<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:
5.4
Step-by-step explanation:
The equations are equal so set them equal to each other and solve
Multiply all of them together.10*9*8 and so on...
3,628,800 ways !
Answer:
58 degrees
Step-by-step explanation:
If figures are similar to each other, it means that they have the same measures. Therefore, D has the same measure as G, E has the same measure as H, and F has the same measure as I.
Answer:
C. 24.27 cm
Step-by-step explanation:
sin 65° = opposite ÷ hypotenuse
sin 65° = 22/x
multiply both sides of the equation by x
(sin 65°)x = 22
divide both sides of the equation by sin 65°
x = 22 ÷ sin 65°
punch in 65 sin into your calculator
x = 22 ÷ 0.90631
x = 24.27 cm