracting the equations "2x +2y=38" and "2x-2y=-12" gets you to "4y=50", where you have to divide two sides by 4 and get "y=12.5"

What’s the slope,y-intercept, transformations of (-) and (2)

Answers

I can only give you the slope and y-int because I don’t know the rest anyway

The slope is -1
The y-intercept is 2

Hope this helped
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