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3 years ago

Which parallelograms have perpendicular diagonals? rectangle, rhombus square, rhombus square, rectangle none.

Mathematics

1 answer:

Artist 52 [7]3 years ago

4 0

<h3>Answer: Rhombus and square</h3>

Explanation:

Any rhombus has its diagonals meet at 90 degree angles. The proof for this is a bit lengthy, so I'll let you handle it. The basic idea is to draw in the diagonals, which forms smaller triangles. Proving those triangles to be congruent leads to supplementary congruent angles, which in turn leads to the 90 degree angles needed.

A square is a special type of rhombus where all four angles are the same (each 90 degrees). Put another way, a square is both a rectangle and a rhombus at the same time.

Some rectangles are not squares, so the non-square rectangles will have the diagonals not be perpendicular.

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Solve the inequality x +8 > 3

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Answer:-5

Step-by-step explanation:

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A factory makes propeller drive shafts for ships. A quality assurance engineer at the factory needs to estimate the true mean le

borishaifa [10]

Answer:

$1000-1.96\frac{2}{\sqrt{4}}=998.04$

$1000+1.96\frac{2}{\sqrt{4}}=1001.96$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

Now we have everything in order to replace into formula (1):

$1000-1.96\frac{2}{\sqrt{4}}=998.04$

$1000+1.96\frac{2}{\sqrt{4}}=1001.96$

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3 years ago

If we have 25 m how many cm would that be?

BlackZzzverrR [31]

1m=100cm,
so 25 m=25*100=2500cm

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4 years ago

The graphs of rational functions m and n have the same vertical asymptotes, and both have a single x-intercept at x = 5.

Hatshy [7]

Answer:

Step-by-step explanation:

We are given two rational functions m(x) and n(x) that have the same vertical asymptotes both with a single x-intercept at x = 5.

The correct choice will be A.

Recall the transformations of functions.

B represents m(x) being shifted up 5 units. If the function is shifted up, the vertical asymptotes will be the same, but the x-intercept will change.

C represents m(x) being shifted 5 units to the right. This changes both the x-intercept and the vertical asymptotes.

Likewise, D represents m(x) being shifted 5 units to the left. Again, this will change both the x-intercept and the vertical asymptotes.

Therefore, the only choice left is A. It represents a vertical stretch by a factor of 5. This preserves the x-intercepts and the vertical asymptotes. Consider the function:

$\displaystyle m(x)=\frac{x-5}{(x-3)(x-7)}$

If n(x)=5m(x), we can see that:

$\displaystyle n(x)=\frac{5(x-5)}{(x-3)(x-7)}$

So, the x-interceps and vertical asymptotes are preserved.

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3 years ago

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iris [78.8K]

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