<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
Im guessing 3 i really dont know.. i dont understand what it means by 4 channels.
It really depends on the situation as probability depends on logic more than simple mathematical equations. However you must keep in mind a few principles:
1- P = number of possible outcomes of the event / total outcomes
2- P always less than or equal to 1.
3- For independent events A and B to occur simultaneously, P= P(A) x P(B)
You can send me the question you’re stuck at for further help.
Answer:
18
Step-by-step explanation:
Factors of 54
1, 2, 3, 6, 9, 18, 27
Factors of 72
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36
Factors of 18
1, 2, 3, 6, 9, 18.
Greatest Common Factor
We found the factors and prime factorization of 72, 54 and 18. The biggest common factor number is the GCF number.
So the greatest common factor 72, 54 and 18 is 18.
Answer:
A
Step-by-step explanation:
the answer is A. if you notice the y-intercept, it its at -5
A is the only answer choice that gives -5 as the y-intercept
another way to make sure that A is the right answer is to calculate the slope
when you increase 3 units UP (y), you increase 5 units to the RIGHT (x)
since slope is y/x, it should be 3/5 which is also in A
another way to check A is to plug in points
hope this helps!