Supplementary, and if they have a sum of 90 they are complementary.
Notice the tickmarks on the graph, those two sides are equal, and those two angles are also equal, now, the (4x-10) side, is shared by both triangles above and below.
namely the triangles above and below have a [S]ide and then an [A]ngle and then a [S]ide in common, thus they're congruent by SAS.
what does that mean? well, it means that 8x-2 = 3x - 5, and you know the rest then.
though for some reason you put a line through the -, to make it 3x+5, so, dunno what it might be, but those sides are congruent either way.
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Answer:
a(n) = 1/2(-8)^(n-1)
Step-by-step explanation:
The general term of a geometric sequence is ...
a(n) = a(1)×r^(n-1)
where a(1) is the first term, and r is the common ratio.
Here, the first term is a(1) = 1/2. The common ratio is the ratio of any two sequential terms: r = 32/-4 = -8. Then the explicit formula is ...
a(n) = 1/2(-8)^(n-1)
Answer:
7/25
Step-by-step explanation:
Probability = # of favorable outcomes / # of possible outcomes
Favorable outcomes = # of blue and yellow marbles
There are 3 yellow marbles and 4 blue marbles
There are 7 blue and yellow marbles so the favorable outcome is 7
Possible outcomes = total number of marbles
12 + 3 + 6 + 4 = 25
There are a total of 25 marbles
So possible outcomes = 25
If probability= favorable outcomes / possible outcomes then the probability of pulling a blue or yellow marble is 7/25