Answer:pretty sure its 10 degrees
Step-by-step explanation:
all tris add up to 180, and this one is a right angle so you know you have 90 deg, 80 degrees. 90+80=170; 180-170=10
Answer:
Step-by-step explanation:
The general term of a geometric sequence is ...
an = a1·r^(n-1)
You have the 2nd and 4th terms, so ...
a2 = a1·r^(2-1) = a1·r
a4 = a1·r^(4-1) = a1·r^3
We can find r from the ratio ...
a4/a2 = (a1·r^3)/(a1·r) = r^2 = 8/18 = 4/9
Then r is ...
r = √(4/9) = 2/3 . . . . the common ratio
The first term is ...
a2 = 18 = a1·(2/3)
a1 = (3/2)·18 = 27
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The sum of the first 6 terms is ...
Sn = a1·(r^n -1)/(r -1)
S6 = 27·((2/3)^6 -1)/(2/3 -1)
S6 = 27·(64/729-1)/(2/3-1) = (27)(665)/243 = 73 8/9
The sum of the first 6 terms is 73 8/9.
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<em>Check on the sum</em>
The first 6 terms are ...
27, 18, 12, 8, 5 1/3, 3 5/9
Their sum is 73 8/9, as above.
Answer: Pink choice: y= -6x -2
Step-by-step explanation:
In order to be parallel, the slope must be the same. You find the slope as the number or fraction connected to x. <em>("co-efficient" of x in math talk)</em>
In the given equation, that is -6. (So that knocks out the first two choices)
The other thing to look at is the y-value of the given coordinate,(-1,4)
<em>(The y-value is the second number in the coordinate (x.y) is the pattern)</em>
and compare it to the the last number in the equations in the choices and Here the Yellow choice has y= -6x + 4 so this line can't pass through the coordinate given, because +4 in this equation is where the line crosses the y-axis. ("y-intercept" in math talk) So yellow choice is out!
The attachment shows what the graphs of the choices look like.
The black line is the correct answer. The given coordinate (-1,4) is the labeled red spot. The blue line is the given equation. (You can see where it "intercepts the y-axis on the +3) And the green line also has the -6 slope, but misses the point and intercepts the y-axis at 4.)
I hope the diagram and explanation helps you understand better. It can be confusing.
89 is prime 16 is composite 17 is prime 25 is composite