Answer:
<h2>A rotation -90° around point I.</h2><h2>A translation upwards 2 units.</h2><h2>Step-by-step explanation:</h2>The given figures are attached.
We have to find two transformations that help to show that both polygon are congruent.
First transformation would be a rotation -90° around point I.
Second transformation would be a translation upwards 2 units.
Applying these transformation, we would have both polygons at the same position, that will show the congruence between them.
Answer:
Therefore the expression is option A)
Step-by-step explanation:
Given:
Statement as ' 8 less than two times X'
To Find :
Expression for the statement
'8 less than two times X'
Solution:
Now 8 less than two times X means Subtract 8 from '2x'
Therefore the expression is option A)
Answer: 4
Step-by-step explanation:
Let N be the total number of runs.
The microscopes per year will be equal to the total number of runs * microscopes per run
total number of microscopes = total number of runs * microscopes per run
now we have each run to cost 2500, therefore:
run costs = 2500 * total runs = 2500*N
we also have insurance and storage costs (note the average thats why we divide by 2):
storage costs = 20* microscopes per run /2 = 20*N/2
insurance costs = 15 * microscopes per run = 15*N
the costs are:
costs = run costs + storage + insurance
now the comany sells 1600 microscopes a year, so in order to figure out the number of microscopes per run we divide 1600 by the total number of runs N and replace in the costs
costs = 2500N + 40000/N => C(N) = 2500N + 40000/N
now derivate the function with respect to N and equal to 0:
this gives you two solutions, N = -4 which is not eligible (you cant make negative microscopes lol) and N = 4 which is the answer
have a nice day
Answer:
Step-by-step explanation:
As in the triangle RST,
Because if in a triangle two angles equal one another, then the sides opposite the equal angles also equal one another.
Incenter is obtained by the Intersection of a triangle's three angle bisectors and it is equidistant from the three sides of the triangle.
So, RP and TP are the angle bisectors of ∠R and ∠T respectively.