Answer:
The distance in the x-coordinates from A(–2, 2) to the center of dilation F(1, 1) is 3 unit(s)
Step-by-step explanation:
Give points:
Center of dilation
The distance in the x-coordinates fro to
can be given by
Triangle ABC is congruent to triangle DEF. If DE = 41, EF = 23, DF = 36, and AC = 5x - 9, what is x? Round to the nearest tenth.
1 answer:
Similar shapes may or may not be congruent.
The value of x is (a) 9.0
The corresponding sides are:
- AB and DE
- BC and EF
- AC and DF
The side lengths are:
Because the shapes are congruent, and AC corresponds to DF.
This means that:
So, we have:
Collect like terms
Divide both sides by 5
<em>Hence, the correct option is (a) 9.0</em>
Read more about congruent triangles at:
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Answer:
The 95% confidence interval would be given by (0.380;0.440)
The 99% confidence interval would be given by (0.370;0.450)
Step-by-step explanation:
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
The 95% confidence interval would be given by (0.380;0.440)
And for the 99% confident interval the critical value would be 2.58 and if we replace we got:
The 99% confidence interval would be given by (0.370;0.450)