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Bezzdna [24]
3 years ago
12

Nathan wants to use coordinate geometry to prove that the opposite sides of a rectangle are congruent. He places parallelogram A

BCD in the coordinate plane so that A is (0, 0), B is (a, 0), C is (a, b), and D is (0, b). What formula can he use to determine the distance from point C to point D?
Mathematics
1 answer:
valentina_108 [34]3 years ago
3 0
<h3><u>Answer:</u></h3>

The formula determine the distance from C to D is:

\sqrt{(0-a)^2+(-b)^2}=\sqrt{a^2}=a

<h3><u>Step-by-step explanation:</u></h3>

The formula that can be used to determine the distance from point C to point D is:

\sqrt{(0-a)^2+(-b)^2}=\sqrt{a^2}=a

We know that distance between two points A(a,b) and B(c,d) is equal to the length of the line segment AB and is calculated by the help of the formula:

\sqrt{(c-a)^2+(b-d)^2}

So, here we have:

(a,b)=(a,b) and (c,d)=(0,b)

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Riley read five times as many pages as Jessica in the reading contest. If they read a total of 2,838 pages did Riley read ?
Kruka [31]

Answer:

14190

Step-by-step explanation:

3 0
3 years ago
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185g in the ratio 2:3
beks73 [17]

ratio 2:3

2 + 3 = 5

185 / 5 = 37

so

37 x 2 = 74

37 x 3 = 111


Answer

185 g in the ratio 2:3 = 74: 111

8 0
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A typical lap around a track in the United States has length of 440 yards. How many lap would need to be complete to run a mile?
g100num [7]

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3 0
3 years ago
According to the Stack Overflow Developers Survey of 20184, 25.8% of developers are students.The probability that a developer is
murzikaleks [220]

Answer:

0.0326 = 3.26% probability that she is a student.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

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

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Woman developer

Event B: Student

Probability that the developer is a woman:

7.4% of 25.8%(students).

76.4% of 100 - 25.8 = 74.2%(not students). So

P(A) = 0.074*0.258 + 0.764*0.742 = 0.58598

Student and woman developer.

7.4% of 25.8%(students), so

P(A \cap B) = 0.074*0.258 = 0.019092

If we encounter a woman developer, what is the probability that she is a student

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.019092}{0.58598} = 0.0326

0.0326 = 3.26% probability that she is a student.

5 0
2 years ago
Find the sum of 160,-125, and 40.
djyliett [7]

The answer is;

160 + (-125) + 40 = 75

<u>75</u>

7 0
3 years ago
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