Answer:
C
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
=
, substituting values
=
( cross- multiply )
21x = 7(24 - x) ← distribute
21x = 168 - 7x ( add 7x to both sides )
28x = 168 ( divide both sides by 28 )
x = 6 → C
Answer:
2 pieces, 30ft each
Step-by-step explanation:
rope : 60ft long
we are trying to figure out how many equal pieces we can cut the rope into with the length of each piece to be the greatest possible integer:
if jason wants the length of rope to be the longest than the answer is 2, if he divides the length of 60 by 2, each piece will be 30 feet long. If he divides the rope by any number larger, each piece will be shorter than 30 feet, and he wants the piece to be the largest possible length.
Answer:
y=-1/3x+1
Step-by-step explanation:
The slope of this line is negative, and is equal to rise over run.
To find slope, count the number of spaces it has moved down or up, and then the number of spaces it has moved left or right.
The y intercept is represented by +1, and is where the line crosses the y axis.
Hope this helps!
Answer: (-6, 5)
<u>Step-by-step explanation:</u>
Use the Midpoint Formula: 
Separate the x's and y's and solve them individually:

So, the k-coordinate is (-6, 5)
Answer:
135 square ft.
Step-by-step explanation:
To solve this equation, you need to find the area of this rectangle. Area is always base x height, or in this case, length x width. Now you multply your length, 15', by your width, 9', to get your answer, 135 square feet. When you multiply two measurments of the same unit together, you get square (units), which simply means that you multiplied two of the same unit of measurment together.