in triangle ABC shown, DE || AC. What is the length of AC?

In Triangle ABC Shown, DE || AC. What Is The Length Of AC?

Answers

Answer 1

Answer:

AC = 20

Step-by-step explanation:

Δ BDE and Δ BAC are similar, so the ratios of corresponding sides are equal, that is

[tex]\frac{AC}{DE}[/tex] = [tex]\frac{BA}{BD}[/tex] , substitute values

[tex]\frac{AC}{8}[/tex] = [tex]\frac{10}{4}[/tex] ( cross- multiply )

4AC = 80 ( divide both sides by 4 )

AC = 20

Answer 2

In the triangle ABC if  DE is parallel to AC then the length of AC is 12 units.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given that the triangles ABC and BDE are similar triangles.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Let us form a proportional equation by comparing the proportional sides.

AC/DE=AD/BD

AC/8= 6/4

Apply cross multiplication

AC=48/4

Divide numerator and denominator by 4.

AC=12

Hence, in the triangle ABC if  DE is parallel to AC then the length of AC is 12 units.

To learn more on Triangles click:

https://brainly.com/question/2773823

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Related Questions

Of 570 people, 365 were male and 368 had brown hair. Of those with brown hair, 108 were female. What is the probability that a person was male or had brown hair? Write your answer as a reduced fraction.

Answers

Answer:

473/570

Step-by-step explanation:

No. of male = 365

No. of female = 570-365 = 205

No. of male with brown hair = 260

No. of female with brown hair = 108

the probability that a person was male or had brown hair = 365/570+108/570 = 473/570 [ for or case we add probabilities]

Answer:

Around 83%        473/ 570

Step-by-step explanation:

365 males  + 108 females with brown hair = 473

Divide the number of outcomes desired by the total  number of outcomes 473/570   = 0.829824....... = 82.98.....%

Tamu ran 30 minutes and burned 170 calories. PART A: Which equations can be used to find the average number of calories, c, burned per minute?

Answers

Answer:

170 divided by 30 or calories divided by minutes

Step-by-step explanation:

the answer could be either but they both mean the same thing just in different words

Ahh help, I need this question due in 10 mins-

Answers

I believe its 838 inches squared

HELPP ME PLEASE!!!
(don’t answer just for points or i will report)

Answers

Answer:

callens expression makes sense because they are showing that the five is negative and it is also being multiplied to the set of parenthesis.

demetrius's expression is a simplified version of callens. Using the parenthesis around the -5 shows that not only is that number negative, but it will also be multiplied to the -4 in the parenthesis.

Step-by-step explanation:

i hope this helps :)

explain how your know that 88is a solution to the equation 1/8 R = 11 complete the sentences
The word solution means to
88 is a solution to 1/8 R = 11 because

Answers

Answer:

In this equation R would equal 88 because it satisfies the equation.

Step-by-step explanation:

You must solve for R by isolating the variable(which is R). To move the 1/8, multiply both sides by 8. You would do this because 8 is the reciprocal of 1/8. With R on it's own, to keep both sides equal multiply 11*8. That equals 88, which satisfies the equation, which is why 88 is the solution.

Hope this helps :)

Water makes up about 60% of the average adult's body weight. Represent this percent by shading in the squares.

Answers

Answer:

shading three boxes

Step-by-step explanation:

It is given that :

The body weight of an average adult = 60%

We have to show this by shading the square boxes shown.

There are 5 square boxes in total which makes up 100%.

So divide 100 by 5, we can 20% for each box.

So, 20% + 20% + 20%  will give us 60%

Therefore, shading three boxes will give us 60% which is the water percent in an average adult's body weight.

This is represented by the figure below.

Josh's soccer team had a competition to see which player should be the goalie. Each player tried to block 15 kicks from entering the goal, and the coach recorded the number of successfully blocked kicks. Josh made a dot plot to display the information. What is the interquartile range for the data?​

Answers

Answer:







Explanation








I am having problems sorry if you can’t see it let me know if you can’t see it

Answer:

sup

Step-by-step explanation:

hey

Solve by factoring
x^2+7x+12=0

Answers

Answer:

x=-3,-4

Step-by-step explanation:

math

Answer:

x = -3 or x = -4

Step-by-step explanation:

x^2 + 7x + 12 = 0

(x + 3)(x + 4) = 0

x + 3 = 0  or  x + 4 = 0

x = -3 or x = -4

Triangle ABC is circumscribed about circle H, with points of tangency D, E, F.



