9.
a 4p + 6q= 8
write down the value of 8p + 12q

b) 20q - 5r = 45
write down the value of 4q -r
(1 mark)
c)
answer
(1 mark)
use your answers to parts a) and b) to write an expression using p. q and r with
value of 41
give your answer in its simplest form.

  a) 16

  b) 9

  c) 16p +28q -r

Step-by-step explanation:

a) The desired coefficients are double those given, so we can multiply the given equation by 2 to get ...

  2(4p +6q) = 2(8)

  8p +12q = 16 . . . . the desired value

__

b) The desired coefficients are 1/5 of those given, so we can divide the given equation by 5 to get ...

  (20q -5r)/5 = 45/5

  4q -r = 9 . . . . the desired value

__

c) There are an infinite number of ways the values 16 and 9 can be combined to get 41. One of the simplest is ...

  2×16 + 9 = 41

Substituting the expressions of part (a) and (b), we get ...

  2×(8p +12q) +(4q -r) = 41

  16p +28q -r = 41

Step-by-step explanation:

4p + 6q = 8 multiply by 2

8p + 12q = 16 <==

20q - 5r = 45 divide by 5

4q - r = 9 <===

not sure I understand this one

can it be something as simple as :

(8p + 12q) + (4q - r) + 16 because this equals 41

     16       +       9     + 16      

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )