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3 years ago

From the diagram below, Is m∠A = 105? and Is ∠B = 75?

Mathematics

2 answers:

PilotLPTM [1.2K]3 years ago

7 0

$LINES \: \: AND \: \: ANGLES \\ \\ \\\\In \: the \: attached \: figure \: , \\ \\ Angles \: \: \: a \: \: \: and \: \: \: b \: \:, \: As \: shown \: above \: \\ are \: called \: Co - interior \: angles \\ \\ a \: + \: b \: = \: 180 \: ( \: True \: for \: all \: \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: Co - interior \: angles \: ) \\ \\ In \: the \: given \: question \: \: A \: \: and \: \: 105 \: \: \\ are \: Co - interior \: angles \\ \\ A \: \: + \: \: 105 \: \: = \: \: 180 \\ \: \: \: \: || \: \: A \: \: = \: \: 75 \: degrees \: \: \: || \: \: \: \: \: \: Ans. \\ \\ B \: \: and \: \: 75 \: \: are \: also \: \: Co - interior \: \\ angles\\ \\ B \: \: + \: \: 75 \: \: \: = \: \: 180 \\ \: \: \: \: || \: \: B \: \: = \: \: 105\: degrees \: \: || \: \: \: \: \: \: \: Ans.$

frutty [35]3 years ago

3 0

It is the other way around. Angle A = 75° and angle B = 105°.

105° and A are what they call allied/co-interior angles. They must add up to 180°. A= 180°-105° = 75°.

75° and B must also add up to 180°. 180°-75° = 105°.

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Please answer this question:)

kogti [31]

Answer:

your answer will be A. 38.5°

Step-by-step explanation:

m<ZYW=1/2(77)

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hope it helps..

4 0

3 years ago

Al principio Eduardo y Adrián tenían el mismo número de dulces. Eduardo le dio a Adrián la mitad de los dulces que tenía. Despué

Dennis_Churaev [7]

Answer:

Al final, Eduardo tenía 20 dulces.

Step-by-step explanation:

Dado que al principio Eduardo y Adrián tenían el mismo número de dulces, y Eduardo le dio a Adrián la mitad de los dulces que tenía, y después, Adrián le dio a Eduardo la mitad de los dulces que tenía él en ese momento, así que a Adrián le quedaron 12 dulces, para determinar cuántos dulces tenía Eduardo al final se debe realizar el siguiente cálculo:

Eduardo 1X = Adrián 1X

Eduardo 0.5X = Adrián 1.5X

Eduardo 1.25X = Adrián 0.75X

0.75 X = 12

X = 12 / 0.75

X = 16

1.25 X = 16 x 1.25 = 20

Así, al final, Eduardo tenía 20 dulces.

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3 years ago

A circle has been split into 8 sectors each of which can be colored as 4 different colors, and no consecutive sectors are colore

Eva8 [605]

Answer:

5832 ways

Step-by-step explanation:

Since the circle has 8 sectors and there is 4 colour,

Assuming the sectors are numbered 1 to 8,

Sector 1 : can be coloured with any of the 4 colour in 4 ways

Sector 2 can be coloured with any of the remaining 3 colours in 3 ways

Sector 3 in 3 ways without using the colour in sector 2

Sector 4 in 3 ways without using the colour in sector 3

Sector 5 in 3 ways without using the colour in sector 4

Sector 6 in 3 ways without using the colour in sector 5

Sector 7 in 3 ways without using the colour in sector 6

Sector 8 in 2 ways without using the colours in sector 1 and 7

Number of ways of colouring = 4*3*3*3*3*3*3*2 = 5832 ways

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Rashid [163]

Answer:

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Step-by-step explanation:

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3 years ago

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