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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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If the probability of rain is 31%. What is the probability of it not raining?
-Dominant- [34]

Answer:

69%

Step-by-step explanation:

Since we only have two options, rain or not rain, they have to add to 100%

100 -31 = 69

So not raining is 69%

5 0
3 years ago
Read 2 more answers
PLEASE HELP
miss Akunina [59]

In the smallest of the three triangles (with sides a,b,3) we have

a^2+3^2=b^2

In the second-largest triangle (with sides a,108), the length of the missing side is \sqrt{a^2+108^2}. Then in the largest triangle (with sides b,111,\sqrt{a^2+108^2}), we have

b^2+\left(\sqrt{a^2+108^2}\right)^2=(108+3)^2=111^2

\implies b^2+a^2+108^2=111^2

\implies b^2+a^2=657

Equivalently, we have

(a^2+9)+a^2=657\implies 2a^2=648\implies a^2=324\implies a=18

In turn, we find

b^2=18^2+3^2=298\implies b=\sqrt{333}=3\sqrt{37}

6 0
3 years ago
You are deciding between two cell phone plans. Plan A: Unlimited text, talk, and data for $50 per month. Plan B: Unlimited text
Sergio039 [100]
Sent a picture of the solution to the problem (s).

7 0
3 years ago
Which function represents a reflection of f(x) = 5(0.8)x across the x-axis?
lukranit [14]

The function represents a reflection of f(x) = 5(0.8)x across the x-axis is f(x) = -5(0.8)^x

<h3>Reflection of functions and coordinates</h3>

Images that are reflected are mirror images of each other. When a point is reflected across the line y = x, the x-coordinates and y-coordinates change their position. In a similar manner, when a point is reflected across the line y = -x, the coordinates <u>changes position but are negated.</u>

Given the exponential function below

f(x) = 5(0.8)^x

If the function f(x) is reflected over the x-axis, the resulting function will be

-f(x)

This means that we are going to negate the function f(x) as shown;

f(x) = -5(0.8)^x

Hence the function represents a reflection of f(x) = 5(0.8)x across the x-axis is f(x) = -5(0.8)^x

Learn more on reflection here: brainly.com/question/1908648

#SPJ1

8 0
2 years ago
Which statements correctly compare the two​ numbers?
Neko [114]

Answer:

A, E

0.557 is greater than 0.49.

0.6 is more than 0.669.

So, these are the answers.

Hope it helps!

5 0
2 years ago
Read 2 more answers
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