Answer:
<h2>The answer is 1/3. 1 divided by 3 is 1/3</h2>
Step-by-step explanation:
Adjacent angles are angles with a common side and vertex, linear pairs are adjacent angles that are supplementary, and vertical angles are angles made by the same two lines but on opposite sides.
For the first one, 5 and 6 clearly do not share a side but they are made up by the same 2 lines and are opposite of each other, making them vertical.
For the next one, since the angles only share 1 line (and not a side) they can't be any of the above.
Answer:
x = 21°
y = 29°
Step-by-step explanation:
a) Solving for x
Note that:
(3x - 3)° and 60° are Alternate interior angles, and alternate interior angles are equal to each other, hence:
3x - 3 = 60° (Alternate interior angles)
Add 3 to both sides
3x - 3 +3 = 60 + 3
3x = 63°
x = 63°/3
x = 21°
b) Solving for y
Notes that:
(3x - 3)° and (4y + 4)° are Consecutive interior angles and the sum consecutive interior angles is 180°
3x - 3 + 4y + 4 = 180°
3x + 4y - 3 + 4 = 180°
3x + 4y + 1 = 180°
Note that x = 21
Hence
3(21) + 4y + 1 = 180°
63 + 1 + 4y = 180°
64 + 4y = 180°
Subtract 64 from both sides
64 - 64 + 4y = 180° - 64
4y = 116°
y = 116/4
y => 29°
Hello from MrBillDoesMath
Answer: 12, 9
Discussion:
Let x be the first number and y the second number. The form the problem statement:
x + y = 21
x - y = 3
Add the two equations. This gives:
(x + x ) + ( y-y) = 21 + 3 =>
2x + 0 = 24 =>
x = 12
Since x -y =3, substituting in the value of x gives, 12 - y = 3 so y = 9
Thank you,
Mr. B
Answer:
71 (or 7.... read explanation)
Step-by-step explanation:
If you mean | -71 | then it's 71.
If you mean | -7 | then it's 7
Absolute values turn negative numbers into positive numbers.
