For any inscribed quadrilateral, the opposite angles add to 180
(angle PMN) + (angle NOP) = 180
(8x-24) + (4x) = 180
12x-24 = 180
12x-24+24 = 180+24 ..... add 24 to both sides
12x = 204
12x/12 = 204/12 ..... divide both sides by 12
x = 17
angle NOP = 4x
angle NOP = 4*17
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angle NOP = 68 degrees</h3>
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Answer: A) The product is rational</h3>
Explanation:
The number 4.56 is rational because any terminating decimal can be written as a fraction of two integers. For example, 4.56 = 456/100
The number is the same as where the '5's go on forever. Repeating decimals like this are rational. It turns out that which you can find through trial and error, or apply a bit of algebra. I'll skip showing those steps unless you need me to go over them.
Because both given numbers are rational, multiplying those two rational numbers will lead to another rational number
rational times rational = rational
I'll skip over the proof of this as well unless you need me to show it.
Answer: Percentages help you out so you don't get cheated out of your money.
Step-by-step explanation:
When you go shopping and have to add in taxes and discounts you'll know whether or not you've spent too much or if you can spend more. They money system is based on percentages and know that will help you manage money better as a consumer.
Answer: 274.75
Step-by-step explanation:
To find the volume of a cylinder you find the area of the base and then multiply it by the height. The base is the radius (half the diameter) squared times pi which we will use 3.14. That gets us 78.5. Then we multiply by the height to get 274.75!
Hope this helps!
Think of factor pairs of 9.
9 = 9 × 1 (sum is 10)
9 = 3 × 3 (sum is 6)
Your numbers are 3 and 3.