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3 years ago

Find x: explain if you can!

Mathematics

1 answer:

Sergio039 [100]3 years ago

4 0

Answer:

x is 97

Step-by-step explanation:

the interior angles have to equal 180 and the exterior angles have to come to 360 degrees

so you already know 23 to find the one by the 106 degree you use the linear pair postulate ( angles on a straight line will equal 180) so 180-106 equals 74. Now you have 2 of the three interior angles. To find the third you take 180 - 74 - 23 which equals 83 then you can use the linear pair postulate again and take 180-83 to get your answer for x which equals 97

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muminat

Answer:

The answer is (Choice C) It is just right.

Step-by-step explanation:

The question is incomplete, so the complete question is below:

Kermit's favorite iced tea is made with 15 tea bags in every 2 liters of water. Peggy made a 12-liter batch of iced tea with 90 tea bags. What will Kermit think of Peggy's iced tea? Choose 1 answer: (Choice A) It is too strong. (Choice B) It is too weak. (Choice C) It is just right.

Now, to find which of the choice is correct.

So, we find first the unit rate of Peggy's iced tea bags per liter:

If, Peggy made a 12-liter batch of iced tea with 90 tea bags.

Then, Peggy would made a 1-liter batch of iced tea with = $\frac{90}{12} =7.5\ tea\ bags.$

Now, to get the unit rate of Kermit's iced tea bags per liter:

If, Kermit made a 2 liter of iced tea with 15 tea bags.

Then, Kermit would made a 2 liter of iced tea with = $\frac{15}{2} =7.5\ tea\ bags.$

Thus, the quantity of tea bags per liter is same of both Kermit and Peggy.

Hence, Kermit will think of Peggy's iced tea that it is just right.

Therefore, the answer is (Choice C) It is just right.

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