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grin007 [14]
3 years ago
11

Solve the inequality. y <6 y>x+3

Mathematics
1 answer:
ad-work [718]3 years ago
8 0
The "solution" has the form of  a graph.  First, graph the line y=6 using a dashed (not solid) line.  Shade the plane below this line.

Next, graph y = x-3, using a dashed line.  This line has a y-intercept of (0,-3) and a slope of 1.  Shade the area above this line.

The solution set is the area that has been shaded twice, once for each of the 2 given inequalities.

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#18 i can't figure this out
Anon25 [30]

Answer:

∠Q = 75 °

Step-by-step explanation:

Since PR = PQ then Δ PQR is isosceles and the base angles are congruent, that is

∠R = ∠Q = 2x + 15

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

2x + 15 + 2x + 15 + x = 180, that is

5x + 30 = 180 ( subtract 30 from both sides )

5x = 150 ( divide both sides by 5 )

x = 30

Hence

∠Q = 2x + 15 = (2 × 30) + 15 = 60 + 15 = 75°

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