All categories

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°.

You might be interested in

A party rental company has chairs and tables to rent. The total cost for 3 chairs and 2 tables is $25. To rent 5 chairs and 6 ta

vlabodo [156]

5 and 6 is 65 and 3 and 2 is 25 so I would say add 65 and 25

5 0

3 years ago

From a box containing 10 cards numbered 1 to 10, four cards are drawn together. The probability that their sum is even is 21 21

ankoles [38]

Answer:

Step-by-step explanation:

We know that between 1 to 10 there are 5 even and 5 odd numbers.

We could get 4 even cards , 4 odd cards or 2 odd and 2 even cards

Let´s check all this combinations

Case 1: When all 4 numbers are even:

We are going to take 4 of the 5 even numbers in the box so we have

$5C4=5$

Case 2: When all 4 numbers are odd:

We are going to take 4 of the 5 odd numbers in the box, so we have

$5C4=5$

Case 3: When 2 are even and 2 are odd:

We are giong to take 2 from 5 even and odd cards in the box so we have

$5C2 * 5C2$

Remember that we obtain the probability from

$\frac{Number-of-favourable-Outcome}{Total-number-of-outcomes}$

So we have the number of favourable outcomes but we need the Total cases for drawing four cards, so we have that:

We are taking 4 of the 10 cards:

$10C_4=210$

Hence we have that the probability that their sum is even

$\frac{5+5+100}{210}=\frac{11}{21}$

8 0

3 years ago

What is most likely the line of best fit for this scatter plot? Graph shows numbers from 0 to 10 at increments of 1 on the x axi

kolezko [41]

Answer:

Line B

Step-by-step explanation:

Line B would best fit the scatter plot because the dots aline most similar to how Line B does. If you were to look at the angle Line B is at, most of the dots line up in the way Line B does. Therefore, Line B best fits the scatter plot.

6 0

3 years ago

Read 2 more answers

Find the value of x. 6 8 4 x

snow_tiger [21]

Answer:

3

Explanation:

4 is half of 8 on the right side, so that means X has to be half of 6, so it’s 3. Also, it couldn’t be 2 because it is too big, and it can’t be 4 because it isn’t the same length as the other 4, so it’s 3

8 0

3 years ago

What is a mixed number for 5/2

m_a_m_a [10]

Answer: 2 1/2

Step-by-step explanation: Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction. Hope this helps!! PLZ mark me!!!

8 0

3 years ago