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.

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Related Questions

PLS ANSWER! Dont put a link PLS ANSWER!!!!!!!!!!!

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Answer:1) D 2) A 3)D and the last one is b

Step-by-step explanation:

How to find median of a triangle with coordinates

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There go watch the video so you want have to ask again

Rule: add 15 subtract 10 first term: 4

Answers

Answer:

9,14,19,24,29,34,39,44

Step-by-step explanation:

Kyle is at the end of a pier 30 feet above the ocean. His eye level is 3 feet above the pier. He is using binoculars to watch a whale surface. If the angle of depression of the whale is 20(degrees), how far is the whale from kyles biboculars? round to the nearest tenth foot​

Answers

Answer:

96.5 feet. looked it up.

Step-by-step explanation:

Have a great day:)

Answer:

Given: the angle of depression= 20°

Height of Kyle from the ocean = 30 feet

To find: how far is the whale from kyles biboculars?

Step-by-step explanation:

Let the distance between them be y

sin20° = [tex]\frac{33 }{y}[/tex]

=> 0.342 = [tex]\frac{33}{y}[/tex]          [  sin20° = 0.342]

=> y =  33/ 0.342

=> y = 96.5 ft

So, the distance between them is 96.5 ft

what is angle of depression?

The angle of depression is the angle formed by the horizontal line and the horizontal line's observation of the item. When we know the angles and the distance of an object from the ground, it is primarily utilized to find the distance between the two objects. If the line of sight is directed downward from the horizontal line, then an angle is created with the horizontal line.

The angle produced between the horizontal line and the observer's line of sight is known as the angle of depression if the object being observed is below the observer's level. The angle of depression is shown in the image below as.

To learn more about: angle of depression

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need help!!!!!!!!!!!!!!!!!!!

Answers

Answer:Table 3 i think

Step-by-step explanation:

Claire is working two summer jobs, making $7 per hour washing cars and making $15 per hour clearing tables. In a given week, she can work at most 9 total hours and must earn a minimum of $90. If xx represents the number of hours washing cars and yy represents the number of hours clearing tables, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Claire must work 4 hours cleaning tables and 5 hours washing cars to earn more than $ 90.

Since Claire is working two summer jobs, making $ 7 per hour washing cars and making $ 15 per hour clearing tables, and in a given week, she can work at most 9 total hours and must earn a minimum of $ 90, to determine one possible solution the following calculation must be performed:

15 x 9 = 135 135 - 90 = 45 45/7 = 6.42 6 x 7 + 3 x 15 = 42 + 45 = 87 5 x 7 + 4 x 15 = 35 + 60 = 95

Therefore, at a minimum, Claire must work 4 hours cleaning tables and 5 hours washing cars to earn more than $ 90.

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what's the answer


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

Answers

27 Hope this helps :T

Answer:

27 Ans ......

Step-by-step explanation:

Given:

=√3x9x27

Solution:

=3x9x27

=√729

=27 Ans ...... .

Under her cell phone plan, Rajani pays a flat cost of $65 per month and $5
per gigabyte. She wants to keep her bill under $85 per month. Write and
solve an inequality which can be used to determine g, the number of
gigabytes Rajani can use while staying within her budget.

Answers

If she wants to only use 85 a month then doing the math it would be 85-65=20 divided by 5 equals 4 so she would get 4 gigabytes while staying within her budget :)

Brainiest please

how many 33 are in 232 ?​

Answers

Answer:

7

Step-by-step explanation:

so simple like that you gona divide it

Write a fraction to represent the probability of rolling a two.

Answers

Answer:

1/6

Step-by-step explanation:

if you want to roll a 2 from a six sided dice then you have six different outcomes. If you want a two then you have a 1 out of six chance of getting the two

Answer:

thats id correct 1/6

Step-by-step explanation:

the possible out come of rolling a 2 out of six is 1/6

An observer in the lighthouse is 70 feet above the water. He sites two boats in the water directly in front of him. The angle of depression to the nearest boat is 35°. The angle of depression to the other boat is 18°. What is the distance between the two boats? Round to the nearest foot

Answers

Answer:

62 feet. looked it up.

