Answer:
The other number is 2 if the given number is 15.
Step-by-step explanation:
One of the numbers is 15, correct?
Let the other number be x.
15 × x = 30
x = 30/15
x = 2.
Let's check:
15 × 2 = 30.
30 = 30.
Correct!
Answer:
1) 128°
2) 126°
3) 108°
<h2>
Question one:</h2>
The square in the corner means 90°. If you add the interior angles of any triangle together, you get 180. in this case, x is in exterior angle, so you subtract it from 180 to get the interior angle.
38 + 90 + (180-x) = 180
38 + 90 + 180 - x = 180
38 + 90 + 180 - 180 - x = 0
38 + 90 + 180 - 180 = x
128 = x
<h2>
Question two:</h2><h2>
</h2>
again, adding all the interior angles makes 180°. use this to make the equation.
3x + (5x-6) + 90 = 180
3x + 5x - 6 = 90
8x = 96
x = 12.
x isn't the answer the question wants, however. if you look at the drawing, the angle that's supplementary to 5x-6 is the exterior angle. so,
180 - (5x-6) = the answer
180 - 5x + 6 = the answer
substitute x for 12
180 - 60 + 6 = the answer
126 = x
<h2>Question three</h2>
again, adding all the interior angles together makes 180°.
(a + 10) + 44 + (180-2a) = 180
a + 10 + 44 + 180 - 2a = 180
-a + 234 = 180
234 - 180 = a
54 = a
however, the question is looking for the exterior angle, not a. in this case, the exterior angle is 2a, so just multiply 54 by 2.
x = 108
Answer:
Pretty sure it's 90 degrees
Step-by-step explanation:
You can only show 2 halves in a square, because the definition of a half is that there are 2 parts.
Answer:
38.7°
Step-by-step explanation:
You are basically looking at a triangle with a 90° angle (check picture).
Since we are looking for the ramp's angle and are given the length of the opposite and the hypothenuse, we have to solve the following equation:

which is equivalent to
