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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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Match the following reasons with the statement givem

ANEK [815]

Answer:

AAS(Angle-Angle-Side) postulate states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then the two triangles are congruent

In triangle RAS and triangle QAT

$\angle R =\angle Q$ [Angle]

$AS =AT$ [Side] [Given]

By Base Angle Theorem states that in an isosceles triangle(i.e, AST), the angles opposite the congruent sides(AS =AT) are congruent.

⇒ $\angle 5= \angle 6$ [By base ∠'s of isosceles triangle are equal]

By definition of supplementary angles, if two Angles are Supplementary when they add up to 180 degrees.

$\angle 4$ , $\angle 5$ are supplementary and $\angle 6$ , $\angle 7$ are supplementary.

⇒ $\angle 4+ \angle 5 =180^{\circ}$ and

$\angle 6+ \angle 7 =180^{\circ}$

Two $\angle 's$ supplementary to equal $\angle 's$

$\angle 4+ \angle 5 =\angle 6+ \angle 7$

Since, $\angle 5 =\angle 6$

then, we get;

$\angle 4 =\angle 7$ [Angle]

then, by AAS postulates,

$\triangle RAS \cong \triangle QAT$

By CPCT[Corresponding Part of Congruent Triangles are equal]

$RS = QT$ Hence Proved!

7 0

3 years ago

13.41 x (5.4 divided by 9)

BabaBlast [244]

The value of the expression will be 8.166.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The mathematical expression is,

⇒ 13.41 x (5.4 divided by 9)

Now,

Solve the expression as;

⇒ 13.41 x (5.4 divided by 9)

⇒ 13.41 x (5.4 ÷ 9)

⇒ 13.41 x 0.6

⇒ 8.166

Thus, The value of the expression will be 8.166.

Learn more about the expression visit:

brainly.com/question/4344214

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6 0

1 year ago

Which graph shows the rule: output = 5 times the input ? explain please!!

kolezko [41]

The 2nd graph show the rule

6 0

3 years ago

Find the solution to the following system using substitution or elimination: y = 3x + 2 y = -2x - 8 O A. (-5,-) OB. (-2,-4) O C.

mr Goodwill [35]

Answer:

B. (-2,-4)

Explanation

Given equations:

y = 3x + 2

y = -2x - 8

Solving both equations will yield the values of x and y;

Solution:

y = 3x + 2 ----- (i)

y = -2x - 8 ------ (ii)

Using substitution method, input equation i, into ii

3x + 2 = -2x - 8

Collect like terms and solve;

3x + 2x = -8 -2

5x = -10

x = -2

Then put x = -2 into i, to find y

y = (-2 x 3) + 2

y = -6 + 2 = -4

So, the solution of the equation is B. (-2,-4)

6 0

3 years ago

What does x equal in this question

miskamm [114]

Theirs a trick to cheat on khan academy

1) Turn off Wifi
2) Go to hint and get the answer
3) Take picture of answer or remember it
4) Go to inspect element ——> arrows that look like this “>>”—> Application—-> Local Storage (click it until it says khan academy .com etc then click that then go to “X” by value and next to it click that then turn on wifi and put the answer

5 0

3 years ago