Correct answers only !
a student sketched some art on an 8.5 inch x 11 inch piece of paper. he wants to resize it to fit an 5 inch x 7 inch frame (as shown below).
what percent of the original sketch was still able to be included? (hint: like step #2 of the example in class).
a. 100%
b. 92.4%
c. 85%
d. 80.4%

92.4%

Step-by-step explanation:

The picture is originally 11 inches wide by 8.5 inches tall.  It gets scaled down to a new width of 7 inches.  We need to find the new height.  To do this, we write a proportion:

8.5 / 11 = x / 7

Cross multiply:

11x = 59.5

Divide:

x = 5.41

The size of the picture is 5.41" x 7", but the size of the frame is 5" x 7".  The part of the picture's area that is included in the frame is:

(5 × 7) / (5.41 × 7)

= 5 / 5.41

= 0.924

92.4% of the picture is inside the frame.

26

step-by-step explanation:

in geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. by extension, a line and a plane, or two planes, in three-dimensional euclidean space that do not share a point are said to be parallel.