Answer:
the answer is attached in the picture
We are given:
- Parallelogram CDEF
- ∠C = 13x - 10
- ∠D = 5x + 10
To Find: ∠E
Concept Used:
- Adjacent angles of a Parallelogram are Supplementary
Finding the value of 'x':
Since adjacent angles of a parallelogram are Supplementary:
∠D + ∠C = 180
5x + 10 + 13x - 10 = 180 [replacing the values of angle C and D]
18x = 180
x = 10 [dividing both sides by 18]
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Finding Measure of Angle D:
We are given that:
∠D = 5x + 10
∠D = 5(10) + 10 [since x = 10]
∠D = 60°
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Finding the measure of ∠E:
∠D and ∠E are Adjacent angles
Since Adjacent angles are Supplementary:
∠D + ∠E = 180
60 + ∠E = 180
∠E = 120° [subtracting 60 from both sides]
Hence, the measure of ∠E = 120°
Answer:
0.6545
Step-by-step explanation:
Let 
be probability of being on time and 
the probability of being satisfactory. We have conditional probability here since being satisfactory depends on being on time. Conditional probability states
where
is the probability of 
given that 
has occurred;
is the probability of and .
Rearranging, we have
- Increase = 20 - 15 = 5 points
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To find the area of a triangle, you have to multiply the height and the base length, and divide that by two.
In this question, the height is 3 square units and the base length is 4 square units.
Therefore, to find the area, you must multiply 3 by 4, which is 12, and then divide this by 2, which is 6.
So the area of this triangle is 6 square units.
