Answer:
y = 40°
Step-by-step explanation:
The triangle in the picture is an isosceles triangle because of the markings on the side (they show that two sides are congruent).
An isosceles triangle not only have a pair of congruent sides, but also have a pair of congruent angles.
So,
5x = 40
Solve for x,
x = 40 ÷ 5
x = 8
5x = 40
5(8) = 40
40 = 40
Now we know the two angles. We then find the last angle containing y.
We know that the total angle measurement of the triangle is 180°.
Set up the equation,
40 + 40 + 2y + 20 = 180
Solve for y,
80 + 2y + 20 = 180
100 + 2y = 180
2y = 180 - 100
2y = 80
y = 80 ÷ 2
y = 40°
Answer:
The height of the prism is equal to 
Step-by-step explanation:
we know that
The volume of a rectangular prism is equal to

where
B is the area of the base of the prism
h is the height of the prism
In this problem we have


substitute in the formula and solve for h


Answer:. No
Step-by-step explanation:
Explanation:
The answer is NO because, mostly, there is always a variability in
the data used in answering statisticall questions. As in the question above, no variability
because Megan is taller than Jim or she is not taller than jim.
Thus, the question is not statistical in nature.
Answer:
3
Step-by-step explanation:
The boxes are stacked 5 boxes deep by 4 boxes high by 4 boxes across, then there are
boxes in total.
The mass of 1 box of paper is 22.5 kilograms, so 80 boxes weigh
kilograms.
When the driver is in the truck, the mass is 2948.35 kilograms, then the total mass is

Let n be the number of boxes of paper the driver must deliver at the first stop. Their weigth is 22.5n kg and the weight of the truck without n boxes is

Trucks with a mass greater than 4700 kilograms are not allowed over the bridge, thus

Hence, the driver must deliver at least 3 boxes at the first shop.
1560 / 26 = 60 words per minute