a) Two angles are said to be complementary if their sum is equal to 90°
Given : 2x and 4x are complementary angles
⇒ 2x + 4x = 90°
⇒ 6x = 90°
⇒ x = 15°
<u>Answer</u>: The two angles are : 30° and 60°
b) Two angles are said to be supplementary if their sum is equal to 180°
Given : x and 5x are supplementary angles
⇒ x + 5x = 180°
⇒ 6x = 180°
⇒ x = 30°
<u>Answer: </u>The two angles are : 30° and 150°
c) Two angles are said to be complementary if their sum is equal to 90°
Given : x and x + 50° are complementary angles
⇒ x + x + 50° = 90°
⇒ 2x = 40°
⇒ x = 20°
<u>Answer:</u> The two angles are : 20° and 70°
d) If two angles form a linear pair, then the sum of the angles should be equal to 180°
Given : 2x + 10° and 3x + 10° form a linear pair
⇒ 2x + 10° + 3x + 10° = 180°
⇒ 5x = 160°
⇒ x = 32°
⇒ 2x + 10° = 2(32) + 10° = 74°
⇒ 3x + 10° = 3(32) + 10° = 106°
<u>Answer:</u> The two angles are 74° and 106°
Answer:
11
Step-by-step explanation:
1. 6 + (-9) + 14
2. subtract 9 from 6 to get -3
3. -3 +14
4. subtract 14 - 3 to get 11.
A=-32 (acceleration is the constant g) integrating with respect to t
v=-32t+vi but initial velocity is equal to zero as it is just "dropped".
h=-32t^2/2+hi, since the initial height is 144 ft
h(t)=-16t^2+144
The object will be at the ground when h(t)=0
-16t^2+144
-16(t^2-9)=0
-16(t+3)(t-3)=0, but since we know t>0
t=3 seconds.
You'd find the vertical asymptotes by seeing where the denominator equals zero; you can do so by factoring the denominator.
In this case, you can factor the denominator into (x+3)(x+2), so if you set each of those equal to zero you can find the equations of the vertical asymptotes (x=-3 and x=-2).
Answer:
Orange juive=3
Apple juice=4
water=5
3+4+5=12
12÷4
=3
Step-by-step explanation:
3 gallons of liquid
