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prohojiy [21]
3 years ago
14

Use the diagram to answer the questions.

Mathematics
1 answer:
emmasim [6.3K]3 years ago
3 0

Answer:

Line m is not parallel to Line n.

Line m is perpendicular to Line k

Step-by-step explanation:

1. Calculate slopes of n and m. N = -2 and M = -7/4. The two slopes aren't the same thus they are not parallel

2. Slope of m = -7/4 and k = 4/7. By definition of perpendicular these two fit the description. (to be perpendicular, k = -1/m

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Stacie has seven more cats than Steve. Write an expression that illustrates how many cats Stacie has. Use x to represent how man
Romashka [77]

let x represent the number of cats of Steve.

Statcie's cat

= 7 + x

3 0
3 years ago
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Find the volume of a square pyramid with base edges of 48 cm and a slant height of 26 cm.
solmaris [256]
The volume of a square pyramid can be derived from the expression that the volume of an object is equal to the product of the area of the base times its height. For a square pyramid, it can be simplified as V = a^2(h)/3 where a is the side of the square base and h is the height. However, we are given the slant height. The equation would be:

V = a^2(h)/3

s^2 = (a/2)^2 + h^2     where s is the slant height
h = √( s^2 - (a/2)^2)
h = √( 26^2 - (48/2)^2)= 10

V = 48^2(10)/3 = 7680 cm^3 --> OPTION C

3 0
3 years ago
What is the solution to x + 7 = 22?<br> A. x = 14<br> B. x= 7<br> © C. x= 15<br> D. x= 29
klio [65]

Answer:

x = 15

Step-by-step explanation:

x + 7 = 22

Subtract 7 from each side

x+7-7 = 22-7

x=15

6 0
2 years ago
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The owner of a snow cone stand used (1)/(4)gallon of syrup o make 16cherry snow cones . She used the same amount of syrup in eac
tester [92]

Answer:

1 /64 gallon.

Step-by-step explanation:

Number of cherry snow cones made from 1/4 gallons of syrup = 16

If the same amount of syrup is used in each cherry snow cone ;

Amount of syrup used in each cherry snow cone would be :

Gallons of syrup used / number of cherry snow cones made

= 1/4 gallons ÷ 16

= 1/4 * 1/16

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For Each cheery snow cone, 1/64 gallon of syrup was used.

4 0
3 years ago
Someone please help me with this :3
andreyandreev [35.5K]

Answer:

2

Step-by-step explanation:

\dfrac{\frac{2}{3}}{\frac{1}{3}}=\frac{2}{3}\cdot \frac{3}{1}=\frac{6}{3}=2. Hope this helps!

5 0
3 years ago
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