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2 answers:
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Answer:
a) 0.900
b) 0.400
Step-by-step explanation:
Let I = households getting internet
T = households getting television
Then I = 60%
and T = 80%
(Households that get both services)
a) Households getting at least one service,
b) Those getting internet only =
Those getting television only =
Probability of getting exactly one service = 0.1 + 0.3 = 0.400
Answer:
:, Segment subtended by the same angle on two adjacent parallel lines are congruent
Step-by-step explanation:
Statement, Reason
MNOP is a parallelogram:, Given
:, Opposite sides of a parallelogram
∠PMO ≅ ∠MON:, Alternate Int. ∠s Thm.
:, Opposite sides of a parallelogram
∠POM ≅ ∠NMO:, Alternate Int. ∠s Thm.
OM ≅ OM:, Reflexive property
:, Segment subtended by the same angle and on two adjacent parallel lines are congruent
Answer:length of side a is 42
Step-by-step explanation:
The given triangle ABC is shown in the attached photo. The length of side BC is a. The length of side AC is b and the length of side AB is c = 100
The sum of the angles in a triangle is 180 degrees. Therefore.
Angle A + angle B + angle C = 180. Therefore,
20 + 35 + angle C = 180
55 + angle C = 180
Angle C = 180 - 55 = 125 degrees. To determine the length if a, we would apply the sine rule which is expressed as
a/SinA = b/SinB = c/SinC
Therefore,
a/Sin20 = 100/Sin125
aSin125 = 100sin20
a × 0.8192 = 0.342 × 100
0.8192a = 34.2
a = 34.2/0.8192
a = 41.75
Approximately 42
