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stealth61 [152]
3 years ago
7

What is the value of x and what is angle b?

Mathematics
1 answer:
SashulF [63]3 years ago
6 0

Answer:

x=6

B = 20

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

55+ 3x+2 = 13x-3

Combine like terms

57+3x = 13x -3

Subtract 3x from each side

57+3x-3x = 13x-3x-3

57 = 10x-3

Add 3 to each side

57+3 = 10x-3+3

60 = 10x

Divide each side by 10

60/10 = 10x/10

6 =x

We also want angle B

B = 3x+2

   3*6+2

   18+2

   20

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PLEASE HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Bond [772]

Answer:

R = \frac {3ST}{2S + T}

Step-by-step explanation:

Given the equation;

\frac {3}{R} - \frac {1}{S} = \frac {2}{T}

Rearranging the equation, we have;

\frac {3}{R} = \frac {2}{T} + \frac {1}{S}

Lowest common multiple (LCM) of S and T is ST.

\frac {3}{R} = \frac {2S + T}{ST}

Cross-multiplying, we have;

3ST = R(2S + T)

Making R, the subject of formula;

R = \frac {3ST}{2S + T}

8 0
3 years ago
The can shown has a diameter of 3 inches and a height of 5 inches. Find the lateral surface area of the can.
beks73 [17]

Answer:

Lateral surface area of can = 47 inch² (Approx.)

Step-by-step explanation:

Given:

Diameter of given can = 3 inches

Height of given can = 5 inches

Find:

Lateral surface area of can

Computation:

Radius of can = 3 / 2 = 1.5 inch

Lateral surface area of can = Lateral surface area of cylinder

Lateral surface area of cylinder = 2πrh

Lateral surface area of can = 2πrh

Lateral surface area of can = 2(3.14)(1.5)(5)

Lateral surface area of can = 47.1

Lateral surface area of can = 47 inch² (Approx.)

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3 years ago
What equation this show<br> The cost of 10 pounds of potatoes is 8 dollars
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To formulate the equation that shows the cost of 10 pounds of potatoes is 8 dollars we proceed as follows;
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Step-by-step explanation:

This image shows the process to find x.I hope you find this helpful!

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