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Georgia [21]
4 years ago
6

Find the measure of G

Mathematics
1 answer:
Savatey [412]4 years ago
5 0

Step-by-step explanation:

  • We know that exterior angle of a triangle is equal to the sum of two opposite interior angle .So

<H + <G = <GFD

30° + 10x + 12° = 15x + 7 °

42° + 10x = 15x + 7°

42° - 7° = 15x -10x

5x = 35°

Therefore x = 7°

Now

<G = 10x + 12° = 10 * 7° + 12° = 70° + 12° = 82°

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A building company employs 3 labourers 12 joiners 8 electrician 4 plumbers. For a job, the company needs one of each type of wor
Novay_Z [31]

The number of ways that the company can choose four workers is 40920 ways.

<h3>How to calculate the number?</h3>

From the information, the building company employs 3 laborers 12 joiners 8 electrician 4 plumbers. The total number of workers will be:

= 3 + 12 + 8 + 4

= 27 workers

It should be noted that combination will be used to choose the 4 workers. This is illustrated as

Combination formula

ⁿCr = n! / ((n – r)! r!)

n = the number of items.

r = how many items are taken at a time.

where n = 33

r = 4

ⁿCr = n! / ((n – r)! r!)

³³C₄ = 33! / (33 - 4)! 4!

= 33! / 29! 4!

= 33 × 32 × 31 × 30 / 4 × 3 × 2

= 40920 ways

Learn more about combinations on:

brainly.com/question/4658834

#SPJ1

7 0
2 years ago
Katie bought some flour.
Maksim231197 [3]
So... whats the question

5 0
4 years ago
Jill and Erika made 4 gallons of lemonade for their lemonade stand. How many quarts did they make?
lukranit [14]
The answer is B. 16 quarts because 4 quarts= 1 gallon
3 0
3 years ago
Read 2 more answers
Find the solution to the system. Write your solution as an ordered pair (x,y) with no spaces, no solution, or infinitely many. x
maxonik [38]

Answer:

The solution is (15, 11)  There is only one solution.

Step-by-step explanation:

Solve this system using substritution.  In the second equation replace x with 2y - 7, obtaining:

4(2y - 7) + y = 71, which simplifies as follows:

8y - 28 + y = 71, or

9y = 99.  then y must be 11.  If y is 11, then x = 2y - 7, or x = 2(11) - 7 = 15

The solution is (15, 11)  There is only one solution.

8 0
3 years ago
A boat goes 24 miles at a constant speed in 4 hours against a river current. It takes the boat 3 hours to go the same distance a
Svetllana [295]

Answer: 7 miles/h and 1 miles/h

Step-by-step explanation:

With the speed of current = x + 1

Against the speed of current = x - 1

ATQ

4(x-1) = 3(x+1)

4x-4 = 3x+3

4x - 3x = 3+4

x = 7

Speed of boat = 7miles/h

Current of river = 1 miles/h

please click thanks and mark brainliest if you like :)

5 0
3 years ago
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