Answer:
<h2>
30° and 150° </h2>
Step-by-step explanation:
α - one angle
2α - two times measure of angle α
2α + 30° - second angle
Paralleogram has two pairs of angles of the same measure.
Sum of interior angles of any quadrangle is 360°
Therefore:
2×α + 2×(2α + 30°) = 360° {divide both sides by 2}
α + 2α + 30° = 180° {subtract 30° from both sides}
3α = 150° {divide both sides by 3)
α = 50°
2α+30° = 2×50° + 30° = 130°
Answer:
B
Step-by-step explanation:
pretty sure its b.......
Answer:
Step-by-step explanation:
Let us denote probability of spoilage as follows
Transformer spoilage = P( T ) ; line spoilage P ( L )
Both P ( T ∩ L ) .
Given
P( T ) = .05
P ( L ) = .08
P ( T ∩ L ) = .03
a )
For independent events
P ( T ∩ L ) = P( T ) x P ( L )
But .03 ≠ .05 x .08
So they are not independent of each other .
b )
i )
Probability of line spoilage given that there is transformer spoilage
P L/ T ) = P ( T ∩ L ) / P( T )
= .03 / .05
= 3 / 5 .
ii )
Probability of transformer spoilage but not line spoilage.
P( T ) - P ( T ∩ L )
.05 - .03
= .02
iii )Probability of transformer spoilage given that there is no line spoilage
[ P( T ) - P ( T ∩ L ) ] / 1 - P ( L )
= .02 / 1 - .08
= .02 / .92
= 1 / 49.
i v )
Neither transformer spoilage nor there is no line spoilage
= 1 - P ( T ∪ L )
1 - [ P( T ) + P ( L ) - P ( T ∩ L ]
= 1 - ( .05 + .08 - .03 )
= 0 .9
Answer:
A
Step-by-step explanation:
Answer:
if those measurements are degrees, then yes. If those measurements are the side lengths, then no.
Step-by-step explanation:
all angles on a triangle must had up to 180 degrees.
the two smaller sides of the triangle must add up to be larger than the largest side.
