One side of triangle twice the length of the shortest side and the 3rd side 14 more feet than length of shortest side, find dime
1 answer:
Let's say the sides are "a" first one, "b" second one and "c" the third one
ok, let's say the shortest is "a"
and let's say "b" is -> "<span> twice the length of the shortest side"
so b = 2a
and let's say "c" is -> "</span><span>3rd side 14 more feet than length of shortest side"
so c = a + 14
we know the perimeter ( sum of all sides ) is 154
</span>
<span>
solve for "a"</span>
ok, let's say the shortest is "a"
and let's say "b" is -> "<span> twice the length of the shortest side"
so b = 2a
and let's say "c" is -> "</span><span>3rd side 14 more feet than length of shortest side"
so c = a + 14
we know the perimeter ( sum of all sides ) is 154
</span>
<span>
solve for "a"</span>
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The decision rule for rejecting the null hypothesis, considering the t-distribution, is of:
- |t| < 1.9801 -> do not reject the null hypothesis.
- |t| > 1.9801 -> reject the null hypothesis.
At the null hypothesis, it is tested if there is not enough evidence to conclude that the mean voltage for these two types of batteries is different, that is, the subtraction of the sample means is of zero, hence:
At the alternative hypothesis, it is tested if there is enough evidence to conclude that the mean voltage for these two types of batteries is different, that is, the subtraction of the sample means different of zero, hence:
We have a two-tailed test, as we are testing if the mean is different of a value.
Considering the significance level of 0.05, with 75 + 46 - 2 = 119 df, the critical value for the test is given as follows:
|t| = 1.9801.
Hence the decision rule is:
- |t| < 1.9801 -> do not reject the null hypothesis.
- |t| > 1.9801 -> reject the null hypothesis.
More can be learned about the t-distribution in the test of an hypothesis at brainly.com/question/13873630
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Answer:
because they are opposite sides of a parallelogram.
Step-by-step explanation:
First of all, let us have a look at the definition of a parallelogram.
<em>A parallelogram is a closed 4 sided figure (i.e. a quadrilateral) made up with two pairs of straight lines such that the two pairs are parallel and equal to each other.</em>
<em></em>
For example, let us consider a quadrilateral ABCD as attached in the diagram in answer area.
The two pair of lines are:
AB, DC and BC, AD
For ABCD to be a parallelogram, the lines
AB and DC must be parallel to each other and AB = DC
AND
BC and AD must be parallel to each other and BC = DA
------------------------------
In the given question, we are given that the quadrilateral MNOP is a parallelogram.
The two pairs opposite lines are OP, NM and PM, ON.
As per the definition of a parallelogram,
OP and NM must be <em>parallel and equal </em>to each other.
AND
PM and ON must be <em>parallel and equal </em>to each other.
.
Hence proved.
