Square root of 28
explanation:
a^2 + b^2 = c^2
a^2+6^2 = 8^2
a^2+36=64
subtract 36 from both sides
a^2=28
square root both sides
a = square root of 28
Answer:
Step-by-step explanation:
The solution of each question is self-explanatory.
<u>Used properties</u>
- Vertical angles are congruent
- Angle sum property of circle
- Central angle is same as intercepted arc measure
<h3>#8</h3>
- mED = mAB = mAC - mBC = 90° - 52° = 38°
<h3>#9</h3>
- mEA = mBCD = mBC + mCD = 52° + 90° = 142°
<h3>#10</h3>
- mBDC = 360° - mBC = 360° - 52° = 308°
Since the horizontal lines are parallel, we know from similar figures that the ratios are proportional.
when
24/x=36/12, or
24 36
-- = ---
x 12
We divide the product of diagonals with numbers (24*12) by the number across from x (36) to get the value of x, i.e.
x=(24*12)/36=288/36=8
Answer:
There are no sets S, T for which
holds
Step-by-step explanation:
Let the set A be
By de De Morgan's Law
But
We conclude that
which is a contradiction because no set is equal to its complement.
Answer:
87.5
Step-by-step explanation:
By completing the square,
y
=-14x^2+70x
=-14(x^2-5x)
=-14(x-5/2)^2+175/2
the max. height=175/2
i.e. 87.5
