Based on the calculations, the measures of angles 1 and 2 are 50° and 135° respectively.
<h3>What is the theorem of intersecting chord?</h3>
The theorem of intersecting chord states that when two (2) chords intersect inside a circle, the measure of the angle formed by these chords is equal to one-half (½) of the sum of the two (2) arcs it intercepts.
By applying the theorem of intersecting chord to circle U shown in the image attached below, we can infer and logically deduce that angle 1 will be given by this formula:
m∠1 = ½(53 + 47)
m∠1 = ½(100)
m∠1 = 50°.
Since angles 1 and 2 are linear pair, they are supplementary angles. Thus, we have:
m∠1 + m∠2 = 180°
m∠2 = 180 - m∠1
m∠2 = 180 - 50
m∠2 = 130°.
Read more on intersecting chords here: brainly.com/question/27251228
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Answer:
8x⩽112
Step-by-step explanation:
Width of the rectangle (in centimeters) = x
Therefore, the lenght of the rectable is 3x (in centimeters).
The perimeter of the rectangle (in centimeters) is : 2x+2*3x=2x+6x=8x.
The perimeter of the rectangle is at most 112cm, therefore, 8x⩽112.
Answer: The radius is 2 inches.
The circumference is approximately
12.56 inches.
Step-by-step explanation:
Given : The diameter of a dartboard = 4 inches
Since , radius is half of the diameter.
Therefore, radius of dartboard = (diameter) ÷ 2
= (4 inches ) ÷ 2 = 2 inches
Also, Formula for circumference : , where r is radius.
Now , Circumference of dartboard =
Hence, The radius is 2 inches.
The circumference is approximately
12.56 inches.
Answer:b
Step-by-step explanation: