Step-by-step explanation:
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Givens
AB + BC = AC
AB = 2(x + 1)
BC = 3x + 1
AC = 4(x + 2)
Substitute and Solve
AB + BC = AC
2(x + 1) + 3x + 1 = 4(x + 2) Remove the brackets on the left
2x + 2 + 3x + 1 = 4(x + 2) Collect the like terms on the left
5x + 3 = 4(x + 2) Remove the brackets on the right.
5x + 3 = 4x + 8 Subtract 4x from both sides.
5x - 4x + 3 = 8
x + 3 = 8 Subtract 3 from both sides
x =8 - 3
x = 5
Answers
AB=2(5 + 1) = 2 * 6 = 12
BC = 3x + 1 = 3*5 + 1 = 15 + 1 = 16
AC = 4(5 + 2) = 4*7 = 28
Find the mean of <br>35,26,31,16,21,23,27,30,26,17,19,27
zzz [600]
Hello!
To find the mean, we must add all the terms in the dataset and divide by how many there are.
35+26+31+16+21+23+27+30+26+17+19+27=450
There are 12 terms in the dataset, so we divide by 12:
37.5
So the mean of this set is 37.5.
Hope this helps you!
~Just a joyful teen
Answer:
24 sides
Step-by-step explanation:
Angle at a point = 360°
To find the number of degrees in each interior angle of a regular polygon, we make use of
180(n - 2)/n
There are 8 sides in a regular octagon,
Each interior of a regular octagon= 180(8-2)/8
= 6 * 180/8
= ¾ * 180
= 135°
The interior angle of a regular triangle (equilateral triangle) is 60°
The interior angle of the regular n-gon is given by
360° - 135 - 60°
= 165°
Since the interior angle is 165°
Then
180(n - 2)/n = 165 for the regular n-gon
Solving for n
Multiply both sides by n
180(n - 2) = 165n ------ Open the bracket
180n - 360 = 165n ----- Collect Like Terms
180n - 165n = 360
15n = 360 ----- Divide both sides by 15
n = 360/15
n = 24
Thus, the number of sides of the regular n-gon is 24
Answer:
Step-by-step explanation:
it is 145/25 which is reduced to 29/5
