Answer:
120 + 3.5x≤ 190
Step-by-step explanation:
Add up all the costs
80+ 10+10+20 + 3.50x where x is the number of cupcakes
Combine like terms
120 + 3.5x
This must be less than or equal to 190
120 + 3.5x≤ 190
Answer:
it should be 650
=
1.5
%
=
0.015
16
y
e
a
r
s
=
0.015
Step-by-step explanation:
If H is the circumcenter, then each of EH, FH, and GH are perpendicular bisectors of the legs BC, CD, and DB, respectively. So, for instance, EH cuts BC in half so that BE and EC have the same length.
Also, BH, CH, and DH are radii to the circumcircle of the triangle, so they all have the same length.
(1) CD = CF + FD = 2 • FD = 2 • 32 = 64
(2) CE = BE = 26
(3) HD = HC = 33
(4) GD = 1/2 • BD = 1/2 • 58 = 29
(5) By the Pythagorean theorem,
HG² + GD² = HD²
so
HG = √(33² - 29²) = 2 √(62)
(6) Similar to (5); by the Pythagorean theorem,
HF² + FD² = HD²
so
HF = √(33² - 32²) = √(65)
4.That first one sounds familiar; I think I did it yesterday.
The sides don't matter (except that they're equal) so the base angle b satisfies
b + b + 38 = 180
2b = 142
b = 71
Choice a
5.
42 + 42 + v = 180
v = 180 - 84 = 96
choice d
6. That's three acute angles, an acute triangle
7. We need to satisfy the triangle inequality which means the sum of the two smaller sides needs to be bigger than the largest
10+15>24 so choice b
8.
SRT = RTS = 180 - STU
3x - 50 = 180 - 7x
10 x = 230
x = 23
choice a
