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Dennis_Churaev [7]
3 years ago
12

What else would need to be congruent to show that A ABC= AXYZ by ASA?

Mathematics
1 answer:
fredd [130]3 years ago
7 0

Answer:

D. AC ≅ XZ

Step-by-step explanation:

To prove that two triangles are congruent by the Angle-Side-Angle theorem, both triangles must have two corresponding angles that are congruent to each other in each triangle, and also a corresponding included side in each triangle that are congruent.

Thus, we are given that,

<X ≅ <A and <Z ≅ <C, therefore, what is needed is a corresponding included angle in each triangle that are congruent to each other, which are,

AC and XZ

Therefore, what is needed is:

AC ≅ XZ

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It is estimated that approximately 8.23% Americans are afflicted with diabetes. Suppose that a certain diagnostic evaluation for
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The probabilities in this problem are given as follows:

a) False positive: 0.0321 = 3.21%.

b) Diagnosed as not having diabetes: 0.8872 = 88.72%.

c) Actually has diabetes, if diagnosed as not having: 0.0019 = 0.19%.

<h3>What is Conditional Probability?</h3>

Conditional probability is the probability of one event happening, considering a previous event. The formula is given as follows:

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which the parameters are described as follows:

  • P(B|A) is the probability of event B happening, given that event A happened.
  • P(A \cap B) is the probability of both events A and B happening.
  • P(A) is the probability of event A happening.

For item a, we have that:

  • 100 - 8.23 = 91.77% of the people do not have diabetes.
  • Of those, 3.5% are diagnosed with diabetes.

Hence the probability of a false positive is given as follows:

p = 0.9177 x 0.035 = 0.0321 = 3.21%.

For item b, the percentage of people who is not diagnosed as having diabetes is divided as:

  • 96.5% of 91.77% (do not have diabetes).
  • 2% of 8.23% (have diabetes).

Hence the probability is:

P(A) = 0.965 x 0.9177 + 0.02 x 0.0823 = 0.8872 = 88.72%.

For item c, we find the conditional probability, as follows:

P(A \cap B) = 0.02 \times 0.0823 = 0.001646

Then:

P(B|A) = 0.001646/0.8872 = 0.0019 = 0.19%.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

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1 year ago
the bases of a trapezoid are 11 meters and 14 meters .The heigth measures 8 meters. What is the area of the trapezoid. SHOW YOUR
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11x8=88
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1.5x8=12
12/2=6

88+6+6=100
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Answer:

1.625

Step-by-step explanation:

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