Answers:
First option: [-2,-1]
Second option: [-1,0]
Third option: [0,1]
Sixth option: [3,4]
Please, see the attached files.
Thanks.
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:
Object will reach the max height in 10 seconds.
Max. height is 1817.
It will hit the ground in 20 seconds.
Step-by-step explanation:
In order to find the x value which makes the function take its greatest value, you need to take the derivative of the function and equalize the result to 0.
h'(t)=-12t+120=0
t=10
The object will reach its maximum height in 10 seconds.
h(10) (maximum height) = 6.10.10+120.10+17= 600+1200+17=1817
Considering this is a parabola, time in total is two times more than the time passed until reaching the max. height.
10.2=20
Answer:
1,038 in2
Step-by-step explanation:
In a regular hexagon, the radius and side length are equal in length... That makes the answer 1038 in.2 correct?
Answer:
y=1/2x+2
Step-by-step explanation:
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