Use ratio and proportion:
$29.50 is to 250 ft. as how much is to 40 ft.
29.5 / 250 = x / 40
x = 40(29.5) / 250
x = 1180 / 250
x = 4.72
40 ft. would cost $4.72
They charge $30 per month as a base so that is y
They also charge $0.25 per text message, this is x
so $0.25x+$30y=$59.50
first subtract 30 from both sides to get x alone
$0.25x=$29.50
To find amount of text messages sent, we have to divide
$29.50/$.25
29.50/.25=118
This person sent 118 text messages
<u>Part</u><u> </u><u>(</u><u>i</u><u>)</u>
1) AB is perpendicular to BC, ED is perpendicular to CD, BC = CD (given)
2) Angles ABC and CDE are right angles (perpendicular lines form right angles)
3) Angles ABC and CDE are equal (all right angles are equal)
4) Angles ACB and DCE are equal (vertical angles are equal)
5) Triangles ABC and EDC are congruent (ASA)
<u>Part</u><u> </u><u>(</u><u>ii</u><u>)</u>
6) AB = DE (corresponding parts of congruent triangles are equal)
C. 18 hours of my sleep I