Answer:
52
Step-by-step explanation:
2 x 4y = 12.4
4y = 6.2
y = 6.2/4
= 1.55
hope this helps
Step-by-step explanation:
Work out the value of x.
<h3>#12</h3>
<u>The angles are supplementary as same side interior angles, sum to 180°:</u>
- x + x - 26 = 180
- 2x = 206
- x = 103
<h3>#13</h3>
<u>The angles are corresponding, hence congruent:</u>
- 3x - 5 = x + 55
- 3x - x = 55 + 5
- 2x = 60
- x = 30
<h3>#14</h3>
<u>The angles are supplementary as same side interior angles, sum to 180°:</u>
- 2x + 24 + x = 180
- 3x = 180 - 24
- 3x = 156
- x = 52
<h3>#15</h3>
<u>The angles are corresponding, hence congruent:</u>
- 4x - 12 = 3x + 6
- 4x - 3x = 6 + 12
- x = 18
<h3>#16</h3>
<u>Corresponding with the right angle:</u>
- 4x + 12 = 90
- 4x = 78
- x = 19.5
<h3>#17</h3>
<u>Vertical angle of the bottom angle is supplementary with the top angle:</u>
- 2x + 12 + 3x + 23 = 180
- 5x + 35 = 180
- 5x = 145
- x = 49
Answer: $2.40
Step-by-step explanation:
If Kevin gets 12 dollars for every 5 problems, we will need to divide 12 by 5 to find the unit rate; how much Kevin gets for each problem.
12 ÷ 5 = 2.4, and in dollars it is equal to $2.40. Because of this, Kevin is paid $2.40 for each problem he makes for the ST2 publishing Company.
Answer:
Minimum length of rope needed to span the sides of the prism is 10 units.
Step-by-step explanation:
Let us draw a perpendicular from apex to base BC,Let it be AD since ΔABC is isosceles triangle, that perpendicular will touch mid of base. That is BD=DC=
=3
Now we know the angle m∠ABC as 53.13°.
From ΔADC, 
≈10
Hence minimum length of rope needed to span the sides of prism is 10 units.
