Answer:
A) 7
Step-by-step explanation:
Because the triangles are congruent to each other, then their corresponding angles are also congruent to each other. Thus, angles Z and V are congruent to each other:

Therefore, your answer is A.
25 = 5^2
90 = 2 . 3 . 3 . 5
GCF is not as greedy as LCM.
GCF is just on a diet, so it takes the same number and the smallest amount.
25 and 90 both have 5.
5^2 or 5 ?
Take the smaller one.
GCF = 5
9514 1404 393
Answer:
k ≈ -0.06729
Step-by-step explanation:
The initial temperature difference is 85 -36 = 49 degrees. After 5 minutes, the temperature difference is 71 -36 = 35 degrees. The constant k is the natural log of the ratio of these temperature differences, divided by the time unit.
k = ln(35/49)/5 ≈ -0.06729
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The equation for the temperature T of the can in the refrigerator is ...
T = 49e^(-0.06729t) +36
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<em>Additional comment</em>
Be careful with the sign. If you're filling in k in e^(-kt), then the sign of k will be positive. Above, we have taken the form of the exponential term to be e^(kt), so k is negative.
Answer:
(x, y) = (2, -3/4)
Step-by-step explanation:
The point of the "elimination" technique is to combine the equations in a way that eliminates one of the variables. Sometimes this involves multiplying one or both of the equations by constants before you add those results together. In any event, the first step is to look at the coefficients of the variable terms to see if there is a simple combination of them that will result in zero.
The y terms have coefficients that are opposites of each other (4, -4), so you can simply add the two equations to eliminate y as a variable.
(2x +4y) +(x -4y) = (1) +(5)
3x = 6 . . . . . simplify
x = 2 . . . . . . divide by 3
Now, you find y by substituting this value into one of the equations. I would choose the equation with the positive y-coefficient:
2(2) +4y = 1
4y = -3 . . . . . . subtract 4
y = -3/4
Then the solution is ...
(x, y) = (2, -3/4)
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A graphing calculator confirms this solution.