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

If Triangle Dgh Is Congruent To Triangle Def Find The Value Of X

Answers

Answer 1

Answer:

x = 25

Step-by-step explanation:

[tex] \triangle DGH\sim\triangle DEF... (given) [/tex]

[tex] \frac{DG}{DE} =\frac{GH}{EF} [/tex]

[tex] \frac{52}{91} =\frac{x+3}{2x-1} [/tex]

[tex] \frac{4}{7} =\frac{x+3}{2x-1} [/tex]

4(2x - 1) = 7(x + 3)

8x - 4 = 7x + 21

8x - 7x = 21 + 4

x = 25


Related Questions

Please solve the quadratic equation in 4 steps

x^2-14x+49=5

Answers

Answer:

=7±5√

Step-by-step explanation:

is easy and no hard

Can yall check if I did this correct plus I will give you brainliest if you answer no joke promise❤​

Answers

Yes, that’s correct!

I can find the common denominator of fractions with unlike denominators.

A.
strongly agree

B.
agree

C.
disagree

D.
strongly disagree

Answers

Answer:

C. Disagree

HOPE IT HELPED

Step-by-step explanation:

PLEASE HELP ILL GIVE BRAINLIEST

Answers

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)

Paul graphed the equation y = 6 + x. Which point (x, y) does the graph NOT pass through?

Group of answer choices

(12, 20)

(6, 12)

(0, 6)

(9, 15)

Answers

Answer:

12,20

Step-by-step explanation:

That's the answer

Find the distance between the two points listed below.
(3,7) and (-5, -8)

Answers

Answer:

17

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]

17 because when graphing the first number goes five squares to the left and 8 squares down there’s where u plot the first point the second u go three squares to the right and seven squares up

Find the area of the trapezoid?

Answers

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

A small glass holds about 250 what ?

Answers

litros de agua porque nolose pero quiero los pùntos

Solve 5x = 2. How many solutions does the equation have?

Answers

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

Help please.
Angle SPR and angle RPQ are complementary. Find the measure of angle RPQ.

Answers

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°

y = 3x do this fast plz

Answers

Answer:

Step-by-step explanation:

Expand and simplify 4(2x +7) – 3(x + 5)

Answers

Answer:

The answers is 5x + 13

It Equal to 5x + 13

Write an equation to express y in terms of x
x 10 20 30 40
y 6 16 26 36

Answers

Answer; I THINK IT Y x 16

Step-by-step explanation:

Solve:
5x-2y = 6
5x-2y = -4

Please show your work or explain what method you used to solve it (substitution, graphing, or elimination)

Answers

No solution they are the same equation with different answer so there can’t be an answer

Find the value of r. I have no clue.

Answers

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

10. Identify the pronoun in this sentence.
Everything we have done has been by the book.
answers
1: she
2:we
3:everything
4:by


Answers

Answer:

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

Answer:

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

10=2x - 4 what is the answer

Answers

Answer:

7

Step-by-step explanation:

10=2(7)-4

10=14-4

Triangle lurlurl, u, r has a uniform thickness of 2.52.52, point, 5, as shown at left. the length of \overline{ud} ​ud ​ ​​ start overline, u, d, end overline, which is the height of the triangle, is 25\sqrt325√ ​3 ​ ​​ 25, square root of, 3, end square root. the triangle has a right angle at vertex uuu and an angle of \dfrac\pi6 ​6 ​ ​π ​​ start fraction, pi, divided by, 6, end fraction at vertex rrr. given that the width, www, of the shaded triangle is about 50\sqrt{3}50√ ​3 ​ ​​ 50, square root of, 3, end square root, what is the height, hhh, of the shaded triangle to the nearest tenth?

Answers

Answer:

37.5

Step-by-step explanation:

The line which marks the height 25\sqrt325  

3

​  

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−  

2

π

​  

−  

6

π

​  

=

​  

 

3

π

​  

 

​  

 

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

​  

)

25  

3

​  

 

​  

 

​  

 

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}  

=

=

=

=

​  

 

(LU)  

sin(  

6

π

​  

)

1

​  

 

​  

 

sin(  

3

π

​  

)

25  

3

​  

 

​  

 

​  

 

sin(  

6

π

​  

)

1

​  

 

​  

 

2

3

​  

 

​  

 

25  

3

​  

 

​  

 

​  

 

2

1

​  

 

1

​  

 

(  

2

1

​  

 

25

​  

)  

2

1

​  

 

1

​  

 

100

​  

 

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

​  

=

50  

3

​  

 

h

​  

​  

 

W

H

​  

 

100

25  

3

​  

 

​  

 

​  

 

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  

3

​  

 

h

​  

h≈

h≈

h≈

​  

 

4

3

​  

 

​  

 

4

50  

3

​  

 

3

​  

 

​  

 

2

25⋅3

​  

 

37.5

​  

 

Hint #6

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

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

h≈

​  

 

37.5

​  

 

*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

Which one of the following fractions is the largest?
5/6 1/3 3/2 5/2

Answers

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.

Angles B and C are called _________ angles.
A. Complimentary
B. Linear
C. Supplementary
D. Vertical

Answers

A I believe

Hope that helps!!
A is the answer because it’s slanted

write two mixed so that all rules are applied: one number is larger than the other by 4 2/3, the difference of the numbers is equal to the smaller number, and the sum of the differences is a natural number

Answers

Answer:

write 2 mixed whats

Step-by-step explanation:

how many pounds are in 8 kilograms?
1kg = 2.2Ibs
8kg = ? Ibs

Answers

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

7. log a + log b + log c = log (abc). True or False? *
O True
O False

Answers

true it is true uppppppp yup that’s is right

what is 1042755456328946324416+2462542​

Answers

Answer:

1.042755456*10^21

Step-by-step explanation:

Please help I’ll give brainliest

Answers

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:

can sombody please answer this.​

Answers

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!!!!!!

At the city museum, child admission is $5.30 and adult admission is $8.60. On Wednesday, 155 tickets were sold for a total of $1049.20. How many adult tickets were sold that day​

Answers

Answer:

122 adults

Step-by-step explanation:

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

Can someone help me answer this question

Answers

The answer is 25 cars

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-

find the slope of the line pictured

Answers

The answer is m because yessir

If angle b measures 2x + 16 degrees, and angle d is 4x degrees, what is x?

Answers

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

This meant that 2x+16=4x

Now we solve getting

2x-16

x=8

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