Solve the inequality. Graph your solution. m+7 39
1 answer:
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Okay okay okay
Answer:
r =
Step-by-step explanation:
12 - = 5
6 × 12 × r × 6 - = 5 × 6
72r - r = 30
71r = 30
r = 30 ÷ 71
r =
Answer:
Step-by-step explanation:
(x⁴+ax²+b) ÷ (x+1) = x³-x²+(a+1)x-(a+1) remainder b+(a+1)
Since x+1 is a factor, b+(a+1) = 0.
(x³-x²+(a+1)x-(a+1)) ÷ (x+2) = x²-3x+(a+7) remainder -3a-15
Since x+2 is a factor, -3a-15 = 0
a = -5
b = 4
x⁴+ax²+b = x⁴ - 5x² + 4 = (x²-4)(x²-1) = (x+2)(x-2)(x+1)(x-1)
Answer:
Here's what I get.
Step-by-step explanation:
Assume the diagram is like the one below.
Segments AB, BC, and CH are transversals to the sides of the pool table.
BC is also a transversal to AB and CH.
a. Angles we can be sure about
∠ABC — interior opposite angles of transversal BC
∠CBH — interior opposite angles of transversal BC
∠BHC — interior angles of triangle BHC
∠ABK — alternate exterior angles of transversal BC
∠CHG — complementary to ∠CGH
b. Sets of congruent angles
∠ABC ≅ ∠BCH = 66° — interior opposite angles of transversal BC
∠CBH ≅ ∠BCE = 57° — interior opposite angles of transversal BC
∠BHC ≅ ∠GCH = 57° — interior opposite angles of transversal CH
∠ABK ≅ ∠GCH = 57° — alternate exterior angles of transversal BC
One set of congruent angles is {∠ABC, ∠BCH}
Another set is {∠ABK, ∠BCE, ∠BHC, ∠CBH, ∠GCH}
c. Alternate interior angles
Alternate interior angles are a pair of angles on the inner sides of the parallel lines but on opposite sides of the transversal.
The sets of alternate interior angles are {∠ABC, ∠BCH}, {∠ ABC, ∠BCD} {∠BCE, ∠CBH}, {∠CHJ, ∠GCH}
d. Corresponding angles
Corresponding angles are a pair of angles on the same side of parallel lines and on the same side of the transversal.
The diagram has no corresponding angles.
