Answer:
The answer is below
Step-by-step explanation:
The planes are shown in the image below.
From the image, points D and E are on plane Y, while point F is on plane X.
A) The line that can be drawn through points C and D is contained in plane Y.
This statement is wrong because point C is not in plane Y
B) The line that can be drawn through points D and E is contained in plane Y.
Correct. Since both points D and E are on plane Y, hence The line that can be drawn through points D and E is contained in plane Y.
C) The only point that can lie in plane X is point F.
This statement is correct because from the image only point F is on plane X.
D) The only points that can lie in plane Y are points D and E.
This statement is correct because from the image only point D and E is on plane Y.
Explicit formulas for arithmetic sequences are derived from terms in arithmetic sequences. It helps to find each term in arithmetic progression easily. The arithmetic progression is a1, a2, a3, ..., an. where the first term is denoted as 'a', we have a = a1, and the tolerance is denoted as 'd'. The tolerance formula is d = a2 - a1 = a3 - a2 = an - an - 1. The nth term of the arithmetic progression represents the explicit formula for the arithmetic progression.
Explicit formula: an= a + (n − 1) d
Explicit formula: Sn = n/2 [2a+(n-1) d]
Where,
nth term in the arithmetic sequence
a = first term in the arithmetic sequence
d = difference (each term and its term difference) previous term, i.e., d = an-an-1
More problems related to a similar concept are solved in the link below.
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The angle adjacent to angle 6 is the one we need to find first. To do this, add the measures of the intercepted arcs and divide by 2. 60 + 50 = 110, and half of that is 55. That means that both adjacent angles to the angle 6 are 55 (vertical angles are congruent). The measure of all the angles added together is 360 and angle 6 is vertical to the other "sideways" angle, so they are congruent as well. 360 - 55 - 55 = 250. Split that up between angle 6 and its vertical angle to get that each of those measure 125. Angle 6 measures 125, choice b from above.
0.85 written as a fraction in simplest form is 17/20
