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2 years ago

N the diagram, the ratios of two pairs of corresponding sides are equal.

Mathematics

2 answers:

Mrrafil [7]2 years ago

4 0

Answer:

Correct answer: A

Step-by-step explanation:

MaRussiya [10]2 years ago

3 0

Answer:

$\angle N\cong \angle Z$

Step-by-step explanation:

Given:

In ΔLMN and ΔXYZ, $MN=3\,,\,LN=2\,,\,YZ=9\,,\,XZ=6$

To find: criteria that needs to be shown to prove ΔLMN $\sim$ ΔXYZ using SAS similarity theorem

Solution:

According to SAS Similarity Theorem, if two sides in one triangle are proportional to two sides in another triangle and the included angle between the sides are congruent, then the two triangles are said to be similar.

In ΔLMN and ΔXYZ,

$\frac{LN}{XZ}=\frac{2}{6}=\frac{1}{3}\\\frac{MN}{YZ}=\frac{3}{9}=\frac{1}{3}\\\therefore \frac{LN}{XZ}=\frac{MN}{YZ}$

So, ΔLMN $\sim$ ΔXYZ by SAS similarity theorem if $\angle N\cong \angle Z$

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Antawn Jamison is shooting free throws. Making or missing free throws doesn't change the probability that

scoray [572]

Answer: 0.73^9

Step-by-step explanation: Khan

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2 years ago

You have just received an inheritance of $28,000 and would like to invest it into an account. The bank offers two investment pla

grigory [225]

First we need to calculate annual withdrawal of each investment
The formula of the present value of an annuity ordinary is
Pv=pmt [(1-(1+r)^(-n))÷(r)]
Pv present value 28000
PMT annual withdrawal. ?
R interest rate
N time in years
Solve the formula for PMT
PMT=pv÷[(1-(1+r)^(-n))÷(r)]

Now solve for the first investment
PMT=28,000÷((1−(1+0.058)^(−4))
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The return of this investment is
8,043.59×4years=32,174.36

Solve for the second investment
PMT=28,000÷((1−(1+0.07083)^(
−3))÷(0.07083))=10,685.63
The return of this investment is
10,685.63×3years=32,056.89

So from the return of the first investment and the second investment as you can see the first offer is the yield the highest return with the amount of 32,174.36

Answer d

Hope it helps!

6 0

2 years ago

The graph of y = RootIndex 3 StartRoot x minus 3 EndRootis a horizontal translation of y = RootIndex 3 StartRoot x EndRoot. Whic

LUCKY_DIMON [66]

Answer:

Step-by-step explanation

The graph of the cube root parent function y = ^3√x is translated to form f(x) shown on the graph. Which equation represents f(x)?

A: f(x) = ^3√x + 6 +1

The graph of g(x) is a reflection and translation of f(x) = = ^3√x. Which equation represents g(x)?

D: g(x) = -^3√x - 1

The function s(V) = ^3√v describes the side length, in units, of a cube with a volume of V cubic units. Jason wants to build a cube with a minimum of 64 cubic centimeters. What is a reasonable range for s, the side length, in centimeters, of Jason's cube?

s ≥ 4

The graph of f(x) = ^3√x + 8 is shown. Which statement is true?

NOT The function is only increasing when x ≥ −8.

Which statements describe the graph of y = ^3√x - 1 +2? Check all that apply.

The graph has a domain of all real numbers.

The graph has a y-intercept at (0, 1).

The graph has an x-intercept at (-7, 0).

The graph shows the function f(x).

Which equation represents f(x)?

f(x) = ^3√-x -1

Which is the graph of the cube root function f(x) = ^3√x?

The graph of y = ^3√x is reflected over the y-axis and then translated down 2 units to form f(x). Which is the graph of f(x)?

On the coordinate grid, the graph of y = ^3√x - 1 +3 is shown. It is a translation of y = ^3√x. What is the domain of the graphed function?

{x| x is a real number}

5 0

2 years ago

Read 2 more answers

Three trigonometric functions for a given angle are shown below. cosecant theta = thirteen-twelfths; secant theta = Negative thi

Kay [80]

Answer:

(–5, 12) is the correct answer.

Step-by-step explanation:

We are given the following values:

$cosec\theta = \dfrac{13}{12}\\sec\theta=-\dfrac{13}{5}\\cot\theta =-\dfrac{5}{12}$

Now, we know the following identities:

$sin \theta = \dfrac{1}{cosec\theta}\\cos \theta = \dfrac{1}{sec\theta}\\tan \theta = \dfrac{1}{cot\theta}$

Now, the values are:

$sin\theta = \dfrac{12}{13}\\cos\theta=-\dfrac{5}{13}\\tan\theta =-\dfrac{12}{5}$

Sine value is positive and cos, tan values are negative.

It can be clearly observed that $\theta$ is in 2nd quadrant.

2nd quadrant means, the value of $x$ will be negative and $y$ will be positive.

Let us have a look at the value of $tan\theta$ :

$tan\theta = \dfrac{Perpendicular}{Base}\\OR\\tan\theta = \dfrac{y-coordinate}{x-coordinate} = -\dfrac{12}{5}\\\therefore y = 12,\\x = -5$

Please refer to the attached image for clear understanding and detailed explanation.

Hence, the correct answer is coordinate (x,y) is (–5, 12)

8 0

2 years ago

A sociologist is studying the social media habits of high school students in a school district. The sociologist wants to estimat

Sindrei [870]

Answer:

A one-sample t-interval for a population mean

Step-by-step explanation:

As the question is "How many minutes per day, on average, do you spend visiting social media sites?", the answer will be in a numerical form (number of hours, positive integer or real number).

As this is not a proportion, the option "A one-sample t-interval for a population mean" is discarded.

As the study does not defined another variable to compare in pairs, it is not a matched-pairs test. Option "A matched-pairs t -interval for a mean difference" discarded.

There are not two means in the study, so there is no "difference between means" variable. Options "A two-sample z-interval for a difference between proportions" and "A two-sample t-interval for a difference between means".

This should be a one-sample t-interval for a population mean, as there is only one sample, one population mean and the population standard deviation is not known.

3 0

2 years ago