Given:
and
are complementary angles.

To find:
The measure of
.
Solution:
According to the definition of the complimentary angles, the sum of two complementary angles is always 90 degree.
It is given that,
and
are complementary angles. So,




Therefore, the measure of
is 58°.
Answer:
s = 17 units
Step-by-step explanation:
The Pythagorean theorem applies:
8^2 + 15^2 = s^2
64 + 225 = s^2
289 = s^2
√289 = 17 = s
The value of s is 17 units.
Answer:
A
Step-by-step explanation:
there is a common ratio between consecutive terms , that is
- 12 ÷ - 3 = - 48 ÷ - 12 = - 192 ÷ - 48 = 4
this indicates the sequence is geometric with nth term
= a₁ 
where a₁ is the first term and r the common ratio
here a₁ = - 3 and r = 4 , then
a₈ = - 3 ×
= - 3 × 16,384 = - 49,152
Answer:
x = -7 ±3i
Step-by-step explanation:
(x+7)^2+9=0
Subtract 9 from each side
(x+7)^2+9-9=0-9
(x+7)^2=-9
Take the square root of each side
sqrt((x+7)^2) = ±sqrt(-9)
We know sqrt(ab) = sqrt(a) sqrt(b)
x+7 = ±sqrt(-1) sqrt(9)
We know that sqrt(-1) is the imaginary number i
x+7 = ±i *3
x+7 =±3i
Subtract 7 from each side
x+7-7 = -7 ±3i
x = -7 ±3i