All categories

3 years ago

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

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

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

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

$\large \tt \: 4x = 12$

$\large \tt \: x = 3$

You might be interested in

5. The bus fair oe 8 passangers is Rs 640 If the fair decreased by Rs 5 per passanger How many passangers can travel for Rs 900

Luda [366]

Answer:

12 passengers can travel in Rs. 900.

Step-by-step explanation:

see the above attachment.

if you face any problem comment me, I am there for help.

hope this helps you.

6 0

2 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:

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

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

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

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

The y-intercept is:

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

This is the correct answer

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

The y-intercept is

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

This is an asymptote

$f(x) = 2|x+2|$

The y-intercept is

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

$f(x) = |x - 4|$

The y-intercept is

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

7 0

3 years ago

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

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