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nikdorinn [45]
3 years ago
10

I need help and I don't know what to do

Mathematics
2 answers:
Gala2k [10]3 years ago
6 0
Any two opposite angles are equal so, 
12x - y = 10x +5y 
12x-10x = 5y+y 
2x = 6y 
so x=3y ----> eqn.1 

and, the sum of all angles are equal 360 degrees 
so 12x-y + 2x+4y + 10x+ 5 y + 3x + y = 360 then , 27x + 9y = 360  substitute by y= x/3 from eqn.1 the 27x +9(x/3) = 360 27x+3x=36030x=360x=12 substitute in eqn.1 y=x/3 y=12/3y=4 so  we get x = 12 & y = 4

andreev551 [17]3 years ago
5 0
I think combine like terms  
12x+10x+3x+2x      -y+y+5y
X=27                       Y=5y

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Solve 2/3 x - 4 = -2
marta [7]

Answer:

- 9

Step-by-step explanation:

2/3 x - 4 = -2

2/3 x = -2+4

x = 6 * (-3/2)

9 = -9

7 0
3 years ago
Read 2 more answers
Angle of the Sun A 96-ft tree casts a shadow that is 120 ft long. What is the angle of elevation of the sun
scoray [572]

Answer:

The angle of elevation of the sun is 39⁰

Step-by-step explanation:

Given;

height of the tree, h = 96 ft

length of the shadow, L = 120 ft

                                                   |

                                                   | 96ft

                                                   |

                                                   |

       θ------------------------------------

                    120ft

Completing this triangle to cut across the top of the tree gives you a right angled triangle with θ as the angle of elevation of the sun.

Apply trig-ratio to determine the angle of elevation of the sun;

tanθ = opposite side / adjacent side

tanθ = 96 / 120

tanθ = 0.8

θ = tan⁻¹(0.8)

θ = 38.7⁰

θ = 39⁰

Therefore, the angle of elevation of the sun is 39⁰

4 0
2 years ago
In a group of 15 children the ratio of the boy : the girl is 2: 3: 5 more girls join the group. Calculate the percentage of boys
marta [7]

Answer:

Percentage of new group boys = 30%

Percentage decrease for the boys = 10%

Increase percent of the girls = 10%

Step-by-step explanation:

Given:

Number of children = 15

Ratio (Boys to Girls) = 2 : 3

Number of more girls join = 5

Find:

Percentage of boys in new group

Percentage decrease for the boys

Increase percent of the girls

Computation:

Number of boys = 15[2/5]

Number of boys = 6

Number of girls = 15[3/5]

Number of girls = 9

Percentage of boys = [6 / 15]100

Percentage of boys = 40%

Percentage of girls = [9 / 15]100

Percentage of girls = 60%

New number of students = 15 + 5

New number of students = 20

New number of boys = 6

New number of girls = 9 + 5 = 14

Percentage of new group boys = [6 / 20]100

Percentage of new group boys = 30%

Percentage of new group girls = [14 / 20]100

Percentage of new group girls = 70%

Percentage decrease for the boys = 40% - 30%

Percentage decrease for the boys = 10%

Increase percent of the girls = 70% - 60%

Increase percent of the girls = 10%

8 0
3 years ago
The product of three consecutive numbers is 21,924. What is the smallest number out these numbers?
Natasha_Volkova [10]

Answer:

27

Step-by-step explanation:

Let the middle number be x.

(x - 1)(x)(x + 1) = 21,924

You can solve that equation, or you can use logic.

The 3 numbers are going to be close to the cubic root of 21,924.

cubic root of 21,924 = 27.988 or approx 28.

Try 27, 28, 29

27 * 28 * 29 = 21,924

Answer: 27

7 0
2 years ago
What is the depth of the Indian Ocean rounded to the nearest thousand
gogolik [260]
Hey There!

The depth of the Indian Ocean rounded to the nearest thousand is 13,000.
7 0
3 years ago
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