Answer: Yes, ASA, Triangle ABC is congruent to Triangle AHG.
Step-by-step explanation:
AH is congruent to AB ( given)
Angle AHG is congruent to Angle ABC (given)
Angle HAG is congruent to Angle BAC (vertical angles).
Therefore, Triangle ABC is congruent to Triangle AHG by ASA.
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.
208 ÷ 13 = 16, so her rate is $16 per hour. Through guess and check,
Kira would have to work 11 hours to make $176.
You can just plug in 16 for X
F(16) when F(x)=4x-8
F(x)=4(16)-8
F(x)=64-8
F(x)=56