Step-by-step explanation:
the angle CDB is the supplementary angle to 9x+10 (angle ADC).
that means they stand together for 180°. as all angles around a single point on one side of a line are together always 180°.
and then, the sum of all angles in a triangle is always 180°.
so,
CDB + (4x + 10) + 50 = 180
CDB = 180 - (9x + 10) = 180 - 9x - 19 = 170 - 9x
therefore,
(170 - 9x) + (4x + 10) + 50 = 180
170 - 9x + 4x + 10 + 50 = 180
-5x = -50
5x = 50
x = 10
angle CDB = 170 - 9x = 170 - 90 = 80°
Answer:
- 2 - 3i
Step-by-step explanation:
given a complex number a + bi
then the conjugate is a - bi
The real part a remains unchanged while the sign of the imaginary part is reversed.
the conjugate of - 2 + 3i is - 2 - 3i
Answer:
86.5 square inches
Step-by-step explanation:
Area of circle: pi*r^2
10.5in /2= 5.25in
5.25^2=27.5625
27.5625*3.14=86.54625
rounded 86.5 in
Answer:
Explanation:
19.
P = 2(x - 3 + 7x + 1)
= 2(8x - 2)
= 16x - 4
20.
P = 3y + 5 + y - 4 + 6y
= 10y + 1