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Serjik [45]
4 years ago
12

How do I do this I'm am really confused?

Mathematics
1 answer:
MrMuchimi4 years ago
6 0
Since (4y-42) and 2y are opposite angles, they equal to each other which looks like this:

4y-42 = 2y

From there you want to put the y onto one side:

4y-2y-42=0  ----->   2y-42=0


You want to balance the equation out and move the -42 onto the other side so you add it to both sides to get:

2y=42

Then divide both sides by 2 to get:

y= 21

From there you can plug 21 back into the original equation to find each angle.

4(21)-42 = 2(21)    --->   84-42 = 42  ---> 42 = 42

So y = 21 and each angle is 42 degrees
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Edwin and Anthony are building a rectangular deck in their backyard.The Longer side is 2 more than 1/3 the perimeter. The shorte
vlada-n [284]

Answer: The perimeter is 30ft.

Step-by-step explanation:

Let's define:

L = length of the longer side.

S = length of the shorter side.

P = perimeter

we know that for a common rectangle:

P = 2*S + 2*L

We aso know that:

L = 2ft + (1/3)*P

S = (1/10)*P

L = S + 9ft.

So we have a system, let's find the perimeter only using this system (So i will ignore the equation for the perimeter of a rectangle)

First, we can replace the third equation in the first equation, now we have a system with only two equations:

S + 9ft = 2ft + (1/3)*P

S = P/10

Now we can replace the second equation in the first equation, and get:

P/10 + 9ft = 2ft + P/3

Now let's solve this for P.

9ft - 2 ft = P/3 - P/10

7ft = P( 1/3 - 1/10) = P*( 10/30 - 3/30) = P*(7/30)

(30/7)*7ft = P = 30ft.

The perimeter is 30ft.

5 0
3 years ago
Rewrite the equation in Slope-Intercept Form. y+4=−12(x−2)
eimsori [14]

Answer: y = -12x +20

Step-by-step explanation: 1. distribute the -12 into the (x-2), that equals -12+24

2. subtract the 4 from the left side to move it to the right side of the equation

3. add like terms, so 24 + (-4) or 24-4 which equals 20.

4. Answer: y=-12x+20

8 0
3 years ago
What is the overlap of Data Set 1 and Data Set 2?
Simora [160]

Answer:

An additional student came by to inform me that they lost their phone yesterday (he thinks by the bus station). It is an iPhone 13 in a black case. If anyone has come across it, please bring the device to Mr. Velez in room 112 and on behalf of the student, thank you!

Step-by-step explanation:

2-2=95383479234.5424334

4 0
3 years ago
Read 2 more answers
What is the solution for the equation<br> |2x - 3|=5?
Lelechka [254]

Answer:

X=3

Step-by-step explanation:

12x-31=5

12x - 31 - 31 = 5 + 31

12x = 26

12x / 12 = 26 / 12

x = 3

To solve the equation you take 31 to the right by subtracting it from the left then adding it to the right.

From there you divide each side by 12

HOPE IT HELPED

3 0
3 years ago
What is the y-intercept of the linear equation x-1/2y=-6?<br><br> a) –6<br> b) –3<br> c) 0<br> d) 12
Lisa [10]

Answer:

\large\boxed{d)\ 12}

Step-by-step explanation:

x-\dfrac{1}{2}y=-6\\\\\text{y-intercept is for x = 0. Substitute:}\\\\0-\dfrac{1}{2}y=-6\\\\-\dfrac{1}{2}y=-6\qquad\text{multiply both sides by (-2)}\\\\\left(-2\!\!\!\!\diagup^1\right)\left(-\dfrac{1}{2\!\!\!\!\diagup_1}y\right)=(-2)(-6)\\\\y=12

8 0
3 years ago
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