What is the perimeter of Triangle ABC.

Answers

Answer: 30

Step-by-step explanation:

i don’t know, but i know it’s 30

Answer: 28

Step-by-step explanation:

Suppose you want to treat your office team to lattes at a local coffee shop. The drinks are $4.25 each,
plus you plan to buy a $3 scone for yourself. You also tip the barista 10% and have to pay 8.25% sales tax.
How many lattes can you afford if you have $60 to spend?

Answers

Answer: 10 lattes

lmk if this is incorrect

Step-by-step explanation:

sales tax: 60(.0825)=4.95

tip: 60(.10)=6

scone: 3

total excluding lattes: 4.95+6+3=13.95

total left to spend on lattes: 60-13.95=46.05

amount of lattes you can afford: 46.05/4.25=10.835294.....

Answer:

11 lattes and 1 scone

Step-by-step explanation:

11×4.25= 46.75+3.00= 49.75

49.75×8.25%= $53.85

10% of $53.85 is $5.38

53.85+5.38= $59.23

You will have .77 left

Hep yep help helphelp

Answers

Answer:

pretty sure it's A

Step-by-step explanation:

cuz a common factor of 9 and 10 is 90 do the calculations and it should be simple.

what factors of 52 add up to equal -8

Answers

Answer: 2x26 4x13 1x52

Step-by-step explanation:

Answer:

1 x 52 = 52.

2 x 26 = 52.

4 x 13 = 52.

find the volume of the cylinder!



Use 3.14 for pi-

round your answer to the tenths place !!


Will mark b if correct:)

Answers

Answer: this is the answer i got before rounding it 2123.72 but your answer is 2123.7  hope it helps

Step-by-step explanation:

Thandi received 15% discount on a dress that costs R1500. How much did she
pay?​

Answers

Answer:

She paid $1,275.00.

Step-by-step explanation:

I'm assuming you meant $1,500, so I'll be using that.

You can figure this out by subtracting 15% of 1,500 from 1,500.

15% of 1,500 is 225.

1500-225=1275

Therefore, 15% off of $1,500 is $1,275.

Find the product, using suitable properties:

(-23)×48 ​

Answers

Answer:

-1104

Step-by-step explanation:

(−23)(48)

= (−1104)

Give me Brainllest

PLS HELPPPP!!!!!! I GIVE BRAINLEST

Answers

Answer:

[tex]12 \times 4 = 48 \\ 8 \times 6 = 48[/tex]

=> These 2 multiplication facts are equal to 48.

rational number and irrational number ​

Answers

Answer:

Rational numbers are the numbers that can be expressed in the form of a ratio (P/Q & Q≠0).

Irrational numbers cannot be expressed as a fraction. But both the numbers are real numbers and can be represented in a number line.

Step-by-step explanation:

This doesn’t give me anything like do you need the definition or what

What is the value of g^-1(1)

Answers

According to the graph, g (-4) = 1, so g ⁻¹(1) = -4.

Step-by-step explanation:

According to the graph, g (-4) = 1, so g ⁻¹(1) = -4.

Hope this helps!

Factor out the Greatest Common Factor (GCF): 36y - 16 ?

Answers

Answer: 4(9y-4)

Step-by-step explanation:

36y - 16

4 x 9 is 36

4(9 is just like 36y.

The sum of the length and width of a rectangle is more than 15 units. The length is 3 units more than the width, x. Which model and solution is correct for this situation?

Answers

Answer: [tex]6, 9\ \text{units}[/tex]

Step-by-step explanation:

Given

The Sum of length and width is [tex]15\ units[/tex]

length is 3 units more than the width

width is [tex]x[/tex]

length is [tex]x+3[/tex]

Their sum is 15

[tex]\Rightarrow x+x+3=15\\\Rightarrow 2x=12\\\Rightarrow x=6\ \text{units}[/tex]

Length is [tex]x+3=9\ \text{units}[/tex]

Width is  [tex]x=6\ \text{units}[/tex]

please help


Will mark brainlist

Answers

I think answer is b that is 10raise to 2

jess travels 5 miles to school and pam travels 10 km. Who travels further? plz help i got 2 minutes ti answer​

Answers

Answer:

pam

Step-by-step explanation:

10k is over 6 miles

What is the product of ( 7 − 3 i ) × ( 4 + i ) ?

