A plant is already 54 centimeters tall, and it will grow one centimeter every month. The plant's height, H (in centimeters), after M months is given by the following. What is the plant's height after 13 months?

67 cm

Step-by-step explanation:

We are given the initial height of the plant let's call it H.

H = 54 cm. This is the original height of the plant at M(months) = 0.

We are given that it grows at 1 cm/month. This is the rate of growth.

Rate = 1

Time (M) is given in Months.

So when M = 0, H = 54

Let's say M = 1, That is one month has passed. In this time the plant's height would have increased by 1 cm. So our plant's height would be H = 54+1 = 55 cm.

When Two months have passed our plant's height would be H = 54 + 2 = 56 cm , since every month our plant gains 1 cm in Height, we can make a fuction for this.

H = 1M + 54.

Now we just plug in 13 for M, to get 13 months.

H = 13 + 54

H = 67 cm

So our plant would be 67 cm in height after 13 months.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq