Answer:
The length of segment QM' = 6
Step-by-step explanation:
Given:
Q is the center of dilation
Pre-image (original image) = segment LM
New image = segment L'M'
The length of LQ = 4
The length of QM = 3
The length of LL' = 4
The original image was dilated with scale factor = 2
QM' = ?
To determine segment QM', first we would draw the diagram obtained from the given information.
Find attached the diagram
When a figure is dilated, we would have similar shape in thus cars similar triangles.
Segment L'M' = scale factor × length of LM
Let LM = x
L'M' = 2x
Using similar triangles theorem, ratio of their corresponding sides are equal.
QM/LM = QM'/L'M'
3/x = QM'/2x
6x = QM' × x
Q'M' = 6
The length of segment QM' = 6
Answer:
0.40x = 320
Step-by-step explanation:
40% as a decimal is 0.40.
Let the number of house plants = x.
40% of the number of house plants is 320.
40% * x = 320
0.40x = 320
The meaning of the words "at least" mean that the value should be equal or greater than the certain number given. Let h be the height, the inequality that best represents the condition is,
h ≥ 42
This is equal to choice letter C.
Given:
1 mile = 5280 feet
1 meter = 3.3 feet
convert 60 miles per hour to meters per second
60 miles to meters
60 miles x <u>5280ft</u> x <u>1meter</u> = (60*5280m)/3.3 = 316800m/3.3
1 mile 3.3ft
= 96,000 meters
1 hour to seconds
1 hour x <u>60 minutes</u> x <u>60 seconds</u> = 1 * 60 * 60sec = 3600 seconds
1 hour 1 minute
unit rate: meters per second
96000 meters ÷ 3600 seconds = 26 2400/3600
simplify 26 2400/3600 ⇒ 26 2/3 meters per second
2400 ÷ 1200 = 2
3600 ÷ 1200 = 3
Answer:
Answer:is A
A) Molly walked 5 miles and Mary walked 15 miles last month. If Molly walks 3 miles per week and Mary walks 2 miles per week, how long will it be before Molly has walked more miles than Mary?
Step-by-step explanation:
An inequality can have more than one solution. The set of all solutions of an inequality is called the solution set. The symbol ≥/ means “is not greater than or equal to.”