BC⎯⎯⎯⎯⎯ is parallel to DE⎯⎯⎯⎯⎯. What is AC? Enter your answer in the box. 34 units A triangle with vertices labeled as A, D, and E. Side D E is the base and the top vertex is A. Sides A D and A E contain midpoints B and C, respectively. A line segment is drawn from point B to C. Side A B is labeled as 8. Side B D is labeled as 10. Side C E is labeled as 15.

Answers

Answer 1

Answer:

AC = 12

Step-by-step explanation:

If BC is parallel to DE, then angles D and B are congruent and angles C and E are congruent as well. This means that triangles ABC and ADE are similar by the AAA (or AA) similarity theorem.

We know that similar triangles are in proportion. This means that [tex]\frac{AC}{AE} = \frac{AB}{AD}[/tex]

Now, we can plug the values given into that equation:

[tex]\frac{x}{x+15} = \frac{8}{18}[/tex]

Now, cross multiply:

18x = 8(x + 15)

Now, we can simplify this equation and solve for x, or AC.

18x = 8x + 120

Subtract 8x from both sides:

10x = 120

Divide both sides by 10:

x = 12

Hope this helps!

Answer 2

Answer:

AC: 12

Step-by-step explanation:


Related Questions

If f(x) = 3x + –, what is f(a+ 2)?
+
X
O A. 36(a)) +
5
f(a) + 2
O B. 3a+2+2
5
O C. 3(a + 2) +
Q + 2

Answers

Answer:

C

Step-by-step explanation:

The temperature of a city at sunset was -2°F. Overnight, the temperature decreased by 13°F. What was the lowest temperature overnight in that city?​

Answers

Answer:

the answer is -15°F

1st: draw a number line

2nd: start at -2

3rd: go back 13 spaces toward the negitive

4th: u get your answer= -15°F

Determine the value of z. answers: A) 57° B) 53° C) 121° D) 239°

Answers

Answer: a

Step-by-step explanation:

Answer:

121

Step-by-step explanation:

The exterior angle  measurement is equal to the sum of the opposite interior angles

34+ 87 = z

121 = z

What is the mean of 12, 24, 24, and 52

Answers

The mean basically means the average number between all numbers given. You can find the mean by adding them together and diving by the number of numbers. In this case, 12 + 24 + 24 + 52= 112. Divide 112 by 4 and the answer is 28. Therefore, the mean is 28.

Answer:

Mean = 28

Step-by-step explanation:

Mean = [tex]\frac{sum of observations}{number of observations}[/tex]

Mean = [tex]\frac{12+24+24+52}{4}[/tex]

Mean = [tex]\frac{112}{4}[/tex]

Mean = 28

In a parallelogram, both paires of oppsite sides are parallel? true or false

Answers

Answer:

True

Step-by-step explanation:

A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

Answer:

True bc both paired of opposite sides are parallel

Step-by-step explanation:

Hope this helps

Correct me if this is wrong


what’s the best answer ?????

Answers

Answer:

zero

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The line is horizontal and parallel to the x- axis

Since the x- axis has a slope of zero then the line has a slope of zero.

8
If Zoey sells over 50 boxes of cookies, then she will win a prize.
Which of the following is the hypothesis in the statement above?
A.
she will not win a prize
B.
Zoey sells under 50 boxes of cookies
C.
she will win a prize
D.
Zoey sells over 50 boxes of cookies

Answers

Answer: Zoey sells over 50 boxes of cookies

Step-by-step explanation: The hypothesis is the “if” part in an if-then statement.

robert wants to put lights around the front of his house the house is 12 yards long and 7 yards high how many feet of lights does he need?

Answers

Answer:

19 lights

Step-by-step explanation:

I think so .

Thank you

Answer:

114 Lights

Step-by-step explanation:

How many kilometers are there ??

Answers

Answer:

20

Step-by-step explanation:

1 hour=2 kg

10 hrs=10×2=20

Mark as brainliest please!

Is (–6, 6) a solution to the equation y = –x?

Answers

Answer:

yes

Step-by-step explanation:

y = –x

Substitute the point into the equation

6 = - (-6)

6 = 6

This is true so the point is a solution to the equation

What is the leading coefficient and constant of this problem?

(8

Answers

2/7*3/8>3/8 because 2/7>1

The ratio of the number of roses to the number of daises in a garden is 4:3. If there are 42 daises in the garden, how many roses are in the garden?

