Step-by-step explanation:
(i) 5 ≤ 2x − 4 ≤ 8 add 4 to all three expressions
9 ≤ 2x ≤ 12 divide by 2
9/2 ≤ x ≤ 6
(ii) −10 < (4 −3y)/− 5 ≤ 4 multiply all sides by -5
-20 ≤ 4 - 3y < 50 subtract 4
-24 ≤ -3y < 46 divide with -3
-46/3 < y ≤ 8
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8 is the maximum she can buy
50-10=40
40/4.5=8.88888
8*4,5=36
Answer:
(i) x° = 28°
(ii) y° = 104°
(iii) z° = 76°
Step-by-step explanation:
x° is an alternate interior angle where transversal PQ crosses the parallel lines, so it has the same measure as the one marked 28°.
x° = 28°
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The base angles of isosceles triangle PQR are both z°, so we must have ...
z° +z° +28° = 180° . . . . . . . . . sum of angles in a triangle
z° = (180° -28°)/2 = 152°/2 . . . solve for z
z° = 76°
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y° and z° are a linear pair, so ...
y° = 180° -76°
y° = 104°
