VK = VY+YK by the segment addition postulate. Basically adding two segments along a straight line forms a longer segment. In this case, VY and YK combine to form VK
Since VK = x and VY = 22, this means...
VK = VY+YK
x = 22+YK
x-22 = YK
YK = x-22
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Notice the arc marks where the point T is located. These markings tell us that the two angles VTY and YTK are congruent angles. Because of this, we can use the angle bisector theorem which says that the ratio of the corresponding sides are congruent.
In short, we can form this ratio
VT/VY = KT/KY
which is the ratio of the side adjacent to the angle, to the side opposite the angle
Plug in the given values and solve for x
VT/VY = KT/KY
77/22 = 87.5/(x-22)
77(x-22) = 22*87.5
77(x-22) = 1925
77x-77*22 = 1925
77x-1694 = 1925
77x = 1925+1694
77x = 3619
x = 3619/77
x = 47
Answer: 47
Erin bought 8 pounds of apples, and Katie bought 5.
8-5=3
8+5=13
Hooke's law says that the force produced by a spring is proportional to the displacement (linear amount of stretching or compressing) of that spring:
F = -kx
where k is called the force constant or spring constant of the spring. Each spring has its own force constant.
The diagram defines all of the important dimensions and terms for a coil spring. For each mass hung on it (the mass could be zero), a spring has some natural length, at which it is neither compressed (shortened) or extended (lengthened). At that point, the upward force produced by the spring is exactly balancing the gravitational force on the mass and spring (remember that the spring itself has mass).
We define the coordinate x so that it is negative when the spring is compressed, zero at the natural length and positive when the spring is extended. The minus sign in F = -kx is there by convention; we think of F as the restoring force. When the spring is compressed, a positive force is required to extend it, and when it is extended, a negative force is required to shorten it, or restore it to its natural length.
If the spring is strong or stiff, k will be large, and k will be small for a weak spring.
Hooke's law is applicable not only to coil springs like the one shown here, but also to the bending of metal and some other materials, the stretching of wires like guitar strings, the stretching of rubber bands, and the stretching and compressing of chemical bonds.
Answer:
I think C 45 blocks are the right answer.
Correct option is B, Lines 39-42 ("Normally . . . community")
The "matter of urgency," as Akira explains in lines 39–42, is that he has "an opportunity to go to America, as dentist for Seattle's Japanese community." Chie's response to Akira's marriage proposal is necessary for him to determine whether or not to take the position in Seattle.
The answers to the previous question are not well supported by the evidence in Choices A, C, and D. Choice A is wrong since Akira apologizes for disturbing Chie's peaceful evening in line 39. Lines 58–59 discuss the gravity of Akira's demand, not its immediacy, hence option C is incorrect.
Line 73 merely demonstrates that Akira's suggestion "startled" Chie, not why his request is time-sensitive, hence option D is incorrect.
Here's another question with an answer similar to this Chie and Akira:
brainly.com/question/21336173?
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