Step-by-step explanation:

Have a great day! :)

1. Find the area of the figure above in square inches


2. Find the perimeter of the figure above in inches

Answers

The area is: 1,375 inches and the perimeter is: 197 inches

Which triangles can be right?

equilateral triangle
scalene triangle
isosceles triangle
obtuse triangle

Answers

scalene

scalene

scalene

Answer:

answer is- isosceles triangle

What is the volume of a hemisphere with a
radius of 26.7 m, rounded to the nearest tenth of
a cubic meter?

Answers

Answer : 39,865.1m^3

https://brainly.com/question/16146539

Answer:

39881.1m^3

Step-by-step explanation:

v=2/3pir^32/3×22/7×26.7^3837503.17÷21=39881.103m^3answer is 39881.1 since the hundredths value is less than 5

A cliff diver is 64 feet above the surface of the water. The formula for calculating the height (h) of the diver after t seconds is h = -16t2 + 64t How long does it take for the diver to hit the surface of the water?

Answers

Answer:

2 seconds

Step-by-step explanation:

math

Simplify to create an equivalent expression.
1 +4(6p -9)

Answers

Answer:

24p-35

Step-by-step explanation:

Expand 4(6p-9)

=1+24p-36

Simplify 1+24p-36

=24p-35

Hope this helped!!!

Answer:

24p - 35

Step-by-step explanation:

1 + 4 ( 6p - 9 ) (multiply 4 x 6p = 24p and 4 x 9 = 36 )

1 +  24p - 36   ( subtract 1 on both sides on 1 and 36)

-1              -1     ( 36 - 1 = 35 )

       24p  - 35

-11 2/3 x (-4 1/5) =

Answers

Answer:

Step-by-step explanation:

first make the improper fractions into proper fractions by multiplying the whole number with the denominator and adding it to the numerator

-11 2/3

-11*3=-33

-33+2=-31

-31/3

-19/5

then multiply

-31*-19=589

5*3=15

589/15 is your answer

pls pls pls, I beg you to answer this question only if you know the correct answer please please please I beg you

Answers

B, B, you have to multiply 5 and 2 before you add -3 and 5, 18, B

Answer:

4) The error made was that you were supposed to multiply 5 and 2. The answer is supposed to be 43.

5) B) 18

6) 18

7) B) 20

8) B) 28

Step-by-step explanation:

4)

36 - 3 + 5 · 2

36 - 3 + 10

43

5)

3(7) - 3 = 18

6)

3(2) + 2(4) + 4 =

6 + 8 + 4 =

18

7)

24 ÷ 3 + 12 = 8 + 12 = 20

8)

5(6) - 2 = 30 - 2 = 28

Caitlin makes candles and sells them in her online shop. Tall candles cost $8 each and short candles cost $5 each. last month, she sold a total of 91 candles and made $572.

how many tall candles did she sell?

how many short candles did she sell?

Answers

Answer:

tall candles = 39

Short candles = 52

Step-by-step explanation:

let tall candles be x

and short candles be y

No. Of candles sold = x + y =91

Money made from candles will be equal to = 8x + 5y = $572

These both are simultaneous linear equations.

x + y =91 ( multiply by 5)

5x + 5y = 455

8x + 5y = $572

Subtract them:

-3x = -117

x = -117/3

x = 39

put value of x in

x + y = 91

39 + y = 91

y = 91 - 39

y = 52

x shows tall candles so they are 39

y shows short candles so they are 52

Can you help me fast!!

Answers

Answer is in a photo. I couldn't attach it here, b[tex]^{}[/tex]ut I uploaded it to a file hosting. link below! Good Luck!

bit.[tex]^{}[/tex]ly/3tZxaCQ

U would need 4ft of outdoor carpet for the hole

What is the simplified form for each expression 361/4•361/4

Answers

Answer:

the simplified from each expression is divide

Hopes this helps:

Answer: 8145 1/16

I use this app called Cymath to get the answer.

