Answer:
The correct option is;
45°
Step-by-step explanation:
By angle sum theorem, we have that the sum of angles in a triangle = 180°
Therefore, we have;
When the interior angles of the triangle are constructed to be 60° and 75°, we have by the angle sum theorem;
The third angle + 60° + 75° = 180°
Which gives;
The third angle = 180°- 60° - 75° = 180°- 135° = 45°
The measurement of the third angle by the angle sum theorem will be 45°
The correct option is ∠third angle = 45°.
Answer:
The probability is 10/121
Step-by-step explanation:
In this question, we are tasked with calculating probability.
The probability to be calculated is that we have an ordered selection of picking a red marble after which we pick a yellow marble.
Firstly let us know the total number of marbles we have. That will be 4 + 5 + 2 = 11 marbles
Probability of picking a red marble will be 5/11 while the probability of picking a yellow marble will be 2/11
Now, the probability of picking a red marble before a yellow marble will be mathematically equal to; P(r) * P(y) = 5/11 * 2/11 = 10/121
Answer:
Step-by-step explanation:
Given
Required
Find Y
To do this, we make use of the mid-point formula
i.e.
WX and ZY are the diagonals of the parallelogram.
The mid-point of WX is:
The mid-point of ZY is:
Equate both values of M
Multiply both sides by 2
By comparison:
Hence:
