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2 years ago

Find m∠NAB a) 55 b) 110 c) 80 d) 95

Mathematics

2 answers:

earnstyle [38]2 years ago

8 0

Answer:

Step-by-step explanation:

The exterior angle is the sum of the opposite interior angles

8x+7 = 5x+40

Subtract 5x from each side

8x+7-5x = 5x+40-5x

3x+7 = 40

Subtract 7 from each side

3x+7-7 = 40-7

3x=33

Divide by 3

3x/3 = 33/3

x = 11

Find <NAB

<NAB = 8x+7 = 8*11+7 = 88+7 = 95

Korvikt [17]2 years ago

5 0

Answer:

$\huge\boxed{\sf$

Step-by-step explanation:

<u>Key:</u> The measure of exterior angle is equal to the sum of measures of non-adjacent interior angles.

8x + 7 = 5x + 40

Subtract 5x and 7 to both sides

8x - 5x = 40 - 7

3x = 33

Divide both sides by 3

x = 11

Now,

∠NAB = 8x + 7

∠NAB = 8(11) + 7 [x = 11]

∠NAB = 88 + 7

∠NAB = 95°

$\rule[225]{225}{2}$

Hope this helped!

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Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two

mafiozo [28]

Answer:

The difference of the original two-digit number and the number with reversed digits is 18.

Step-by-step explanation:

Since it's a two digit number, let x represent the tens digit and let y represent the units digit.

Thus, the original two digit number is;

10x + y.

The reverse two digit number is;

10y + x.

We are told that five times the sum of the digits of the two-digit number is 13 less than the original number.

Thus;

5(x + y) = (10x + y) - 13

Multiplying out the bracket gives;

5x + 5y = 10x + y - 13

Rearranging gives;

10x - 5x + y - 5y = 13

5x - 4y = 13 - - - - (3)

Also,we are told that, four times the sum of its two digits is 21 less than the reversed two-digit number. Thus;

4(x + y) = (10y + x) - 21 - - - (4)

Simplifying gives;

4x + 4y = 10y + x - 21

>> 10y - 4y - 4x + x = 21

>> 6y - 3x = 21 - - - (4)

Solving eq(3) and (4) simultaneously gives;

x = 5 and y = 3

Thus,

Original number = 53

Reversed number = 35

Difference between original and reversed number = 53 - 35 = 18

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3 years ago

How fast did the plane descend?

ohaa [14]

Answer:

5 meters per second

Step-by-step explanation:

First you must find the slope of the graph. Take the rise/run of the function. The graph starts at 8500 meters and goes down to 7500 meters in 200 seconds. the difference between the change in meters is 1000 meters and the change in seconds is 200 seconds. That is 1000/200. This can be simplified to 5/1 which is 5 meters per second.

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3 years ago

Read 2 more answers

Limit

STatiana [176]

Rationalize the numerator:

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This is continuous at $x=0$ , so we can evaluate the limit directly by substitution:

$\displaystyle\lim_{x\to0}\frac{\sqrt{x+4}-2}x=\lim_{x\to0}\frac1{\sqrt{x+4}+2}=\frac1{\sqrt4+2}=\frac14$

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