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disa [49]
3 years ago
5

Angle S and angle T form a linear pair if measurement of angle S equals 5X +9 and measurement of angle T equals 3X +11 find the

measures of both angles
Mathematics
1 answer:
vampirchik [111]3 years ago
6 0
Linear pair angles have too add to 180, so

5x+9+3x+11=180
8x+20=180
8x=160
x=20

so angle S is 5*20+9 = 109
angle T is 3*20+11 = 71
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Write the first 5 terms of the arithmetic sequence whose first term is 8 and whose common difference is -6.
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The formula for arithmetic sequence is given by:
an=a+(n-1)d
where:
an=nth term
a=first term
n=number of terms
thus our first term will be:
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a3=8+(3-1)(-6)=-4
a4=8+(4-1)(-6)=-10
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Consider rolling two fair dice and observing the number of spots on the resulting upward face of each one. Letting A be the even
Allushta [10]

Answer:

P(E|A)= \frac{10}{11}

Step-by-step explanation:

Given

Two rolls of die

E \to one of the outcomes is 6

A \to atleast one is 6

Required

P(E|A)

First, list out the outcome of each

E = \{(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5)\}

A = \{(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)\}

So:

P(E|A)= \frac{n(E\ n\ A)}{n(A)}

Where:

E\ n\ A = \{(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5)\}

n(E\ n\ A) = 10

n(A) = 11

So:

P(E|A)= \frac{10}{11}

7 0
3 years ago
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