Answer:
A design in which all levels of each independent variable are combined with all levels of the other independent variables. A factorial design allows investigation of the separate main effects and interactions of two or more independent variables.
Step-by-step explanation:
3x + 6 = 48 (alternate angles are equal)
- 6
3x. = 42
÷3
x = 14 degrees
180-48 - 2y + 5y-9 =180
123 + 3y = 180
-123
3y = 57
÷3
y = 19 degrees
Explanation:
To find the last angle on the top straight line, do:
180 - (the 2 given angles).
So, 180 - (3x + 16, which is 48 due to alternate angles being equal). Then, minus the 2y.
(180 - 48 - 2y) & simplify => 132 - 2y
This gives you the equation for the missing angle on our top straight line.
Thus, co-interior angles add to 180. So, we add the new equation (132 - 2y) to 5y - 9.
Simplify
=> 123 + 3y (because - 2+5 =3)
and put it equal to 180. Solve for y
Hope this helps!
When the base and the height of a triangle are the same. the hypotenuse is that number times sqrt2.
B and C are 7, so a would also be 7
Answer:
65 dm and 52 dm
Step-by-step explanation:
If the scale factor of the sides is k, then the scale factor of the areas is k^2.
The scale factor of the areas is (32 dm^2)/(50 dm^2) = 0.64 = k^2
The scale factor of the sides is k = \sqrt(0.64) = 0.8
The perimeters are in a ratio of 1:0.8
x + 0.8x = 117
1.8x = 117
x = 65
0.8x = 0.8(65) = 52
The perimeters are 65 dm and 52 dm.
It means 25 divided by 0.2
