Answer:
There was $46.50 left in change.
Step-by-step explanation:
4 (people) x 8 (ticket cost) + 4 (people) x 3.50 (drinks) + 7.50
= 32 + 14 + 7.50
= 53.5
100 - 53.5
= 46.50
(8, 9) will be the midpoint of the segment.
You can find this by applying the formula
(x1 + x2)/2 , (y1 + y2)/2
Answer:
x = 25
Angle B = 65 degrees
Angle C = 50 degrees
Step-by-step explanation:
All triangles will add up to 180 degrees.
65 + 3x - 10 + 2x = 180
Combine like terms
55 + 5x = 180
Subtract both sides by 55
5x = 125
Divide both sides by 5
x = 25
Plug in the value for x in angle B:
3(25) - 10
75 - 10
65
Do the same for angle C:
2(25)
50
Check your work:
65 + 65 + 50 = 180
180 = 180
Correct
<span>To find the next week in which all three coincide, look for the lowest common multiple of the numbers 2,3, and 6. Two has multiples of (2,4,6,8,10,12), three has (3,6,9,12,15,18), and 6 has (6,12,18,24). The lowest number that is common to all three values is 6, so Clea will attend all three in the same week 6 weeks from now.</span>
Answer:
8
Step-by-step explanation:
base x height / 2 = the area
4 x h / 2 = 16
h = 8
so x is 8