Answer: 52.5
Step-by-step explanation: 2(3x+10)+2(x+10)=360 because all the sides of a rhombus equal 360 and alternate sides are equal
8x+20=360
-20=-20
8x/8=340/8
x=42.5
x+10. 42.5+10=52.5
D=52.5
Answer:
3rd and 4th Options are correct choices.
Step-by-step explanation:
We have been given a graph and we are asked to find which of the given figures demonstrate translation.
Since we know that in translation every point of the object must be moved in the same direction and for the same distance. By translation we can shift a figure in upward, downwards, left and right directions.
Now let us see our given choices one by one.
1. Upon looking at figures represented by 1st option we can see that both figures are mirror images to each other. Since we can get mirror images reflecting the pre-image over an axis of symmetry. So the given figures are result of reflection, therefore, 1st option is not a correct choice.
2. We can see that the figures represented by 2nd option are similar. One figure is smaller and other is larger. Since we get a similar image by dilating our pre-image. Therefore, these figures are result of dilation and 2nd option is not correct indeed.
3. We can see that figures represented by 3rd option are same and these figures are result of shifting. We can see that 1st figure is shifted to right to get the second figure, therefore, 3rd option is a correct choice.
4. The figures represented by 4th option are same and these figures are result of shifting. We can see the figure in the bottom is result of shifting the upper figure downwards and then to right. Therefore, 4th option is a correct choice.
If you are going to use mental math, round $0.98 up to $1.
Rounded, the cost of the 30 songs is $30.
However, since you rounded at the beginning, you need to subtract 2 cents for every song you purchased from the total of $30.
Multiply 30 by $0.02 to get $0.60. Subtract $0.60 from $30.
Your answer should be $29.40.
The answer to your question is D: The result is a whole number that is neither prime nor composite.
We take as the 100% the 194070 miles from last year. Then, we apply a rule of three:

Since 329,919 is the 170% of last year's miles, then the increase was of 70%