In the figure below, ACDE is similar to AFGH.
D
G
11
8
C
5 E
2X+4
F
H
If the perimeter of AFGH is 48 units, find the value of x.

In The Figure Below, ACDE Is Similar To AFGH.DG118C5 E2X+4FHIf The Perimeter Of AFGH Is 48 Units, Find

Answers

Answer 1

Answer:

6

Step-by-step explanation:

[tex]1)\ P_1 = 11 + 8 + 5 = 24\ units[/tex]

[tex]2)\ 2x + 4 + y +z = 48[/tex]

[tex]3)\ \frac{48}{24} = 2 => 2x+4 = 2*8[/tex]

[tex]4)\ 2x+4 = 2*8 => 2x + 4 = 16 => 2x = 12 => x = 6[/tex]

Answer 2

Answer:

6

Step-by-step explanation:

[tex] \triangle CDE \sim \triangle FGH[/tex]

[tex] \frac{P(\triangle CDE) }{P(\triangle FGH)} =\frac{CD}{GH} [/tex]

(Area of similar triangle theorem)

[tex] \frac{11+8+5}{48} =\frac{8}{2x +4} [/tex]

[tex] \frac{24}{48} =\frac{8}{2x +4} [/tex]

[tex] \frac{1}{2} =\frac{8}{2x +4} [/tex]

[tex] 2x + 4 = 2\times 8[/tex]

[tex] 2x + 4 =16[/tex]

[tex] 2x =16-4[/tex]

[tex] 2x =12[/tex]

[tex] x =\frac{12}{2} [/tex]

[tex] x = 6 [/tex]


Related Questions


The surface area of a figure is 62 cm^2. If the dimensions are multiplied by 4, what will be the surface area of the new figure?

Answers

Answer:

248 cm

Step-by-step explanation:

62×4=248

62+62=124+64=186+64=248 cm

Please answer quickly. I need help bad

The equation y-3=-2(x+1) represents a line. Which best describes the line?
A. slope: 4, passes through (1, -2)
B. slope: -2, passes through (-1,3)
C. slope 2, passes through (-3, 1)
D. slope 4. passes through (2, -1)

Answers

Answer:

B

Step-by-step explanation:

For triangle DEF, the length of side e and the measures of angles D and F are known. What method should be used to start solving triangle DEF?
A.law of sines
B.both laws can be used
C.neither law can be used
D.law of cosines

Answers

Answer: D. Law Of Cosines

Step-by-step explanation: A law in trigonometry: the square of a side of a plane triangle equals the sum of the squares of the remaining sides minus twice the product of those sides and the cosine of the angle between them.

Note: Answer is confirmed by Buzz/Acceleration Education.

All My Other Answers:

https://brainly.com/app/profile/13253466/answers

The sum of the interior angle of the triangle is 180 degrees. Then by the sine rule, angle E can be determined. Then the correct option is A.

What is trigonometry?

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

For triangle DEF, the length of side e and the measures of angles D and F are known.

We know that the sum of the interior angle of the triangle is 180 degrees. Then the angle E can be determined.

Hence the sine rule is easy to apply.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

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Which angles are vertical angles?

Answers

Answer:

Step-by-step explanation:

BCF and DCA


BCF and DCA
Just a bit of context : Vertical angles are angles that are opposite to each other, where the two lines cross.

A polygon has vertices at (4, 1), (4,7), (10, 7) and (10, 1). How does the perimeter of
the polygon change if each coordinate is multiplied by 3?

Answers

Answer: The perimeter triples

The perimeter goes from 24 to 72

24*3 = 72

==========================================================

Explanation:

I recommend plotting the four points on the same xy grid system. Connect the points with segments to form a rectangle. This rectangle is also a square. You should find that each side of the square is 6 units long, so the perimeter is 4*6 = 24 units.

If we multiply each coordinate by 3, then that will make each side length 3 times longer than before. That means each side is now 6*3 = 18 units long. The perimeter is 4*18 = 72 units.

Note how the jump from 24 to 72 is "times 3". Therefore, the scale factor of 3 will make the new perimeter 3 times longer compared to the old perimeter.

Which is the perimeter of the shape? (1 point)

Answers

Answer:

22

Step-by-step explanation:

4 x 2 + 7 x 2 = 22

Answer: 22

Step-by-step explanation:

to find perimeter you have to add up all the sides around a shape.

7 + 7 + 4 + 4 = 22

OR

7+7= 14

4 + 4 = 8

14 + 8 = 22

Tori drew a scale drawing of a picnic area near the river. The scale she used was 1 inch : 2 yards. If the picnic area is 47 inches wide in the drawing, how wide is the actual picnic area?

Answers

Answer:

94 yards

Step-by-step explanation:

2x47=94


A tv costs £1300. Work out the price after a 4.2% price increase.

Answers

Answer:

HII

1

Step-by-step explanation:

The tv would cost £1354.60

Does anyone know how to solve this?

Answers

Answer:

17 meters

Step-by-step explanation:

Plug x=30 into the equation H(x) = 11 + 0.2x

H(30) = 11 + 0.2 * 30

H(30) = 11 + 6

H(30) = 17

Thus, the answer is 17 meters.

True or False: When a preimage rotates 1/4
around an origin, the rotation is a 180 degree
turn.

Answers

Answer:

True :)

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

got it right

PLS HELP ASAP
In how many ways can a starting team of 5 players be chosen from a team of 14 players?

Answers

Answer:

So are we doing permutations

Step-by-step explanation:

P(14,5)14*13*12*11*10

There are 240,240 ways to order the team.

There are 240 ways a starting team of 5 players can be chosen from a team of 14 players.

What are permutations?

The different arrangements which can be made out of a given number of objects by taking out some or all at a time are called permutations.

Suppose there are n items.

Suppose we have

[tex]i_1, i_2, ..., i_k[/tex]

sized groups of identical items.

Then the permutations of their arrangements is given as

[tex]\dfrac{n!}{i_1! \times i_2! \times ... \times i_k!}[/tex]

P(14,5) = 14 x 13 x 12 x 11 x 10

           = 240

There are 240 ways to order a team of 14 players.

Learn more about permutations here:

https://brainly.com/question/16107928

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Two geometry questions in the attached photos - If I have a line, do I have a plane? & If I have three points, do I always have a plane?

Answers

Answer:

18) A: only if you have an additional point not on the line.

19) D: No, because all the points may be on the same line.

Step-by-step explanation:

There are basically 4 ways we can determine a plane and they are;

- When we have three non - collinear points: What this means is that if we have three points that are not on one line, then it means that only one particular plane can pass through those points.

- When we have a line and a point that's not on the line

- When we have two lines that intersect each other.

- When we have two lines that are parallel to each other.

From the four conditions above, we can now answer the question;

18) You can only have a plane if there is an additional point not on the line.

Option A

19) Having just three points may not always be sufficient to have a plane because it's possible that the three points may be on the same line which is not a condition for a plane. Thus, option D is correct.

Find the measure of the indicated angle. Round to the nearest tenth.
14
3
00
9
CC

Answers

Answer:

picture??

Step-by-step explanation:

Answer:

9 is the answer of this question

Find the missing dimension of the triangle. Area =14ft^2, height =6ft, base= ? Find the base.

Answers

Answer:  b = 14/3 = 4.667 feet

The decimal value is approximate. In reality the 6's go on forever. Round that however you need to.

================================================

Work Shown:

b = unknown base

h = height = 6 ft

A = area = 14 sq ft

A = b*h/2

14 = b*6/2

14 = b*3

14 = 3b

3b = 14

b = 14/3

This approximates to 14/3 = 4.667 ft

Stephanie borrowed $4,500 at a simple interest rate of 3.5% to buy a motorcycle. How much interest did she have to pay if the loan was taken out for 3 years?

Answers

C

Step-by-step explanation:

hope this helps

Of the 800 participants in a marathon, 120 are running to raise money for a cause. How many participants out of 100 are running for a cause

Answers

Im not sure about this question but- 120% of 800 equals- 15%, so 15% could be the answer

Find the zeros of the function. Enter the solutions from least to greatest. f (x)=(x -3)(2x -8)f(x)=(x−3)(2x−8)f, left parenthesis, x, right parenthesis, equals, left parenthesis, x, minus, 3, right parenthesis, left parenthesis, 2, x, minus, 8, right parenthesis \text{lesser }x =lesser x=start text, l, e, s, s, e, r, space, end text, x, equals \text{greater } x =greater x=start text, g, r, e, a, t, e, r, space, end text, x, equals

Answers

Answer:

Step-by-step explanation:

The zeros are the values of x for which f(x) = 0.

f(x) = (x-3)(2x-8) = 0

x = 3, 4

Jill and John each had a candy bar. Jill at ¾ of the candy bar and John at 3/8 of his candy bar. Who ate the most?

