99pts WILL GIVE BRAINLIEST Use the diagram and given information to answer the questions and prove the statement. Given: X Z P
rove: [see image] Re-draw the diagram of the overlapping triangles so that the two triangles are separated.
What additional information would be necessary to prove that the two triangles, XBY and ZAY, are congruent?
What congruency theorem would be applied?
Prove using a list/flow chart proof.
What additional information would be necessary to prove that the two triangles, XBY and ZAY, are congruent?
What congruency theorem would be applied?
Prove using a list/flow chart proof.
1 answer:
I will base the figure from the one you attached in the other problem you posted. (Also attached here).
Statements [Reasons]
1. Angle X is congruent to Angle Z [Given]
2. Line XY is congruent to Line YZ [Given]
3. Angle Y is congruent to Angle Y [Congruence is reflexive]
4. Triangle XBY is congruent to Triangle ZAY [ASA]
ANSWER: The ASA (Angle Side Angle) Congruency Theorem could be applied.
Statements [Reasons]
1. Angle X is congruent to Angle Z [Given]
2. Line XY is congruent to Line YZ [Given]
3. Angle Y is congruent to Angle Y [Congruence is reflexive]
4. Triangle XBY is congruent to Triangle ZAY [ASA]
ANSWER: The ASA (Angle Side Angle) Congruency Theorem could be applied.
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The probability that exactly 800 chips are acceptable is less than 0.000001
<h3>How to determine the probability?</h3>The given parameters are:
- Sample, n = 3000
- Percentage acceptable, p = 72%
- Acceptable chips, x = 800
The binomial probability is represented as:
So, we have:
The data values are large.
So, we use a statistical calculator to evaluate the expression
Using the calculator, we have:
P(300) < 0.000001
Hence, the probability that exactly 800 chips are acceptable is very small i.e. less than 0.000001
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