Answer:
- 3 packages of cups
- 4 packages of napkins
Step-by-step explanation:
You need at least enough for 60, so any requirement for a partial package means you need to buy another whole package. The "ceiling" function gives the next higher integer for a non-integer value.
cups = ceiling((60 cups)/(24 cups/package)) = ceiling(2.5) packages
= 3 packages
__
napkins = ceiling((60 napkins)/(18 napkins/package))
= ceiling(3 1/3) packages = 4 packages
The sum of the measures of the angles of a triangle is 180 degrees.
Angles STU and STR are supplementary angles.
Angles R and STR are congruent.
m<STU + m<STR = 180
8x + m<STR = 180
m<STR = 180 - 8x
m<R = m<STR = 180 - 8x
m<RST + m<R + m<STR = 180
7x - 54 + 180 - 8x + 180 - 8x = 180
-9x + 360 = 180
-9x = -126
x = 14
Answer:
The unknown angle is 80
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
Let the unknown angle be x
20+80+x = 180
Add like terms
100+x = 180
Subtract 100 from each side
100-100+x=180-100
x = 80
<span>y-intercept when x = 0
so if x = 0, y = -3
answer
</span><span>y-intercept (0, -3)</span>
MN = √2
it comes from √(1^2 + 1^2) = √2 (use phytagoras)
LK = 2 x MN = 2 √2
NK = √(2^2 + 1^2) = √5
ML = NK = √5
so the perimeter
√2 + 2 √2 + √5 + √5
3 √2 + 2 √5