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dusya [7]
3 years ago
8

If j and k are parallel lines, A and B are points on j, and C and D are points on k, how many planes contain points A, B, C, and

D?
A. Exactly one
B. None
C. We can't determine from the given information.
D. Infinitely many

Mathematics
1 answer:
natita [175]3 years ago
8 0

A and B are points on j.

C and D are points on k.

Join AD and BC.

ABCD is a quadrilateral.

Clearly, the quadrilateral ABCD is the only plane that contains the points A, B, C and D.

Hence, correct answer is option A. Exactly one.

You might be interested in
In circle o, the length of radius OL is 6 cm and the length
AlekseyPX

Answer:

14.2cm

Step-by-step explanation:

The diagram representing the circle and its attributes has been attached to this response.

<em>As shown in the diagram;</em>

The circle is centered at o,

The length of radius OL = 6cm

The length of the arc LM = 6.3cm

The angle MON = 75°

The angle LOM = θ

<em>Remember that;</em>

The length, L, of an arc is given by;

L = (θ / 360) x (2πr)         -------------(i)

Where;

θ is the angle subtended by the arc

r = radius of the circle.

Using the formula in equation (i), let's calculate the angle θ subtended by arc LM as follows;

L = (θ / 360) x (2πr)  

Where;

L = length of arc LM = 6.3cm

r = radius of the circle = length of radius OL = 6cm

<em>Substitute these values into the equation to get;</em>

6.3 = (θ / 360) x (2 x π x 6)

6.3 = (θ / 360) x (12 x π)

6.3 = (θ / 30) x (π)              [Take π = 22/7]

6.3 = (θ / 30) x (22 / 7)

θ = \frac{6.3*30*7}{22}

θ = 60.14°

Therefore, the angle subtended by arc LM is 60.14°

Now, from the diagram,

The angle subtended by arc LMN is;

θ + 75° = 60.14° + 75° =  135.14°

Let's now calculate the length of arc LMN using the same equation (i)

L = (θ / 360) x (2πr)  

Where;

L = length of arc LMN

θ = angle subtended by LMN = 135.14°

r = radius of the circle = length of radius OL = 6cm

<em>Substitute these values into the equation;</em>

L = (135.14° / 360°) x (2 x π x 6)             [Take π = 22/7]

L = 14.15cm

Therefore, the length of arc LMN is 14.2cm to the nearest tenth.

6 0
3 years ago
The hands of a clock form the same angle at various times of the day. For example, the angle formed at 2:00 is congruent to the
Oliga [24]
It is 2 inches long this is because of the length of the hands .
8 0
3 years ago
HELP MEEEEEEEEEEEEEEEEEEEEEEE 20 POINTS AND BRAINLIEST PLZ HALPPPP
yawa3891 [41]

Answer:

1. Radius 18in Diameter 38in Circumference 36in

2. Radius 9in Diameter 34in Circumference 18in

3. Radius 6in Diameter 36in Circumference 12in

4. Radius 7in Diameter 26in Circumference 14in

5. Radius 5in Diameter 8in Circumference 10in

6. Radius 11in Diameter 33in Circumference 22in

7. Radius 6in Diameter 20in Circumference 12in

8. Radius 7in Diameter 16in Circumference 14in

9. Radius 2in Diameter 12in Circumference 4in

Step-by-step explanation:

Tip: When finding the circumference of a circle, just multiply the radius by 2!

Hope I get my brainliest even tho I couldn't get all of it!

4 0
3 years ago
TJ's Cat Food plans to use tins that are the shape of cylinders. Find the height of the tin, if its bottom diameter is 12 cm and
Fynjy0 [20]

Answer:

6.69 cm

Step-by-step explanation:

Given data

Diameter= 12cm

Radius= 6cm

Volume= 757.36cm^3

The expression for the volume of a cylinder is

V= πr^2h

Substitute

757.36= 3.142*6^2*h

757.36=113.112h

h= 757.36/113.112

h= 6.69 cm

7 0
3 years ago
Answer this pls fast ASAP
Katarina [22]

Answer:

14.13 units^2.

Step-by-step explanation:

The area of a circle is found by doing pi * r^2. In this case, the diameter is 6. 6 / 2 = 3. So, r = 3.

pi * 3^2 = pi * 9 = 9pi.

This is a semicircle, so the area will be half of the whole circle.

9pi / 2 = 4.5 * pi = 4.5 * 3.14 = 14.13 units^2.

Hope this helps!

4 0
3 years ago
Read 2 more answers
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