Please help and give an explanation on how to find the value of x

Mathematics

1 answer:

arsen [322]3 years ago

8 0

Answer:

x = 30

2x =60

Step-by-step explanation:

the angle is a right angle- so that means it’s a 90 degree angle

so let’s set up an equation..

We get 90 degrees when we add 2x Plus x

So 2x + x = 90

then, 3x = 90

x= 30

you Can check your Answer by:

Do 2 times 30 = 60

and then 60+ 30

you will Get 90

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<h2>70 possible groups</h2>

Step-by-step explanation:

Given the total number of employee to be equal to 12 temporary employee.

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If 4 will be hired as permanent employees, the possible ways they can be grouped so that the 4 temporary employees consists of 3 women and 1 man can be done by applying the combination formula.

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$nCr = \frac{n!}{(n-r)!r!}$

According to question, we are to select 3 women from 5 women and 1 man from 7 men. Based on similarity in sex, this can be done in (5C3* 7C1) different ways .

$5C3 * 7C1\\= \frac{5!}{(5-3)!3!} * \frac{7!}{(7-1)!1!}\\\\= \frac{5!}{2!3!} * \frac{7!}{6!1!}\\\\= \frac{5*4*3!}{3!*2} * \frac{7*6!}{6!*1}\\\\= \frac{20}{2} * \frac{7}{1}\\ \\= 10*7\\\\= 70\ possible\ groups$