GiveN:
To FinD:
Step-wise-Step Explanation:
Complementary angles are angles that add upto 90°. They need not to be adjacent Always
According to question, Angle P = 2(Angle M) + 3°. And they add upto 90°.
⇒ Angle P + Angle M = 90°
⇒ 2(Angle M) + 3° + Angle M = 90°
⇒ 3 Angle M + 3° = 90°
⇒ 3 Angle M = 87°
⇒ Angle M = <u>29°</u>
Then, Angle P = 2(29°) + 3° = <u>61°</u>. Hence, the two complementary angles are 29° and 61°.
Answer:
(0, 7)
Step-by-step explanation:
Given:
J(-4, 11)
K(8, -1)
JP:JK = 1/3
Required:
Coordinates of P
SOLUTION:
Use the formula, to find the coordinates of point P, that partition the segment JK into the ratio 1/3.
Let,
Thus, plug in the values as follows:
The coordinates of point P, are (0, 7)
Answer:
a
Step-by-step explanation:
Given
3(x + 3)² - 81 = 0 ( add 81 to both sides )
3(x + 3)² = 81 ( divide both sides by 3 )
(x + 3)² = 27 ( take the square root of both sides )
x + 3 = ± = ± 3
( subtract 3 from both sides )
x = - 3 ± 3
x = - 3 - 3 or x = - 3 + 3
→ a