Answer:
The correct answer is 5, $10 pens; 1, $3 pen; 94, 50 cents pens.
Step-by-step explanation:
A student has to buy 100 ball point pens and she has $100 to get the job done.
Price of three different pens are $10, $3 and 50 cents or $0.5.
Let the student buy x number of $10 pens and y number of $3 pens. Number of 50 cents pens bought by the student is 100 - x - y. ( x,y
1)
Total amount spent is 10x + 3y + 0.5(100 - x - y) = 100
⇒ 9.5x + 2.5y + 50 = 100
⇒ 1.9x + 0.5y = 10
⇒ 19x + 5y =100
Value of x (in order to hold the equality where both x and y are positive and greater than 1) is 5 and y is 1.
Total number of 50 cents pen bought is 94.
Thus the student buys 5, $10 pens; 1, $3 pen and 94, 50 cents pens.
Answer:
Option B
Step-by-step explanation:
By applying the converse theorem of corresponding angles,
"If corresponding angles formed between two parallel lines and the transversal line are equal then both the lines will be parallel"
Angle between line B and Y = 90°
Angle between line B and Z = 90°
Therefore, corresponding angles are equal.
By applying converse theorem, line Y and line Z will be parallel.
Option B will be the answer.
Check the picture below.

now, notice, for the angle hAC, the hypotenuse is hA, and the adjacent side is CA, therefore,
![\bf cos(\theta)=\cfrac{adjacent}{hypotenuse}\qquad cos(hAC)=\cfrac{5}{hA}\implies hA=\cfrac{5}{cos(hAC)} \\\\\\ hA=\cfrac{5}{cos\left[ \frac{cos^{-1}\left( \frac{5}{13} \right)}{2} \right]}](https://tex.z-dn.net/?f=%5Cbf%20cos%28%5Ctheta%29%3D%5Ccfrac%7Badjacent%7D%7Bhypotenuse%7D%5Cqquad%20cos%28hAC%29%3D%5Ccfrac%7B5%7D%7BhA%7D%5Cimplies%20hA%3D%5Ccfrac%7B5%7D%7Bcos%28hAC%29%7D%0A%5C%5C%5C%5C%5C%5C%0AhA%3D%5Ccfrac%7B5%7D%7Bcos%5Cleft%5B%20%5Cfrac%7Bcos%5E%7B-1%7D%5Cleft%28%20%5Cfrac%7B5%7D%7B13%7D%20%5Cright%29%7D%7B2%7D%20%5Cright%5D%7D)
make sure your calculator is in Degree mode, if you need the angle in degrees.
It would be n - 5
It’s saying 5 LESS than a number so 5 would be subtracted
Hope this helps!