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Ira Lisetskai [31]
3 years ago
5

Inscribed circles on the arc; improvement answer is required in full.

Mathematics
1 answer:
e-lub [12.9K]3 years ago
8 0

Answer:

The measure of an inscribed angle is half the measure of the intercepted arc

∠EFG creates Arc EDG

if ∠EFG is 1/2 arc EDG then 115° x 2 = 230°

A circle is 360°.

The remaining arc EFG is 360° - 230° = 130°

∠EDG is 1/2 of arc EFG so, 130° ÷ 2 = 65°

∠EDG = 65°

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Tyler went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 300 mg of sodium and each fr
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Answer:

<u>Tyler purchased 10 cans of soup and 5 frozen dinners.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of sodium per can of soup = 300 mg

Amount of sodium per frozen dinner = 550 mg

They all collectively contain 5,750 mg of sodium

Tyler purchased twice as many cans of soup as frozen dinners

2. Determine the number of cans of soup purchased and the number of frozen dinners purchased.

Let s to represent the number of cans of soup Tyler purchased

Let d to represent the number of frozen dinners Tyler purchased

Let's write our equation of systems:

s = 2d (1st equation)

300s + 550d = 5,750 (2nd equation)

************************************************

Substituting s and solving for d in the 2nd equation:

300s + 550d = 5,750

300 * 2d + 550d = 5,750

600d + 550d = 5,750

1,150d = 5,750

d = 5,750/1,150

<u>d = 5 ⇒ s = 2 * 5 = 10</u>

<u>Tyler purchased 10 cans of soup and 5 frozen dinners.</u>

Let's prove d = 5 and s = 10 are correct:

300 * 10 + 550 * 5 = 5,750

3,000 + 2,750 = 5,750

5,750 = 5,750

<u>We proved d = 5 and s = 10 are correct</u>

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Step-by-step explanation:

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Answer:

e) The mean of the sampling distribution of sample mean is always the same as that of X, the distribution from which the sample is taken.

Step-by-step explanation:

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