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Elodia [21]
3 years ago
5

In the similar triangles below, solve for the value of X.

Mathematics
2 answers:
Angelina_Jolie [31]3 years ago
3 0

9514 1404 393

Answer:

  x = 8

Step-by-step explanation:

Corresponding segments are proportional.

  (3x +1)/10 = (7x -1)/22

  11(3x +1) = 5(7x -1) . . . . . . multiply by 110

  33x + 11 = 35x -5 . . . . . . eliminate parentheses

  16 = 2x . . . . . . . . . . . add 5-33x to both sides

  8 = x . . . . . . . . . . divide by 2

Yuri [45]3 years ago
3 0

Answer:

<h2> <u>Solution</u><u> </u><u>:</u><u>-</u></h2>

\sf \bull \large \:  \dfrac{3x +  1}{10}  =  \dfrac{7x - 1}{22}

On cross multiplication

\large \tt \: 22(3x + 1) = 10(7x - 1)

\large \tt \: 66x + 22 = 70x - 10

\large \tt \: 70x - 66x = 22 - 10

\large \tt \: 4x = 12

\large \tt \: x = 3

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Answer:

12 passengers can travel in Rs. 900.

Step-by-step explanation:

see the above attachment.

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6 0
3 years ago
Find the volume of the prism. Write your answer as a fraction.
TiliK225 [7]

Answer:

3/196

Step-by-step explanation:

because if 2 times 14 times 7, you will get 196 and then do 1 times 3 times 1 which equal to 3. so the answer will be 3/196

5 0
2 years ago
For what value of a do the lines 5x–2y=3 and x+y=a intersect at a point on the y-axis?
inna [77]

Answer:

  a = -3/2

Step-by-step explanation:

You can set x=0 and solve for y to find the y-intercept in each case.

  first equation: y-intercept = -3/2

  second equation: y-intercept = a

To make these equal, we must have ...

  a = -3/2

5 0
2 years ago
Nissa is going to plant 485 trees this year.
Luden [163]
Answer:
97

Explanation:
487/5=97
7 0
2 years ago
Consider the function g(x) = sqrt(x + 4) - 6 which function has the same y-intercept as this function?
Inga [223]

Answer:

a)

f(x) = \frac{4}{x-8} - 3.5

Step-by-step explanation:

The y intercept of g(x) is the value of g when x = 0.

In this problem

g(x) = \sqrt{x+4} - 6

The y-intercept is

g(0) = \sqrt{0+4} = \sqrt{4} - 6 = 2 - 6 = -4

a)

f(x) = \frac{4}{x-8} - 3.5

The y-intercept is:

f(0) = \frac{4}{0-8} - 3.5 = -0.5 - 3.5 = -4

This is the correct answer

b)

f(x) = -\frac{4}{x} - 1

The y-intercept is

f(0) = -\frac{4}{0} - 1

This is an asymptote

c)

f(x) = 2|x+2|

The y-intercept is

f(0) = 2|0+2| = 4

d)

f(x) = |x - 4|

The y-intercept is

[tex]f(0) = |0-4| = |-4| = 4.

7 0
3 years ago
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