Triangle MNP and triangle JKL are similar right triangles. Which proportion can be used to show that the slope of
¯¯¯¯¯
J
L
is equal to the slope of
¯¯¯¯¯¯¯
M
P
?

A.
0
−
(
−
7
)
4
−
(
−
4
)
=
−
4
−
(
−
10
)
8
−
(
−
1
)

B.
0
−
4
−
4
−
(
−
7
)
=
−
4
−
8
−
1
−
(
−
10
)

C.
0
−
(
−
4
)
4
−
(
−
7
)
=
−
4
−
(
−
1
)
8
−
(
−
10
)

D.
−
4
−
(
−
7
)
0
−
4
=
−
1
−
(
−
10
)
−
4
−
8

b. 24 mm

step-by-step explanation:

use the pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 7^2 = 25^2

a^2 + 49 = 625

a^2 = 576

a = 24

answer: b. 24 mm

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".

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

$9.41

step-by-step explanation: