if triangle dgh is congruent to triangle def find the value of x

Answer:

17.6 lbs

1kg=2.2lbs

Multiply each side by 8

8kg=17.6 lbs

Step-by-step explanation:

So heres the short answer: 8kg = 17.637 lbs

Hope it helps!!

The quantity 8 kilograms can be written in pounds as 17.6 pounds.

The given quantity is 8 kilograms.

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

We know that 1 kg = 2.2 pounds

Here, 8 kg = 8×2.2

= 17.6 pounds

Therefore, the quantity 8 kilograms can be written in pounds as 17.6 pounds.

To learn more about the metric conversion visit:

brainly.com/question/21244256.

#SPJ6

Answer:

7

Step-by-step explanation:

10=2(7)-4

10=14-4

Answer:

122 adults

Step-by-step explanation:

1049.20(price of tickets sold)÷8.60(ticket price per adult)=122

Answer:

1.042755456*10^21

Step-by-step explanation:

Answer:

$3.29

Step-by-step explanation:

You need to find the unit price by dividing the cost by the amount.

24.33/7.4 = 3.29

Therefore, one pound of ham is $3.29.

Answer:

1. $3.29

2. $4.60

Step-by-step explanation:

Answer:

37.5

Step-by-step explanation:

The line which marks the height 25\sqrt325  

3

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25, square root of, 3, end square root of the large triangle is vertical, and the base of the triangle is horizontal, so their intersection is a right angle. The angles in the large triangle add up to \piπpi, so the remaining angle is:

\qquad \begin{aligned} \pi - \dfrac\pi2 - \dfrac\pi6 =& \dfrac\pi3 \end{aligned}  

π−  

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The original triangle L U R is shown, but now the length of segment U D is shown to be '25 times the square root of 3', and angle U L R is shown to have a measure of ' pi divided by 3' radians.

The original triangle L U R is shown, but now the length of segment U D is shown to be '25 times the square root of 3', and angle U L R is shown to have a measure of ' pi divided by 3' radians.

Hint #2

Looking at the left triangle ULDULDU, L, D, the hypotenuse length LULUL, U is:

\qquad \begin{aligned} \dfrac{25\sqrt3}{\sin\!\left({\Large\frac\pi3}\right)} \end{aligned}  

sin(  

3

π

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25  

3

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Looking at the big triangle LURLURL, U, R, we see that the base length LRLRL, R is:

\qquad \begin{aligned} &\left(LU\right)\dfrac{1}{\sin\!\left({\Large\frac\pi6}\right)} \\ \\ =&\left(\dfrac{25\sqrt3}{\sin\!\left({\Large\frac\pi3}\right)}\right)\dfrac{1}{\sin\!\left({\Large\frac\pi6}\right)} \\ \\ =&\left(\dfrac{25\sqrt3}{ \quad\large\frac{\sqrt{3}}{2}\quad }\right)\dfrac{1}{ \quad\large\frac{1}{2}\quad } \\ \\ =&\left(\dfrac{25}{ \quad\large\frac{1}{2}\quad }\right)\dfrac{1}{ \quad\large\frac{1}{2}\quad } \\ \\ =&100 \\ \end{aligned}  

=

=

=

=

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(LU)  

sin(  

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1

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sin(  

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25  

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sin(  

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1

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25  

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1

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1

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25

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1

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100

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Hint #3

The large triangle has uniform thickness, so the inner triangle's sides are parallel to the outer triangle's sides. Therefore, the inner triangle's angles are congruent to the outer triangle's angles. The two triangles are similar.

Hint #4

Similar triangles have proportional lengths, so we can set up the equation:

\qquad \begin{aligned} \dfrac{h}{w} =& \dfrac{H}{W} \\ \\ \dfrac{h}{50\sqrt{3}} \approx& \dfrac{25\sqrt3}{100} \end{aligned}  

w

h

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50  

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h

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W

H

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100

25  

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Hint #5

\qquad\qquad\, \begin{aligned} \dfrac{h}{50\sqrt{3}} \approx& \dfrac{\sqrt3}{4} \\ \\ {h} \approx& \dfrac{{50\sqrt{3}}\sqrt3}{4} \\ \\ {h} \approx& \dfrac{25\cdot3}{2} \\ \\ h \approx& 37.5 \\ \\ \end{aligned}  

50  

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h

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h≈

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h≈

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3

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4

50  

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3

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2

25⋅3

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37.5

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Hint #6

To the nearest tenth, the height of the inner triangle is:

\qquad\qquad\, \begin{aligned} h \approx& 37.5 \end{aligned}  

h≈

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37.5

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*note: The answers 37.337.337, point, 3 and 37.437.437, point, 4 may have been obtained by other methods of solving for hhh since this is an approximation. Those answers are also accepted as correct.

Two triangles are similar if the sides of both triangles can be represented as equivalent ratios. The height of the shaded triangle is 37.5 units.

Given that:

[tex]\overline{UD} = 25\sqrt 3[/tex]

[tex]w = 50\sqrt3[/tex]

See attachment

First, we calculate side length [tex]\overline{LD}[/tex].

This calculated using tangent trigonometry ratio

[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]

So, we have:

[tex]\tan(90-\frac{\pi}{3}) = \frac{\overline{UD}}{\overline{LD}}[/tex]

[tex]\tan(90-30) = \frac{\overline{UD}}{\overline{LD}}[/tex]

[tex]\tan(60) = \frac{\overline{UD}}{\overline{LD}}[/tex]

This gives:

[tex]\tan(60^o) = \frac{25\sqrt3}{\overline{LD}}[/tex]

Make LD the subject

[tex]\overline{LD}= \frac{25\sqrt3}{\tan(60^o)}[/tex]

[tex]\overline{LD}= \frac{25\sqrt3}{\sqrt 3}[/tex]

[tex]\overline{LD}= 25[/tex]

Next, we calculate side length [tex]\overline{DR}[/tex].

