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blsea [12.9K]
4 years ago
10

Solve for x 15x+5x 14x-6

Mathematics
1 answer:
ValentinkaMS [17]4 years ago
8 0

Look at the picture.

[tex\alpha+\beta=180^o[/tex] - supplementary angles

Therefore we hve the equation:

(14x-6)+(15+5x)=180\\\\(14x+5x)+(-6+15)=180\\\\19x+9=180\qquad\text{subtract 9 from both sides}\\\\19x=171\qquad\text{divide both sides by 19}\\\\\boxed{x=9}

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Lisa is 6 centimeters taller than her friend Ian. Ian is 10 centimeters taller than Jim. Every month, their heights increase by
Temka [501]

Lan is 146 centimeters tall now.

<u><em>Explanation</em></u>

Let, Lan's current height is h centimeters

As Lisa is 6 centimeters taller than Lan and Lan is 10 centimeters taller than Jim, so Lisa's current height = (h+6) centimeters and Jim's current height = (h-10) centimeters.

Every month, their heights increase by 2 centimeters.

So, after 5 months.....

Lan's height = h+(2*5)=(h+10) centimeters,

Lisa's height = (h+6)+(2*5)= (h+16) centimeters and

Jim's height = (h-10)+(2*5)= h centimeters

Given that, the sum of Ian's and Jim's heights will be 140 centimeters more than Lisa's height in 5 months. So the equation will be....

(h+10)+h= (h+16)+140\\ \\ 2h+10=h+156\\ \\ 2h-h=156-10\\ \\ h=146

So, the current height of Lan is 146 centimeters.

7 0
3 years ago
Is this correct? If not, please tell me the correct answer!!!
White raven [17]

Answer:

That is correct

Step-by-step explanation:

180° rotation about origin just means that you have to flip the pre-existing image across the x-axis

Good job!

3 0
4 years ago
Determine whether the given value is a solution of the equation. 36 = k 6 ; k = 6 6 a solution of 36 = k 6 .
Mila [183]

Answer:

Yes: the variable K would equal "6"

Step-by-step explanation:

After you set you equation up, you have to isolate the given variable. To do that you have to do the recipriocal (6k-multiplying) which would be division. You would divide k = 36 ÷ 6 . that isolates the variable ,which you would then solve. k = 6 .

4 0
3 years ago
Is this right please help me Is this right please help me
saw5 [17]
Yes you are correct
7 0
3 years ago
Joeff charges 20$ flat rate plus 27$ per hour to work on cars. how many dollars does joeff earn for a 5 hour job?
Ket [755]
Answer is $155 for the job

Step by step

You can use y intercept formula for this one.

Y = mx + b
Y = Dollars earned, what you are looking for.
M= rate per hour (27)
X = hours worked (5)
B = flat rate (20)

y = (27) (5) + 20

y = $155

Problem solved!
7 0
1 year ago
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