The solution is that x = 26 and y = 9.
In order to find these, we need to note that since the two angles involving x's make a straight line, then they must equal 180 degrees. So we can add them together and set them equal to solve for x.
5x - 17 + 3x - 11 = 180 ----> combine like terms
8x - 28 = 180 ----> add 28 to both sides
8x = 208 -----> divide by 8
x = 26
Now that we have the value of x, we can find the value of the 3x - 11 term. That along with the right angle and the 2y + 5 angle combine to make another straight line. So we can solve by setting that equal to 180 as well.
3x - 11 + 90 + 2y + 5 = 180 ------> Combine like terms
3x + 2y + 84 = 180 -----> Put 26 in for x.
3(26) + 2y + 84 = 180 -----> Multiply
78 + 2y + 84 = 180 ------> Combine like terms again
2y + 162 = 180 ------> Subtract 162 from both sides
2y = 18 -----> Divide by 2
y = 9
Answer:
The expressions are not equivalent because Negative 3 (2) (5 minus 4) + 3 (2 minus 6) = negative 18 and Negative 12 (2) minus 6 = negative 30
Step-by-step explanation:
Apparently, we're trying to see if ...
-3(x)(5 -4) + 3(x -6) = -12(x) -6
by evaluating the expressions for x=2:
-3(2)(5-4) +3(2 -6) ?= -12(2) -6
-6 -12 ?= -24 -6
-18 ≠ -30 . . . . . . . . . shows expressions are not equivalent
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This demonstration matches the one in the first choice:
The expressions are not equivalent because Negative 3 (2) (5 minus 4) + 3 (2 minus 6) = negative 18 and Negative 12 (2) minus 6 = negative 30
Answer is 426,700
Because the tens place is 4 and unless it’s 5 or above the hundreds place doesn’t go up (hopefully that makes sense)
Answer:
D = rate x time
D = (rate of current + rate of boat) x time
168 = (y - x) t against the current trip upstreams
168 = (y + x) t with the current trip downstream
168 = (y - x) 4
168 = (y + x) 3.5
since 168 = 168, we can set the equations equal to each other:
(y - x)4 = (y+x)3.5
4y - 4x = 3.5y +3.5x
4y - 3.5y = 3.5x + 4x
0.5y = 7.5x
y =15x
the rate of the current is 15 times the rate of the boat.
168 =4(15x) - 4x
168 = 60x - 4x
168 = 56x
x = 3
y = 15x
y = 15(3)
y = 45
Step-by-step explanation:
Answer:
<em>Parallelogram</em>
Step-by-step explanation:
The image below shows that it most likely looks like a <em>Parallelogram</em>.
