<u>Solution-</u>
Given that,
In the parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm.
Then considering ΔPQT and ΔSTF,
1- ∠FTS ≅ ∠PTQ ( ∵ These two are vertical angles)
2- ∠TFS ≅ ∠TPQ ( ∵ These two are alternate interior angles)
3- ∠TSF ≅ ∠TQP ( ∵ These two are also alternate interior angles)
<em>If the corresponding angles of two triangles are congruent, then they are said to be similar and the corresponding sides are in proportion.</em>
∴ ΔFTS ∼ ΔPTQ, so corresponding side lengths are in proportion.
As QS = TQ + TS = 10 (given)
If TS is x, then TQ will be 10-x. Then putting these values in the equation
∴ So TS = 3.85 cm and TQ is 10-3.85 = 6.15 cm
Answer:
4877 fish
Step-by-step explanation:
Each year, the fish population is multiplied by 1-6% = 0.94, so after 8 years it has been multiplied by 0.94^8 ≈ 0.609569.
At that time, the population is ...
8000×0.609569 ≈ 4877 . . . fish
Answer:
C
Step-by-step explanation:
The first equation has to be the ratio of raisins to sunflower seeds. If r is raisins and p is sunflower seeds and there are 3 times as many raisins as sunflower seeds then the first equation must be 3r=p
The second equation should model the prices properly. Raisins are 1.5 per pound and sunflower seeds are 4 per pound, because of this we should have 1.5r (r being each pound of raisins) and 4p (p being each pound of sunflower seeds). From this we know the second equation must be 4p+1.5r=34