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Inessa05 [86]
3 years ago
7

1.

Mathematics
1 answer:
Simora [160]3 years ago
3 0

Answer:

x = 2

Step-by-step explanation:

Given 2 intersecting chords, then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

EB × AE = ED × CE

x(x + 1) = 3 × 2 = 6

x² + x = 6 ( subtract 6 from both sides )

x² + x - 6 = 0 ← in standard form

(x + 3)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2

But x > 0 , then x = 2

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<h3>What is sequence ?</h3>

Sequence is collection of  numbers with some pattern .

Given sequence

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\frac{a_1}{a_2}=\frac{-10}{5}=-2\\

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By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is                    \sum_{n=4}^{15} 5(-2)^{n-1}$$  

To learn more about Geometric progression visit : brainly.com/question/14320920

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