First, we are given that the inscribed angle of arc CB which is angle D is equal to 65°. This is half of the measure of the arc which is equal to the measure of the central angle, ∠O.
m∠O = 2 (65°) = 130°
Also, the measure of the angles where the tangent lines and the radii meet are equal to 90°. The sum of the measures of the angle of a quadrilateral ACOB is equal to 360°.
m∠O + m∠C + m∠B + m∠A = 360°
Substituting the known values,
130° + 90° + 90° + m∠A = 360°
The value of m∠A is equal to 50°.
<em>Answer: 50°</em>
Answer: The store receive 3 ounces of peanuts. <em>(Please tell me if you get the answer correct. ^^)</em>
Answer:
3.88 nm
Step-by-step explanation:
The angle at Port Latta between the actual direction of travel and the destination at Lookout Point is 90° -75° = 15°. The sine function relates the angle, the side opposite, and the hypotenuse of a right triangle, so you have ...
sin(15°) = (distance to Lookout Point)/(15 nm)
Solving for the desired distance, we have ...
distance to Lookout Point = (15 nm)sin(15°) = 3.88 nm
The yacht is 3.88 nautical miles from Lookout Point.
Xy is the GCF of these expressions
The expression that represents the product of negative three-fourths x and –8x is 6x^2
<h3>How to determine the equivalent expression?</h3>
The statement is given as:
the product of negative three-fourths x and –8x
Rewrite properly as:
-3x/4 * -8x
Divide 4 and 8 by 4
-3x * -2x
Multiply -3 and -2
6x * x
Multiply x and x
6x^2
Hence, the expression that represents the product of negative three-fourths x and –8x is 6x^2
Read more about expressions at:
brainly.com/question/723406
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