Answer:
<h2>x = 19</h2>Step-by-step explanation:
There are the vertical angles. The vertical angles are congruent. Therefore we have the equation:
<em>add 8 to both sides</em>
<em>subtract 6x from both sides</em>
Which fraction is a multiple of 1/8? Select all that apply.
2 answers:
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Answer:
B: 4/5x -2y ≥ 3
Step-by-step explanation:
The first thing I always look for is the y-intercept which in this case is around -1.5 (-). That will be your constant (b) in y = mx + b. Then calculate the slope which will be your m in the equation. Visually, I would estimate it is around
. So now, your equation is y =
x -1
. Next we want to figure out what the inequality will be. The shaded part is underneath the line, which means that y must be less than where the line is. Therefore the inequality will be y ≤
x -1
.
Now in this question, the answers available are not in this form. The next step would be to multiply every part of the inequality by 2 (it is essential that all parts are multiplied) so that you get 2y ≤ x -3. The last step is to rearrange the inequality so that it matches the answers on the question.
3 ≤ x - 2y
x - 2y ≥ 3
Answer:
The probability of rolling a number that is even and a multiple of 3 is
Step-by-step explanation:
The total possible outcomes of cube = { 1, 2, 3 , 4 , 5 , 6}
Now, let E: Event of getting an even number and a multiple of 3
So, out of all the outcomes, {6) is the ONLY possible favorable outcome.
or,
Hence, the probability of rolling a number that is even and a multiple of 3 is
9514 1404 393
Answer:
IS a parallelogram
Step-by-step explanation:
The slope formula for the slope of the line between points (x1, y1) and (x2, y2) is ...
m = (y2 -y1)/(x2 -x1)
The distance formula for the length of that same line is ...
d = √((x2 -x1)^2 +(y2 -y1)^2)
Here, you're asked to use each of these formulas 4 times, once for each side of the quadrilateral. I find it convenient to let a calculator or spreadsheet do the repetitive calculations. The result is attached.
The attachment shows that opposites sides have the same length and slope, so are parallel. The quadrilateral is a parallelogram. (The two points used in each calculation are the ones on the result line and the line immediately below. That is why point B is copied to the end of the list.)
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<em>Additional comments</em>
There are much simpler ways to prove the figure is a parallelogram. My favorite is to add the coordinates of the end points of the diagonals:
B +D = (-2+6, -9-3) = (4, -12)
C +E = (0+4, -5-7) = (4, -12)
These values being the same demonstrates the midpoints of the diagonals are coincident. That will only be the case if the quadrilateral is a parallelogram.
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If you must use slope and distance formulas, showing either pair of opposite sides is parallel and have the same length is sufficient to guarantee that the other two sides are also parallel and have the same length. That is, the calculations required in this problem only need to be applied to one pair of opposite sides. (Using a spreadsheet, it's not a lot of extra work to do the calculations for both pairs of opposite sides.)
