Page 11 10.
(a)
The owner of a shop wishes to buy x guitars and y violins. To satisfy the demands of
his customers, the number of violins must be less than or equal to the number of guitars.
Write an inequality to represent this information.
(1 mark)
The cost of one guitar is $150 and the cost of one violin is $300. He has $4 500 to
spend on the purchase of these instruments.
(ii) Write an inequality to represent this information.
(2 marks)
To get a good bargain, the owner of the shop must buy at least 5 violins.
(iii) Write an inequality to represent this information.
(1 mark)

2? if not the correct answer you might need to provide more information

step-by-step explanation:

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)