Mathematics, 15.04.2020 15:30 owo73

Let the measure of = a°. Because and form a circle, and a circle measures 360°, the measure of is 360 – a°. Because of the theorem, m∠A = degrees and m∠C = degrees. The sum of the measures of angles A and C is degrees, which is equal to , or 180°. Therefore, angles A and C are supplementary because their measures add up to 180°. Angles B and D are supplementary because the sum of the measures of the angles in a quadrilateral is 360°. m∠A + m∠C + m∠B + m∠D = 360°, and using substitution, 180° + m∠B + m∠D = 360°, so m∠B + m∠D = 180°.

Answers: 3

Show answers

Answers

Answer from: parkerfreeze

inscribed angle

Step-by-step explanation:

Answer from: andybiersack154

Inscribed Angle Theorem

Step-by-step explanation:

Quadrilateral ABCD is inscribed in a circle. Let the measure of arc BAD be a°. Arcs BCD and BAD form a circle and a circle measures 360°, then measure of arc BCD is 360°-a°.

The inscribed angle theorem states that an angle inscribed in a circle is half of the central angle that subtends the same arc on the circle.

Because of the Inscribed angle theorem,

The sum of the measures of angles A and C is

Therefore, angles A and C are supplementary, because their measures add up to 180°.

Angles B and D are supplementary, because the sum of the measures of the angles in a quadrilateral is 360°.

m∠A + m∠C + m∠B + m∠D = 360°,

and using substitution,

180° + m∠B + m∠D = 360°, so m∠B + m∠D = 180°.

inscribed angle theorem

Answer from: Quest

341

step-by-step explanation:

all you have to do is 9x31 (which equals 279) and then 20x31 (which equals 620). then you have to subtract. 620-279=341.

Answer from: Quest

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

$ab^2+ac^2=bc^2$

$ab^2+ac^2=x^2$ )

triangle abd and cba are similar,

$\frac{ab}{bc}=\frac{bd}{ab}$

$ab^2=bc\cdot bd$

$25=bc\cdot bd$ (2)

triangle cad and cba are similar,

$\frac{ac}{bc}=\frac{cd}{ac}$

$ac^2=bc\cdot dc$

$7\times 7=bc\cdot dc$

$49=bc\cdot dc$ )

using (1), (2) and (3), we get

$25+49=x^2$

$74=x^2$

hence proved.

therefore option 2 is correct.

Another question on Mathematics

Mathematics, 21.06.2019 16:00

Choose the correct slope of the line that passes through the points (1, -3) and (3, -5)

Answers: 3

Answer

Mathematics, 21.06.2019 17:00

16 more than the product of 5 and p

Answers: 3

Answer

Mathematics, 21.06.2019 23:30

Johnny rode his bike to a friends house 4 blocks down the street in his neighborhood. he immediately rode back home once he realized his friend was unable to play. what was his displacement for the total bike ride trip? what could you use as a reference point ? show the steps to solve this problem.

Answers: 3

Answer

Mathematics, 22.06.2019 02:10

Given: m zade = 60° and m2cdf = (3x + 15) prove: x = 15

Answers: 3

Answer

You know the right answer?

Let the measure of = a°. Because and form a circle, and a circle measures 360°, the measure of is 36...

Questions