Answer:
81
Step-by-step explanation:
The formula for calculating the sum of geometric series varies depending on the value of its common ratio.
Given the common ratio to be 2/3 which is less than 1, the formula to be used is given as;
Sn = a(1-rⁿ)/1-r
n is the number of terms of the series
a is the first term
r is the common ratio.
Sn is the sum of the series
Given n = 3, r = 2/3 and Sn = 171,
a= ?
Substituting this values in the formula we have;
171 = a{1-(2/3)³}/1-2/3
171 = a{1-8/27}/(1/3)
171 = a(19/27)/(1/3)
171 = 19a/27 × 3/1
171 = 57a/27
57a = 171×27
57a = 4,617
a = 4,617/57
a = 81
The first term of the series is 81
Answer:
Well this is Same side interior angles which would mean that its supplementary or 180.
So we can just,
4x-2+17x+14=180
Combine like terms
21x+12=180
Perform inverse
21x=168
Divide/isolate
x=8
So the value of (x) is 8
Step-by-step explanation:
Well here’s a little tip that might help
So in order to identify interior/exterior angles you have to find the location. The two lines are whats separates the inner and the outter.
The Outter are outside the two parralel lines, their not in between. There are 4 exterior angles.
The inner are the 4 angles between the two parralel lines. There are 4 interior angles.
So there are 5 different ways you would usually hear them.
Alternate interior angle
Alternate exterior angle
Same side exterior (or better known as Converese of the same side exterior)
Same side interior (better known as the converse of the same side interior)
Corresponding
Alternate is basically different sides, but they gotta be only one angle choice, exterior or interior, if correct it makes this slash or back slash if you connect the points.
Same side is basically same side and they have to be the right type (exterior/ interior)
Corresponing has to be the same side also but they have to have.One interior and one exterior.
Corresponing angles are congruent (equal)
Alternate exterior/interior are congruent (equal)
Same side exterior/interior Are supplemenaty (they equal 180)
Answer:
122
Step-by-step explanation:
366 divided by 3
Answer:
LOL
Step-by-step explanation:
In order to find the slope, you have to use the formula : Δy/Δx.
Here : Δy = -1 and Δx = 2.
Therefore, the slope would be : B. -1/2.
Hope this helps !
Photon
