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2 years ago

? QUESTION

Mathematics

1 answer:

dimulka [17.4K]2 years ago

5 0

Answer:

yes

Step-by-step explanation:

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In the diagram of circle O, what is the measure of abc? 34° 45° 68° 73°

Lady_Fox [76]

Answer:

A. $m\angle ABC=34^{\circ}$

Step-by-step explanation:

We have been given a diagram. We are asked to find the measure of angle ABC.

First of all, we will find measure of major arc AC by subtracting 146 from 360 degrees.

$\text{Measure of arc AC}=360^{\circ}-146^{\circ}$

$\text{Measure of arc AC}=214^{\circ}$

Now, we will use tangent-tangent angle theorem to solve for ABC.

Tangent-Tangent angle theorem states that angle formed by two tangents outside a circle is half the difference of intercepted arcs.

$m\angle ABC=\frac{214^{\circ}-146^{\circ}}{2}$

$m\angle ABC=\frac{68^{\circ}}{2}$

$m\angle ABC=34^{\circ}$

Therefore, the measure of angle ABC is 34 degrees and option A is the correct choice.

5 0

2 years ago

Read 2 more answers

The denominator of a certain fraction was 147 greater than its numerator. what was the denominator of this fraction, if after th

Dafna1 [17]

After reducing the fraction it becomes equal to 5/12. Let the common element which was cancelled out be x. So we can say the original fraction was $\frac{5x}{12x}$ .

The denominator of the fraction is 147 greater than the numerator. We can write it as:

12x = 147 + 5x

12x - 5x = 147

7x = 147

x = 21

So, the numerator of the fraction was 5 x 21 = 105
Denominator of the fraction was 12 x 21 = 252

So our original fraction was $\frac{105}{252}$

6 0

2 years ago

A room with a length of 270 cm and width 150 cm is to be covered with square tiles .What is the largest size of tiles to be used

Damm [24]

Find the greatest common factor of both numbers:

Factors for 150:

150: 1, 2, 5 , 6, 10, 15, 25, 30, 50, 75, 150

Factors for 270:

1, 2, 3, 5, 6 , 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

The largest number they both have in common is 30, so the largest tile could be 30 cm^2.

5 0

2 years ago

Find the area of the trapezoidal cross-section of the irrigation canal shown below. Your answer will be in terms of h, w, and θ.

Setler [38]

The answer is ：h^2/tanθ+wh

5 0

2 years ago

A lake is 200 ft wide.Two boats start to move towards one another from opposite shores.In one minute the first boat goes 40 ft a

ddd [48]

Answer:

After one second, 130 ft

After two second , 60 ft

Step-by-step explanation:

Both boats are moving towards each other,

Speed of first boat = 40 ft/min.

Speed of second boat = 30 ft/min.

So, In one Second they must have covered a total distance of 40 + 30 ft

= 70 ft.

Total width of the lake = 200 ft

So, Distance remained between them after one second = 200 - 70 = 130 ft.

After two seconds , First boat will move my 80 ft and second one will move by 60 ft

So, distance between them will decrease by 140 ft.

Distance between the boats after two seconds = 60 ft.

7 0

2 years ago