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Answer:
E
Step-by-step explanation:
A. The ⊥ symbol means "is perpendicular to". The two lines l1 and l2 are parallel, not perpendicular.
B. Angles g and f are vertical angles. They are congruent. If both are 45°, then they are complementary, but we cannot assume that is the case. They are shown as obtuse angles.
C. Angles e and h are vertical angles. They are congruent. If both are 45°, then they are complementary, but we cannot assume that is the case. They are shown as acute angles, but with no particular angle measure.
D. Angle d is shown as an acute angle. In general, we cannot assume its measure based on its appearance in the diagram.
E. Angles d and g are shown as, respectively, an acute angle and an obtuse angle. Where a transversal crosses parallel lines, all acute angles are supplementary to all obtuse angles. Hence the sum of angles d and g will be 180 degrees. This statement is true.
F. Angles c and f are congruent angles, shown as obtuse. Their sum will be 270° if and only if their measures are each 135°. There is no indication in the diagram that the angles have any particular measure, so we cannot assume their sum is 270°.
The answer is north, the Polaris is located north from the celestial equator.
If you go as far north as the North Pole, you'll see Polaris directly overhead. As you travel south, Polaris drops closer to the northern horizon. If you get as far as the equator, Polaris sinks to the horizon. South of the equator, Polaris drops out of the sky.
Yes; The construction demonstrates how to bisect an angle correctly using technology because Circles D & E have the same radius
<h3>How to properly bisect an angle?</h3>
In construction of angles and lines, bisection means dividing either a given angle or line segment into two equal parts. This means after the construction, the two parts must have equal measure.
The steps to bisect a line segment are as follows;
1. Draw the required length of the line segment AB.
2. With point A and radius of the compass greater than half of AB, describe arcs above and below the segment.
3. With the same radius as in step 2 and point B, describe two arcs above and below the segment. These would intersect that of step 2 at C and D.
4. Join the points of intersection of the arcs with a straight line CD.
Now, in this given question with the circle, we can see that line AG is the line that bisects the angle EAD.
Now, we see that circles C and D have the same radius and as such the construction demonstrated is correct for that very reason.
Read more about bisecting an angle at; brainly.com/question/12028523
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Answer:
Required number of days = 6
Step-by-step explanation:
Let n be the required number of days
First warehouse
Number of potatoes which are initially in the warehouse = 210 tons
Number of potatoes delivered daily to the warehouse = 90 tons
⇒ Total quantity of potatoes in first warehouse = 210 + 90n
Second warehouse
Number of potatoes which are initially in the warehouse = 180 tons
Number of potatoes delivered daily to the warehouse = 120 tons
⇒ Total quantity of potatoes in second warehouse = 180 + 120n
Now, we need to find number of days when the first warehouse have 1.2 times less potatoes than the second warehouse.
⇒ 180 + 120n = 1.2 (210 + 90n)
⇒ 180 + 120n = 252 + 108n
⇒ 120n - 108n = 252 - 180
⇒ 12n = 72
⇒ n = 6
Hence, Required number of days = 6