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olga_2 [115]
3 years ago
14

Given that triangle QRS is similar to triangle DEF, what is x?

Mathematics
2 answers:
marta [7]3 years ago
4 0
So the ratio is 40/26 = 1.54

24 ÷ 1.54 = 15.58

2x-4 = 15.58

2x = 19.58

x = 9.8
klasskru [66]3 years ago
3 0

Answer:

x = 9.8

Step-by-step explanation:

Given that triangle QRS is similar to triangle DEF.

Hence, the ratio of corresponding sides of these triangles are equal.

Thus, we have

\frac{QR}{DE}=\frac{RT}{EB}

Substituting the known values from the given figure

\frac{26}{40}=\frac{2x-4}{24}

Cross multiplying, we get

40(2x-4)=26\cdot24\\\\80x-160=624\\\\80x=784\\\\x=\frac{784}{80}\\\\x=9.8

The value of x is 9.8

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1) the sum of three consecutive integers even is 3,2,1. find the integers.
BabaBlast [244]

3)The original rational number was 17/12.

4)The age of Ruby and Reshma are 20 and 28 years respectively.

Explanation:

3)Let the numerator be x.

So denominator will be (x - 5)

If we add 5 to numberator then it will be (x + 5)

New number is (x + 5)/(x - 5)=11/6

Solve for X by cross multiplying

6(x + 5)=11(x - 5)

6x + 30=11x - 55

5x=85

x=17

So original rational number was 17/12.

4)The ages of Ruby and Reshma are in the ratio 5:7

So, let the present ages of Ruby and Reshma be 5x and 7x respectively.

Also, it is given that four years from now the ratio of their ages will be 3:4

So, the equation - 5x + 4 / 7x + 3 = 3/4

⇒4(5x+4)=3(7x+4)

⇒20x+16=21x+12

⇒21x−20x=16−12

⇒x=4

⇒5x=20 and 7x=28

The age of Ruby and Reshma are 20 and 28 years respectively.

6 0
2 years ago
10 less than the product of
Snezhnost [94]

Answer:

x=45

Step-by-step explanation:

2/5x-10=8

2/5x=18

x=18÷2/5

x=18(5/2)

x=45

6 0
2 years ago
Read 2 more answers
Taylor was asked to solve the system of linear equations
yarga [219]
Id take a guess and say line 1 because the rest looks correct
4 0
3 years ago
What is the median of the following numbers?<br> 6,4, 1,9,3,8,3,5, 10
Sergeu [11.5K]

Median = 5

Mean = 5.4444444444444

Mode: 3

Range = 9

Minimum =   1

Maximum =  10

How to find Median:

Arrange your numbers in numerical order.  Then the second step is to have an odd number, divide by 2 and round up to get the position of the median number.  The last step is to find the even number and if you have it, divide it by 2.

Answer: 5

Hope this helps.

3 0
2 years ago
Classify the following triangle. Check all that apply.
victus00 [196]

I know Iscoscles and acute only

4 0
3 years ago
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