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Goryan [66]
3 years ago
11

Step 2: Radii OK and NL are perpendicular to OM because of the radius-tangent theorem. By definition of perpendicular, angles KO

M and LNM are right angles. This means that triangles KOM and LNM are right triangles. Angle LMN is common to both right triangles, so by the _________________________, triangles KOM and LNM are similar. please fill in the blank
Mathematics
1 answer:
viva [34]3 years ago
8 0

Answer:

<h2>AAA postulate.</h2>

Step-by-step explanation:

Givens

  • Angles KOM and LNM are congruent, because both are right.
  • Angle LNM is common to both triangles.

If two internal angles of two triangles are congruent, then the third angle is also congruent.

Therefore, the similarity is proven by AAA postulate, which states that if we have three corresponding angles congruent, then those triangles are similar.

Remember that similarity is about proportion between sides and congruence between angles.

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Your help is greatly appreciated. Need help please.
ehidna [41]

Answer:

  $13.00

Step-by-step explanation:

Let f represent the price per foot of pasture fence, and p represent the price per foot of picket fence. The two purchases can be written in equation form as ...

  2000f + 450p = 12850

  700f +300p = 6350

Using Cramer's rule, we can find the value of the picket fence as ...

  p = (12850·700 -6350·2000)/(450·700 -300·2000) = -3705000/-285000

  p = 13

The cost per foot of picket fence is $13.00.

_____

<em>Cramer's Rule and Vedic math</em>

The above equation for p is a summary of the math you would be doing if you were to solve the equations by eliminating f. Cramer formulates it in terms of determinants of the coefficients in the equations. Practitioners of Vedic math formulate it in terms of X-pattern combinations of the coefficients in much the same way as finding a determinant. For the equations ...

  • ax +by = c
  • dx +ey = f

The solutions are ...

  ∆ = bd -ea

  x = (bf -ec)/∆

  y = (cd -fa)/∆ . . . . . this is the equation we used above

__

If you do a rigorous comparison of this formula with that of Cramer's rule, you find the signs of numerator and denominator are reversed. That has no net effect on the solution, but it makes the X pattern of products easier to remember for practitioners of Vedic math.

6 0
3 years ago
A researcher wants to estimate the percentage of all adults that have used the Internet to seek pre-purchase information in the
lara31 [8.8K]

Answer:

The sample size is 1875.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

Sampling error of 0.03.

This means that M = 0.03

99.74% confidence level

So \alpha = 0.0026, z is the value of Z that has a pvalue of 1 - \frac{0.0026}{2} = 0.9987, so Z = 3.

25% of all adults had used the Internet for such a purpose

This means that \pi = 0.25

What is the sample size

The sample size is n. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 3\sqrt{\frac{0.25*0.75}{n}}

0.03\sqrt{n} = 3\sqrt{0.25*0.75}

Simplifying by 0.03 both sides

\sqrt{n} = 100\sqrt{0.25*0.75}

(\sqrt{n})^2 = (100\sqrt{0.25*0.75})^2

n = 1875

The sample size is 1875.

7 0
3 years ago
Which of the following rational functions is graphed below??
valina [46]
The correct answer is letter B!!
5 0
3 years ago
The least common multiple of six
Artyom0805 [142]
The least common multiple of 6 is 6. When you use the method, you, in the end have to do 3*2, which is 6.
6 0
3 years ago
3. One of the fireworks is launched from the top of the building with an initial
algol13
The answer is G hope i helped and god bless

4 0
3 years ago
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