<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
The answer is D. x-axis, because of the layout of (x,y), meaning there would be an x value of -10, but no y value so it would sit on the x-axis
Answer:
Number of student tickets were sold = 409
Step-by-step explanation:
Total number of tickets sold = 771
I.e Students ticket (S) + Non students ticket(N S) = 771
Total amount to be paid for tickets = $ 3037
Amount paid by students per tickets = $3
Amount paid by non-students per tickets = $5
So, according to question
S + NS = 771
3 S + 5 NS = 3037
Solve both equations
5 S + 5 NS = 771 × 5
3 S + 5 NS = 3037
so ,
(5 S + 5 NS) - (3 S + 5 NS ) = 3855 - 3037
Or, 2 S = 818
I.e S = 
= 409
Hence, The number of student tickets were sold = 409 Answer
It took 60 seconds to fax all documents to Gem
Step-by-step explanation:
The simple addition has to be done to solve the given problem
Given
total faxes = 4
Time for fax 1: 
Time for fax 2: 
Time for fax 3: 
Time for fax 4: 
The total time t will be:
Hence,
It took 60 seconds to fax all documents to Gem
Keywords: Time, addition
Learn more about addition at:
#LearnwithBrainly
Answer:
a=1/2 b=5/4 c=2^5/4 . ??
Step-by-step explanation:
I am not sure if the a is supposed to be a second exponent but I solved this as if it wasn't.
