Find x in the triangle, work it out .
1 answer:
Answer:
Step-by-step explanation:
In ΔABC ,
∠A + ∠B + ∠C = 180 {Angle sum property of triangle}
90 + ∠B + 64 = 180
∠B + 154 = 180
∠B = 180 - 154
∠B = 26
AD = BD
So, ∠1 = ∠3 {Angles opposite to equal sides are equal}
∠1 = ∠3 = 26
In ΔADB
∠1 + ∠2 + ∠3 = 180
26 + ∠2 + 26 = 180
∠2 + 52 = 180
∠2 = 180 - 52
∠2 = 128
15x - 7 = 128
15x = 128 + 7
15x = 135
x = 135/15
x = 9
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Method 1.
Look at the picture 1.
We have:
Picture 2.
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Method 2. (Picture 3)
ΔLOM and ΔMON are isosceles triangles. Therefore the two angles opposite the legs are equal.
The sum of the internal angles in each triangle is 180°. Thereofre in ΔLMN we have:
Answer:
Step-by-step explanation:
A recursive formula is a formula in which each term is based on the previous term.
In a geometric sequence, each term is found by multiplying the previous term by a constant.
To get from 27 to 9, then from 9 to 3, etc., we would multiply by 1/3. This makes the common ratio 1/3.
The recursive formula for a geometric sequence is
, where
represents the general term,
, represents the previous term, and r represents the common ratio.
Plugging in our values, we have
We also have to indicate what the first term, a₁, is. In this sequence, it is 21. This gives us