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icang [17]
1 year ago
12

Circle C is shown. 2 secants intersect at a point outside of the circle to form angle 1. The first arc formed is 36 degrees, and

the second arc formed is 106 degrees.
In the diagram of circle C, what is the measure of ∠1?
17°
35°
70°
71°
Mathematics
1 answer:
forsale [732]1 year ago
5 0

The measure of the ∠1 is 35 degrees.

<h3>How to determine the angle </h3>

it is important to know that the measure of an angle with its vertex outside the circle is half the difference of the intercepted arcs.

Also, the angle subtended by the arc at the center of the circle is the angle of the arc

From the diagram, we have

m ∠ of external angle = half of the difference of arc angles

The arc angles are

  • 106°
  • 36°

m ∠ of external angle = ∠ 1

Let's substitute the angles

∠1 = \frac{106 - 36}{2}

∠ 1 = \frac{70}{2}

∠ 1 = 35°

We can see that the external angle 1 measures 35 degrees.

Note that the complete image is added.

Thus, the measure of the ∠1 is 35 degrees.

Learn more about a circle here:

brainly.com/question/15673093

#SPJ1

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Find x and the measure of each side. Round to two decimal places, if necessary.
natta225 [31]

The values of the triangles are as follows:

  • x = 7 units
  • GH = 21 units
  • HI = 21 units
  • GI = 12 units

<h3>How to find angles and side of a triangle?</h3>

The triangle is an isosceles triangle because two sides and angles are equal. Therefore,

4x - 7 = 2x + 7

4x - 2x = 7 + 7

2x = 14

x = 14 / 2

x = 7 units

GH = 4(7) - 7 = 28 - 7 = 21

HI = 2(7) + 7 = 14 + 7 = 21

GI = 7 + 5 = 12

learn more on triangle here: brainly.com/question/21279088

#SPJ1

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7 red, 8 yellow, 9 white......total = 24 roses

probability first pick is white : 9/24 
probability second pick is yellow : 8/23

probability of both : 9/24 * 8/23 = 72/552 reduces  3/23 <====
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3 years ago
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What quadrant is (6,-8) in
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Answer:

quadrant 2

Step-by-step explanation:

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The area of a rectangular window is 6525cm2. If the length of the window is 87cm, what is its width?
nataly862011 [7]

Answer:

width= 75 cm

Step-by-step explanation:

We need to recall the formula to calculate the area of a rectangle, since we are dealing with a rectangular window:

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therefore, since they give us the window's area: 6525 cm^2, and also the window's length: 87 cm, we just need to replace those values in the area formula and solve for the unknown "width". We do such by dividing both sides of the equation by 87 cm in order to isolate the unknown on one side of the equal sign;

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