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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

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

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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Answer:

Circumference-18.84956, rounded, 18.85

Area- 28.27433, rounded-38.27

Answer:

C≈9.42in

A≈7.07in²

Step-by-step explanation:

C=2πr

d=2r

C=πd=π·3≈9.42478in

A=πr2

d=2r

A=1

4πd2=1

4·π·32≈7.06858in²

Hope this helps!

Answer:

b. 4m

Step-by-step explanation:

congruent polygons means same shape, size, angles, and sides.

Answer:

To form the equation, it would y = -2/5x

Step-by-step explanation:

Answer:

250

Step-by-step explanation:

You have to find the triangle area and the rectangle and then add them.

Rectangle - 10*20 = 200

Triangle - (10*10)/2 = 50

Area - 200 + 50 = 250

Answer:

x=7

Step-by-step explanation:

The directrix of the equation is x=7

The directrix of a parabola is a line that is perpendicular to the axis of the parabola. The directrix of the parabola helps in defining the parabola. A parabola represents the locus of a point which is equidistant from a fixed point called the focus and the fixed line called the directrix. The directrix and the focus are equidistant from the vertex of the parabola. Here we define the directrix for the standard equations of a parabola.

Given:

-8(x-5)=(y+1)²

Now, using the definition of directrix

x= 8/4 +5

x= 2+ 5

x= 7

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Answer:

0.8

Step-by-step explanation:

80 divided by 100 = .8 or 0.8

Answer:

C) 10 inches

Step-by-step explanation:

I think the simplest way to do this is as follows:

divide 75 by 15 to get how many times you need to multiply 2in by

75/15=5

since 15(5)=75 or the actual size of the airplane,

2(5)=10 which is the size of the model airplane

Answer: A. -1

Step-by-step explanation:

(x - 2)2 + 5(x - 2) = -6

2x-4 + 5x -10= -6

Combine like terms

7x-14=-6

Add 14 to both sides

7x=8

Divide

X= 8/7 or 1.14 (rounded)

1.14 - 2= -0.86 which can be rounded to -1

Answer:

7.25h=348

Step-by-step explanation:

12.56

Step-by-step explanation:

A = π x r^2

r =2

2^2 = 4

π × 4 = 12.56

Answer:

Step-by-step explanation:

tanα=h/d, where α=angle of elevation, h=height, d=horizontal distance.

d=h/tanα, we are given that h=4ft and α=4.76° so

d=4/tan4.76° ft

d≈48.04 ft  (to nearest hundredth of a foot)

Answer:

262.5 dollars

Step-by-step explanation:

17.5% of 1500 is 262.5

Answer:

262.50

Step-by-step explanation:

change 17.5% into 0.175 then multiply it by 1,500

Answer:

2/5 is the rate in cups of lime juice

Answer:

2/5 is the rate in cups of lime juice

Step-by-step explanation:

yes

Answer:

A

Step-by-step explanation:

A. 8(3+8x)

8 times 3 is 24. 8 times 8 is 64 making it 24+64x

Answer:

The 16ᵗʰ term of this sequence is 82

Step-by-step explanation:

Here,

First Term = a₁ = 9

Common Difference = (d) = 2

Now, For 16ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₁₆ = 7 + (16 - 1) × 2

a₁₆ = 7 + 15 × 5

a₁₆ = 7 + 75

a₁₆ = 82

Thus, The 16ᵗʰ term of this sequence is 82

-TheUnknownScientist

Answer:

The fourth answer choice: 10 + 1.50n < 50

I would appreciate Brainliest but no worries.

Answer:

onomatopoeia

Step-by-step explanation Onomatopia is when the author uses sounds in their writing. In this case ooohing and ahhing were the sounds.

hi

if it's intersect, then :  

4x-10 = -4x+8

-10-8 = -4x-4x

 -18  = -8x

 -18/-8 = x

   18/8 = x

   9*2 /4*2 = X

   9/4 = X

So X is  9/4   then y  is  :   4( 9/4) -10 =  9-10 = -1  

Lines intercept at   (  9/4 ; -1)

Answer:

y=-0.6875x -1.8125

y= -11/16x -29/16

Step-by-step explanation:

Answer:

I think the answer is b

Step-by-step explanation:

Answer:

C I think

Step-by-step explanation:

What C is essentially saying is that if the lines l and m intersect and form two angles next to each other that are equal then they will be 90 degrees

this is true because if two lines intersect they will form 4 angles and since vertical angles are equal the only way for adjacent angles to be equal is for everything to be 90 degrees which then makes the lines perpendicular

Answer:

6:9 or (2:3)

Step-by-step explanation:

A ratio is a term that gives comparison of values. It helps to determine

how much of a particular thing that is compare to other thing.

Given:

numbers of blue marbles= 6

numbers of red marbles= 9

Hence, ratios that represent the numbers of blue marbles to red = 6:9

We can reduce it using factor of 3, hence the ratio becomes(2:3)

Answer:

Likely

Step-by-step explanation:

The probability of occurrence of a certain event Given as 95% has a high probability figure and hence such event is LIKELY to occur. We cannot class this probability percentage as certain because, an event which is certain to occur who'll have a probability percentage of 100% or a value of 1. Therefore, a probability percentage of 95% occurrence still has 5% Chace of not happening, hence it is only very likely to occur. Hence, the phrase which best describes the probability of an event with 95% probability happening is LIKELY.

Answer:

10

Step-by-step explanation:

the is answe is 10 sheeesh

Answer:

1/5

Step-by-step explanation:

go up one unit from point (0,1) then go 5 units to the right until you reach point (5,2)

Answer:

2

Step-by-step explanation:

1 + 1 = 2

Answer:

the answer is 2

Step-by-step explanation:

1+1=2

Answer:

A . $46

Step-by-step explanation:

because 575 - 8% = 529

529 + 49 = 575