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2 years ago

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

Mathematics

1 answer:

azamat2 years 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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Liz wants to drink 1.5 litres of water each day. She buys the water in packs of 6 bottles. Each bottle contains 0.5 litres of wa

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3 years ago

Read 2 more answers

Which angles are coterminal with an angle drawn in standard position measuring 282°?

vampirchik [111]

Answer:

−438°, -78°, 642°

Step-by-step explanation:

Given angle:

282°

To find the co-terminal angles of the given angle.

Solution:

Co-terminal angles are all those angles having same initial sides as well as terminal sides.

To find the positive co-terminal of an angle between 360°-720° we will add the angle to 360°

So, we have: $282\°+360\°=642\°$

To find the negative co-terminal of an angle between 0° to -360° we add it to -360°

So, we have: $282\°-360\°=-78\°$

To find the negative co-terminal of an angle between -360° to -720° we add it to -720°

So, we have: $282\°-720\°=-438\°$

Thus, the co-terminal angles for 282° are:

−438°, -78°, 642°

7 0

3 years ago

Solve 5x = 2 writing your answer as a fraction in its simplest form

sveticcg [70]

Answer:

x = 2/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

5x = 2

Step 2: Solve for x

Divide 5 on both sides: x = 2/5

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: 5(2/5) = 2
Multiply: 2 = 2

Here we see that 2 does indeed equal 2.

∴ x = 2/5 is the solution to the equation.

5 0

3 years ago