Answer:
u = 40° , v = 40° and x = 100°
Step-by-step explanation:
i) from the rule of triangle we know that the sum of all three angles = 180°
ii) 100° + 40° + y = 180°. Therefore y = 40°. where y is the angle adjacent to v.
iii) from theorem on parallel lines we can say that u = y =40°
iv) from the properties of parallel lines we get v = 40° as interior alternate angles are equal.
v) again from the properties of parallel lines we get u = 40°
vi) using the triangle property as in i) we can see that u + v + x =180° therefore 40° + 40° + x = 180°. Therefore x = 100°.
vii) Therefore u = 40° , v = 40° and x = 100°
2.6 would be the proper answer to this question
Y = -10x + 1
-10x is the slope, 1 is the y-intercept :)
Answer:
<h2>B. Standard</h2>
Step-by-step explanation:
The point-slope form of an equation of a line:

m - slope
(x₁, y₁) - point
The slope-intercept form of an equation of a line:

m - slope
b - y-intercept
The standard form of an equation of a line:

The general fom of an equation of a line:

We have the equation 3x - 2y = 4 in standard form.
Answer: 284 cubes.
Step-by-step explanation:
By definition, the volume of a rectangular prism can be calculated by multiplying its dimensions.
Knowing that the dimensions of this box are
, we get that the volume of the box is:

The formula for calculate the volume of a cube is:

Where "s" is the lenght of a side.
Kwnowing that the a cube has a side of 1.5 cm, we get that the volume of one cube is:
Dividing
by
we get the greatest number of cubes that can fit in the box:
