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Annette [7]
3 years ago
11

Name the major arc and find its measure. ADB: 50° AB: 50° ADB: 310° AB: 310°

Mathematics
1 answer:
alexgriva [62]3 years ago
7 0
The answer would be C. ADB:310 degrees.

A major arc includes 3 points. So that eliminates answer choices B and D.

Angle ACB is a central angle and intercepts the arc AB. The measure of the central angle and the arc it intersects have the same measure. Meaning that Arc AB equals to 50 degrees.

A circle is equal to 360 degrees. So subtract the measure of the minor arc to 360 to get the measure of the major arc.

360-50=310.

Making arc ADB equal 310 degrees
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Two groups of staff at a store are making flowers to decorate the entrance. If Group A were to do it alone, it would take them 1
Tcecarenko [31]

Answer:

\dfrac{6750}{7}

Step-by-step explanation:

Let x be the number of flowers. If Group A were to make x flowers alone, it would take them 10 hours to complete the task, then they make \dfrac{x}{10} flowers in an hour.  If Group B were to make x flowers alone, it would take them 15 hours to complete the task, then they make \dfrac{x}{15} flowers in an hour.

The groups decided to work together. They can make \dfrac{x}{10}+\dfrac{x}{15}=\dfrac{x}{6} together in an hour and it takes them \dfrac{x}{\frac{x}{6}}=6 hours. Group B took a break for 1 hour and 40 minutes (1\dfrac{2}{3} hour), then Group B works

6-1\dfrac{2}{3}=4\dfrac{1}{3} hours.

Thus,

\dfrac{x}{10}\cdot 6-\dfrac{x}{15}\cdot 4\dfrac{1}{3}=300,\\ \\\dfrac{3x}{5}-\dfrac{13x}{45}=300,\\ \\14x=300\cdot 45=13500,\\ \\x=\dfrac{13500}{14}=\dfrac{6750}{7}.

6 0
3 years ago
Distribute then combine like terms in the following: 2(2x - 3y) - 3(x - 2y - 4) 4
nikdorinn [45]

I think its:

2(2x-3y)-3(x-2y-4)4

4x-6y-3x-6y(4)

4x-6y-3x-24y

x-30y

3 0
2 years ago
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Find the greatest common factor of 270 and 360.
Vitek1552 [10]
Finding the greatest common factor ( or G C F ):
G C F is the largest number that divides evenly into all the numbers.
270 : 90 = 3
360 : 90 = 4
G C F ( 270, 360 ) = 90
4 0
3 years ago
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All of the rings of a ladder are parallel and the top rung is perpendicular to a side of the ladder. What conclusion can be reac
Ronch [10]

Perpendicular sides or lines meet at right angles. The conclusion that can be reached is that:

<em>1. all of the rings are perpendicular to that side.</em>

The statements in the question can be listed as:

  1. <em>Rings in the ladder are parallel</em>
  2. <em>Top ring is perpendicular to the side of the ladder</em>

<em />

From statements 1 and 2 above, we understand that;

<em>All other rings in the ladder are parallel to the side ring</em>

This means that the relationship between the top ring and the side of the ladder is the same as the relationship between other rings and the side of the ladder

i.e. the side rings are also perpendicular to the side of the ladder

Hence, the conclusion that can be reached is:

<em>1. all of the rings are perpendicular to that side.</em>

Read more about parallel and perpendicular sides at:

brainly.com/question/8607613

3 0
2 years ago
A major arc will have a measure that is _____
Verizon [17]

Answer:

Greater than 180

Step-by-step explanation:

4 0
3 years ago
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