Jolene is creating a model of a pyramid. The model created will need to be scaled up from the blueprint. triangle ACB, point D is on segment AC between points A and C, point E is on segment BC between points B and C If segments DE and AB are parallel, which of the following expressions will help Jolene determine the length of segment AC? AC equals CB times CD all over CE AC = AB AC equals CB times AC all over CE AC = BC

Answers

Answer 1

Answer:

AC equals CB times CD all over CE

Answer 2

The lengths of the sides of the scaled drawing can be determined from the

relation between similar triangles.

The expression that will help Jolene determine the length segment AC is the option;

[tex]\displaystyle \underline{CD= \frac{CB\cdot CD}{CE}}[/tex]

Reasons:

The given parameters are;

The figure Jolene is trying to create = A scaled up blue print

Given that in ΔACB and ΔABC, we have;

DE and AB are parallel

Therefore;

∠CED ≅ ∠CBA by corresponding angles

∠CDE ≅ ∠CAB by corresponding angles

∠C ≅ ∠C by reflexive properties

ΔCDE ~ ΔACB by Angle-Angle similarity postulate

Therefore, by similar triangles, and triangle proportionality, we have;

[tex]\displaystyle \frac{AC}{CD} = \mathbf{\frac{CB}{CE}}[/tex]

Therefore;

[tex]\displaystyle CD= \mathbf{ \frac{CB\cdot CD}{CE}}[/tex]

Therefore, if segments DE and AB are parallel, the expression that will help Jolene determine the length segment AC is; [tex]\displaystyle CD= \frac{CB\cdot CD}{CE}[/tex]

Learn more about similar triangles here:

https://brainly.com/question/14445094


Related Questions

Which equations have the same pair of solutions? Select all that apply.

n(n + 3)(n - 4) = 0
2n(4n + 6)(6n - 4) = 0
0 = 2n(6 - 4n)(4 - 6n)
0 = n(2n + 3)(3n - 2)
2n(2n + 3)(3n - 2) = 0
3n(6n + 9)(9n - 6) = 0

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2, 4, 5 and 6. That is the order of equations

Which one of the following would prove that two triangles are congruenta

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Answer:

Corroponding side lengths are equal

Step-by-step explanation:

Two triangles may have the same areas, but the sides might be different or in different spots than each other. The same goes for perimeter, therefore it doesn't mean that they are congruent. If two triangles had the same angle measures, it could still have any size side lengths. When corrosponding side lengths are equal, they have the same angles as well, so they are only congruent in this example.

Hope this helps :)

5.3g + 8 = 3.3g + 20

Answers

Answer:

g = 6

Step-by-step explanation:

Step 1: Subtract 3.3g from both sides.

Step 2: Subtract 8 from both sides.

Step 3: Divide both sides by 2.

(hope this helps) :)

question in the picture. HELP! please

Answers

Answer:

1) 4*4x-4*3 and 16x-12

2)15y and 8y+7y

Answer:

16x-12 & 4(4x)-4(3)

15y & 8y+7y

Step-by-step explanation:

can someone please help me as soon as possible​

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Answer:

a quadratic function is letter A

Solve for x step by step

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Answer:

n=11

Step-by-step explanation:

n+5/-16=-1, multiply both sides by -16

n+5=16, subtract 5 from both sides

n=11

please help!! the blank ones are the answer you can choose which one is correct.

Answers

Answer:

25 percent the answer is 25 percent I'm pretty sure. cause it's just 112.5/450

Which statement about the slope of a line is true?

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Answer:

wheres the line

Step-by-step explanation:

If £29 = 500 rubles, how many £ are in 1,260 rubles? Give your answer to 2 dp

Answers

Answer:

6.21 Pound sterling

Step-by-step explanation:

You have to divide first to find one pound of rubles, then you multiply to get your answer

Which equations describes a line that has a y-intercept of 4 and a slope of 3?

Answers

Hello there!

If a line has a slope of 3 and a y-intercept of 4, its equation looks like this:

[tex]y=3x+4[/tex]

Hope this helps you! Mark Brainliest, please! :)

~Just a joyful teen

[tex]SilentNature[/tex]

Answer:

y = 3x + 4

Step-by-step explanation:

Help plsssss! I need this done

Answers

the answer is B hope this helps!

