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kvv77 [185]
3 years ago
8

Martha jarred 6 liters of jam after 2 days. How many days does Martha need to spend making jam if she wants to jar 21 liters of

jam in all? Assume the relationship is directly proportional.
Mathematics
1 answer:
lana66690 [7]3 years ago
3 0

Answer: 7

Step-by-step explanation:

if Martha jarred 6 liters of jam in 2 days,

she will jarred 3 litters of jam in one day

for 21 litters she will need 7 days

21/3=7

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  • Problem 1)  40 degrees
  • Problem 2) 84 degrees
  • Problem 3) 110 degrees

===============================================

Explanation:

For these questions, we'll use the inscribed angle theorem. This says that the inscribed angle is half the measure of the arc it cuts off. An inscribed angle is one where the vertex of the angle lies on the circle, as problem 1 indicates.

For problem 1, the arc measure is 80 degrees, so half that is 40. This is the measure of the unknown inscribed angle.

Problem 2 will have us work in reverse to double the inscribed angle 42 to get 84.

-------------------

For problem 3, we need to determine angle DEP. But first, we'll need Thales Theorem which is a special case of the inscribed angle theorem. This theorem states that if you have a semicircle, then any inscribed angle will always be 90 degrees. This is a handy way to form 90 degree angles if all you have is a compass and straightedge.

This all means that angle DEF is a right angle and 90 degrees.

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3 0
3 years ago
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