Explanation:
a. The line joining the midpoints of the parallel bases is perpendicular to both of them. It is the line of symmetry for the trapezoid. This means the angles and sides on one side of that line of symmetry are congruent to the corresponding angles and sides on the other side of the line. The diagonals are the same length.
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b. We observe that adjacent pairs of points have the same x-coordinate, so are on vertical lines, which have undefined slope. KN is a segment of the line x=1; LM is a segment of the line x=3. If the trapezoid is isosceles, the midpoints of these segments will be on a horizontal line. The midpoint of KN is at y=(3-2)/2 = 1/2. The midpoint of LM is at y=(1+0)/2 = 1/2. These points are on the same horizontal line, so the trapezoid <em>is isosceles</em>.
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c. We observed in part (b) that the parallel sides are KN and LM. The coordinate difference between K and L is (1, 3) -(3, 1) = (-2, 2). That is, segment KL is the hypotenuse of an isosceles right triangle with side lengths 2, so the lengths of KL and MN are both 2√2.
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For part (c), we used the shortcut that the hypotenuse of an isosceles right triangle is √2 times the leg length.
Answer:
Area of the sector = pi*(6^2)*(48/360)=4.8*pi= 15.079
Answer:
x = 22
Step-by-step explanation:
x = 7 + 15
x = 22
The group of values plugged into the TVM Solver of a graphing calculator that will return the amount of a 25-year loan with an APR of 16.8%, that is paid off with monthly payments of $340 is:
A. N=300; 1%-1.4; PV = PMT=-340; FV=0; P/Y=12; C/Y=12;PMT:END
What is monthly compounding?
Monthly compounding in this case the number of payments would be the number of monthly payments in 25 years, which is 300 monthly payments(i.e. 12*25=300), this means that options B and D are obviously incorrect because number of payments, N is given as 25( 25 years instead of 300 months)
What is monthly interest rate?
The monthly interest is the annual interest rate of 16.8% divided by 12, which is 1.40%, in short, option C is also wrong because I/Y(monthly interest rate) was as shown as an interest rate of 16.8% instead of 1.40%
Overall, the correct option is A, because the number of payments and interest rate were stated correctly, unlike other options that were incorrectly written
Find out about more about TVM Solver notations on:brainly.com/question/14586708
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