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abruzzese [7]
4 years ago
10

You construct lines p, q, r, and s such that p || q, r ⊥ p, and s ⊥ q. Which of the following must be true?

Mathematics
1 answer:
jolli1 [7]4 years ago
4 0

Answer:

r ll s

Step-by-step explanation:

The easiest way to solve thi is to draw a picture .

P and Q are parallel, so draw those as two opposite seides of a square.

R and P are perpendictular so draw that as the top line of the square. Since it is perpendicular to P, R has to be perpendictular to Q.

Draw line S as the bottom line of the square and the same rules apply, so      R is parallel to S

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A right triangle has side lengths 7, 24, and 25 as shown below.
Hoochie [10]

Answer: Tan B = 0.2917 (16.26 degrees)

Sin B = 0.2800 (16.26 degrees)

Cos B = 0.9600 (16.26 degrees)

Step-by-step explanation: Please refer to the picture attached for details.

The right angled triangle LNB has been drawn with the sides labeled as 7, 24 and 25 as indicated. With angle B as the reference angle, we can now identify each side as follows;

Side 7 (opposite, facing the reference angle)

Side 24 (adjacent, between the reference angle and the right angle)

Side 25 (hypotenuse, facing the right angle).

Hence, using the trigonometric ratios,

Tan B = opposite/adjacent

Tan B = 7/24

Tan B = 0.2917 (16.26 degrees)

Sin B = opposite/hypotenuse

Sin B = 7/25

Sin B = 0.2800 (16.26 degrees)

Cos B = adjacent/hypotenuse

Cos B = 24/25

Cos B = 0.9600 (16.26 degrees)

3 0
4 years ago
Find the missing side length. Leave your answer in simplest radical form.
exis [7]

Answer:

4√3

Step-by-step explanation:

For isosoles triangles the legs are congruent

v = u

--------------------

using the pythagorean theorem

(4√6)² = v² + v²

(16 * 6) = 2v²

Divide both sides by 2

16 * 3 = v²

Take the square root of both sides

4√3 = v

6 0
3 years ago
PLEASE HELP QUICKLY BEFORE I GO OFFLINE!! (EASY QUESTION)
Karolina [17]

so after the 10 non soloists join, there would be 60 students total and 12 of them are soloists.

12 is 20% of 60

Final Answer:

20% of the choir are soloists.

Hope this helped!

Have an awesome day :)

7 0
4 years ago
Read 2 more answers
Please help!!!!!!!!!!!!!!!!!!!
Anastasy [175]

Answer:

angle KHL would be 80 degrees, because the angles next to it add up to 100 degrees, and they all have to form a supplementary angle.

4 0
3 years ago
Read 2 more answers
Find the distance between each pair of points.
antoniya [11.8K]

Answer:

Between each pair of points are coordinates K(x1,y1) F(x2, y2)

Distance KF =sqrt( (x2 - x1) ² + (y2 - y1) ²)

Step-by-step explanation:

4 0
3 years ago
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