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2 years ago

Julia examines the two triangles below and determines that .

Mathematics

2 answers:

baherus [9]2 years ago

8 0

IN Δ MLN:

∠M = 18.3 , ∠L = 98.6 AND ∠N = 180 - (∠M + ∠L) = 180 - (18.3 + 98.6 ) = 63.1

IN Δ FGH:

∠F = 98.6 , ∠G = 61.1 AND ∠H = 180 - (∠F + ∠G ) = 180 - (98.6 + 61.1 ) = 20.3

∴ ONLY ∠N = ∠F = 98.6

There is no other congruent angles

So, The correct statement is :

Inaccurate. The triangles are not similar because angle M is not congruent to angle H, and angle N is not congruent to angle G.

yulyashka [42]2 years ago

7 0

Answer:

It is "D" just took the quiz.

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During a test period, an experimental group of 10 vehicles using an 85 percent ethanol-gasoline mixture showed mean CO2 emission

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Answer:

A quick comparison of the sample variances suggests that the population variances are same or almost equal.

Step-by-step explanation:

The populations from which two samples are drawn are normally distributed.

The variable used to predict another variable is called an independent variable.

F- distribution is used for the test of two sample hypotheses of variances.

If two populations have equal variances then the test Statistic is nearly equal to 1.

t= s²₁/s²₂i

As the variances are almost or nearly equal the test statistic would be almost equal to 1.

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2 years ago

What is the coefficient in the expression 5 + 9y?

LenKa [72]

Answer:

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Step-by-step explanation:

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2 years ago

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What is log Subscript 15 Baseline 2 cubed rewritten using the power property?

nalin [4]

Answer:

The equivalent expression

Step-by-step explanation:

Assuming your expression is $\log_{15}2^3$ , then we can use the power property of logarithm , which is $\log_ab^n=n\log_ab$ .

If we let a=15, b=2, and n=3

Then using the power property of logarithm will give us:

$\log_{15}2^3=3\log_{15}2$

Using the power property of logarithm, the equivalent expression is $3\log_{15}2$

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2 years ago

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Use lagrange multipliers to find the points on the given surface that are closest to the origin. y2 = 64 + xz

Inessa [10]

The distance between an arbitrary point on the surface and the origin is

$d(x,y,z)=\sqrt{x^2+y^2+z^2}$

Recall that for differentiable functions $g(x)$ and $h(x)$ , the composition $g(h(x))$ attains extrema at the same points that $h(x)$ does, so we can consider an augmented distance function

$D(x,y,z)=x^2+y^2+z^2$

The Lagrangian would then be

$L(x,y,z,\lambda)=x^2+y^2+z^2+\lambda(y^2-64-xz)$

We have partial derivatives

$\begin{cases}L_x=2x-\lambda z\\L_y=2y+2y\lambda\\L_z=2z-\lambda x\\L_\lambda=y^2-64-xz\end{cases}$

Set each partial derivative to 0 and solve the system to find the critical points.

From the second equation it follows that either $y=0$ or $\lambda=-1$ . In the first case we arrive at a contradiction (I'll leave establishing that to you). If $\lambda=-1$ , then we have

$\begin{cases}2x+z=0\\2z+x=0\end{cases}\implies x=0,z=0$

This means $y^2=64\implies y=\pm8$

so that the points on the surface closest to the origin are $(0,\pm8,0)$ .

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2 years ago

The stem-and-leaf plot shows the temperatures of patients who registered at a clinic one day. How many patients registered at th

saveliy_v [14]

As the key suggests, the left part is the integer part of the number, while the digit on the right is the decimal part of the number.

So, for example, the first row describes the two values 97.2 and 97.8, while the second row describes the values 98.1, 98.3 (repeated twice), 98.5, 98.6 and 98.7 (repeater three times).

So, the number of values is given by the number of leaves: you simply have to count how many digits are there on the right part of the screen.

The answer is thus 24

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2 years ago