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Aleks [24]
3 years ago
5

A triangle has side lengths of (2.4k-7.4) centimeters, (6.3k-2.2) centimeters and (6.8m+2.4) centimeters. which expression repre

sents the perimeter, in centimeters, of the triangle?
a. 9.2m-0.9k
b.-9.6+9.2m+8.7k
c. 6.8m-7.2+8.7k
d. -5k+4.1+9.2m
Mathematics
1 answer:
MrRa [10]3 years ago
6 0

c. 6.8m-7.2+8.7k

(2.4k-7.4)+(6.3k-2.2)+(6.8m+2.4) combine like terms

2.4k+6.3k+6.8m-7.4-2.2+2.4\\9.7k+6.8m-9.6+2.4\\9.7k+6.8m-7.2

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8 0
3 years ago
Determine if the sequence is geometric. If it is, find the common ratio, the 8th term, and the explicit formula. -2, 6, -18, 54,
aleksandrvk [35]

Answer:

Step-by-step explanation:

In a geometric sequence, the consecutive terms differ by a common ratio,r. Considering the given sequence,

r = 6/- 2 = - 18/6 = - 3

Therefore, the sequence is geometric.

The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the information given,

a = - 2

r = - 3

The explicit formula is

Tn = - 2 × (- 3)^(n - 1)

To find the 8th term, T8,

T8 = - 2 × (- 3)^(8 - 1)

T8 = - 2 × (- 3)^7

T8 = - 2 × - 2187

T8 = 4374

3 0
3 years ago
Find the value of x. Then find the measure of the red arc.
Elza [17]

Answer:

x = 70 degrees, red arc= 110 degrees

Step-by-step explanation:

x and 2x-30 added together is 180 degrees.

We can make an equation to find x,

x + (2x - 30) = 180

3x - 30 = 180

Add 30 to both sides to isolate x

3x = 210

By dividing both sides by 3, we get x = 70

Now we know the red arc is 2x - 30. We can plug x in because we know the value now.

2(70) - 30

140 - 30

Red Arc = 110 degrees

8 0
3 years ago
2x + 4) - 5<br> please help!<br> (simplify it)
pochemuha

Answer:

2x-1

Step-by-step explanation:

4 0
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3 years ago
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