Given two similar right triangles MIT and MSR such that side MR is an extension of side MT, side MS is an extension of side MI and the side IT is parallel to side SR.
Also, give that <span>If MS = 20 m, MT = 9 m, and RM = 12 m. To find the value of IM, we recall that the ratio of any two sides of a similar figure is equal to the ratio of the corresponding sides of the other triangle.
i.e. IM / MT = MS / RM
</span> IM / 9 = 20 / 12
IM = (9 x 20) / 12 = 15
Therefore, the measure of side IM is 15 m.
Answer:
C. -1 1/4
Step-by-step explanation:
First, we substitute -5 for x.

Then, we evaluate.

X = 2 times 94 = 188 - 112 = 76
Answer:
82.5 feet.
Step-by-step explanation:
Let x represent number of days and y represent height of the plant.
We have been given that Jamie is measuring the growth of a bean plant in her garden. On the first day, the plant is 2.5 inches tall. Point (1,2.5) represent this situation.
On the fourth day, it is 14.5 inches tall. This information can be represented by point (4,14.5).
Let us find slope of the line using given points.




Now, we will point-slope form of equation to find the equation for the height of the plant.




Now, we will substitute
in our equation.



Therefore, the height of Jamie’s plant will be 82.5 feet on the twenty-first day if it continues to grow.