Answer:
102 degrees.
Step-by-step explanation:
Because the 3.3's are congruent (the same), this triangle is isosceles.
A property of isosceles means that the two angles are congruent.
39+39= 78
This means that the last angle must be 180-78.
<span><span>A.
</span>y= 4 / x</span>
Proportionality or variation is state of relationship or
correlation between two variables It has two types: direct variation or
proportion which states both variables are positively correlation. It is when
both the variables increase or decrease together. On the contrary, indirect
variation or proportion indicates negative relationship or correlation. Elaborately,
the opposite of what happens to direct variation. One increases with the other
variables, you got it, decreases. This correlations are important to consider
because you can determine and identify how two variables relates with one
another.
Notice x = y (direct), y=1/x (indirect)
Problem 7)
The answer is choice B. Only graph 2 contains an Euler circuit.
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To have a Euler circuit, each vertex must have an even number of paths connecting to it. This does not happen with graph 1 since vertex A and vertex D have an odd number of vertices (3 each). The odd vertex count makes it impossible to travel back to the starting point, while making sure to only use each edge one time only.
With graph 2, each vertex has exactly two edges attached to it. So an Euler circuit is possible here.
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Problem 8)
The answer is choice B) 5
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Work Shown:
abc base 2 = (a*2^2 + b*2^1 + c*2^0) base 10
101 base 2 = (1*2^2 + 0*2^1 + 1*2^0) base 10
101 base 2 = (1*4 + 0*2 + 1*1) base 10
101 base 2 = (4 + 0 + 1) base 10
101 base 2 = 5 base 10
This can be solved using the system of equations:
5500 = 1000c + 1500s
5 = c + s
As the first equation can have different combinations, it is the second equation that defines just how much acres or corn or strawberries(or mathematically, it defines the values of c or s in the first equation) there are. Therefore, the equation " 5 = c + s" is the constraint.
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