<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:
The baker bought 8 pounds of apples and 4 pounds of bananas.
Step-by-step explanation:
a+b=12.
0.75a+1.05b=10.20
First, multiply 2 my 10.
75a+105b=1020.
Then multiply 1 by 75.
75a+75b=900.
Then subtract.
75a+105b=1020
75a+75b=900.
75a-75a+105b-75b=1020-900
30b=120
b=4
Substitute into (1)
a+4=12
a=8.
Hope this helps :)
Answer:
3 is the answer
Step-by-step explanation:
Mark brainliest
Hope this helps with your questions :)
The answers to the bearing problems are listed below:
- How far North is the ship now ___________ 38.82 km
- How far East is the ship now ____________ 144.89 km
- How far is the ship from its starting point_____241.48 km
- On what bearing is it now from its original position____035°
<h3>Meaning of bearing.</h3>
Bearing can defined as branch of mathematics that describes the accurate location of an object at any point in time.
<h3>Analysis</h3>
The answers to the problem from 1-3 can be gotten by using sin and cos to find the missing sides.
The final value can be gotten using the cosine rule
4). bearing from original position = 
(
+ 
﹣
) / 
= 35°
In conclusion, the answers for each is given in the list above.
Learn more about Bearing: brainly.com/question/24142612
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