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Agata [3.3K]
3 years ago
6

Find the values of m and n

Mathematics
1 answer:
kherson [118]3 years ago
6 0

Answer:

m=30°

n=35°

Step-by-step explanation:

So the right triangle's angles are 90 and 70 so m=30° because sum of angles in a triangle=180°

since the triangle with 110 degrees is congruent, that means the other blank angle is also N.

so if the sum of angles in a triangle is 180 degrees,

110+2n=180

2n=180-110

2n=70

n=35

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Genrish500 [490]

You would have worked 6 hours as lifeguard and 8 hours as cashier.

8(14 - y) + 6y = 96

112 - 8y + 6y = 96

112 - 2y = 96

-2y = -16

y = -16/-2 = 8

You worked 8 hours as a cashier. since the total hours worked is 14 we know you worked as a lifeguard for 6 hours.

7 0
3 years ago
You have space in your garden for 60 small flowering bulbs. Crocus bulbs cost $0.25 each and daffodil bulbs cost $0.65 each. You
Doss [256]

Answer:

32 daffodils bulbs and 28 crocus bulbs

Step-by-step explanation:

Assuming 'x' as Crocus and 'y' as daffodil. Now we'll form equations.

-> for 60 small flowering bulbs

x+y=60

x=60-y --->eq(1)

->Crocus bulbs cost $0.25 each and daffodil bulbs cost $0.65 each with the budget $27.80

0.25x + 0.65y = 27.80  -->eq(2)

Next is to substitute x=60-y in eq(2)

(2)=>0.25(60-y) + 0.65y = 27.80

15 - 0.25y + 0.65y = 27.80

0.4y = 12.8

y = 12.8/ 0.4

y= 32 daffodil bulbs

Now, plugging the value of y in eq(1)

(1)=>x=60-32

x= 28

x=28 crocus bulbs

Therefore, you can buy 32 daffodils bulbs and 28 crocus bulbs

6 0
3 years ago
5(3-x)<-2x+6 need help ASAP please
umka21 [38]

Answer: 5(3-x)<-2x+6 =

Step-by-step explanation:

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Interval notation: (3,∞)

6 0
3 years ago
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andreev551 [17]
X=-24
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5 0
3 years ago
Read 2 more answers
1. A board is 10.17 feet long. Sandy needs
Simora [160]

Answer:

3.39 ft, 2

Step-by-step explanation:

Given that a board is 10.17 feet long. Sandy needs  

to cut the board into 3 equal sections.

Let x be the length of each piece then we have

3x=10.17\\x = 3.39 ft

Each section would be 3.39 feet long.

-----------------------

When each is 5.085 feet let y be the number of pieces

Then

5.085 y = 10.17\\y =2

Two sections would be needed

5 0
3 years ago
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