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lutik1710 [3]
2 years ago
6

Prove <5 is supplementary to <6 using theorems.

Mathematics
1 answer:
babunello [35]2 years ago
6 0

Answer:

Theorem 10.5: If two parallel lines are cut by a transversal, then the exterior angles on the same side of the transversal are supplementary angles.

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A games shop sells marbles
Taya2010 [7]
To start, the question is asking for surface area of a cylinder, meaning you will have to use this formula to find it: A=2πrh+2πr^2.

Since you already know that the diameter of the plastic cylinder is 4 marbles long, and each marble is 2 cm in diameter, you would multiply 4 and 2 to get that your diameter is 8 cm. However, since the surface area of a cylinder formula uses radius, you would simply divide 8 by 2 to get that the radius of the cylinder is 4 cm. 

Now, since you already know that the height of the cylinder is equal to 10 marbles, multiply the amount of marbles by 2 to get that the height of the cylinder is 20 cm. 

Now that you know the height and the diameter of the cylinder, plug the values into the formula: A=2π(4)(20)+2π(4)^2.
Assuming that pi is 3.14, simplify the equation as according to PEMDAS and you get that the area of plastic needed to make one cylinder is 602.88 cm squared
5 0
3 years ago
4x^2+12xy+9y^2 tại x=2, y=2
Katena32 [7]

Step-by-step explanation:

hope it's helpful for you

PLS REFER THE ABOVE ATTACHMENT

6 0
2 years ago
Kim purchased a dress for $132 which was on sale for 60% of its original price. What was
Sophie [7]
Multiply .6 x 132 and that gets you 79.2 then you add 132 +79.2 =$211.20
6 0
3 years ago
Read 2 more answers
The graph shows the relationship between the United States dollar and the euro, the currency of the European Union, in December
olasank [31]

The graph is missing, so i have attached it;

Answer:

Constant of proportionality = 0.75

Step-by-step explanation:

From the graph attached, we are given 3 coordinate points of (x, y) namely;

(120, 90), (250, 187.5), (400, 300)

Now, constant of proportionality for each coordinate point is simply;

k = y/x

Thus, for first coordinate point (120, 90),

k1 = 90/120

k1 = 0.75

For 2nd coordinate point (250, 187.5),

k2 = 187.5/250

k2 = 0.75

For third coordinate point (400, 300),

k3 = 300/400

k3 = 0.75

From each of the 3 points, we can see the constant of proportionality is the same and equal to 0.75.

6 0
3 years ago
9 to the power 18 = 27 to the power x work out the value of x
Strike441 [17]

Answer:

Step-by-step explanation:

27^x = 9÷(3^x)

So (3^3)^x = (3^2)÷(3^x)

So 3^3x = 3^(2-x)

Comparing powers on both sides,

3x = 2 - x

So, 4x = 2

So, x = 1/2

Given ( 27 ) ^ x = 9 / 3 ^x

⇒ ( 3 × 3 × 3 )^x = ( 3 × 3 ) / 3^x

⇒ ( 3 ³ )^x = 3² / 3^x

⇒  3 ^ 3x × 3^x = 3²            [ since  ( a ^m)^n = a ^mn ]

⇒ 3^ (3x +x) = 3²                [ since a^m × a^n = a ^m+n ]

⇒ 3^4x = 3²

⇒4x = 2                      [ since  If a ^m = a ^n then m = n ]

⇒ x = 2 / 4

 ∴ x = 1 / 2

I hope this helps you.

8 0
3 years ago
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