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Lesechka [4]
3 years ago
5

Please could someone help me with these questions sorry about the scribbling on one page I got stuck

Mathematics
1 answer:
Sloan [31]3 years ago
8 0
Question 4
So the polygon has 10 sides, to calculate how much all the interior angles are summed up, you have to see how many triangles you can fit into the polygon (this works for any polygon), in this case it is 8 (see file attached). Therefore you do 8 x 180 = 1440, so the overall angle is 1440º. Now you do 1440 : 10, because there are 10 equal angles, and that is 144º. 
Every angle has 144º

question 5
Bearings are always measured clockwise and you always start north. You are at point A and want to go to point B, how much do you have to turn (clockwise!!)? 
345º

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Solve for x. (Geometry)
GaryK [48]

Hello from MrBillDoesMath!

Answer:   9

Discussion

By the Pythagorean theorem, the length of the third side (the hypotenuse) in the triangle with sides 4 and 6 is sqrt ( 4^2 + 6^2) = sqrt (52)

Applying Pythagoras to the left most triangle (sides, x and 6) gives:

x^2 + 6^2 = m^2     (I am calling the unknown side "m)

Finally, in the big right triangle (the one containing the two right triangles)

(x + 4) ^2  =   (sqrt(52)) ^2  + m^2


OK!   Subtract the first equation from the second:

   (x+4)^2             = 52 + m^2

   x^2     + 36      =          m^2

-----------------------------------------------------


( x+4)^2 - x^2 - 36 = 52 + (m^2 - m^2)  =>

x^2 + 8x + 16  - x^2 -36 = 52  =>

x^2 - x^2 + 8x + 16 -36 = 52 =>

0 +              8x - 20       = 52 =>

8x = 72 =>

x = 9




Thank you,

MrB

4 0
3 years ago
Which function matches g? Two hook shaped graphs, f and g, on a coordinate plane. The graph of f has three line segments: negati
avanturin [10]

Answer:

Option (2).

Step-by-step explanation:

Coordinates of points A(-2, 2), B(-1, -1), C(-1, 4) and (0, -2)

By using formula to get the length of any segment having extreme ends at (x_1,y_1) and (x_2,y_2),

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Length of segment AB = \sqrt{(-2+1)^2+(2+1)^2}

                                      = \sqrt{10} ≈ 3.16

Length of segment CD = \sqrt{(0+1)^2+(-2-4)^2}

                                      = \sqrt{37} ≈ 6.08

Length of CD ≈ 2(length of AB)

But length of horizontal segments are equal.

Therefore, function 'f' is vertically stretched to form 'g'.

g(x) = 2f(x)

Now 'f' is translated by 1 unit right,

g(x) = 2f(x - 1)  

Option (2) will be the answer.

8 0
3 years ago
Tiana uses the equation c equals 21h to figure out the total amount,c, she should charge a costumer for babysitting for h hours.
Virty [35]

Answer;sorry I don't know

4 0
3 years ago
Solving for Unknown Angles
Rom4ik [11]

Answer:

x=11

Step-by-step explanation:

x=11 because, 6x+8= 74, so you do 74-8=66 and 66/6= 11. so x=11,

the measure of 2 is 7(11)-2+m=106.

so you add 2 on both sides to cancel it out, and you end up with 7(11)+m=108

now you do 7(11)= 77, and you subtract from both sides and get 31.

therefore, m=31.

hope this helps!

6 0
3 years ago
Read 2 more answers
Solving 2 step & multi step equations
Artist 52 [7]
3x + x - 2 = -14
Add two to both sides
3x + x = -12
4x = -12
x= -3
8 0
3 years ago
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