Answer:

B)p=20

Step-by-step explanation:

25=5p/4

25×4=5p

100=5p

p=100/5

p=20


Find the value of x. 50​

Answers

The value of x is 47.

The angles of a triangle equal 180 degrees. You’re given two angles with the vale’s 83 degrees and 50 degrees. To find the remaining angle subtract the two angles from 180.

180 - 83 - 50 = 47.

Answer:

47 degrees

Step-by-step explanation:

The total angles of a triangle always equals 180. Therefore, just add the two angles together then subtract by 180 to get your answer:

180-83+50=47

Multiply. (−3 1/8)⋅(1 3/5) What is the product? Enter your answer in the box.

Answers

Answer:

-5

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

simplified form
(3x+2)(4x² –5x+7)

Answers

Answer:

12x³ - 7x² + 11x + 14

Step-by-step explanation:

(3x + 2)(4x² - 5x + 7)

Each term in the second factor is multiplied by each term in the first factor, that is

3x(4x² - 5x + 7) + 2(4x² - 5x + 7) ← distribute parenthesis

= 12x³ - 15x² + 21x + 8x² - 10x + 14 ← collect like terms

= 12x³ - 7x² + 11x + 14

Simplify −n+(−4)−(−4n)+6

Answers

Answer:

2+3n

Step-by-step explanation:

-n+(-4)-(-4n)+6-n-4+4n+6-4+6-n+4n2+3n

Complete the equation so that it has
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Answers

The equation can be simplified to x/2-8, which mean that after timing with 1/4, the remaining should be 32 because 32*1/4 would be 8.
Final answer: Missing part of the answer is 32. Please mark me brainliest. Thanks

This morning, Sarah's team started at zero and earned 5 points for perfect attendance. The team lost 10 points for disruptive behavior at lunch. Write an addition equation to describe how many points Sarah's team earned. Give the
sum.

Answers

0+5=5
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They started at 0. The team earned 5 points and lost 10. they ended up with -5 points.

point S lies an AB. If AB=34 units, AS=5+2x units, and SB=x+2 units, what is the length of AS in units?

Answers

Answer:

5+2x+x+2=34

7+3x=34

7-7+3x=34-7

3x=27

3x/3=27/3

x=9

5+2x=AS

5+(2*9)=AS

5+18=AS

23=AS

23 units

Step-by-step explanation:

There are 180 people registered to attend a conference. In order to seat all of the attendees, rows of 12 chairs are set up in the conference room. How many rows need to be set up in order to seat all the attendees with no extra chairs?

Answers

Answer:

15 rows

Step-by-step explanation:

180 divided by 12 is 15.

Ms. Howard buys a car for $500 and adds a music system that costs $200. Then she adds a set of seat covers for the price shown.

A photo of two seat covers is shown. A price tag reads, Sale, fifty dollars.

Answers

Answer:

$750 that is the answer if you add them all up

14. A customer's cell phone bill cost $60.50. The company charges a monthly fee of $28 plus
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customer spent talking on the phone. Let m represent the number of minutes.

Answers

your work is not complete

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Answers

Answer:

24

Step-by-step explanation:

Answer:24

explanation

i need some frikin help on equations like this 4x>2 i used to do questions like this 4x=2 (basically one step equations) im just really confused

Answers

Answer:

x>1/2

Step-by-step explanation:

4x>2

4x/4

2/4

x>2/4

2/4 divided by 2= 1/2

x>1/2

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Answers

95252226!!
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Can some one please help

Simplify 4(11-6)+2

Answers

Answer: 22

Step-by-step explanation:

11 - 6 = 5

4 x 5 = 20

20 + 2 = 22

' pls can i have brainliest? i need it for my goal'

Answer:

22

Step-by-step explanation:

Solve whats in the paranthesis: (11-6) = 5

New problem: 4(5) + 2

Then multiply: 20+2

Finally add both numbers together: 22

Volume Of This Cylinder

Answers

Answer:

6

Step-by-step explanation:

1. The Formula for volume of a Square is V=πr2h

2. So u would plug everything in.. so v- π4²12

3. so then u get 6

what is the answer ?

