The measures of the angles of a hexagon are in the extended ratio 4 : 5 : 5 : 8 : 9 : 9. What is the measure of the smallest angle in the hexagon?
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Answer:
is the measure of the smallest angle in the hexagon.
Step-by-step explanation:
As, we know that the sum of all the angles is 720 degrees.
Given: The measures of the angles of the hexagon are in the extended ratio 4 : 5 : 5 : 8 : 9 : 9.
Let x be the number used to simplify the size of each angle.
Sum of all the measure angles is 720 degrees
⇒
Combine like terms;
Divide both sides by 40 we get;
The measure of angles are:
Therefore; the measure of the smallest angle in the hexagon is,
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A bird is flying at a height of 2 meters above the sea level. The angle of depression from the bird to the fish it sees on the surface of the ocean is 15∘. Find the distance the bird must fly to be directly above the fish. Round to the nearest ten
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Answer:
= 15.556 in
Step-by-step explanation:
Since this is a 45-45-90 triangle, we can tell that;
- This is a right triangle
- This is an isosceles triangle
One of the theorems of geometry, the Isosceles Right Triangle Theorem, says that the hypotenuse is √2 times the length of a leg.
Therefore;
hypotenuse = leg × √2
If we take hypotenuse as x
Since the leg is 11;
Then; x = 11√2
x = 11/√2
x = 15.556 in
137°
117°
43°
53°
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- Angle opposite the given angle: 137°
- - Angle adjacent to the given angle on the right: 43°
- - Angle adjacent to the given angle on the left: 43°
- - Angle opposite the angle adjacent to the given angle on the left: 137°
To find the measures of the other angles in the figure, let's start by labeling the given angle as 137°.
Since the two lines are parallel and a transversal cuts them, we know that corresponding angles are congruent
Therefore, the angle opposite the given angle will also measure 137°. Now, let's label the remaining angles. Let's consider the angle formed by the transversal and the line on the right. Since it is adjacent to the angle measuring 137°, their measures will add up to 180° (forming a straight line).
Therefore, the measure of this angle is 180° - 137° = 43°. Next, let's consider the angle formed by the transversal and the line on the left. Again, it is adjacent to the angle measuring 137°, so their measures will also add up to 180°.
Therefore, the measure of this angle is also 180° - 137° = 43°. Lastly, we have the remaining angle formed by the transversal and the line at the bottom.
Since it is opposite the angle measuring 137°, its measure is also 137°.
To summarize: - Angle opposite the given angle: 137° - Angle adjacent to the given angle on the right: 43° - Angle adjacent to the given angle on the left: 43° - Angle opposite the angle adjacent to the given angle on the left: 137°
To know more about parallel lines here
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Answer:
I took the test in Edmentum and I git 5 correct
Step-by-step explanation:
I hope this help
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Answer:
-2 • (x - 1)
Step-by-step explanation:
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2/6, 2/4, 2/3
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Answer:
4.4 but that's not rational so 4 would most likely be your answer
Step-by-step explanation:
You can't make exactly 88 dollars with a certain number of 20 dollar bills. The closest you can get is 80.