Answer:
the slope is 1/2
Work:
if the x-coordinate is two times the y-coordinate, that means you are going up one over two each time
slope= y2-y1/x2-x1
so you can pick two points, like (2, 1) and (4,2) and use the formula
slope= 2-1/4-2= 1/2
Answer:
1). m∠ACE = 115°
2). m(∠DCB) = 35°
3). m(∠ACB) = 30°
Step-by-step explanation:
In the diagram attached,
1). AB and CD are the parallel lines and the line AC is a transverse,
m(∠ABC) = 35°
m(∠BAC) = 115°
∠BAC ≅ ∠ACE [Alternate interior angles]
m(∠ACE) = m(∠BAC) = 115°
2). Since, AB and CD are the parallel lines and line CB is a transverse,
∠ABC ≅ ∠DCB [Alternate interior angles]
m(∠ABC) = m(∠DCB) = 35°
3). From ΔACB,
m(∠ACB) + m(∠CBA) + m(BAC) = 180°
m(∠ACB) + 35° + 115° = 180°
m(∠ACB) = 30°
Given:
Length of the truck = 80 cm
Width of the truck = 60 cm
To find:
The longest walking stick that can be placed in the bottom of a truck.
Solution:
The longest walking stick that can be placed in the bottom of a truck is the diagonal of the truck.
We know that, the diagonal of a rectangle is:
Where, l is the length and w is the width.
Putting and , we get
Therefore, the length of the longest walking stick that can be placed in the bottom of a truck is 100 cm.