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Zarrin [17]
3 years ago
15

Some pls help me with number 6

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
5 0

Answer:

m∠CBD = m∠CDB ⇒ proved

Step-by-step explanation:

Let us solve the question

∵ AB ⊥ BD ⇒ given

→ That means m∠ABD = 90°

∴ m∠ABD = 90° ⇒ proved

∵ ED ⊥ BD ⇒ given

→ That means m∠EDB = 90°

∴ m∠EDB = 90° ⇒ proved

∵ ∠ABD and ∠EDB have the same measure 90°

∴ m∠ABD = m∠EDB ⇒ proved

∵ m∠ABD = m∠ABC + m∠CBD

∵ m∠EDB = m∠EDC + m∠CDB

→ Equate the two right sides

∴ m∠ABC + m∠CBD = m∠EDC + m∠CDB

∵ m∠ABC = m∠EDC ⇒ given

→ That means 1 angle on the left side = 1 angle on the right side, then

   the other two angles must be equal in measures

∴ m∠CBD = m∠CDB ⇒ proved

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Romashka-Z-Leto [24]
The first thing you must do is to calculate the weight of the gravel (w) that the truck holds (7.5 yards³). So, you have:

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zhannawk [14.2K]

Answer:

\sum ^{20} _{n \to \11} 4n

Step-by-step explanation:

In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;

4, 8, 12, 16, 20...80

The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d

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The nth term of the series is 4n.

Since the last term is 80, L = 4n

80 = 4n

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This shows that the total number of terms in the sequence is 20

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4 + 8 + 12 + 16 + 20+ . . . + 80  = \sum ^{20} _{n \to \11} 4n

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Answer:

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X = 46

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