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Natalka [10]
3 years ago
13

Solve for x...........................................

Mathematics
1 answer:
Lilit [14]3 years ago
4 0

Answer:

x = 12

Step-by-step explanation:

The exterior angles of any polygon always add up to 360, so:

5x+4+4x+9+7x+4+9x-6+4x+1=360\\29x+12=360\\29x = 348\\x = 12

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A software designer is mapping the streets for a new racing game. all of the streets are depicted as either perpendicular or par
ElenaW [278]

The equation of the central street PQ is  -1.5x - 3.5y = -31.5 option (b) is correct.

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

We have a straight line:

-7x+3y=-21.5  

Convert it to the general form given below:

\rm y=mx+c

\rm 3y=-21.5+7x\\\\ \rm y = \frac{-21.5}{3}+\frac{7}{3}x or

\rm y = \frac{7}{3}x-\frac{21.5}{3}

m = \frac{7}{3}   (Slope of AB line)

For the slope(m') of the PQ line:

\rm m'=-\frac{1}{m}    ( because AB and PQ are perpendicular to each other)

\rm m' = -\frac{3}{7}

We know the:

\rm (y-y')=m'(x-x')

Where (x', y') = (7, 6), we get:

\rm (y-6)=-\frac{3}{7} (x-7)

\rm 7(y-6)=-3 (x-7)\\\\\rm 7y-42= -3x+21\\\\\rm 7y= -3x+21+42\\\\\rm 3x+7y=63

\rm -1.5x-3.5y=-31.5   (multiply by -1/2 on both sides)

Thus, the equation of the central street PQ is  -1.5x - 3.5y = -31.5

Learn more about the straight line.

brainly.com/question/3493733

6 0
2 years ago
48 cookies; 25% decrease how do I do it?????
Harrizon [31]
Step One: Find 25% of 48.
Step Two: Subtract that number from 48.

48 * 0.25 = 12
48 - 12 = 36

36 cookies
4 0
3 years ago
Solve x4 – 17x2 + 16 = 0.<br> Let u =<br> Select all of the zeroes of the function. i i
Soloha48 [4]

Solve \ x^4 - 17x^2 + 16 = 0

To solve this equation , we need to write it in quadratic form

ax^2+bx+c=0

To get the equation in quadratic form we replace x^2 with u

x^2 = u

x^4 - 17x^2 + 16 = 0 can be written as

(x^2)^2 - 17x^2 + 16 = 0, Replace u for x^2

So equation becomes

u^2 - 17u + 16 = 0

Now we factor the left hand side

-16  and -1  are the two factors whose product is +16  and sum is -17

(u-16) (u-1) = 0

u -16 = 0  so u=16

u-1 =0  so u=1

WE assume u = x^2, Now we replace u with x^2

u = 16 so \ it \ becomes \ x^2 =16

Now take square root on both sides , x= +4  and x=-4

u = 1 so \ it \ becomes \ x^2 =1

Now take square root on both sides , x= +1  and x=-1

So zeros of the function are -4, -1, 1, 4


8 0
3 years ago
Read 2 more answers
Correct answers only please!
-Dominant- [34]

Answer:

63.4

Step-by-step explanation:

The triangle is right angled , so :

tan S = UT/ST

tan S = 2/1

tan S = 2

S = tan^{-1}2

S = 63.4

5 0
3 years ago
37.392÷0.09 to the nearest hundredth
rosijanka [135]

Answer:

415.47

Step-by-step explanation:

5 0
3 years ago
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