Answer: BC = 15
Step-by-step explanation:
Since the triangles are congruent, that means they are the same. So side AB = side EF. Since we know side FD is 15, that means side BC= 15
Answer:44
Step-by-step explanation:
Answer:
They are all multiplied by 6
The answer is actually choice A
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If we add up the equations straight down we will have 0a+2b = 6
Note how adding the 'a' terms gives us 3a + (-3a) = 3a-3a = 0a. The 0a term is really 0 since 0 times anything is 0. So the 'a' terms will go away
The equation 0a+2b = 6 turns into 0+2b = 6 and that simplifies to 2b = 6
To isolate b, we divide both sides by 2
2b = 6
2b/2 = 6/2
b = 3
We can stop here since only one answer choice has b = 3, which is choice A. However, let's keep going to find the value of 'a'
Plug b = 3 into any equation with 'a' and 'b', then solve for 'a'
3a+4b = 9
3a+4*3 = 9
3a+12 = 9
3a+12-12 = 9-12
3a = -3
3a/3 = -3/3
a = -1
So a = -1 and b = 3 pair up to form (a,b) = (-1,3)
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To check, plug this ordered pair back into both equations
Equation 1:
3a+4b = 9
3*(-1)+4*3 = 9
-3+12 = 9
9 = 9
Equation 1 has been checked out
Equation 2:
-3a-2b = -3
-3(-1)-2(3) = -3
3 - 6 = -3
-3 = -3
this is true as well
So this confirms that the final answer is choice A
Answer: The product xy is not constant, so the relationship is not an inverse variation.
Step-by-step explanation:
For it to be an inverse variation, the product of x and y must be constant.
- For the first row, xy=2(424)=848.
- For the second row, xy=3(280)=840.
- For the third row, xy=4(210)=840.
This means <u>the product xy is not constant, so the relationship is not an inverse variation.</u>
