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Nutka1998 [239]
3 years ago
11

Given the information in the diagram, which theorem best justifies why lines j and k must be parallel?

Mathematics
2 answers:
snow_lady [41]3 years ago
3 0
The converse alternate exterior angles theorem justifies why lines j and k must be parallel.

The converse alternate exterior angles theorem states that if two lines are cut by a transversal so that alternate exterior angles are congruent, then the lines are parallel.
prisoha [69]3 years ago
3 0

Answer:

D

Step-by-step explanation:

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The ratio of the volume of fruit juice to the volume of smoothies served at a party was 4.5 to 2.4. There were 35 liters more fr
Harrizon [31]
The volume of the smoothies served is 18.67 liters.

Given: 
volume of fruit juice = 35 liters
ratio of fruit juice to smoothies = 4.5 to 2.4

Proportion: a:b = c:d where ad = bc
a = 4.5 ; b = 2.4 ; c = 35 ; d = x

4.5 to 2.4 = 35 to x

4.5x = 35 * 2.4
4.5x = 84
4.5x/4.5 = 84/4.5
x = 18.67 volume of smoothies.

to check:
4.5(18.67) = 35*2.4
84.015 = 84

3 0
4 years ago
Risa is sewing a ribbon around the sides of a square blanket. Each side of the blanket is 72 inches long, how many inches of the
vaieri [72.5K]
72*4=288in of ribbon
5 0
3 years ago
A is directly proportional to B when A=12 B=3 Find the value of A when B = 5​
Schach [20]

Answer:

A = 20

Step-by-step explanation:

12/3 = A/5

60 = 3A

A = 60÷3 = 20

3 0
3 years ago
A cube with edges that measure 10 centimeters has a volume that is twice as much as a cube with sides that measure 5 centimeters
rodikova [14]

Answer:

False

Step-by-step explanation:

We find the volumes of the two cubes and compare them.

volume of cube = side^3

The volume of the 10-cm cube is:

V = (10 cm)^3 = 1000 cm^3

The volume of the 5-cm cube is:

V = (5 cm)^3 = 125 cm^3

1000/125 = 8

The volume of the 10-cm cube is 8 times the volume of the 5-cm cube.

The statement is false.

7 0
3 years ago
Need help!!!! ASAP!! Plzz
nadya68 [22]

Answer:

XV = 4.75

Step-by-step explanation:

TV/WV = UV/XV (similarity theorem)

TW = 9

WV = 3

UV = 19

TV = 9 + 3 = 12

XV = ?

Plug in the values

12/3 = 19/XV

4 = 19/XV

XV × 4 = 19

XV = 19/4

XV = 4.75

5 0
3 years ago
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