Answers

Answer:

arc VW = 66°

Step-by-step explanation:

The inscribed angle WXY is half the measure of its intercepted arc WY, so

WY = 2 × 57° = 114°

Arc YX = 180° ( semi- circle ) , then

VW = YX - WY = 180° - 114° = 66°

Answer:

66°

Step-by-step explanation:

1) m(WY)=2*57=114°;

2) m(WX)=180-m(WY)=180-114=66°

❗ℂℝℝℂ ℕℝ+ℙℕℕ ℍ ℝ ℝℕ + ℙℕ❗
~Simplify fully:
[tex] \sqrt{12} [/tex]
[tex] \sqrt{27} [/tex]
[tex] \sqrt{50} [/tex]
thanks xx)​

Answers

Answer:

Exact Form:  2 √ 3 , 3 √ 3 , 5 √ 2

[tex] \sqrt{12} \\ = \sqrt{4 \times 3} \\ = \sqrt{2 \times 2 \times 3} \\ = \boxed{ 2 \sqrt{3} }[/tex]

﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋

[tex] \sqrt{27} \\ = \sqrt{9 \times 3} \\ = \sqrt{3 \times 3 \times 3} \\ \boxed{3 \sqrt{3} }[/tex]

﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋

[tex] \sqrt{50} \\ = \sqrt{5 \times 10} \\ = \sqrt{5 \times 5 \times 2} \\ = \boxed{5 \sqrt{2} }[/tex]

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

Correct=Brainlest Evaluate (-4-0.7-1)÷-4 Convert into a decimal​

Answers

Answer:(-4 - 0.7 - 1)÷-4 = 57/40 = 1 17/40 = 1.425

Spelled result in words is fifty-seven fortieths (or one and seventeen fortieths).

How do you solve fractions step by step?

   Conversion a decimal number to a fraction: 0.7 = 7/10 = 7/10

   a) Write down the decimal 0.7 divided by 1: 0.7 = 0.7/1

   b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

   0.7/1 = 7/10

   Note: 7/10 is called a decimal fraction.

   c) Simplify and reduce the fraction

   7/10 = 7 * 1/10 * 1 = 7 * 1/10 * 1

   Subtract: -4 - 0.7 = -4/1 - 7/10 = -4 · 10/1 · 10 - 7/10 = -40/10 - 7/10 = -40 - 7/10 = -47/10

   For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(1, 10) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 10 = 10. In the following intermediate step, the fraction result cannot be further simplified by canceling.

   In other words - minus four minus seven tenths = minus forty-seven tenths.

   Subtract: the result of step No. 2 - 1 = -47/10 - 1 = -47/10 - 1/1 = -47/10 - 1 · 10/1 · 10 = -47/10 - 10/10 = -47 - 10/10 = -57/10

   For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 1) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 1 = 10. In the following intermediate step, the fraction result cannot be further simplified by canceling.

   In other words - minus forty-seven tenths minus one = minus fifty-seven tenths.

   Divide: the result of step No. 3 : (-4) = -57/10 : (-4) = -57/10 · -1/4 = -57 · (-1)/10 · 4 = 57/40

   Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of -4/1 is 1/-4) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, the fraction result cannot be further simplified by canceling.

   In other words - minus fifty-seven tenths divided by minus four = fifty-seven fortieths.

Jerry took his extended family out for a dinner that cost $480. Jerry paid 5% sales tax and left a 20% tip on $480. What was the total cost?

Answers

So you add 480 plus 24 in sales tax then you add 96 for the tip and if you add them all together you should get 600$

The amount of the sales tax and tip is $96 and $24, then the total cost of the dinner will be $600.

What is the percentage?

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Jerry took his extended family out for a dinner that cost $480. Jerry paid 5% sales tax and left a 20% tip on $480.

Then the cost of the sales tax will be

→ 0.05 × 480 = $24

Then the amount of the tip will be

→ 0.20 × 480 = $96

Then the total cost of the dinner will be

→ $24 + $96 + $480 = $600

More about the percentage link is given below.

https://brainly.com/question/8011401

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