Answer:
4y - 4 = 60
4y = 64
Y = 16
Answer is B
I get 60 as it is a equilateral triangle.
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Answer:
In the given equation -14(3a+6)=12(6-4a)+12 the value of a is 28
Step-by-step explanation:
Given equation is -14(3a+6)=12(6-4a)+12
To simplify the given equation:
-14(3a+6)=12(6-4a)+12
Taking all terms to one side
-14(3a+6)-12(6-4a)-12=0
-[14(3a+6)+12(6-4a)+12]=0
Now dividing by negative sign on the above equation we get
14(3a+6)+12(6-4a)+12=0 (using distributive property)
42a+84+72-48a+12=0 ( adding the like terms )
-6a+168=0
-6a=-168
6a=168

Therefore a=28
Therefore in the given equation -14(3a+6)=12(6-4a)+12 the value of a is 28
Answer:
A
Step-by-step explanation:
The diagonals of a parallelogram bisect each other. Hence, the two shorter sides created on diagonal RT ("6x-7" and "x+28" ) are equal.
<em>We can set them equal and solve for x:</em>
<em>
</em>
<em />
<em>So the side length of 6x -7 is:</em>
<em>6(7)-7 = 35</em>
<em>and the side length of x + 28 is:</em>
<em>7 + 28 = 35</em>
<em />
<em>THus, the diagonal RT = 35 + 35 = 70 units</em>
<em />
<em>Answer choice A is right.</em>
Answer:
t = 5 years
Step-by-step explanation:
I = $ 2000
P = $ 5000
r = 8%

Answer:
420 unique combinations.
Step-by-step explanation:
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
One object from each set:
2 from one set, 5, 6 and 7 by others. Sets are independent, so, by the fundamental counting principle:
2*5*6*7 = 10*42 = 420
420 unique combinations.