The number of 30- period until the value if the give card be equal is 20 30- day period
<h3>How to write and solve equation</h3>
let
- Number of 30- day period = x
Card 1:
50 - 2x
Card 2:
40 - 1.50x
50 - 2x = 40 - 1.50x
50 - 40 = -1.50x + 2x
10 = 0.50x
- divide both sides by 0.50
x = 10/0.50
x = 20
In conclusion, it will take 20 30- day period until the value of the given card can be equal.
Complete question:
Tavon has a $50 gift card that loses $2 for each 30-day period it is not used. He has a $40 card that loses $1.50 for each 30-day period it is not used.
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Answer:
Each guest got 3. (if he doesn't have any for himself).
Step-by-step explanation:
if each guest is x
30=10x
divide by 10
x=3
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(2x-3)(x+5)=0 is the factored form
x=3/2, x=-5
So r=1.5 and s=-5
r-s=1.5-(-5)
r-s=6.5
Answer:
Given : EFGH is a parallelogram.
Prove: EG bisects HF and HF bisects EG.
Since, a parallelogram has two pairs of congruent and parallel sides.
Therefore, In parallelogram EFGH,
EF≅GH and EH≅FG
Also, EF║GH and EH║FG
Since,In triangles EKF and GKH,
EF≅HG
Since, EF║HG
⇒∠FEK ≅ ∠HGK and ∠EFK ≅ ∠ GHK ( When two parallel lines are cut by a transversal alternative interior angles are congruent )
⇒ Δ EKF ≅ Δ GKH ( ASA congruence postulate )
⇒ EK ≅ GK and FK ≅ HK ( CPCTC)
⇒ EG bisects HF and HF bisects EG ( Definition of bisector)
Hence proved.