All categories

3 years ago

Find n please. I just forgot the simple theorem please someone andwrr

Mathematics

1 answer:

grigory [225]3 years ago

8 0

Answer:

118 degrees

Step-by-step explanation:

m = 124 / 2 = 62

Sum of opposite angles m and n is supplementary,

m + n = 180

62 + n = 180

n = 180 - 62

n = 118 degrees

You might be interested in

¿Qué es la condición física?

Olin [163]

Answer:

Step-by-step explanation:

8 0

3 years ago

Katy has 46 missing assignments in math class and 60 missing assignments in history. She has 106 missing assignments in total. K

guapka [62]

Answer:

She needs to do at least 8 a day

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Kaylee drove 75.5 miles in 54 minutes,if she continues to drive at the same rate, how long will it take her to drive 250 miles?

Crazy boy [7]

Answer:

179 minutes

Step-by-step explanation:

Divide both sides by 75.5 to see how many minutes it would take to drive 1 mile. (54 / 75.5) =108/151
She can drive 1 mile in 108/151 minutes
Times by 250. (108/151 * 250) 178.8
179 to nearest minute

7 0

3 years ago

Simplify the following expression 9/20 + 5/12

Artyom0805 [142]

9/20+5/12=14/32/2 equals a over all 7/16

4 0

3 years ago

Read 2 more answers

Compare the two graphs and explain the transformation that was applied to f(x) in order to look exactly like the graph of g(x).

Neporo4naja [7]

The two graphs are represented below.

Answer and Step-by-step explanation: One graph can "transform" into another through changes in the function.

There are 3 ways to change a function:

Shifting: it adds or subtracts a constant to one of the coordinates, thus changing the graph's location. When the y-coordinate is added or subtract and the x-coordinate is unchanged, there is a vertical shift. If it is the x-coordinate which changes and y-coordinate is kept the same, the shift is a horizontal shift;
Scaling: it multiplies or divides one of the coordinates by a constant, thus changing position and appearance of the graph. If the y-coordinate is multiplied or divided by a constant but x-coordinate is the same, it is a vertical scaling. If the x-coordinate is changed by a constant and y-coordinate is not, it is a horizontal scaling;
Reflecting: it's a special case of scaling, where you can multiply a coordinate per its opposite one;

Now, the points for f(x) are:

(-5,0) (0,6) (5,-4) (8,0)

And the points for g(x) are:

(-5,-3) (0,-9) (5,1) (8,-3)

Comparing points:

(-5,0) → (-5,-3)

(0,6) → (0,-9)

(5,-4) → (5,1)

(8,0) → (8,-3)

It can be noted that x-coordinate is kept the same; only y-coordinate is changing so we have a vertical change. Observing the points:

(-5,0-3) → (-5,-3)

(0,6-15) → (0,-9)

(5,-4+5) → (5,1)

(8,0-3) → (8,-3)

Then, the vertical change is a Vertical Shift.

Another observation is that y-coordinate of f(x) is the opposite of g(x). for example: At the second point, y-coordinate of f(x) is 6, while of g(x) is -9. So, this transformation is also a Reflection.

Range of a function is all the values y can assume after substituting the x-values.

Domain of a function is all the values x can assume.

Reflection doesn't change range nor domain of a function. However, vertical or horizontal translations do.

Any vertical translation will change the range of a function and keep domain intact.

Then, for f(x) and g(x):

graph translation domain range

f(x) none [-5,8] [-4,6]

g(x) vertical shift [-5,8] [-9,1]

In conclusion, this transformation (or translation) will affect the range of g(x)

5 0

2 years ago