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DENIUS [597]
2 years ago
10

Can I Get Some Help But Dont Mind The "You will use the same image for question 8 and 9."

Mathematics
1 answer:
Zinaida [17]2 years ago
7 0

Answer:

  • mPEQ is 220°, mPQ is 140°

Step-by-step explanation:

Let mPEQ = x and mPQ = y

The angle between two tangents is half the difference between the major and minor arcs.

  • (x - y)/2 = 40

The sum of same arcs is full circle

  • x + y = 360

Simplify the first equation

  • x - y = 80

Add up with the second one and solve for x

  • x - y + x + y = 80 + 360
  • 2x = 440
  • x = 220

Find the minor arc measure

  • y = 360 - 220 = 140
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dexar [7]

Hi!

There might be different variations into how anyone would approach this problem but this is by far an easy way for me.

In order to solve fractional relationships with a variable, a perfect way to solve them would be to cross multiply and make them equal to each other.

You see the part '3y+12', and when you criss cross over to the other side of the equation, you get three. Multiply that together.

When you see the part '6', when you glide diagonally, you find '4y'. Multiply this together as well. Make them equal to each other.

(<em>This is how you do cross multiplication.)</em>

You should get something like this:

3(3y+12)=6(4y)              Distribute the three on the left side and multiply. Do the same on the right.

9y+36=24y                    Now, you can combine like terms by subtracting 9y to the other side.

36=15y                           Isolate y and divide it by 15.

y=2.4

I was unclear of the answer, so I plugged in 2.4 into the original equation where the y variable was, and got the right answer, so 2.4 should be the correct one no matter how you got it.

I hope this helped!

8 0
2 years ago
7.) Plumbers earn $160 a day and plumbers' helpers earn $100 a day. Twenty
9966 [12]

Answer:

Step-by-step explanation:

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160p + 100(20-p) = 2600

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2 years ago
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Step-by-step explanation:

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3 years ago
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3 years ago
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