Answer:
x = 7.5
Step-by-step explanation:
Dilation is a transformation in which the size of a given figure is either increased or decreased by a scale factor.
Given that the length of sides of the smaller triangle are; 5, 13, 12.
Given also that the length of the dilated triangle are; x, blank, 18.
Comparing the length of the last sides of the two triangles, we have;
(scale factor x 12) + 12
= (
x 12) + 12
= 6 + 12
= 18
Thus the scale factor for the dilation is . So that:
x = ( x 5) + 5
= 2.5 + 5
= 7.5
x = 7.5
And also,
blank = ( x 13) + 13
= 6.5 + 13
blank = 19.5
Therefore, the length of the sides of dilated triangle are: 7.5, 19.5, 18
Answer:
Step-by-step explanation:
can be simplified to:
Make them have common denominators so:
Simplify:
I don't think you can simplify that fraction further so that's the answer.
There are two steps to this problem. The first step is to make an equation for the cost of each company. The cost of each one involves 2 variables. However, we can ignore the number of days since the question asks for per day.
CostA = 90 + .40(miles)
CostB = 30 + .70(miles)
We want to know when A is a better deal or when A costs less. That is when CostA < CostB. We can then substitute the right sides of our equations into the inequality. This will give:
90 + .40(miles) < 30 + .70(miles) This is where we will now begin to solve for the number of miles.
-30 -30 Subtract 30 from both sides.
60 + .4(miles) < .7(miles) Simplify
-.4(miles) -.4(miles) Subtract .4(miles) from both sides
60 < .3(miles) Simplify
/.3 /.3 Divide both sides by .3
200 < miles Simplify
So for A to cost less the number of miles must be greater than 200.
Answer:
6060 grams
Step-by-step explanation:
M = 5.3kg + 760g
= 5300g + 760g
= 6060 grams
<u>Answer-</u>
<em>A. strong negative correlation.</em>
<u>Solution-</u>
<u>Direction of a relationship</u>
- Positive- If one variable increases, the other tends to also increase. If one decreases, the other tends to also. It is represented by positive numbers(i.e 0 to 1).
-
Negative- If one variable increases, the other tends to decrease, and vice-versa. It is represented by negative numbers(i.e 0 to -1)
<u>Strength of a relationship</u>
- Perfect Relationship- When two variables are linearly related, the correlation coefficient is either 1 or -1. They are said to be perfectly linearly related, either positively or negatively.
- No relationship- When two variables have no relationship at all, their correlation is 0.
As in this case, correlation coefficient was found to be -0.91, which is negative and close to -1, so it is a strong negative correlation.
