L=(P-2W)/2 HOPE I HELPED YA :)
The opposite angles of an inscribe quadrilateral are supplementary.
angle P + angle R = 180
6x + 7 + 12x + 11 = 180
18x + 18 = 180
18x = 162
x = 9
Now we will substitute in the value of x to find angle P and R.
angle P = 6(9)+7 = 61
angle R = 12(9)+11 = 119
Now we will find the value of y.
angle Q + angle S = 180
10y + 7 + 3(3y + 7) = 180
10y + 7 + 9y + 21 = 180
19y + 28 = 180
19y = 152
y = 8
Now substitute in the value of y to find angle Q and S.
angle Q = 10(8)+7 = 87
angle S = 3(3*8+7) = 93
Hope this helps :)
The blank spaces in the task content can be filled with; Substitution property, 90° and subtraction property.
<h3>What are the missing statements in the proof?</h3>
Since it follows from the vertical angles theorem that angle 1 = angle 4 as they are congruent.
Additionally, angles 1 and 2 are said to be complementary and hence, the sum of their measures is equal to 90°.
Finally, by virtue of the subtraction property of equality, the measure of angle 2 is; 90° - 40° = 50°.
Read more on complementary angles;
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The smallest possible value of z is the denominator of the reduced fraction x/y. We note the prime factors of the members of set y are
... 2², 7, 2³, 3²
so if there are any even members of set x, the fraction can be reduced to something divided by 2. The number 6 in set x is even, so we have
... 6z/4 = 6·2/4 = 3 (an integer) when z=2
The lowest possible value of z is ...
... B) 2
Answer:
option C
Step-by-step explanation:
given,
ROE = 20 %
dividend payout ratio = 70%
paid = $ 2.00
value of current stock if required return is 18% = ?
g = (1 - payout ) x ROE
= (1 - 0.7 ) x 20%
= 6 %
dividend = 2 (1 + growth rate)
= 2 x (1 + 0.06) =$ 2.12
as current value of stock
= 
= 
= $17.67
hence, the correct answer is option C