Answers

Answer:

56

Step-by-step explanation:

The 3 part of the ratio represents daisies.

Divide the number of daisies by 3 to find the value of one part of the ratio.

42 ÷ 3 = 14 ← value of 1 part of the ratio, thus

4 parts = 4 × 14 = 56 ← number of roses

What are angles 3 and 4 called in the diagram below ?

A. vertical angles
B. Alternate exterior angles
C. Alternate interior angles
D. Corresponding Angles

Please help me with this

Answers

Alternate interior angles.

Answer:

Alternate Interior Angles

Solve for x: 6x + 5 = 4x + 51

Answers

Answer:

x=23

Step-by-step explanation:

6x + 5 = 4x + 51

Take away 4x from both sides

2x + 5 = 51

Take away 5 from both sides

2x = 46

Divide both sides by 2

x=23

Answer: x=23

explanation: First thing you need to do is rearrange the equation so that like-terms are together. To avoid negative numbers, subtract 5 from both sides of the equation (subtraction property of equality), and subtract 4x from both sides (subtraction property of equality). You're equation would then be 2x=46. Divide both sides (division property of equality) by 2 to isolate your variable of x. You'll be left with a final answer of x=23.

Harry bought a sweater that only cost $5 when it normally costs $35. What percent was the discount? Provide an explanation. A. 16.7% B. 14.3% C. 30.0% D. 85.7%

Answers

Answer:

D. 85.7%

Step-by-step explanation:

its figuring out the percentage decrease

so you would go

35-5= 30

30/35 x 100 = 85.7

Answer:

Step-by-step explanation:

Discount = 35 - 5 = 30

Percentage of discount = (30/35) * 100

                                       = 85.7 %

Levi invested $8,500 in an account paying an interest rate of 3.4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 18 years?

Answers

Answer:

[tex]15516.3163[/tex]

Step-by-step explanation:

[tex]8500\cdot(1.034)^{18}=15516.3163[/tex]

If Levi invested $8,500 in an account paying an interest rate of 3.4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 18 years will be $15,516

Using this formula

Amount=P(1+r)n

Where:

p represent principal=$8,500

r represent rate=3.4% or 0.034

n represent number of years=18 years

Let plug in the formula

Amount=$8,500(1+0.034)∧18

Amount=$8,500(1.034)∧18

Amount=$8,500(1.82544)

Amount=$15,516

Inconclusion if Levi invested $8,500 in an account paying an interest rate of 3.4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 18 years will be $15,516

Learn more here:

https://brainly.com/question/19143786

Factor completely: 32 + −10.

Answers

Answer:

22

Step-by-step explanation:

you are adding negative 10 so your number gets smaller

Traductor de español

¡Hola!

La pregunta le pregunta a Factor completamente 32 + -10. 32, un número positivo puede agregar a -10, un número negativo correctamente.

Respuesta: 22

Prueba: 32

               + -10

                ______

                     22

_____________________________________

English Translator

Hello!

The question asks Factor completely 32 + -10. 32, a positive number can add into -10, a negative number correctly.

Answer: 22

Proof:            32

               +   -10

                ______

                     22  

The shape on the left is transformed to the shape on the right.
B
A'.
B
с
A
D
C
Which of the following statements describes the transformation?
O ABCD →A'B'C'D'
O A'B'C'D' → ABCD
ABCD→D'A'C'B'
O D'B'C'A → CADB

Answers

Answer:

Step-by-step explanation:

definitely A

question in attachment

Answers

Answer:

1. a= 7, A = 49 degrees

Side A = 7 , Side B = 24, Side C = 25

A= 49 degrees, C = 90 degrees , B=41

2. A= 4, B = 6.9, C=8

A= 22 degrees, B = 68, C= 90

3. A= 7, B = 14.4, C=16

A= 45 , B=45  , C=90

A cone holds 450 gallons of water. How many gallons of water will a cylinder hold if it has the same base area and height as the cone?

