7. in triangle abc, side ab is 2 cm shorter than side
ac, while side bc is 1 cm longer than ac. if the
perimeter is 62 cm, find the lengths of the 3 sides.

AC = 21, AB = 19, and BC = 22

Step-by-step explanation:

If x is the length of AC, then:

AB = x − 2

BC = x + 1

The perimeter is the sum of all three sides:

62 = x + x − 2 + x + 1

62 = 3x − 1

63 = 3x

x = 21

Therefore:

AC = 21, AB = 19, and BC = 22

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

15%

step-by-step explanation:

use the table and count the number of guesses that has two correct answers.

the following are two correct answers

10010, 01100, 11000

a total of 3 numbers having 2 correct guesses out of 20 questions.

probability of getting 2 correct guesses = the number of questions getting 2 correct answers / total number of questions.

= 3/20

to convert it into percent multiply by 100, we get

= 3/20 * 100

= 15%

the answer is 15%

you.