using pythagorean theorem
a^2 + b^2 = c^2
(12x)^2 + (16x)^2 = 10^2
square each term
144x^2 + 256x^2 = 100
combine like terms
400 x^2 = 100
divide by 400 on each side
x^2 = 1/4
take the square root on each side
x = 1/2
Answer: x=1/2
- square
- regular pentagon
- regular hexagon
- regular octagon
- regular nonagon
- regular dodecagon
The regular polygons could be used to make regular and semi-regular tessellations are equilateral triangle, square and regular hexagon. Therefore, the correct answers are A, B and D.
A regular tessellation is tessellation made up by using only one type of regular polygon. These are made up of completely congruent regular polygons all that connecting vertex to vertex.
Regular polygons have congruent straight sides. When we slide or rotate a regular polygon, the side of the original figure and the side of its translation will match.
Equilateral triangles, squares and regular hexagons are the only regular polygons that tessellate. Therefore, there are only three regular tessellations.
Therefore, the correct answers are A, B and D.
Learn more about the tessellations here:
brainly.com/question/12926513.
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Answer:
A. equilateral triangle
B. square
D. regular hexagon
E. regular octagon
G. regular dodecagon
Step-by-step explanation:
Answer:
y = x + 1
Step-by-step explanation:
y = mx + b
First, find the y-intercept. This is where the line intersects with the y-axis.
So, 1. -> y = mx + 1
Next, find the slope. For every 1/2 moving to the right, it also vertically increased by 1/2.
(1/2)/(1/2)
= 1 -> y = x + 1
Therefore, y = x + 1
Answer:
$15 profit would Caroline make .
Option (B) is correct .
Step-by-step explanation:
As given
i.e
i.e
Thus
Profit = (Cost of the 20 stock after 10 month - Cost of the 20 stock before 10 month ) × Total number of shares .
L.C.M of (4,2) = 4
Profit = 3 × 5
Profit = $15
Therefore the $15 profit would Caroline make .
Option (B) is correct .
7 . X + 2y = 4 (move x beside 4, since it's positive it will be negative)
2y = 4 - X (divide terms to 2)
| 2y ÷ 2 = y | 4 ÷ 2 = 2 | -X ÷ 2 = -1/2 (There's always an imaginary 1 beside x, only just x).
y = 2 - 1/2x (rearrange terms)
y = -1/2x + 2
9. -2x + 3y = -6 (move -2x beside -6, since it's negative it will turn into a positive)
3y = -6 + 2x (divide by 3)
y = -2 + 2/3x (rearrange)
y = 2/3x -2
11. 5x - 2y = 14
-2y = 14 - 5x (-2 ÷ -5x is 5/2x, but since numerator and denominator are negative, fraction turns positive)
y = -7 + 5/2x
y= 5/2x - 7
13. 4x + 3y = 12
3y = 12- 4x
y = 4 -4/3x
y = -4/3x + 4
15. x + 3y = -3
3y = -3 -x
y = -1 -1/3x
y -1/3x - 1
There you go!
Just remember those steps and you should be fine :)