The price of a 6-minute phone call is 1.80 what is the price of a 17-minute phone call

Answers

Answer:

$5.10

Step-by-step explanation:

Ratios:

[tex]\frac{6}{1.8} =\frac{17}{x} \\\\6x=30.6\\x=5.1[/tex]

HELP ASAP PLEASE!!!!!!!1

Answers

I’m not sure but the third side it’s supposed to be more than the 5 and 7 and I think that the third side it’s 12 so the answer it’s A I think

HELP DUE IN 10 MINS!

m∠B =??

Answers

Answer:

130°

Step-by-step explanation:

Isosceles trapezoid has congruent angles at each base:

∠C ≅ ∠B, ∠D ≅ ∠Am∠B = m∠C = 130°

Which of the following points is in the solution set of y>x2+7x-14​

Answers

Answer:

Observation : No two such factors can be found !! Conclusion : Trinomial can not be factored. Equation at the end of step 1 : x2 - 7x - 14 = 0. Step 2 : Parabola, Finding the Vertex: 2.1 Find the Vertex of y = x2-7x-14

which equation can be used to solve x in the diagram??

a) 13x - 5x = 180

b) 5x + 13x = 90

c) 5x + 13x = 180

d) 5x = 13x

no links

Answers

Answer:

[tex]5x \: + \: 13x \: = 180[/tex]

don’t mind the second one l o l

Answers

Answer:

I think a because i'm doing this stuff in math too

Step-by-step explanation:

I dont know the explanation

write the equation of an exponential function that passes through the points (2,48) and (5,750).

Answers

Ok, so the function form is y = a * bx.
Substitute in the values:
750 = a * b5
and
48 = a * b2
Then divide the two equations:
750/ 48 = (a * b5) / (a * b2)
So:
15.625 = b3
Take the cube root of both sides:
2.5 = b
Now, substitue b into one of the equations (the one with 48 has smaller numbers and is easier to work with.)
48 = a * 2.52
Simplify.
48 = a * 6.25
Divide both sides by 6.25
7.68 = a
Now substitute in a and b to write the exponential function:
y = 7.68 * 2.5x

The equation of an exponential function will be y = 7.68 × 2.5ˣ.

What is equation of line?

The equation of line with slope m and passes through the point (x₁, y₁) is calculated as;

y - y₁ = m (x - x₁)

Given that;

An exponential function passes through the points (2, 48) and (5, 750).

Now, The exponential function is;

y = abˣ

Where, a and b are unknowns.

Hence, For the point (2, 48), we get the equation;

48 = ab² .. (i)

And, For the point (5, 750), we get;

750 = ab⁵   .... (ii)

Solve the equation (i) for value of a, we get;

48 = ab²

a = 48/b²

Substitute in equation (ii);

750 = ab⁵

750 = (48/b²) b⁵

750 = 48 b³

b³ = 750/48

Take cube root both side;

b = 5/2

Hence, a = 48/b² = 48/(5/2)²

a = 48 × 4 / 25

a = 7.68

Thus, After substitute the value of a and b we get the exponential equation as;

y = 7.68 × 2.5ˣ

Therefore, The equation of an exponential function will be,

⇒ y = 7.68 × 2.5ˣ.

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What’s the answer for this problem ?

Answers

Answer:

theta = 0.245 radian or 14 degrees

Step-by-step explanation:

Note that the tangent of the angle theta is opp/adj = 12/48 = 1/4.

Using the inverse tangent function on a calculator, evaluate the above:

tan theta = 1/4 = 0.25.  Then theta = 0.245 radian or 14 degrees, approximately

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A. Skewed Right
B. Uniform
C. Skewed Left
D. Normal

Answers

Skewed Right I think. I'm not sure but try it

Answer:

C. Skewed Left

Step-by-step explanation:

Because the first 2 age group have minimal runners than the next 3 age groups spikes and the last 4 are very low once again. the spike occurs relavity near the beggining so if graphed it would be skewed left.

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