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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 university knows from historical data that 25% of students in an introductory statistics class withdraw before completing the
Vikki [24]

Answer:

13.4%

Step-by-step explanation:

Use binomial probability:

P = nCr p^r q^(n-r)

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1-p).

Here, n = 16, r = 2, p = 0.25, and q = 0.75.

P = ₁₆C₂ (0.25)² (0.75)¹⁶⁻²

P = 120 (0.25)² (0.75)¹⁴

P = 0.134

There is a 13.4% probability that exactly 2 students will withdraw.

8 0
3 years ago
Find the surface area of the prism.
Vanyuwa [196]

Answer:

400cm²

Step-by-step explanation:

Total surface area of a prism includes the area of the top and bottom triangle sides of the prism, plus the area of all 3 rectangular sides.

Base & Bottom triangle area: 2 x [(8 x 15)/2] = 120cm²

Side triangle area: 17 x 7 + 8 x 7 + 15 x 7 = 280cm²

Total surface area = 280 + 120 = 400cm²

4 0
2 years ago
What is the easiest way to learn division and multipaction
Oksana_A [137]

The easier way is online games.

6 0
2 years ago
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Ryobi Limited sold a set of saws to Ace Hardware. The list price was $3,800. Ryobi offered a chain discount of 8/3/1. What's the
laila [671]

Answer:  Option 'B' is correct.

Our net price will be $3357.21.

Explanation:

Since we have given that

The list price of set of saws = $3800

There are 3 successive discounts :

8%,3%,1%

So, if we apply first for 8% discount our new price becomes,

3800\times \frac{100-8}{100}=3800\times 0.92=\$3496

Now, if we apply 3% on our deducted price , our new price becomes ,

3496\times \frac{100-3}{100}=3496\times 0.97=\$3391.12

Now, we'll apply for 1% on our new deducted price , our net price becomes,

3391.12\times \frac{100-1}{100}=3391.12\times 0.99=\$3357.21

Hence, our net price will be $3357.21.

Therefore, Option 'B' is correct.


6 0
2 years ago
7 x 3/4 simplisti version
Sidana [21]

Answer:

7 x 3/4 = 7/1 x 3/4 = 7 x 3 = 21 = 4 x 1 = 4 = 21/4 as a improper fraction and 5 1/4 as a mixed number.

Step-by-step explanation:

                       HOPE THIS HELPS YOU!!!!!!! :) :) :) :) :)

                         

                          SORRY IF IT IS WRONG. :) :) :) :) :)

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2 years ago
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