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2 years ago

Point O is the centre of the circle. What is the value of x? (Assume that lines that appear to be tangent are tangent)

Mathematics

1 answer:

miv72 [106K]2 years ago

5 0

Sum if the inner angles of the quadrilateral:
150° + 90° + 90° + x = 360°
330° + x = 360°
x = 360° - 330°
x = 30 °

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ozzi

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7 0

2 years ago

Need some help with the answer to the question

kicyunya [14]

Answer:

(- 4, 27 )

Step-by-step explanation:

Equate the right sides of both equations, that is

x² - 2x + 3 = - 2x + 19 ← subtract - 2x + 19 from both sides

x² - 16 = 0 ← in standard form

(x - 4)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 4 = 0 ⇒ x = - 4

Substitute these values into f(x) = - 2x + 19

f(4) = - 2(4) + 19 = - 8 + 19 = 11 ⇒ (4, 11 )

f(- 4) = - 2(- 4) + 19 = 8 + 19 = 27 ⇒ (- 4, 27 )

8 0

2 years ago

Which of the following is an example of the distributive property?

lukranit [14]

Answer:

option 3: 3(10+5) = 30+15

Step-by-step explanation:

7 0

3 years ago

2. An articulated truck is loaded with cylindrical containers filled with oil. The height of each container is 80cm and the diam

RoseWind [281]

The volume of each container is: 25,133 $cm^{3}$

Given:

height of container (h) = 80 cm

diameter of container (d) = 20 cm

radius = half of diameter = $\frac{1}{2}$ of $20 = 10 cm$

Recall:

Volume of a cylinder = $\pi r^{2} h$

<em>Substitute the values into the formula:</em>

$Volume = \pi \times 10^{2} \times 80 = 25132.74123$

Therefore, volume of each cylinder is approximately 25,133 $cm^{3}$

Learn more about volume of cylinder here:

brainly.com/question/971817

8 0

2 years ago

What is the area of a circle with a diameter of 16?

Oksana_A [137]

If the diameter is 16, then the radius is 8.

A=(pi) r^2

8*8=64

64*3.14159265359=201.06

201.06 is your answer.

-TheOneandOnly003

4 0

3 years ago