Answer: x ≥ 5
Step-by-step explanation:
7 is increased by the product of a number and 3: 7 + 3x
Is at least 22: ≥ 22
Your equation is: 7 + 3x ≥ 22
subtract 7 from both sides
3x ≥ 15
divide both sides by 3
x ≥ 5
Note that rotation will not affect the shape and size of an object.
Rotation with respect to a point preserves the corresponding sides and the corresponding angles of the original image.
Hence, the statements
The corresponding angle measurements in each triangle between the pre-image and the image are preserved and
The corresponding lengths, from the point of rotation, between the pre-image and the image are preserved
are true.
6n-8<5n decreased means subtract
n-8<0
n<8
Length(l)= 2w
width(w)= w
Perimeter(P)= 2w+2l= 72 (simplify expression: divide each side by 2 )
P= w+l= 36 (plug in "2w" for "l")
P= w+(2w)= 36
P= 3w= 36 (divide each side by 3 to find the width)
w= 12 units
find length:
l=2w
l= 2(12)
l= 24 units
Answer:
The length of this rectangle is 24 units and the width is 12 units.
