It is possible to see that the angle DCB is a right angle. It is also seen that sides CD and CB are congruent. So, the measure of angles CDB and CBD is the same. Since the sum of the three angles must be equal to 180°, the angle CDB must be equal to 45°.
∠CDB + ∠CBD + ∠DCB = 180°
∠CDB + ∠CBD + 90° = 180° (Replacing the value of angle DCB)
∠CDB + ∠CBD = 180° - 90° (Subtracting 90° on both sides of the equation)
∠CDB + ∠CBD = 90° (Subtracting)
2*∠CDB = 90° (Since ∠CDB = ∠CBD )
∠CDB = 90°/2 (Dividing by 2 on both sides of the equation)
∠CDB = 45°
Let a and b be the numbers,then a+b=32,b=32-a
ab=-320
a(32-a)=-320
32a-a^2=-320
a^2-32a-320=0
a^2-40a+8a-320=0
a(a-40)+8(a-40)=0
(a-40)(a+8)=0
a=40 or-8
when a=40,b=32-40=-8
when a=-8,b=32-(-8)=32+8=40
so numbers are 40 and -8
Answer:
[6, infinity)
Step-by-step explanation:
The slope of the line is .75, so 1. is false.
The graph is a dashed line AND the area above it shaded, so 2. is false (in and of itself)
The graph is the area shaded above the line not below it, so 3. is false.
0>.75(0)-2, 0>-2 so 4. is TRUE
The line is dashed and is not part of the solution to the inequality, so the point (0,-2) while on the line, is not part of the solution set and thus is not part of the graph, and does not intercept the graph, so 5. false. (the line intercepts the y axis at (0, -2) but the line itself is not part of the solution set and thus is not part of the graph)
So only statement 4. is true.
1/216 is the correct answer