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Katarina [22]
2 years ago
6

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°.

Learn more about Circle:

brainly.com/question/11833983

#SPJ1

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14. 2384 in²

15. 291.8 in²

Step-by-step explanation:

14. The total surface area consists of the area of two equal triangles and three rectangles.

The area of each triangle is \frac{1}{2} bh, which is \frac{1}{2}(24)(14)=168 in². The area of both triangles combined is 336 in².

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3 years ago
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14x

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<em>You have two like terms (numbers with the same letter) so you are going to put those aside for a moment.</em>

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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

                                                                   = 0.05a

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

                                                                   = ( 1.05a )

So common ratio of the geometric square formed

( 1.05a )/ a =  1.05

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brainly.com/question/14816043

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