Answer:
m∠P = 65°
Step-by-step explanation:
An Isosceles triangle has two sides of equal length and two interior angles of equal measure.
Sum of interior angles of a triangle = 180°
If QO ≅ PQ and the enclosed m∠Q = 50° then m∠P ≅ m∠O
⇒ m∠Q + m∠P + m∠O = 180
⇒ 50 + m∠P + m∠O = 180
⇒ m∠P + m∠O = 130
As m∠P ≅ m∠O:
⇒ m∠P = 130 ÷ 2 = 65°
<h3>
Answer: E) 8i</h3>
Explanation:
By definition, i = sqrt(-1)
Which means,
sqrt(-64) = sqrt(-1*64)
sqrt(-64) = sqrt(-1)*sqrt(64)
sqrt(-64) = i*sqrt(8^2)
sqrt(-64) = i*8
sqrt(-64) = 8i
On the second line, I used the rule sqrt(x*y) = sqrt(x)*sqrt(y). The fourth line used the rule sqrt(x^2) = x when x is nonnegative.
Answer:
C : $58.36
Step-by-step explanation:
Given:
A store holiday sale has an item marked down by $10.
Discount on new price = 25%
Final price was $36.27.
Question asked:
what was the original ?
Solution:
Let original price = 
New price = 
Original price - marked down amount - discount amount = $36.27
Adding both side by 7.5
Dividing both side by 0.75
Therefore, the original price was $58.36
Answer:
<h2>C & D are both, and only correct.</h2>
Step-by-step explanation:
a.)
5x + 10 = 12
x = 2/5 NOT 5/2, so this is in fact INCORRECT.
b.)
3x + 10 = 8
x = - 2/3 NOT 2/3, This too is INCORRECT.
c.)
9x + 15 = 36
x = 7/3. This is CORRECT!
d.)
8x + 12 = 24
x = 3/2. This is CORRECT!
