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1 year ago

Feliz is looking at a cyclic quadrilateral EFGH. He says, "I'm not convinced that opposite

Mathematics

1 answer:

azamat1 year ago

5 0

If the angle G is moved to a different spot in the circle the angle FGH and angle FEH in the cyclic quadrilateral will change to make it supplementary.

<h3>How to find angles of cyclic quadrilateral?</h3>

A cyclic quadrilateral is inscribed in a circle. It has all its vertices on the circumference of the circle.

Opposite angles in a cyclic quadrilateral are supplementary angles. That means they add up to 180 degrees.

Therefore,

∠F + ∠H = 180°

∠G + ∠E = 180°

Hence, if we moved ∠G to a different spot on the circle, angle FGH would change but angle FEH will also change to make the two opposite angles supplementary.

Therefore, Felix was wrong.

learn more on cyclic quadrilateral here: brainly.com/question/21208662

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2 years ago

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2 years ago

In a recipe for fizzy grape juice, the ratio of cups of sparkling water to cups of grape juice concentrate is 3 to 1. a) Find tw

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Answer:

$6:2,\,9:3$

Step-by-step explanation:

Given: The ratio of cups of sparkling water to cups of grape juice concentrate is $3:1$ in a recipe for fizzy grape juice.

To find: two more ratios of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe

Solution:

Equivalent ratios are the ratios that have the same value.

Find two ratios equivalent to $3:1=\frac{3}{1}$

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$\frac{3(2)}{1(2)} =\frac{6}{2}$

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