Triangle CDE is similar to triangle FGH. Find the measure of side GH. Round your
answer to the nearest tenth if necessary.
E
H
11.4
D
7
F
G
31

Triangle CDE Is Similar To Triangle FGH. Find The Measure Of Side GH. Round Youranswer To The Nearest

Answers

Answer 1

The measure of side GH is 50.486 units.

Two triangles are similar if they share the same set of internal angles, that is, the following conditions are met:

[tex]\angle C \cong \angle F[/tex] (1)

[tex]\angle E \cong \angle H[/tex] (2)

[tex]\angle D \cong \angle G[/tex] (3)

Then, we can determine the length of the line segment [tex]GH[/tex] by the following relationship:

[tex]\frac{CD}{FG} = \frac{DE}{GH}[/tex] (4)

If we know that [tex]CD = 7[/tex], [tex]FG = 31[/tex] and [tex]DE = 11.4[/tex], then the value of the line segment [tex]GH[/tex] is:

[tex]GH = \frac{FG\cdot DE}{CD}[/tex]

[tex]GH = \frac{31\cdot 11.4}{7}[/tex]

[tex]GH = 50.486[/tex]

The measure of side GH is 50.486 units.

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Related Questions

60% of the 7th grade students take the bus. If there were 120 students on the busses, how many 7th grade students are there?

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120 = 60%
2 = 1%
200 = 100%

there are 200 students

Answer: 200 Students

Step-by-step explanation:

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Step-by-step explanation:

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Kim needs 10 cups of apple juice for a recipe. How many quarts does she need?

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She will need 2.5 quarts.

Kim will need 2.5 quarts.

How to find the quarts she needs?

Given = 10 cups quarter

From the given data = 10/4

⇒ 2.5

The answer is 2.5 quarts.

What does 1 quart equal to in cups?

There are 4 cups in 1 quart. There are 8 cups in 2 quarts. There are 16 cups in 4 quarts.

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The Zenith occurs in fall equinox. At the same day, find the altitude of the sun at noon at Phnom Penh city (11.50N).

Note: subject Earth Science.

Answers

Answer:

  78.50°

Step-by-step explanation:

On either equinox, the sun is overhead at the equator. At 11.50 N, the sun will be at elevation ...

  90° -11.50° = 78.50°

PLEASE HELP ME!!! I"L GIVE BRAINLEST


3m + 3

m = -7

-12

-18

-16

24

Answers

Answer:

m = [tex]\frac{-421}{6}[/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

x

Step 1: Simplify both sides of the equation.

3m+3m=−7−12−18−(16)x(24)

3m+3m=−7+−12+−18+(−384)

(3m+3m)=(−7+−12+−18+(−384))(Combine Like Terms)

6m=−421

6m=−421

Step 2: Divide both sides by 6.

[tex]\frac{6m}{6} =\frac{-421}{6}[/tex]

m = [tex]\frac{-421}{6}[/tex]

I really hope this help's :)

Which situation results in a zero balance?
A Jenny uses her credit card to buy a $1,400 refrigerator and then makes a payment of
$1,400 to her credit card company.
B Pedro deposits $2,346 into a new checking account and then writes a check for $346.
C Eliza spends $150 on supplies for her business and then spends $150 in rent.
D Juanita earns $75 from her job and receives $75 from her sister.

Answers

Answer:

A

Step-by-step explanation:

0 - 1400 = -1400 + 1400 = 0

The answer to This question is A

Your friend has $100 when he goes to the fair. He spends $10 to enter the fair and $29 on food. Rude lady at the fair cost $2 per rude. Which function can be used to determine how much money he had left over after x rides?

Answers

Answer:

y=-2x-39

Step-by-step explanation:

Answer:

100=39+2x

Step-by-step explanation:

hoped that hedlp:P

Triangle ABC is rotated clockwise about the origin through 90°. The resulting triangle is then
rotated clockwise about the origin through 270° Identify the vertices of the triangle after
these transformations

Answers

When a shape is rotated, it must be rotated through a point.

The vertices of the triangle would remain unchanged after both transformations

Assume the coordinates of triangle ABC is (x,y).

The first rotation is 90 degrees clockwise rotation.

The rule of this transformation is:

[tex](x,y) \to (y,-x)[/tex]

Next, the triangle is rotated 270 degrees clockwise.

