Answer:
60°, 120°, 180°, 240° and 300°
Step-by-step explanation:
In case of a regular hexagon, there is a set of six movements to complete its one rotation. Now in one rotation, it will complete 360° of its circular motion. Now the formula to calculate the angle of rotation for any shape with equal length of its sides is:
Angle of rotation (Ф) = 360/Total number of sides
In this case, Ф = 360/6
Ф = 60
This formula is valid for every shape with equal sides, like in case of pentagon you will have 360/5 to calculate the angle of rotation.
Now in case of hexagon, at rotation of 60°, its rotation is symmetrical, which means rotation will not change its physical appearance, this is the case for next 60° rotation as well, or you can say that for 120° (60° before and 60° afterwards). This suit will follow for all the angles given in the answer section.
The ratio of Blue to red in the purple shade that Patrick wants is:
Blue:red=4:3
The mixtures that will create the same shade of purple is:
<span>a] 8ounces of blue paint mixed with 6ounces of red paint
because the ratio of blue to red is 4:3
and
b] </span><span>20 ounces of blue paint mixed with 15 ounces of red paint
because the ratio of blue to red is 4:3</span>
Answer:
False
Step-by-step explanation:
The people arent random
By using definition of proportionality and Pythagorean theorem, the values of x and y associated with the geometrical system formed by two right triangles are 36 / 5 and 104 / 5, respectively.
<h3>How to analyze a geometrical system formed by two proportional right triangles</h3>
Herein we find a picture of a geometrical system formed by two proportional right triangles with two variables: {x, y} These variables can be found by using the definition of proportionality and the Pythagorean theorem:
5 / 8 = 12 / (12 + x) = 13 / y
Then, we proceed to solve the system formed by two equations:
(12 + x) / 12 = 8 / 5
12 + x = 96 / 5
x = 96 / 5 - 12
x = 36 / 5
y / 13 = 8 / 5
y = 104 / 5
By using definition of proportionality and Pythagorean theorem, the values of x and y associated with the geometrical system formed by two right triangles are 36 / 5 and 104 / 5, respectively.
To learn more on right triangles: brainly.com/question/6322314
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slope intercept form is y=mx+b
so solve for y
2x+y=-3
minus 2x both sides
y=-2x-3
-2y=6+4x
divide both sides by -2
y=-3-2x
y=-2x-3
