Work out the value of x.Need answer soon :)

Mathematics

1 answer:

german3 years ago

6 0

Answer:

x+20

Step-by-step explanation:

As we can see n the diagram, there are parallel traversals and one line, and the two angles given are same-side interior angles. We know that when there is parallel traversal, and we have same side interiors, the sum of the measure of the two angles are supplementary. Supplementary means 180 degrees, or a straight line.

So we plug everything in and we have 4x+5x=180 degrees

4x+5x=9x, so 9x=180

We divide by 9 on both sides to get the value of x, which is 20

Hope it helps!

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A company has 7 male and 9 female employees, and needs to nominate 2 men and 2 women for the company bowling team. How many diff

lys-0071 [83]

Answer:

The team can be formed in 756 different ways

Step-by-step explanation:

This is a combination problem since we are to select a set of people from a group. Combination has to do with selection.

for example, if r number of object is to be selected from a pool of n objects, this can be done in nCr number of ways.

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

Now If A company has 7 male and 9 female employees, and needs to nominate 2 men and 2 women for the company bowling team, then this can be done in the following way;

$7C2 * 9C2$

$7C2 = \frac{7!}{5!2!} \\= \frac{7*6*5!}{5!*2} \\= 7*3\\= 21ways\\\\similarly;\\\\9C2 = \frac{9!}{7!2!}\\9C2= \frac{9*8*7!}{7!*2} \\9C2 = 9*4\\9C2 = 36$