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3 years ago

Based on the given diagram, if mZ1 = 60°, then m 2 =

Mathematics

1 answer:

mash [69]3 years ago

5 0

Answer:

m∠2 = 30°

Step-by-step explanation:

Lines AD and BF are perpendicular, so m∠BOD = 90°

m∠1 + m∠2 = 90

plug in given value:

60° + m∠2= 90°

m∠2 = 30°

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Two factors of –48 have a difference of 19. The factor with a greater absolute value is positive. What is the sum of the factors

statuscvo [17]

Answer:

Step-by-step explanation:

Two factors of -48... that means two numbers which multiplied together give a result of -48, like -6 and 8 for example.

The difference of those two factors is -19. There not that many possible factors for -48, so if we list them we'll be able to spot a pair with a difference of 19.

A first list of factors for -48 is: -1 and 48, -2 and 24, -3 and 16, -4 and 12, -6 and 8.

We can create another list by inverting the signs: 1 and -48, 2 and -24, 3 and -16, 4 and -12, 6 and -8.

The question says the difference of the two factors is 19... can you spot in each list a pair of factors having a difference of 19? I see -3 and 16 and also 3 and -16.

The question also say the one of the greatest absolute value is positive... so that means it's a pair with +16, not -16.

The pair of factors we're looking for is then -3 and 16. They are factors of -18, they have a difference of 19, and the one with the greatest absolute value is positive.

The sum of -3 and 16 is 13.

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4 years ago

Can someone please explain how the answer to this is, "19 and 3", "1 and 12"

Makovka662 [10]

Using the image given, the angles that are Alternate Exterior Angles are: 1, 2, 3, 4,13,14, 18, 19.

<h3>What are Alternate Exterior Angles?</h3>

These are known to be the Alternate exterior angles that are regarded as the pair of angles found on the outer side of the two parallel lines but they are seen on the opposite side of the transversal.

Note that in the image given, there are two parallel lines and two transversal lines.

Note also that to get the Alternate exterior angles, it has to be the angles seen on the seen on the opposite side of the transversal that has crossed the parallels lines and from the image given, only angle 1, 2, 3, 4,13,14, 18, 19 fit into the description.

Therefore, Using the image given, the angles that are Alternate Exterior Angles are: 1, 2, 3, 4,13,14, 18 19.

Learn more about Alternate Exterior Angles from

brainly.com/question/2398628

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2 years ago

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solong [7]

Answer:

Step-by-step explanation:

Paul can type 60 words per minute and Jennifer can type 80 words per minute. Paul typing speed / Jenifer typing speed = 60/80 = 3/4. Paul type 3/4 as fast as Jennifer. Log in for more information.

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3 years ago

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PLEASE HELP ME WITH BOTH QUESTIONS<br> THANKS!!

vitfil [10]

First one:

cos(A)=AC/AB=3/4.24

cos(B)=BC/AB=3/4.24

Cos(A)/cos(B)=AC/AB / (BC/AB) = AC/AB * AB/BC = AC/BC=3/3=1

Second one:

To solve this problem, we have to ASSUME AFE is a straight line, i.e. angle EFB is 90 degrees. (this is not explicitly given).

If that's the case, AE is a transversal of parallel lines AB and DE.

And Angle A is congruent to angle E (alternate interior angles).

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3 years ago

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bogdanovich [222]

Answer:

Step-by-step explanation:

9y - 6 + 51 = 90

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3 years ago

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