Answer:
x = 2
Step-by-step explanation:
Solve the two equations simultaneously....whereby you substitute y = 2x - 6 from the above equation into the second equation...
where...; 5x + 10(2x - 6) = -10
5x + 20x - 60 = -10...then move the variables with x to one side...
5x + 20x = -10 + 60
25x = 50
;Therefore...the value of x at intersection point = 2
Answer:
0.0062 = 0.62% of the 24-ounce bags contain less than the advertised 24 ounces of chips.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 24.5 ounces and a standard deviation of 0.2 ounce.
This means that 
What proportion of the 24-ounce bags contain less than the advertised 24 ounces of chips?
This is the p-value of Z when X = 24. So
has a p-value of 0.0062.
0.0062 = 0.62% of the 24-ounce bags contain less than the advertised 24 ounces of chips.
I did problems like that by marking the coordinates. For example it says A was at (2.3), so you’d go over 2 and up 3. Then you’d do the same for points B and C. After that you would connect the dots with lines, and it would show that both triangles are the same size meaning that it couldn’t be a dilation, since that would make the triangle be either bigger or smaller in size. The triangles would be facing the same direction, so it couldn’t be reflected over anything or rotated. The answer would be D) translation, because the image of the triangle was translated to the right 2 and up 2 for all of the points.
Answer:
Step-by-step explanation:
Supplementary means that 2 angles add up to 180 degrees.
If ACB and ACD are supplementary then they have to add up to 180 degrees.
We know that ACD is smaller than ACB and EGF is supplementary to the smaller of the two.
So then these two are supplementary.
If these are supplementary then the only reason i can think of is that they are supplementary or not. I recently had a test on this too and i may have failed. I have given you all the information i know. Sorry. If it is multiple choce then pick a random one. You may get it correct.
