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1 year ago

Find m/KMN. L 60° K 1⁰40 6x (11x+15)° N

Mathematics

2 answers:

Luda [366]1 year ago

7 0

Answer:

the answer is angle 90

Step-by-step explanation:

miskamm [114]1 year ago

4 0

Answer:

114°

Step-by-step explanation:

The exterior angle is the sum of the remote interior angles.

<h3>setup</h3>

(11x +15)° = 60° +6x°

<h3>solution</h3>

5x = 45 . . . . . . . . . divide by °, subtract 15+6x

x = 9 . . . . . . . . . . divide by 5

The measure of exterior angle KMN is ...

m∠KMN = (11(9) +15)° = 114°

_____

<em>Additional comment</em>

Both the sum of interior angles and the sum of angles of a linear pair are 180°. If M represents the interior angle at vertex M, then we have ...

60° +6x° +M = 180°

(11x +15)° +M = 180°

Equating these expressions for 180° and subtracting M gives the relation we used above:

(11x +15)° +M = 60° +6x° +M . . . . . equate the two expressions for 180°

(11x +15)° = 60° +6x° . . . . . . . . . . . subtract M

This is also described by "supplements to the same angle are equal."

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Answer:

37.52 million

Step-by-step explanation:

using,

A = A'(1+R/100)ⁿ............................. equation 1

Where A = population size in 2015, A' = Initial population, R = rate in percentage, n = number of times between 2010 and 2015.

Given: A' =35.7 million, R = 1%, n = 5.

Substitute these values into equation 1

A = 35.7(1+0.01)⁵

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Hence the size of the population of the country in the year 2015 is 37.52 million

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2 years ago

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trapecia [35]

Answer:

1/5^7 (the last one)

Step-by-step explanation:

When dividing exponents you subtract the the two exponents. In this case you subtract 3 from -4. -4-3=-7. So you have 5^-7. That is also equal to 1/5^7

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3 years ago

State whether the following uses inductive or deductive reasoning: What goes up, must come down. When you throw a baseball up in

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2 years ago

Read 2 more answers

What is −13+2z=−56 Thanks

Zinaida [17]

<h3>Original Equation:</h3>

$-\frac{1}{3}+2z=-\frac{5}{6}$

<h3>Steps:</h3>

<em>*To solve for a variable, isolate the desired variable onto one side.</em>

Firstly, we want to add 1/3 to each side however -5/6 and 1/3 do not share the same denominator, and we want them to have that and we can do that by finding the LCD, or lowest common denominator. To find the LCD, list the multiples of 6 and 3 and the lowest multiple that they share is their LCD. In this case, their LCD is 6. Multiply -1/3 by 2/2:

$-\frac{1}{3}\times \frac{2}{2}=-\frac{2}{6}\\\\-\frac{2}{6}+2z=-\frac{5}{6}$

Now that we have common denominators, add both sides by 2/6:

$2z=-\frac{3}{6}\\\\2z=-\frac{1}{2}$

Next, you want to cancel out 2 to isolate z. Usually, one would divide both sides by 2, however remember that <u>dividing by a number is the same as multiplying by it's reciprocal.</u> To find a number's reciprocal, flip the numerator and denominator around. In this case, since 2 is a <em>whole number</em> this means that the denominator is 1. In this case: 2/1 would become 1/2. Multiply both sides by 1/2:

$\frac{1}{2}\times 2z= -\frac{1}{2}\times \frac{1}{2}\\\\z=-\frac{1}{4}$

<h3>Final Answer:</h3>

<u>Your final answer is z = -1/4.</u>

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2 years ago

25x -5 + 32 = (when x = 3)

Ugo [173]

Answer:

102

Step-by-step explanation:

25 x 3 - 5 + 32

75 - 5 + 32

70 + 32

=102

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2 years ago

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Find m/KMN. L 60° K 1⁰40 6x (11x+15)° N​

Find m/KMN. L 60° K 1⁰40 6x (11x+15)° N