Please hurry .... Point Z is equidistant from the sides of RST which must be true?
2 answers:
Answer with explanation:
In Δ R ST, Z C ⊥ RT, Z B ⊥TS, and Z A ⊥ RS.
Draw a circle Passing through points A,B and C.
→→Z A=Z B=Z C=Radius of the circle having center Z.
The Angle between Radius and tangent line measures 90°.
Also, The theorem which we will use here to find out which option is true among four options is:
⇒Length of tangent from external point to a circle are equal.
In Δ ZAS and Δ ZBS
∠ ZAS = ∠ ZBS→→→Each being 90°
ZA=ZB→→→Radii of circle
SA=SB→→Length of tangent from external point to a circle are equal.
Δ ZAS ≅ Δ ZBS→→→→→[SAS]
∠ ASZ ≅ ∠BSZ→→→→→→[CPCT]
Option D: ∠ ASZ ≅ ∠BSZ is correct among four options.
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Answer:
-30% or 30% decrease
Step-by-step explanation:
What's percentage decrease?
- Percent decrease is the difference between the initial value and new value, indicating a loss of value.
- The formula to find percent decrease is
, where NV = new value and IV = initial value.
How do we solve this problem?
- We know that the original value was $60, so that represents IV. Also, now that the price is $42, it represents NV.
- Now, we plug in the values!
Therefore, the answer is 30% decrease.