The rule of this transformation is:

[tex](x,y) \to (-y,x)[/tex]

So, we have:

[tex](y,-x) \to (x,y)[/tex]

Hence, the vertices of the triangle would remain unchanged after both transformations

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PLZ HELP!! I will give points!

Answers

Answer:

a is -2,1        b is -3,3        c is -1,3

Step-by-step explanation:

Find the center of the circle that you can circumscribe about DABC.
. A(2, 8), B (0,8), and C (2,2)

Answers

The center of the circle that circumscribe about DABC is [tex](h,k) = (1, 5)[/tex].

A circle can be modelled after a expression of the form:

[tex]A\cdot x + B\cdot y + C =-x^{2}-y^{2}[/tex] (1)

We can determine all coefficients by knowing three distinct points on plane.

If we know that [tex](x_{1}, y_{1}) = (2, 8)[/tex], [tex](x_{2}, y_{2}) = (0, 8)[/tex] and [tex](x_{3}, y_{3}) = (2, 2)[/tex], then the solution of the system of linear equations is:

[tex]2\cdot A + 8\cdot B + C = -68[/tex] (2)

[tex]8\cdot B + C = -64[/tex] (3)

[tex]2\cdot A + 2\cdot B + C = -8[/tex] (4)

[tex]A = -2, B = -10, C = 16[/tex]

Now we proceed to complete squares and factor each resulting perfect square trinomial in order to determine the coordinates of the center of the circle:

[tex]x^{2}+y^{2}-2\cdot x -10\cdot y +16 = 0[/tex]

[tex](x^{2}-2\cdot x +1)-1+(y^{2}-10\cdot y +25)-25 +16 = 0[/tex]

[tex](x-1)^{2}+(y-5)^{2}= 10[/tex]

The center of the circle that circumscribe about DABC is [tex](h,k) = (1, 5)[/tex].

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Find the perimeter and area of a rectangle with the sides 3 3/10 meters and 6 2/3 meters

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pls say area AND perimeter

Answers

Area = 22
Perimeter = 19
Hope this helps!

A jacket's REGULAR price is $65.00. It is on clearance for 40% off. you have to pay 5% sales tax What is the final price for the jacket. Please show how to calculate the 5% sales tax thoroughly.

Answers

Answer:

circle tttdonuts

Step-by-step explanation:

d crystal

Is squirrel?
??????????????????????????????????????????????????????????????????????????????????

Answers

Answer: yes squirrel is ?????

PLS HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

R=11cm, r=3cm

Step-by-step explanation:

π(R²-r²) = π(121-9) = 112π cm² = 35.63cm².

hope this helps you.

10. Given m and b, write the equation of the line:

m=-4; b=2

Answers

Answer:

y= -4x + 2

Step-by-step explanation:

Y= mx + b is used to find the equation of the line

m=-4 a d b= 2

So, you put them into the equation.

PLEASE HELP 40 POINTS PLSSSSSSSS
The graph shows the relationship between pounds of dog food and total cost in dollars for the dog food.
which statements about the graph is are true?
A Point shows the cost is $0 for 0 pound of dog food
B Point 10.5 shows the cost is $1 for 0.5 pound of dog food
C. Point 2. 1 shows that 2 pounds of dog food cost $1.
D. Point 2) shows the cost is $4 tor 2 pounds of dog food
E Point 10. shows that 10 pounds of dog food costs $5

Answers

Answer:

Point C

Step-by-step explanation:

Trust me it is correct

make me brainiest because I answered first pls

Exterior Angles and Isosceles Triangles

Answers

Step-by-step explanation:

this is not an isoceles triangle.

anyway, we need to remember 2 things :

1. the sum of all angles in a triangle is always 180°.

2. the sum of all angles around a single point on a line is 360° (as this point wound be the center of an invisible circle). and as the line cuts this circle in half, the angles on one side of the line around this point is therefore 180°.

so, the internal angle Q is then

180 = 50 + 55 + Q

Q = 180 - 50 - 55 = 180 - 105 = 75°

the exterior angle x at Q is then

180 = Q + x = 75 + x

x = 180 - 75 = 105°

Exterior angles =180-75=105
Interior angles =180_69=111

There are 3 cyan, 9 magenta and 15 yellow printer cartridges in a box.

