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Charra [1.4K]
4 years ago
13

Determine the value of x in the figure.

Mathematics
1 answer:
IgorLugansk [536]4 years ago
8 0

Step-by-step explanation:

Hey there!

<u>Your</u><u> </u><u>required answer is option</u><u> </u><u>B</u><u>.</u>

Here,

Given,

The figure is an equilateral triangle with, side (7x+9) and (x+27).

<u>By</u><u> </u><u>the</u><u> </u><u>defination</u><u> </u><u>of</u><u> </u><u>equilateral</u><u> </u><u>triangle</u><u> </u><u>we</u><u> </u><u>have</u><u>,</u>

<u>A</u><u>ll</u><u> </u><u>sides</u><u> </u><u>of</u><u> </u><u>equilateral</u><u> </u><u>triangle</u><u> </u><u> </u><u>are</u><u> </u><u>equal</u><u>.</u><u> </u>

So,

( 7x+ 9) = x + 27

Simplify them to get answer.

7x - x = 27 - 9

6x = 18

x =  \frac{18}{6}

Therefore the value of x is 3.

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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2 years ago
The data list shows the scores of ten students in Mr. Smith's math class. 61, 67, 81, 83, 87, 88, 89, 90, 98, 100 What is the st
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Answer:

12.3

Step-by-step explanation:

Step 1

We find the mean

The data list shows the scores of ten students in Mr. Smith's math class. 61, 67, 81, 83, 87, 88, 89, 90, 98, 100

Mean = Sum of terms/Number of terms

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Step 2

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The formula for sample standard deviation =

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= √[(61 - 84.4)² + (67 - 84.4)² + (81 - 84.4)² + (83 - 84.4)² + (87 - 84.4)² + (88 - 84.4)² + (89 - 84.4)² + (90 - 84.4)² + (98 - 84.4)² + (100 - 84.4)²]/10 - 1

=√ 547.56 + 302.76 + 11.56 + 1.96 + 6.76 + 12.96 + 21.16 + 31.36 + 184.96 + 243.36/10 - 1

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= 12.31259518

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