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4 years ago

13

Find the value of x in the following figure.

1 answer:

steposvetlana [31]4 years ago

5 0

The sum of all exterior angles on a polygon = 360 degrees.

Therefore you can make this formula:

360 = 46 + (12x + 37) + (12x - 2 ) + (20x - 29)

Now let's solve for x.

360 = 46 + (12x + 37) + (12x - 2 ) + (20x - 29)
360 = 46 + 12x + 37 + 12x - 2 + 20x - 29
360 = 83 + 12x + 12x - 2 + 20x - 29
360 = 81 + 12x + 12x + 20x - 29
360 = 52 + 12x + 12x + 20x
360 = 52 + 24x + 20x
360 = 52 + 44x
308 = 44x
/44 /44
7 = x

Therefore, x is equal to 7. You can substitute this into each angle to find the actual measurement of each angle. You will notice that the finished angles will all add up to 360 degrees.

Hope it helped :P

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Andrei [34K]

Answer:

I got (y-7)=1/13(x+6) for point slope

and y=1/3x+13 for slope intercept form

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3 years ago

If I am adding one positive number and one negative number, will the answer be positive or negative? What does it depend on?

maxonik [38]

It depends on which number has the greatest absolute value.

Think about it as money

If you owe me $10, this is shown as -10

Now if I give you back 2 dollars (+2), How much money do I still owe you.

The equation is -10+2

I still owe you 8 dollars which is portrayed as -8

Hope this helps :)

8 0

3 years ago

Work out 77 % of 775.66 m Give your answer rounded to 2 DP.

Zinaida [17]

Answer:

597.25 m

Step-by-step explanation:

We need to find 77% of 775.66 m.

It can be calculated as follows :

$77\%\times 775.66\\\\=\dfrac{77}{100}\times 775.66\\\\=597.25\ m$

So, 77% of 775.66 m is equal to 597.25 m.

6 0

3 years ago

Solve for x: 2 over 3 equals 8 over quantity x plus 6

SashulF [63]

Answer:

x = 40/3

Step-by-step explanation:

2/3 = (8/x) + 6

-6 -6

2/3 - 6 = -16/3

-16/3 = 8/x

*x *x

(-16/3)x = 8

+16/3 +16/3

x = 40/3

7 0

3 years ago

Read 2 more answers

An airplane climbs 100 feet during the first second after takeoff. In each succeeding second it climbs 100 feet more than it cli

tigry1 [53]

Answer:

15 seconds.

Step-by-step explanation:

∵ The distance covered by plane in first second = 100 ft,

Also, in each succeeding second it climbs 100 feet more than it climbed during the previous second,

So, distance covered in second second = 200,

In third second = 300,

In fourth second = 400,

............, so on....

Thus, the total distance covered by plane in n seconds = 100 + 200 + 300 +400......... upto n seconds

$=\frac{n}{2}(2\times 100 + (n-1)100)$ ( Sum of AP )

$=\frac{n}{2}(200+100n-100)$

$=\frac{n}{2}(100+100n)$

$=50n+50n^2$

Suppose the distance covered in n seconds is 12,000 feet,

$\implies 50n+50n^2=12000$

$n+n^2=240$

$n^2+n-240=0$

$n^2+16n-15n-240=0$

$n(n+16)-15(n+16)=0$

$(n-15)(n+16)=0$

$\implies n=15\text{ or }n=-16$

∵ n can not be negative,

Hence, after 15 seconds the plane will reach an altitude of 12,000 feet above its takeoff height.

6 0

3 years ago

Read 2 more answers