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algol13
3 years ago
7

If |lm and m<6 = 4x - 15 and m<7 = x+30, then m<6 = 35 45 39 15

Mathematics
1 answer:
pentagon [3]3 years ago
4 0

Answer:

∠ 6 = 45°

Step-by-step explanation:

∠ 6 and ∠ 7 are alternate angles and are congruent, thus

4x - 15 = x + 30 ( subtract x from both sides )

3x - 15 = 30 ( add 15 to both sides )

3x = 45 ( divide both sides by 3 )

x = 15

Thus

∠ 6 = 4x - 15 = 4(15) - 15 = 60 - 15 = 45°

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7 0
4 years ago
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larisa86 [58]

Answer:

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Step-by-step explanation:

The sum of n terms of geometric sequence can be calculated using formula

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Substitute into the formula:

S_4=\dfrac{a_1(1-2.2^4)}{1-2.2}\\ \\86,830=\dfrac{a_1(1-23.4256)}{-1.2}\\ \\-104,196=a_1(-22.4256)\\ \\22.4256a_1=104,196\\ \\a_1=\dfrac{104,196}{22.4256}\approx 4,646.30

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