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Vladimir79 [104]
2 years ago
7

Given: m∠A = m∠C = 90° AB ║ DC Prove: ∆ABD ≅ ∆CDB 40 points

Mathematics
1 answer:
leonid [27]2 years ago
7 0

Answer:

ABD = CDB

AB is parallel to DC

Step-by-step explanation:

angle a and c are right angles so they are equal and angle b and d are equal because they have a line that touch both letters

AB and DC are parellel because they are the same looking lines just on oppisite sides

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Find the sum of the first four terms of the geometric series 100 + 50 + 25 + ...
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Which of the following represents an explicit formula for the sequence:<br> 8.2, 10, 11.8, 13.6
NNADVOKAT [17]

Answer:

Tn = 6.4 + 1.8n

Step-by-step explanation:

Given

Sequence: 8.2, 10, 11.8, 13.6

Required

The formula of the sequence.

First, the type of the sequence needs to be determined (arithmetic or geometric)

It is an arithmetic sequence because each successive sequence is separated by a common difference..

The common difference is represented by d and it's calculated as follows.

d = 10 - 8.2 or 11.8 - 10 or 13.6 - 11.8

Each of the above gives

d = 1.8

Now, that we have the common difference; the next is to determine the formula using the Arithmetic Progression formula.

Tn = T1 + (n - 1)d

Where T1 is the first term of the progression; T1 = 8.2

By substituting 8.2 for T1 and 1.8 for d.

This gives

Tn = 8.2 + (n - 1) * 1.8

Open bracket

Tn = 8.2 + 1.8 * n - 1 * 1.8

Tn = 8.2 + 1.8n - 1.8

Collect like terms

Tn = 8.2 - 1.8 + 1.8n

Tn = 6.4 + 1.8n

Hence, the formula of the sequence is Tn = 6.4 + 1.8n

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