Answer:
x = 7, arc DE = 198°
Step-by-step explanation:
Inscribed angles from the same arc are congruent.
∠ DCE and ∠ DWE are inscribed angles from the same arc DE , thus
12x + 15 = 3x + 78 ( subtract 3x from both sides )
9x + 15 = 78 ( subtract 15 from both sides )
9x = 63 ( divide both sides by 9 )
x = 7
Thus
∠ DCE = 12x + 15 = 12(7) + 15 = 84 + 15 = 99°
The inscribed angle DCE is half the measure of its intercepted arc, thus
arc DE = 2 × 99° = 198°
64% of 75 = 64/100 x 75 = 48 <==== answer
Answer:
1421/576
Step-by-step explanation:
Sum = - 13/8 + 5/12 = - 39/24 + 10/24 = - 29/24
Difference = - 13/8 - 5/12 = - 39/24 - 10/24 = - 49/24
Sum * Difference = (-29/24)*(-49/24) = 1421/576
Answer:
The discriminant of ax^2+bx+c is b^2-4ac.
If the discriminant, d, is:
d<0, there are no real solutions (there are two imaginary solutions however)
d=0, there is one real solution
d>0, there are two real solutions
In this case d=16-32=-16 so there are two imaginary solutions. Or from your answer choices, it can be said that there are no real number solutions becuse the discriminant is less than zero.
