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nataly862011 [7]
2 years ago
12

Can someone help me do this

Mathematics
1 answer:
SCORPION-xisa [38]2 years ago
8 0

Answer:

6

Step-by-step explanation:

Find the missing angle:

180⁰ - 82⁰ = 98⁰

Find the sum of the angles given without the missing angle:

180⁰ - 98⁰ = 82⁰

The sum of both the angles is 82⁰

Write an equation:

5x + 8 + 6x + 8 = 82⁰

Collect the like terms together

11x + 16⁰ = 82⁰

Subtract 16⁰ from both sides

11x = 66⁰

Divide by 11 on both sides

x = 6⁰

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|AC| = 2|DE|
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⇒
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garri49 [273]
Answer is 4 .............
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garri49 [273]

Answer:

And the probability that the first die shows an odd number is 1/2, as is the probability that the second does. Since the dice fall independently, P(both are odd) = P(first is odd)*P(second is odd) = (1/2)*(1/2) = 1/4. Therefore P(at least one is even) = 1 - 1/4 = 3/4.

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two terms of an arithmetic sequence are a6= 40 and a20= -16. write and explicit rule for the nth term
Lana71 [14]

Answer:

Tn = 64-4n

Step-by-step explanation:

The nth term of an AP is expressed as:

Tn = a+(n-1)d

a is the common difference

n is the number of terms

d is the common difference

Given the 6th term a6 = 40

T6 = a+(6-1)d

T6 = a+5d

40 = a+5d ... (1)

Given the 20th term a20 = -16

T20 = a+(20-1)d

T20 = a+19d

-16 = a+19d... (2)

Solving both equation simultaneously

40 = a+5d

-16 = a+19d

Subtracting both equation

40-(-16) = 5d-19d

56 = -14d

d = 56/-14

d = -4

Substituting d = -4 into equation

a+5d = 40

a+5(-4) = 40

a-20 = 40

a = 20+40

a = 60

Given a = 60, d = -4, to get the nth term of the sequence:

Tn = a+(n-1)d

Tn = 60+(n-1)(-4)

Tn = 60+(-4n+4)

Tn = 60-4n+4

Tn = 64-4n

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