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TiliK225 [7]
2 years ago
15

Could anyone Solve

Mathematics
1 answer:
viva [34]2 years ago
3 0

The value of the angle shown in the protactor is 50° and the value of y is 10°.

<h3>How to calculate the values?</h3>

The value of y will be:

2y + 30 = 3y + 20

3y - 2y = 30 - 20

y = 10

The value of x when they're complementary will be:

5x - 2 + 3x + 4 = 90

8x + 2 = 90

8x = 90 - 2

8x = 88.

x = 88/8 = 12

The value of angle FDE will be:

3x + 10 + 6x + 8 = 180

9x + 18 = 180

9x = 180 - 18

9x = 162

x = 162/9

x = 18

FDE = 6x + 8

= 6(18) + 8

= 108 + 8

= 116

Learn more about angles on:

brainly.com/question/25770607

#SPJ1

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The sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number.
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2 \frac{1}{16}

Step-by-step explanation:

The question state that;  the sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number.

First, we need to interpret and represent this statement mathematically

Let n be the number.

The sum means 'addition'

1/6 of that number is  1/6 of n = 1/6 × n  = \frac{n}{6}

2 1/2 of that number is 2 1/2 of n = 2 1/2 × n  = 5/2 × n = \frac{5n}{2}

So the question says that, when we add; \frac{n}{6} ,  \frac{5n}{2}  and 7 all together, the value is 12 1/2

That is;

\frac{n}{6}  + \frac{5n}{2} + 7 = 12 1/2

\frac{n}{6}  + \frac{5n}{2} + 7  = \frac{25}{2}         ( changing 12 1/2 to improper fraction will give  \frac{25}{2} )

So we can now go ahead and solve for n

\frac{n}{6}  + \frac{5n}{2} + 7  = \frac{25}{2}  

subtract 7 from both-side of the equation

\frac{n}{6}  + \frac{5n}{2}   =  \frac{25}{2}   -   7

\frac{n + 15n}{6}  =   \frac{25 -14}{2}

\frac{16n}{6}      =    \frac{11}{2}

\frac{16n}{6}  can be reduced to give us \frac{8n}{3}

\frac{8n}{3}   =   \frac{11}{2}

Cross multiply

8n × 2  = 11× 3

16n = 33

Divide both-side of the equation by 16

\frac{16n}{16}    =   \frac{33}{16}

(On the left-hand side of the equation, 16 will cancel-out 16 leaving us with just, while  on the right-hand side of the equation 33 will be divided by 16)

n =  \frac{33}{16}     = 2\frac{1}{16}

Therefore the number is  2\frac{1}{16}

5 0
3 years ago
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