Answers

Answer: 31-5i

Step-by-step explanation:

28+7i-12i-3i^2

28-5i+3

31-5i

Answer:

31 - 5i

Step-by-step explanation:

(7 - 3i) * (4 + i)

Step 1: Multiply complex numbers 7 − 3i and 4 + i like you multiply binomials.

7 * 4 + 7i - 3i * 4 - 3i²

Step 2: By definition, i² is -1.

7 * 4 + 7i - 3i * 4 - 3 ( - 1)

Step 3: Do the multiplications.

28 + 7i - 12i + 3

Step 4: Combine the real & imaginary parts.

28 + 3 + (7 - 12)i

Step 5: Do the additions.

31 - 5i

The product of (7 - 3i) and 4 + i is 31 - 5i.

An airplane flies 105 miles per half an hour. How far can it fly in 1.25 hours at the same speed. Brainliest for correct answer. (ANSWER ISN't 262.5)

Answers

262.5 should be the correct answer though. 105/30=3.5 so the plane is approximately traveling at 3.5 miles per minute. 3.5x60= 210 so at an hour it has traveled 210 miles. Then we must find .25 of an hour which is 15 minutes. 15x 3.5=52.5. Add both the hour value and the .25 of an hour value together and it is 262.5 miles.

Answer:

Airplane fly 262.5miles far.

solution given:

rate=105 miles per 0.5 hour=210miles per hour

distance =rate ×time=210×1.25=262.5miles

Determine the center and radius of the circle described by the equation. (x+1)2+(y−3)2=25

Answers

Answer: 2 (x + y) = 29

2 (x + y - 2) = 25

y = 29/2 - x

Expanded forms:

2 x + 2 y - 4 = 25

2 x + 2 y - 29 = 0

Real solution:

y = 29/2 - x

Solution:

y = 29/2 - x

Solution for the variable y:

y = 1/2 (29 - 2 x)

Step-by-step explanation:

hope its helpss

PLZ HELP!!!!!!! AND NO LINKS

Answers

Answer:

A

Step-by-step explanation:

Acids turn litmus paper red. The characters of acids are given by substance A. An acid tastes sour and also conducts electricity well because of ionization properties. Additionally, Hydrogen gas is produced from acid-base neutralizations because most if not all acids contain hydrogen.

how of find the area of a composite figure

Answers

Step-by-step explanation:

A composite figure is made up of simple geometric shapes. To find the area of a composite figure or other irregular-shaped figures, divide it into simple, nonoverlapping figures. Find the area of each simpler figure, and then add the areas together to find the total area of the composite figure. Formula = a(a=lw+bh)

On a coordinate plane, a circle has a center at (1, negative 2) and a radius of 4 units. Which equation represents a circle with the same radius as the circle shown but with a center at (-1, 1)? (x – 1)2 + (y + 1)2 = 16 (x – 1)2 + (y + 1)2 = 4 (x + 1)2 + (y –1)2 = 4 (x + 1)2 + (y – 1)2 = 16

Answers

Answer:

(x + 1)2 + (y – 1)2 = 16

Step-by-step explanation:

Just took the test.

Answer:

It is D.

Step-by-step explanation:

TOP QUESTION^^ ILL GIVE BRAINLIEST

Answers

Answer:

Please read below:

Step-by-step explanation:

To calculate the area, you'll need πr². In this case, 3.14 * r²

If the radius is 50 feet, you'll calculate 50 * 3.14² which equals 492.98, or, B

Hope this helps :)

Add up 2/5,3/10 and 1/2 . Give your answer as a mixed number

Answers

Answer:

1 1/5

Step-by-step explanation:

To add fractions there are Three Simple Steps: Step 1: Make sure the bottom numbers (the denominators) are the same, Step 2: Add the numerators, put that answer over the denominator, Step 3: Simplify the fraction (if needed)

Mark me brainliest please!

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