This calculated using tangent trigonometry ratio

[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]

So, we have:

[tex]\tan(\frac{\pi}{6}) = \frac{\overline{UD}}{\overline{DR}}[/tex]

This gives:

[tex]\tan(30^o) = \frac{25\sqrt3}{\overline{DR}}[/tex]

Make DR the subject

[tex]\overline{DR}= \frac{25\sqrt3}{\tan(30^o)}[/tex]

[tex]\overline{DR}= \frac{25\sqrt3}{1/\sqrt 3}[/tex]

[tex]\overline{DR}= 25\sqrt3 \times \sqrt 3[/tex]

[tex]\overline{DR}= 25 \times 3[/tex]

[tex]\overline{DR}= 75[/tex]

Calculate side length [tex]\overline{LR}[/tex]

[tex]\overline{LR} = \overline{LD}+\overline{DR}[/tex]

[tex]\overline{LR} = 25+75[/tex]

[tex]\overline{LR} = 100[/tex]

Because the triangle has a uniform thickness, the small and the big triangle are similar triangles.

So, the height (h) is calculated using the following equivalent ratios

[tex]h:w =\overline{UD}:\overline{LR}[/tex]

Express as a fraction

[tex]\frac hw =\frac{\overline{UD}}{\overline{LR}}[/tex]

Make h the subject

[tex]h =\frac{\overline{UD}}{\overline{LR}} \times w[/tex]

Substitute known values

[tex]h =\frac{25\sqrt3}{100} \times 50\sqrt 3[/tex]

[tex]h =\frac{3750}{100}[/tex]

[tex]h =37.50[/tex]

Hence, the height of the shaded triangle is 37.5 units.

Read more about similar triangles at:

https://brainly.com/question/16919171

Answer:

As we can see, for infinite values of x, there are corresponding infinite values of y. Thus, the given equation has infinite solution.

Step-by-step explanation:

Answer:

one solution

Step-by-step explanation:

you can only multiply 5 by one number (0.4) to get 2

lmk if this doesn't make sense

According to opposite angles converse, b and d are equal.

This meant that 2x+16=4x

Now we solve getting

2x-16

x=8

Answer:

=7±5√

Step-by-step explanation:

is easy and no hard

Answer:

5/2

Step-by-step explanation:

Answer:

5/2 is the largest fraction.

Step-by-step explanation:

To find the largest fraction, we can convert some using the LCD (least common denominator)

Keep 5/6 as is.

1/3 = 2/6

3/2 = 9/6

5/2 = 15/6

So, 5/2 is the largest fraction.

Answer:

53 degrees

Step-by-step explanation:

Complimentary angles are angles whose sum equals 90 degrees.

90-37 = 53

Answer:

m∠RPQ = 53°

53 degrees

Step-by-step explanation:

When two angles are complementary angles, it means they add up to 90 degrees (Ex: a 10° angle and 80° angle would be complementary).

Therefore, if ∠SPR and ∠RPQ are complementary, then

m∠SPR + m∠RPQ = 90°

since you are given that m∠SPR = 37°, you can plug that in for m∠SPR to find m∠RPQ:

m∠SPR + m∠RPQ = 90°

37° + m∠RPQ = 90°

m∠RPQ =  90° - 37°

m∠RPQ = 53°

Answer:

The answers is 5x + 13

It Equal to 5x + 13

Answer:

The answer is 2

All lines that are parallel have the same slope

Answer:

the slope is (2)

Step-by-step explanation:

Two lines that are parallel to each other have the same slope so,

the equation y=2x+5 is in the form y=mx+c

where m is the slope of the line so if we compare both equations we can see that the slope of the line given will be 2 and therefore, the slope of the line parallel to it will be the same (2)

Answer: (C) 25 lawns

Step-by-step explanation: he has 15 cars so his you follow the line from the graph it will end at 25 lawns

sorry this is a bad explanation but C is correct-

Answer:

12,20

Step-by-step explanation:

That's the answer

Answer:

option (3)is correct, take 180 +180=360

Step-by-step explanation:

I DON'T KNOW IF THIS IS CORRECT IM SORRY IF IT'S WRONG!!!!!!

Answer:

The answer is we. Pronouns are I, you, he/she/it, we, you, they.

Answer:

2:we.............

Answer; I THINK IT Y x 16

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula of a distance between two points

[tex]A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}[/tex]

We have

[tex]A(3;\ 7);\ B(-5;\ -8)[/tex]

Substitute

[tex]|AB|=\sqrt{(-5-3)^2+(-8-7)^2}=\sqrt{(-8)^2+(-15)^2}\\\\=\sqrt{64+225}=\sqrt{289}=17[/tex]

Answer:

Very simple 6th graders

Step-by-step explanation:

7 X 5 = 35 DIVIDE3D BY 2 = 17.5 THAT IS THE TRIANGLE BUT I CAN NOT SEE THE OTHER.

but i will still help

the number on the top needs to be multiplyed by the number on the side and then add it to the 17.5 and that is your answer

Answer:

Step-by-step explanation:

Answer:

C. Disagree

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

18 - 2r and 4r are the same length so the equation would be:

18 - 2r = 4r

Move the 2r to the other side

18 = 6r

Divide it by 6 to get r by itself

r = 3

Answer:

write 2 mixed whats

Step-by-step explanation:

litros de agua porque nolose pero quiero los pùntos