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bezimeni [28]
2 years ago
5

A woman prospecting for successful business travels 16km from a point P to a point Q on a bearing of 065°. She then travels to p

oint R, a distance 12km on a bearing 325°. Calculate PR
Mathematics
1 answer:
SashulF [63]2 years ago
8 0

Answer:

The distance PR is 21.6 Km

Step-by-step explanation:

Please find the attached document for explanation.

Also, I applied Cosine rule to determine the distance PR, since  i have an angle (Q) in between two given sides of the triangle.

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Please help and explain why!
scoundrel [369]
1) The measures of the opposite angles of an inscribed quadrilateral are supplementary, add up to 180.

That means that angle ROP and angle RQP are supplementary.

We can add them and set them equal to 180 so that we can solve for x first.

∠ROP + RQP = 180
x + 17 + 6x - 5 = 180
7x + 12 = 180
7x = 168
x = 24

Now use the 24 for x and solve for the measure of angle ROP.

∠ROP = x + 17
∠ROP = 24 + 17
∠ROP = 41

The answer is A

2) The answer is A.

Hope this helps :)
4 0
3 years ago
What is the what is the simplest form for 13/ 51
Assoli18 [71]
That is the simplest form
8 0
3 years ago
Read 2 more answers
I really need help plz
scoundrel [369]
The answer is choice A.

In this problem, we are shrinking the poster by 1/4 of its size.

Which means you need to divide the sides by 4
For width:
w =  \frac{32}{4}  = 8
For length:
l =  \frac{28}{4}  = 7


4 0
3 years ago
Sarah borrows £500 for 2 years at a rate of 15% to buy a
andrew11 [14]

Answer: 150 pounds

Step-by-step explanation:

3 0
3 years ago
Solve the system ... y=3x-8 and y=-9x+4
natita [175]
1] y - 3x = -8
[2] y + 9x = 4

-3x + y = -8 9x + y = 4

Solve equation [2] for the variable y


[2] y = -9x + 4

// Plug this in for variable y in equation [1]

[1] (-9x+4) - 3x = -8
[1] - 12x = -12
// Solve equation [1] for the variable x


[1] 12x = 12

[1] x = 1
// By now we know this much :

y = -9x+4
x = 1
// Use the x value to solve for y

y = -9(1)+4 = -5

{y,x} = {-5,1}
7 0
2 years ago
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