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Klio2033 [76]
3 years ago
15

Solve for in the diagram below. (6x - 2) 20° O 2

Mathematics
1 answer:
fenix001 [56]3 years ago
5 0

Answer:

x=12

Step-by-step explanation:

The three angles add to a straight line which is 180 degrees

20 + 6x-2 + 90 = 180

Combine like terms

108 + 6x = 180

Subtract 108 from each side

108+6x-108 = 180-108

6x =72

Divide each side by 6

6x/6 = 72/6

x=12

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The ratio of boys to girls in a group is 7:1. If there are 66 more boys than girls, work out how many girls there are
nevsk [136]

Answer:11

Step-by-step explanation:

Boys : girls=7:1

Sum of ratio=7+1=8

Let them number of girls be y

Then they number of boys=y+66

Total number of pupils=y+y+66

Total number of pupils=2y+66

Number of girls=(girls ratio)/(sum of ratio) x (total number of pupils)

y=1/8 x (2y+66)

Cross multiply

y x 8=2y + 66

8y=2y + 66

Collect like terms

8y-2y=66

6y=66

Divide both sides by 6

6y/6=66/6

y=11

The number of girls is 11

4 0
2 years ago
Solve 9 is subtracted from 2 times the sum of 7 and 4<br><br><br><br>​
Goshia [24]

2×11+9

22+9

31

This the the way to solve this answer

3 0
3 years ago
Read 2 more answers
This is really important i have to get this one tomorrow please help me
Murrr4er [49]
I can’t see your pics
5 0
3 years ago
Michael spends an average of $120 per month going out to lunch and dinner. If he can cut that
expeople1 [14]

Answer:

If he spends $120 dollars a month, and he cut's that down to $50 a month, we should create a pattern to visualize the months.

Step-by-step explanation:

120- 50= 70 ($70 saved each month)

Month 1- $70 saved total

Month 2- $140 saved total

Month 3- $210 saved total

Month 4- $280 saved total

Month 5- $350 saved total

Month 6- $420 saved total

It takes 6 months to get 400 saved. We could also divide to get

5.714285, but it would takes 6 months before reaching the goal. :)

6 0
3 years ago
6x + 5y = 147<br> 8x + 4y = 156
satela [25.4K]

Answer:

[12, 15]

Step-by-step explanation:

{6x + 5y = 147

{8x + 4y = 156

-¾[8x + 4y = 156]

{6x + 5y = 147

{-6x - 3y = -117 ← New Equation

________________

2y = 30

___ ___

2 2

y = 15 [Plug this back into both equations to get the x-coordinate of 12]; 12 = x

So, using the Elimination Method, what I did here was took the bottom equation and multiplied it by -¾, turning 8x to -6x, canceling out all <em>x-terms</em><em>.</em><em> </em>It does not matter which variable you choose to eliminate, as long as you know what you are doing.

I am joyous to assist you anytime.

3 0
2 years ago
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