Check the picture below.
a)
notice, since lines KP and NL are parallel, they make up the same angle in purple when they hit line MK, and both triangles share the green angle at M.
b)
notice, LP = LK = 14, and in an isosceles twin sides stemming from a vertex make twin angles.
Answer:
x = 11
Step-by-step explanation:
Since we are given triangle PQR is similar to triangle PTU, we can write a proportion to connect the side lengths:
PQ / PT = QR / TU = PR / PU
We don't really care about QR and TU because the are irrelevant to the problem, so we can remove them:
PQ / PT = PR / PU
Now, we can substitute the values given by the diagram:
70 / 30 = 49 / (x + 10)
We can cross multiply,
70(x + 10) = 30 * 49
And divide by 70 on both sides(too lazy to multiply :P)
x + 10 = 3 * 7
x + 10 = 21
x = 11
The first condition is for the perimeter of the equation so:
Now the secon condition is that the sum of two sides should be:
so the negative option and 0 don't make sence dor a distance, then we try with the value of b=0.5
So in the first equation will be:
So the condition:
this is false, so the solution is
Answer:
the answer to this is n+4
Step-by-step explanation:
Answer:
Option B - 9 hours
Step-by-step explanation:
Given : Three machines operating independently, simultaneously, and at the same constant rate can fill a certain production order in 36 hours. If one additional machine were used under the same operating conditions.
To find : In how many fewer hours of simultaneous operation could the production order be filled?
Solution :
Let the numbers of hours taken including additional machine i.e. 4 machines be 'x' hours.
So, 3 machines take 36 hours
and 4 machines take x hours.
Then,
i.e. 4 machines spend 27 hours to do work.
Number of fewer hours of simultaneous operation could the production order be filled is given by,
hours
Therefore, the work could be done in 9 hours less.
So, the correct answer is B.