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2 years ago

Based on the measures

Mathematics

1 answer:

Sever21 [200]2 years ago

4 0

A circle is a curve sketched out by a point moving in a plane. The measure of the ∠ACB or θ is 50°.

<h3>What is a circle?</h3>

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

In order to solve the problem, we need to draw a line segment AB. Since A is the center of the circle AC and AC both will be the radius of the triangle ΔABC. Since two sides of the triangle are equal, the measure of ∠ABC and ∠ACB will be equal therefore, we can write,

∠ACB + ∠ABC + ∠BAC = 180°

2∠ACB + 80° = 180°

∠ACB = 50°

Hence, the measure of the ∠ACB or θ is 50°.

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3 years ago

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At a local high school, enrollment in the drama club increases by 5% each year. what is the common ratio in this situation? 0.05

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At a local high school, enrollment in the drama club increases by 5%. the common ratio will be 1.05.

<h3>What is the percentage?</h3>

A percentage is a minimum number or ratio that is measured by a fraction of 100.

At a local high school, enrollment in the drama club increases by 5%.

Let an initial number of students in high school be 'a'.

so next year increase in students will be = 5% of a

= 5/100 × a

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and total number of the students will be = ( a + 0.05a )

= ( 1.05a )

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( 1.05a )/ a = 1.05

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