Answer:
The integers are 52 and 54
Step-by-step explanation:
x = first even integer
x + 2 = next integer that is even
x + x + 2 = 106
2x + 2 = 106
2x = 104
x = 52
x + 2 = 54
Answer:
The answer to your question is AC = 9.9
Step-by-step explanation:
To solve this problem use trigonometric functions. The trigonometric function that relates the hypotenuse and the adjacent side is cosine.
cos α = 
Solve for hypotenuse
Substitution
hypotenuse = 
Simplification and result
hypotenuse = 9.85
The maximum volume would be when the bottom of the box is a square.
The perimeter of the bottom is 36, so the side of the square would be 36/4 = 9 cm.
Then to find volume multiply the length by the width by the height:
Volume = 9 x 9 x 4 = 324 cm^3
The answer would be a.
Answer:
B
Step-by-step explanation:
<u>Definition:</u> Two rectangles are similar when they have corresponding sides proportional are proportional by dilation.
For example, rectangles with sides 3 cm, 4cm and 6 cm, 8 cm are similar, but rectangles with sides 3 cm, 4 cm and 6 cm, 10 cm are nor similar.
Since all angles in rectangle are always right angles, then options A and C are false (in terms of your question).
Option D is false too, because translation doesn't change the length, and in this case two rectangles are congruent.
Option B is true according to definition.
Answer:
n=2
Step-by-step explanation:
(-y + -2 ) + ( 3y + 6)
-y + 3y = 2y
2 + (-6) = -4
equals to ( 2y - 4)
