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3 years ago

Which similarity postulate or theorem can be used to verified that the two triangles shown below are similar? PLEASE HELP ASAPP

Mathematics

1 answer:

Over [174]3 years ago

8 0

Answer:

Correct option: A -> AA postulate

Step-by-step explanation:

In the figure we can see that in triangle ABC we have:

A = 53°

B = 72°

And we can see in the triangle LMN that:

L = 53°

M = 72°

We have two pairs of angles (A - L and B - M) that are congruent, and therefore we can use the case AA (angle-angle) to affirm that these triangles are similar.

So the correct option is A: AA postulate.

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3 years ago

Find the length x to the nearest whole number. A right triangle has a vertical leg of length x units, a base leg with a length o

wel

Complete Question

The diagram for this question is shown on the first uploaded image

Answer:

The value of x is $x = 274 \ unites$

Step-by-step explanation:

From the question we are told that

The length of the vertical length is $x$

The length of the base leg is L = 330 + d units

The length of the bisecting line segment is h

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The angle between d and line segment is $\theta_1 = 56^o$

For the first angle

$Tan \theta_1 = \frac{x}{d}$

=> $d = \frac{x}{Tan \theta _1}$

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$Tan \theta = \frac{x}{330 + d}$

=> $d = \frac{x}{Tan \theta } -330$

So equating the both d

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Substitute values

$\frac{x}{Tan (56)} = \frac{x}{Tan (28) } -330$

$0.6745 x = 1.880x -330$

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3 years ago

A $250,000 home loan is used to purchase a house. The loan is for 30 years and has a 5.4% APR. Use the amortization formula to d

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$\bf ~~~~~~~~~~~~ \textit{Amortized Loan Value}
\\\\
pymt=P\left[ \cfrac{\frac{r}{n}}{1-\left( 1+ \frac{r}{n}\right)^{-nt}} \right]
\\\\\\
~~~~~~
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P=
\begin{array}{llll}
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\textit{since the payments are}\\
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