Answer:
w<33/4
Step-by-step explanation:
8w-35<3-(5-4w)
8w-35<3-5+4w
8w-35<-2+4w
8w-4w-35<-2
4w-35<-2
4w<-2+35
4w<33
w<33/4
Answer:
The two triangles are related by Side-Side-Side (SSS), so the triangles can be proven congruent.
Step-by-step explanation:
There are no angles that can be shown to be congruent to one another, so this eliminates all answer choices with angles (SSA, SAS, ASA, AAA, AAS).
This leaves you with either the HL (Hypotenuse-Leg) Theorem or SSS (Side-Side-Side) Theorem. We could claim that the triangles can be proven congruent by HL, however, we aren't exactly sure as to whether or not the triangles have a right angle. There is no indicator, and in this case, we cannot assume so.
This leaves you with the SSS Theorem.
Answer:
11
Step-by-step explanation:
The two equations appear to be ...
- 12x +4y = 152
- 32x +12y = 420
These can be solved for y using Cramer's rule:
y = (152(32) -420(12))/(4(32) -12(12)) = -176/-16 = 11
The cost of the vegetarian lunch is 11.
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<em>Comment on Cramer's Rule</em>
For equations ...
ax +by =c
dx +ey = f
The solutions are ...
x = (bf -ey)/(bd -ea)
y = (cd -fa)/(bd -ea) . . . . note the denominators are the same expression
Once you memorize the pattern of products, this can be the simplest way to solve a pair of equations--especially if you only need one of the variable values.
Okay, I will start talking you through it, it'll be quick but I need your response. Just leave a comment! Loves,
-Brainiac224
