Answer:
y = 108°
Step-by-step explanation:
Since AB and CD are parallel lines, then
3x - 12 and 2x + 16 are corresponding angles and congruent, thus
3x - 12 = 2x + 16 ( subtract 2x from both sides )
x - 12 = 16 ( add 12 to both sides )
x = 28
Thus
3x - 12 = 3(28) - 12 = 84 - 12 = 72°
y and 3x - 12 are adjacent angles and supplementary, thus
y = 180° - 72° = 108°
13 cm (approximately)
Step-by-step explanation:
Let the radius of the circle be 'r'.
Area of the circle = πr²
=> 132.7 = (22/7) r²
=> 6.5 ≈ r
Therefore, diameter = 2radius = 2(6.5) = 13 cm
Formula:
<span><span>
</span>
<span>
<span>Note: , where nPr is the formula for permutations of n objects taken r at a time.</span>
</span>
<span>
Example:
<span>How many different committees of 4 students can be chosen from a group of 15?
</span>
</span>
<span>
Answer:
<span>There are possible combinations of 4 students from a set of 15.</span>
</span>
<span>
<span>
There are 1365 different committees.</span></span></span>
Answer:
H
Step-by-step explanation:
I have done the work before