We pick one at random, then pick another one, without replacement.

What is the probability that both of them will be cyan?

Answers

Answer: Less likely since the number of cyan is quite lower or the lowest in comparison of magenta and yellow.

what is the probability of flipping 3 coins on the same side that is getting either all heads or all tails? write the exact decimal answer withput rounding

Answers

There are 8 possible outcomes for tossing three coins. Two of these outcomes are either all heads or all tails, Therefore there is a 28=14=0.25=25% chance of getting all heads or all tails.

Find the solution(s) for x in the equation below.
x2 – 25 = 0

Answers

Answer:

x=5,-5

Step-by-step explanation:

Find the area of the figures
4 cm
T
4 cm
12 cm
8 cm
The area is
square centimeters

Answers

Answer:

120 [cm²].

Step-by-step explanation:

1) the required area is A=Area(ABCEFD)=Area(ABCD)+Area(CEFD);

2) Area of ABCD: Area(ABCD)=AB*BC=12*8=96 [cm²];

3) Area of CEFD: Area(CEFD)=0.5(CD+EF)*HD=0.5*(8+4)*4=24 [cm²];

4) finally, the required area is: A=96+24=120 [cm²].

all the details are provided in the attachment.

I actually need help please help quickly

Answers

Answer:

NEED MORE

Step-by-step explanation:

The image shows the fossilized remains of Glyptodon, an animal group that became extinct about 10,000 years ago, and a modern armadillo. Both animals are mammals that share similar physical characteristics, such as short legs, a long tail, and a shell composed of bony plates. Which is the best explanation for the similarity between Glyptodon and the armadillo? The armadillo and Glyptodon descended from unrelated animals. The armadillo and Glyptodon descended from unrelated animals. The armadillo and Glyptodon are the same species. The armadillo and Glyptodon are the same species. The armadillo and Glyptodon lived in different environments. The armadillo and Glyptodon lived in different environments. The armadillo and Glyptodon descended from a common ancestor. The armadillo and Glyptodon descended from a common ancestor.

Answers

Answer

The armadillo and Glyptodon descended from a common ancestor.

Step-by-step explanation:

d= sqrt ( 2 )^ 2 +( 12 )^ 2

Answers

Answer:

d = 146

Step-by-step explanation:

Answer:

d=146

Step-by-step explanation:

the sqrt of 2(2) is 4 which can be simplified to 2 and the 12 raised to the second power is 144 so 2+144 is 146

Please help I will give good points! Fake answers=report

Answers

Answer:

159

Step-by-step explanation:

10^2+(3+5)^2-5

First do the parentheses: 3+5 is 8

Now the equation is

10^2+8^2-5

Exponents:

10^2 is 100

8^2 is 64

100+64-5

Simplify and you would get 159

Thus the answer is 159

Hope this helps!

First thing we want to know is what it is asking us.

So, it is asking us to evaluate this expression. Which means to find the answer to it.

Second thing is the order of Operations.

P- (Parentheses)

E-Exponents

M Multiplication

D Division

A Add

S Sub

Now that we know what that means, we may now solve it.

you see a parenthesis, right? Do what is inside first

1.3+5=8

Now there is a exponent by the parentheses. We do that next

(Exponent means we times that number by the number. Like 4 to the power of 3 is really just 4x4x4)

2.8 to the power of 2 is 8x8 which is 64.

So, we got 64 down let's see our equation now.

10^2+64-5

Now, the next step in PEMDAS Is to do the exponents. 10 to the power of 2 is really just 10x10.

(A trick is that if you see the little number beside the 10, it means how many zeros there are like 10to the power of 2 is 100)

So, our new equation is

100+64-5.

Now all we have to do it add and sub right to left

100+64=164

Our new equation is 164-5 which is 159.

I hope this helps! If it's wrong blame me..

Is the following statement true or false? If false, replace the bold word to make the statement
true.
A rhombus is an equiangular quadrilateral

Answers

Answer:

replace rhombus with square, or rectangle

Step-by-step explanation:

you need to prepare 50 portions of broccoli flowers. A prepared portion weighs 0.090kg. Trimmings account for 25% of the total weight. How much broccoli do you need to order ?

Answers

The amount of broccoli needed to be ordered to prepare 50 portion of broccoli flower is 3.375 kg.

