First, let's list the lengths of the sides in descending order.
Lengths of sides of quadrilateral ABCD: 20, 18, 14, a
Lengths of sides of quadrilateral EFGH: b, c, 6, 5
From the listings above, we see that he sides measuring 14 and 6 are corresponding.
We are looking for c which corresponds to 18.
14 is to 6 is as 18 is to c
14/6 = 18/c
7/3 = 18/c
7c = 3 * 18
7c = 54
c = 54/7 = 7 5/7
Answer: 7 5/7 feet
Answers:
- d) vertical
- c) alternate interior
- f) supplementary
- e) alternate exterior
- g) corresponding
- e) alternate exterior
- f) supplementary
- c) alternate interior
- e) alternate exterior
Letters 'a', b, and h are never used.
Letters c and f show up twice each; e shows up 3 times.
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Explanations:
- Angles 1 and 2 are vertical angles because they are opposite one another in this X configuration. Vertical angles are always congruent.
- These angles are alternate interior angles because they are inside the parallel lines (hence the "interior") and they are on alternating sides of the transversal cut.
- The two angles shown here form a straight line, so that's what makes them supplementary. Supplementary angles add to 180 degrees.
- Angle 4 and angle 5 are on alternating sides of the transversal, but this time they are outside the parallel lines. So that's why we go for alternate exterior this time.
- Angles 5 and 6 are in the same southwest corner of each four-corner configuration, which makes them corresponding angles.
- It's the same idea as problem 4
- Same idea as problem 3.
- Same idea as problem 2.
- Same idea as problems 4 and 6.
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None of the angle pairs mentioned are consecutive interior angles. These types of angles are on the same side of the transversal, and inside the parallel lines. So we never use option 'a'. We cross off option h as well for pretty much identical reasoning. Options 'a' and h are the same thing, just slightly different wording.
We cross off option b as well because none of the angles add up to 90 degrees.
Answer:
Answer attached
Step-by-step explanation:
steps and answer in attachment
Answer:
a. When vector is added to vector , the resultant is vector such that its magnitude and direction is proportional to the resultant magnitude and direction of the component vectors.
b. ∅ = 
(Rx/Ry)
Step-by-step explanation:
Vectors are used to express physical quantities with magnitude and direction. Vectors can be added by the parallelogram method or the triangular method of addition. the magnitude and direction of the resultant vector is usually proportional to the magnitude and direction of the component vectors.
The direction of the angle is found as
tan∅ = Rx/Ry
∅ = (Rx/Ry)