Answers

Answer:

John

Step-by-step explanation:

3/4 > 3/8

3/4 = 6/8

6/8 > 3/8

I need help ASAP please

Answers

Answer:

True, false, true

Step-by-step explanation:

Because the minimum value of f(x) is -1, and the minimum value of g(x) us -25. It comes only once.

Roots are the points on the x - axis or when the x is 0. The roots of f(x) are positive.

f(0) means when x is 0, so f(0) = 3 or 5, and g(0) = -24

A disinfectant spray bottle says it eliminates 90% of bacteria with each application. You apply the disinfectant once to a countertop in the shipping department and then apply the disinfectant again to the same countertop. If the bottle is correct, what percentage of the bacteria originally on the tabletop have been eliminated?

81%
90.09%
90.9%
99%
180%

Answers

99%
hope this helps :)

What is AB?
12
C
35
AB =

Answers

Answer:

37

Step-by-step explanation:

the equation is /a^2 + b^2 =c

so 12^2=144 and 35^2=1225

144+1225=1413

the square root of 1413 is equal to 37

The electrical resistance of a wire is directly proportional to its length.
A wire of length 10 feet has a resistance of 2 ohms.
ment
Part A
What is the resistance of a wire if its length is 25 feet?
20 ohms
6 ohms
50 ohms
5 ohms
10 ohms
ig
Part B
What is the length of a wire if its resistance is 8 ohms?
A
48 ft
4 ft
1.6 ft
32 ft
40 ft

Answers

Answer:

https://www.arlingtonschools.org/cms/lib/NY02215626/Centricity/Domain/5167/Skill39AK.pdf

Step-by-step explanation:

A cylindrical barrel has a height of 5 feet and a diameter of 4 feet. What is the approximate volume of the barrel?

Answers

Answer:

62.8 ft³

Step-by-step explanation:

Volume = π · r² · h

V = 3.14 · 2² · 5

V = 3.14 · 4 · 5

V = 62.8

find the surface area.

Answers

Answer:

solution given:

For triangle

side1=9ft

side2=10ft

base[b]=11ft

height[h]=7.7ft

and for rectangle

length [l]=3ft

wide [w]=9ft

Now

total surface area=lateral surface area +2curved surface area

=perimeter of triangle×length +2area of triangle

=(9+10+11)×3+2×1/2×2(½×b*h)

=90+11×7.7

=174.7

=175ft²is a required answer.

Someone please help me in this please.

Answers

Answer:

for the number 13

Step-by-step explanation:

[tex]x = \sqrt{9 { }^ {2} + 6 { }^{2} }[/tex]

by Pythagoras theorem

x= √81+36

x= √117

punch square root of 117 with a calculator, I don't have one now

Can someone prove 1+cosx/1+secx=cosx
with all the steps included?
Please and thank you.

Answers

Answer:

Proved , since LHS= RHS

Step-by-step explanation:

We need to prove the given expression ,

=> 1 + cos x / 1 + sec x = cos x

Simplifying LHS.

=> 1 + cos (x) / 1 + sec (x)

=> 1 + cos (x) / 1 + 1/cos (x)

=> 1 + cos (x) ÷ 1 + cos(x) / cos (x)

=> 1 + cos (x) × cos(x) / { 1 + cos (x) }

1 + cos (x) gets cancelled . So we are finally left out with ,

=> cos (x)

= RHS

Hence proved !

don bought the bookshelf for 42 dollars this was 3/4 of the regular price

Answers

Answer:

Regular Price = $56

Step-by-step explanation:

3/4 x = 42

42/3 * 4 = x

14 * 4 = 56

x - 56

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

HELP PLS PLS IM BEGGING

Answers

Answer:

to every 3 buckets with a shovel there is 4 buckets without a shovel

please help me rn!! no links!

Answers

Answer:

D

Step-by-step explanation:

please help me with this problem

Answers

9.75 and 10.2 is most likely the answer because they are both in other answers
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