Answer:
12x-18
Step-by-step explanation:
Let jena take x hours to mow the lawn on her own.- then we can write the equation
1/x + 1/4x = 1 / 44
44 + 11 = x
x = 55
x takes 55 hours to mow the lawn
Answer:
- True, True, False, False, True
Step-by-step explanation:
Trapezoid ABCD was dilated to create trapezoid A'B'C'D'.
Scale factor is 1/2 according to the coordinates.
<h3>The answer options</h3>
<u>The length of side AD is 8 units.</u>
<u>The length of side A'D' is 4 units.</u>
<u>The image is larger than the pre-image.</u>
- False. It is 2 times smaller.
<u>Sides CD and C'D' both have the same slope, 2.</u>
Slopes of CD and C'D' are same: m = (0 - 4)/(4 - 2) = -4/2 = -2
<u>The scale factor is One-half.</u>
Given:
The base of 40-foot ladder is 8 feet from the wall.
To find:
How high is the ladder on the wall (round to the nearest foot).
Solution:
Ladder makes a right angle triangle with wall and ground.
We have,
Length of ladder (hypotenuse)= 40 foot
Base = 8 foot
We need to find the perpendicular to get the height of the ladder on the wall.
Let h be the height of the ladder on the wall.
According to the Pythagoras theorem,





Taking square root on both sides.


Height cannot be negative. Round to the nearest foot.

Therefore, the height of the ladder on the wall is 39 foot.