Answer:
5.7
Step-by-step explanation:
Complete question :
A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio.The perimeter of the patio after it is expanded is 74 feet. The equation which represents x, the width of the border is 2[(12+2x)+15+2x)]=74. What is the width of the border?
1) 2 1/2 feet
2) 3 feet
4) 5 feet
5) 8 1/2 feet
Answer:
2.5
Step-by-step explanation:
Solving for X in the perimeter equation :
2[(12+2x)+15+2x)]=74
Open the bracket
2[(12 + 2x + 15 + 2x)] = 74
2(27 + 4x) = 74
54 + 8x = 74
8x = 74 - 54
8x = 20
x = 20/8
x = 2.5
Hence, width fo border = 2.5
Answer:
B
Step-by-step explanation:
In 45 45 90 triangles the ratio is a:a:a root 2 so the answer would be 3root 2/2 or c because when multiplied again by root 2 it will get you 3.
-2<x<3 | *2
-4<2x<6 | +7
3< 2x+7< 13
3<10<13
The answer is C
Answer: 
Step-by-step explanation:
First, it is important to know that the scale factor is defined as a ratio of two corresponding side lengths of similar figures.
Similar figures are defined as those figures in which the ratio of their corresponfing side lengths are equal and their corresponding angles are congruent (which means that they have the same measure).
In this case, you know that the rectangles given in the picture are similar.
Therefore, you can find the scale factor that was applied to the first rectangle to get the resulting image, dividing the lenghts of their corresponding sides.
Then, this is:
