Answer:
x =42
Step-by-step explanation:
x and 138 are same side interior angles. Same side interior angles are supplementary when the lines are parallel
x+138 = 180
x = 180-138
x =42
The answer will be D) 4,-6
Step-by-step explanation:
In this problem, we need o find the rate in cups of lime juice per cup of yogurt.
It is given that, a salad dressing recipe includes 4/5 cup of lime juice for every 2 cups of Greek yogurt. Its rate is given by :
Hence, the rate is 8/5 cups of lime juice per cup.
First off, you should see whether the data is qualitative or quantitative.
-Quantitative is the number that represents counts or measurements.
-Qualitative (aka Categorical) typically labels or non-numeric entries
So, and example of some qualitative graphs are:
-Bar Graphs: usually comparison of things
-Two Way Tables: typically a survey with the comparison of data
-Circle Graph (Pie Chart): percentages being compared from different categories
-Frequency Tables: shows how often something appears
Some examples of quantitative graphs are:
-Box and Whiskers: shows the low, high, median of 1st quartile, median, median of 3rd quartile, and the high of data
-Line Graph: shows the change of something over a period of time
-Histogram: compares the data using frequency intervals, like 1-5, 6-10, etc.
-Scatterplot: shows the correlation of the data
-Stem and Leaf: first number goes in stem, remaining parts of number goes in leaf depending on what the first number it was, and key to help
So if you're trying to link the graph to something in your life, the graph may vary depending on what the data is. If you're going height over the years you've lived, a line graph would be best. It really depends what in your life you are doing, so I hope I provided enough information to help you out. Hope this helps!
For this case, we have the following equation (according to the comments):
First, we factor the quadratic expression in the denominator:
Then, we multiply both sides of the equation by (a-2) (a + 2):
Later, canceling similar terms we have:
We do distributive property on the left side of the equation:
By grouping variables and constant terms we have:
Rewriting we have:
Finally, by clearing "a" we have:
Note: the value of a is a extraneous solution because it makes the denominator of the original equation equal to zero.
Answer:
the student correct, but the value of a= -2 is an extraneous solution
