. Set an = n(n + 1), n = 1, 2, 3, ···, and form the sequence
S1 = a1
S2 = a1 + a2
S3 = a1 + a2 + a3
.
.
.
Sn = a1 + a2 + a3 + ··· + an
.
.
.
Find a formula for Sn that does not involve adding up the
terms a1, a2, a3, ···. HINT: Use partial fractions to write
1/[k(k + 1)] as the sum of two fractions.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

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step-by-step explanation:

a: inscribed angles

step-by-step explanation:

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answer: b

step-by-step explanation: