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klasskru [66]
3 years ago
5

Find the missing values x and y

Mathematics
1 answer:
kvv77 [185]3 years ago
4 0
1) The supplement of 72° is 180°-72° = 108° . (bottom // with right secant)

2) (3z + 18)° = 108° ( in a para llelogram opposite angles are equal)
Then 3z+18 = 108 and 3z° = 90° → z = 30°

3) (3y)° = 108° (vertical angles) , 3y° = 108 and y = 36°

4) 3y = x° (corresponding angles) but 3y = 108, then x = 108°

(Mind you I am calculating the ∠ x, y, and z. To find the angles of the parallelogram replace x,y and z by their respective values

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A company has 10 men qualified to run a machine that requires 3 operators at a time. find how many groups of 3 operators are pos
anzhelika [568]

The number of possible groups or combination of three men can be formed from 10 is 120.

According to the given question.

Total number of men in a company, n = 10.

Number of men to be selected, r = 3

As we know that, What is a combination in math?

Image result for what is combination

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Therefore, the number of possible groups or combination of three men can be formed from 10

= ^{10} C_{3}

= 10!/ 3!7!

= 10(9)(8)/3(2)

= 5 × 3 × 8

= 120

The number of possible groups or combination of three men can be formed from 10 is 120.

Find out more information about number of possible groups or combination here:

brainly.com/question/3854382

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6 0
1 year ago
Jack is trying to make extra money on his summer vacation from school. He works two different jobs, earning $9 per hour washing
Sveta_85 [38]

Answer:

$57

9w+6d

Step-by-step explanation:

Given that:

Earnings per hour for washing cars = $9

Earnings per hour for walking dogs = $6

Number of hours for which car washing is done = w

Number of hours taken for walking dogs = d

Earnings for w hours for washing cars = Per hour earnings multiplied by number of hours = $9w

Earnings for d hours for walking dogs = Per hour earnings multiplied by number of hours = $6d

Total earnings by both = $(9w+6d)

Now, given that

Number of hours spent washing cars = 5 hours

Number of hours spent walking dogs = 2 hours

Therefore, total earnings by both = 9 \times 5 + 6 \times 2 = <em>$57</em>

5 0
3 years ago
Find the ordered pair whose x-coordinate is 5. 4x=6y+8
sukhopar [10]

(6, 2 )

substitute x = 5 into the equation and solve for y

6y + 8 = 20 ( subtract 8 from both sides )

6y = 12 ( divide both sides by 6 )

y = \frac{12}{6} = 2

the ordered pair is (5, 2 )


6 0
3 years ago
Read 2 more answers
Please answer in a step by step explanation
Aneli [31]
An open circle means any number except the one in the circle. Here the number in the circle is 3. The arrows go to both sides. This means every number except 3. The answer is c. Which states that every number is included except 3. Basically meaning x is never equal to 3.
7 0
3 years ago
Wich expression can be written as 9x(12+7)
DENIUS [597]
9x(12+7)
distribute the 9x
108x+63

3 0
3 years ago
Read 2 more answers
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