Answers

Answer:

the length is 50 gallons

Step-by-step explanation:

Solve for x: x5 − 2 = 18

Answers

x5-2=18

I’m gonna rewrite the equation:

18=5x-2

5*4=20-2

X=4

there are 50 cards in a pack and each card is either red or black
the ratio of the number of red cards to the number of black cards 1:1

10 black cards are removed from the pack

find the ratio of the number of red cards in the pack to the number of black cards in the pack
Give your answer in its simplest form


Please show your working out

Answers

Step-by-step explanation:

Ratio Red to Black is 1:1

Therefore, Red and Black has 25 cards respectively

If 10B cards are removed, then 25-10=15B cards left

Current ratio Red to Black is 25:15 and simplest form is 5:3

A ratio of 1:1 means there are the same number of red and black cards, so 25 of each. Take 10 black away and now there are still 25 red but only 15 black. The ratio is 25:15, which simplifies to 5:3 ( divide 25 and 15 by 5 because 5 is the greatest common factor of 25 and 15)

solve for 25x2 + 9 = 30x

Answers

Answer: [tex]x=\frac{3}{5}[/tex]

Step-by-step explanation:

Move all terms to one side.

[tex]25x^2+9-30x=0[/tex]

Rewrite [tex]25x^2+9-30x[/tex] in the form [tex]a^2-2ab+b^2[/tex], where [tex]a=5x[/tex] and [tex]b=3[/tex]

[tex](5x)^2-2(5x)(3)+3^2=0[/tex]

Use the Square of Difference: [tex](a-b)^2=a^2-2ab+b^2[/tex]

[tex](5x-3)^2=0[/tex]

Take the square root of both sides.

5x-3=0

Add 3 to both sides.

5x=3

Divide both sides by 5.

x= 3/5

The tip of a pendulum moves through an angle of 0.38 radians. If the radius of the pendulum is 25
centimeters, then which of the following is the length of the arc the tip moves through?
(1) 4.7
(3) 7.8
(2) 6.1
(4) 9.5​

Answers

Answer:

 The length of  arc  'l' = 9.5

Step-by-step explanation:

Explanation:-

Given radius of the pendulum r = 25

The tip of a pendulum moves through an angle of 0.38 radians

     θ = 0.38 radians

The length of  arc  'l' = rθ

                             'l' = (25)(0.38)

 The length of  arc  'l' = 9.5                        

a line passes through the point (2, -9) and has a slope of -6, what is the equation for this line?

Answers

Answer:

Step-by-step explanation:

y + 9 = -6(x - 2)

y + 9 = -6x + 12

y = -6x + 3

This diagram shows a right cylinder. Recall that the area of
a circle is A = ar?. What is the formula for the volume of
the cylinder?

Answers

Answer:

A=Pi x radius x height+2 x pi x radius^2

Step-by-step explanation:

Answer:

Sample answer

Determine the value of z in the figure answers: z = 50° z = 45° z = 10° z = 30°

Answers

Answer:

z = 10°

Step-by-step explanation:

Since the two sides are equal, the two base angles have to be equal

That means that 5z and 130 form a straight line and add to 180 degrees

5z+130 = 180

Subtract 130 from each side

5z = 50

Divide by 5

5z/5 = 50/5

z=10

A. 180
B.82
C. 46
D. 98

Please answer help me

Answers

Answer:

D

Step-by-step explanation:

Because the angle with measure 82 and angle 1 are corresponding angles, their angles measure must be equal, and therefore angle 1 has measure of 82 as well. Since angles 1 and 2 are a linear pair, they must be supplementary, and angle 2 is therefore 180-82=98 degrees. Hope this helps!

[tex]answer = 98 °\\ solution \\ < 1 = 82(being \: corresponding \: angless) \\ < 1 + < 2 = 180(sum \: of \: angle \: in \: straight \: line) \\ or \: 82 + < 2 = 180 \\ or < 2 = 180 - 82 \\ < 2 = 98° \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

How much time is needed for a boy on roller skates to slow down from 17.4
m/s to 9.11 m/s if he covers 45.0 m?

Answers

Answer:

Step-by-step explanation:

v²-u²=2as

9.11²-17.4²=2a×45

a=-(17.4²-9.11²)/90=-(302.76-82.9921)/90=-219.7679/90 m/s²

v=u+at

9.11=17.4-219.7679/90 t

9.11-17.4=-219.7679/90t

-8.29×90=-219.7679t

t=-746.1/-219.7679≈3.395 s

I need help with finding the sum of (x^4 + 2x^3 - 7x - 9) + (x^5 - 2x^4 + 8x + 18) in standerd form

my answer is x^5 - x^4 + 2x^3 + x^2 + 9
is this correct

Answers

Answer:

Step-by-step explanation:

(x^4 + 2x^3 - 7x - 9) +

(x^5 - 2x^4 + 8x + 18)

x^5 - x^4 + 2x^3 + x + 9

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