Answer:
c= 39.95 +0.15 (s + r) (take the 63 received and plug it in for r and 53.45 in for c then solve)
53.45= 39.95 +0.15 (s +63) (use the distributive property)
53.45 = 39.95 + 0.15s + 9.45 (combine like terms on the right side)
53.45 = 49.40 +0.15s (subtract 49.40 from both sides)
4.05 = 0.15s (divide both sides by 0.15 so isolate s)
s= 27 (how many text messages were sent)
Step-by-step explanation:
I hope this helps :)
<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
I think it might be b. I'm super sorry if I'm wrong I tried my best :(
The perpendicular bisector theorem