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Sliva [168]
2 years ago
11

Ben uses a compass and a straightedge to bisect angle PQR, as shown below: The figure shows two rays QP and QR with a common end

point Q. An arc drawn from Q cuts the ray QP at A and the ray QR at B. Two small arcs intersect between the lines QP and QR. The point of intersection of the arcs is labeled S. The points Q, S, and T are joined with a line. Which statement best explains why Ben uses the same width to draw arcs from A and B that intersect at S? BQ = BS when ∠AQS ≅ ∠BQS. AQ = AS when ∠AQS ≅ ∠BQS. ∠AQS ≅ ∠BQS when AS = BS and AQ = BQ. ∠AQS ≅ ∠BQS when AS = BQ and BS = AQ.

Mathematics
2 answers:
maria [59]2 years ago
6 0

Answer:

The correct option is;

∠AQS ≅ ∠BQS when AS = BS

Step-by-step explanation:

Given that AQ is equal to BQ. When AS is drawn congruent to BS, we have;

QS is congruent to SQ by reflective property

Therefore;

The three sides of triangle QAS are congruent to the three sides of triangle QBS, from which we have;

∠AQS and ∠BQS are corresponding angles, therefore;

∠AQS ≅∠BQS because corresponding angles of congruent triangles are also congruent.

eimsori [14]2 years ago
4 0

Answer:

∠AQS ≅ ∠BQS when AS = BS and AQ = BQ

Step-by-step explanation:

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A meteorologist is studying the monthly rainfall in a section of the Brazilian rainforest. She recorded the monthly rainfall, in
mario62 [17]

Answer:

Mean = 7

Median = 7.65

Mode = 4.4

Range = 9.9

Step-by-step explanation:

The question is incomplete as it doesn't state what to find. Lets complete the question first. The complete question states that:

Calculate the following for the data set

Mean

Median

Mode

Range

<h3>A) Mean</h3>

Mean = sum of values/ total number of values

Mean = 84/12

Mean = 7

<h3>B) Median</h3>

Arrange the data in ascending order

1.8, 2.5, 2.6, 4.4, 4.4, 7.3, 8.0, 9.5, 10.3, 10.4, 11.1, 11.7

Median = Average of middle values

Median = (7.3+8.0) / 2

Median = 7.65

<h3>C) Mode</h3>

Mode = number which appears most = 4.4

<h3>D) Range</h3>

Range = Max value - Min value

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Range = 9.9

7 0
2 years ago
By rewriting the formula for the Multiplication​ Rule, you can write a formula for finding conditional probabilities. The condit
ss7ja [257]

Answer:

89.01% probability that a flight arrives on time given that it departed on time.

Step-by-step explanation:

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: Departing on time

Event B: Arriving on time.

The probability that a flight departs and arrives on time is 0.81.

This means that P(A \cap B) = 0.81

The probability that an airplane flight departs on time is 0.91.

This means that P(A) = 0.91

Find the probability that a flight arrives on time given that it departed on time.

P(B|A) = \frac{0.81}{0.91} = 0.8901

89.01% probability that a flight arrives on time given that it departed on time.

5 0
2 years ago
An object is moving at a speed of 230 feet per week. Express this speed in inches per minute. Round your answer to the nearest h
Kruka [31]

Answer:

0.02 inches per minute

Step-by-step explanation:

1 Week = 10080 minutes

Formaul: multiply the time value by 10080  to find the minutes in a week or do it the long way 60x24x7 = 10080

230/10080 = 0.02281746031 or 0.02 rounded to nearest hundert.

5 0
2 years ago
Jennifer has a bag of chips that contains 2 red chips and 1 black chip. If she also has a fair die, what is the probability that
fredd [130]
<span> the probability that she rolls an odd number AND and pulls a red chip

so it is = Prob(odd no) * Prob(red chip)

Prob(odd no) for a fair die = 1/2

Prob(red chip) = red chip / total chip = 2/(2+1) = 2/3

so the ans is 1/2 * 2/3 = 1/3

</span>
7 0
2 years ago
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Fofino [41]
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