You need to prepare 50 portions of broccoli flowers.

A prepared portion weighs 0.090 kg.

Trimming accounts for 25% of the total weight.

Therefore, to find how much broccoli is needed to order can be calculated as follows:

Trimming account for 25% of 0.090  = 0.0225 kg The remaining weight(broccoli) required  = 0.090 - 0.0225 = 0.0675 kg

Therefore,

the broccoli needed to be ordered = 0.0675 × 50 = 3.375 kg

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Need some help :(
A)12.7
B)13.3
C)12.4

Answers

Answer:

i am just here for points

Step-by-step explanation:

How many problems of each point value are on the test? 10 problems worth 5 points and 25 problems worth 2 points 14 problems worth 5 points and 15 problems worth 2 points 16 problems worth 5 points and 13 problems worth 2 points 15 problems worth 5 points and 13 problems worth 2 points.

Answers

The question is an illustration of system of equations

There are 14 problems worth 5 points and 15 problems worth 2 points

The system of equations is given as:

[tex]x + y = 29[/tex]

[tex]5x + 2y = 100[/tex]

Make x the subject in [tex]x + y = 29[/tex]

[tex]x = 29 - y[/tex]

Substitute 29 - y for x in [tex]5x + 2y = 100[/tex]

[tex]5(29 - y) + 2y = 100[/tex]

Open brackets

[tex]145 - 5y + 2y = 100[/tex]

Evaluate like terms

[tex]145 - 3y = 100[/tex]

Collect like terms

[tex]- 3y = 100-145[/tex]

Evaluate like terms

[tex]- 3y = -45[/tex]

Divide both sides by -3

[tex]y = 15[/tex]

Substitute 15 for y in [tex]x = 29 - y[/tex]

[tex]x = 29 - 15[/tex]

[tex]x = 14[/tex]

This means that there are 14 problems worth 5 points and 15 problems worth 2 points

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Find an equation of a degree 3 polynomial (in factored form) with the given zeros of f(x): -5, -3,1.
Assume the leading coefficient is 1.

Answers

Answer:

f(x) = x^3 + 7x^2 + 7x -15

Step-by-step explanation:

f(x) = (x+5)(x+3)(x-1)

f(x) = (x^2 + 3x + 5x + 15)(x-1)

f(x) = (x^2 + 8x + 15)(x-1)

f(x) = x^3 + 8x^2 + 15x -x^2 -8x -15

simplify

f(x) = x^3 + 7x^2 + 7x -15

Answer:

[tex]f(x) = (x + 5)\, (x + 3)\, (x - 1)[/tex].

Step-by-step explanation:

By the factor theorem, if a constant [tex]a[/tex] is zero of the polynomial [tex]f(x)[/tex], [tex](x - a)[/tex] would be a factor of this polynomial. (Notice how [tex]x = a[/tex] would indeed set the value of [tex](x - a)\![/tex] to [tex]0[/tex].)

For instance, since [tex](-5)[/tex] is a zero of the polynomial [tex]f(x)[/tex], [tex](x - (-5))[/tex] would be a factor of [tex]f(x)\![/tex]. Simplify this expression to get [tex](x + 5)[/tex].

Likewise, the zero [tex](-3)[/tex] would correspond to the factor [tex](x + 3)[/tex], while the zero [tex]1[/tex] would correspond to the factor [tex](x - 1)[/tex].

All three of these factors above are linear, and the degree of the variable [tex]x[/tex] in each factor is [tex]1[/tex]. Multiplying three such linear factors would give a polynomial of degree [tex]3[/tex].

Given the three factors, the expression of [tex]f(x)[/tex] in factored form would be:

[tex]f(x) = m\, (x + 5)\, (x + 3)\, (x - 1)[/tex] for some constant [tex]m[/tex].

When this expression is expanded, the constant [tex]m[/tex] would be the coefficient of the [tex]x^{3}[/tex] term (the leading term.) In other words, [tex]m\![/tex] is the leading coefficient of [tex]f(x)[/tex]. This question has required this coefficient to be [tex]1[/tex]. Thus, [tex]m = 1[/tex]. The expression of [tex]f(x)\![/tex] in factored form would be:

[tex]f(x) = (x + 5)\, (x + 3)\, (x - 1)[/tex].

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