<h3>
<u>Given</u><u> </u><u>:</u><u>-</u></h3>
- PQ = 8cm
- Radius = 5cm
- Two Tangents = P & Q.
<h3>
<u>Construction</u><u> </u><u>:</u><u>-</u></h3>
<h3>
<u>⟼</u><u> </u><u>Solution</u><u> </u><u>:</u><u>-</u></h3>
Here, ΔTPQ is isosceles and TO is the angle bisector of ∠PTO.
[∵ TP=TQ = Tangents from T upon the circle]
⠀⠀⠀⠀⠀⠀⠀⠀∴ OT⊥PQ
⠀⠀⠀
___________________________________________
By Applying Pythagoras Theorem in ∆OPR :
OR = √OP² - PR²
OR = √5² - 4²
OR = 3cm
__________________________________________
Now,
∠TPR + ∠RPO = 90° (∵TPO=90°)
∠TPR + ∠PTR (∵TRP=90°)
<u>
</u><u>∴ ∠RPO = ∠PTR</u>
⠀⠀
<u>∴ Right triangle TRP is similar to the right </u><u>triangle</u><u> </u><u>PR</u><u>O</u><u>.</u> [By A-A Rule of similar triangles]
⟼
⟼
⟼
<h3>Hence you got your answer here. </h3>
⠀⠀⠀⠀⠀
<h2>-MissAbhi</h2>
Answer:
25%
Step-by-step explanation:
hopes this helps you
Step-by-step explanation:
3x + 5x - 2t = 8
3 . (-1) + 5 . (-1) - 2t = 8
-3 - 5 - 2t = 8
-8 - 2t = 8
-2t = 8 + 8
-2t = 16
t = 16/-2
t = -8
<h3>#CMIIW</h3>
The answer is either the first or second if u can put 2 down then both
A piece-wise function combines more than one functions of different input values.
<em>The value of f(-1) is -3</em>
From the graph, we have the following observations
- <em>When x = -1, y = -3</em>
- <em>When x = -1, y = -4</em>
Notice that there is a closed circle at the point where x = -1 and y = -3.
This means that y = -3 is inclusive of the values of y on that particular function
However, there is an open circle at the point where x = -1 and y = -3.
This means that y = -4 is exclusive of the values of y on that particular function
The correct corresponding value of y is when y is inclusive.
Hence, the value of f(-1) is -3
See attachment for the graph of the piece-wise functions
Read more about piece-wise functions at:
brainly.com/question/11547854