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3 years ago

If the measure of an exterior angle drawn at vertex M

Mathematics

2 answers:

Rom4ik [11]3 years ago

7 0

Answer:

Step-by-step explanation:

We are given that measure of an exterior angle which are drawn at vertex M=x

We have to find the value of measurement of angle L+measurement of angle N.

Exterior angle:It is defined as that angle of triangle which is formed by the one side of triangle and the extension of an adjacent side of triangle. The measure of exterior angle is equal to sum of measures of two non-adjacent interior angles of a triangle.

Angle L and angle N are two non-adjacent angles of a given triangle LMN.

By definition of exterior angle

x=Measure of angle L+Measure of angle N

Sveta_85 [38]3 years ago

5 0

Answer:

An exterior angle of a triangle is equal to the sum of the opposite interior angles. For more on this see Triangle external angle theorem.

If the equivalent angle is taken at each vertex, the exterior angles always add to 360° In fact, this is true for any convex polygon, not just triangles.

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What is 3/4 of 60 step step

dem82 [27]

Answer:

Step-by-step explanation:

3/4 of 60 would be:

= 3/4 * 60

= 3*60 / 4

= 180 / 4

= 45

Hope this help you :3

5 0

2 years ago

Read 2 more answers

Your friend Michelle just graduated and has two job offers that she is considering. Both job offers pay the same, but JobA

just olya [345]

Money offered to Michelle per annum in Job A = $1700

Number of years she will work in job A = 5

Percentage of earnings per annum for her retirement plan = 6.60%

Money she will earn will be the simple interest at the end of 5 years.

We know that :

$\color{plum}{ \tt{Simple \: interest = \frac{Principle \ \: \times \: Rate \: \: \times \: \: Time}{100} }}$

Principal = $1700

Rate = 6.60%

Time = 5 years

Which means :

$= \frac{1700 \times 6.60 \times 5}{100}$

$= \frac{56100}{100}$

$= \color{plum}\$561$

We also know that :

$\color{plum}\tt \: Amount = Principal + Interest$

Amount Michelle will earn at the end of 5 years for her retirement plan :

$= 1700 + 561$

$=\color{plum}\bold{\$ 2261}$

2261 can be rounded off to 2260.

Therefore, Michelle will earn $2260 at the end of 5 years for her retirement plan.

5 0

2 years ago

Currently, an employee can assemble on average, x amount of masks per hour. An INDLS student makes twice as many N95 Masks as th

PtichkaEL [24]

The correct answers is 45 masks per hour

8 0

2 years ago

Find Horizontal and Vertical asymptotes for y=(x^2 -9)/(4x^2 +1)

Gnom [1K]

Answer: Horizontal asymptote is $\dfrac{1}{4}$ and vertical asymptotes are $\pm \dfrac{1}{2i}$

Step-by-step explanation:

Since we have given that

$y=\dfrac{x^2-9}{4x^2+1}$

We need to find the horizontal and vertical asymptotes.

Since vertical asymptotes will occur where the denominator becomes zero.

So, here denominator is $4x^2+1$

Now,

$4x^2+1=0\\\\4x^2=-1\\\\x^2=\dfrac{-1}{4}\\\\x=\pm \dfrac{1}{2i}$

And the horizontal asympototes will occur when the coefficient of higher degree of numerator is divided by coefficient of higher degree of denominator.

$y=\dfrac{1}{4}$

Hence, horizontal asymptote is $\dfrac{1}{4}$ and vertical asymptotes are $\pm \dfrac{1}{2i}$

8 0

3 years ago

The model includes a new park in the center of the city. If the dimensions of the

11111nata11111 [884]

The question is incomplete. Here is the complete question.

As a part of city building refurbishment project, architects have constructed a scale model of several city builidings to present to the city commission for approval. The scale of the model is 1 inch = 9 feet.

The model includes a new park in the center of the city. If the dimensions of the park in the model are 9 inches by 17 inches, what are the actual dimensions of the park?

Answer: 81 feet by 153 feet

Step-by-step explanation: Unit Scale is a ratio comparing actual dimensions of an object to the dimensions of model representing the actual object.

In the refurbishment project, the unit scale is given by

1 inch = 9 feet

So, the dimensions of the new park in actual dimensions would be

1 inch = 9 feet

9 inches = x

x = 9.9

x = 81 feet

1 inch = 9 feet

17 inches = y

y = 17.9

y = 153 feet

The actual dimensions of the new park are 81 feet by 153 feet.

6 0

2 years ago