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solniwko [45]
2 years ago
15

Are the two triangles similar?

Mathematics
1 answer:
gizmo_the_mogwai [7]2 years ago
5 0

Answer:

Yes

Step-by-step explanation:

The missing angle in triangle DER is 42 (as angles in a triangle add up to 180) and the missing angle in TVA (<em>LOKI lol </em>) is 110 (as angles in a triangle add up to 180) .

Since all angles are equal the triangles must be similar .

Hope this helped and have a good day

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Define the value of the expression 3^2 x 3^{-5}
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Answer:

Between 0 and 1

Step-by-step explanation:

The given expresion is

{3}^{2} \times  {3}^{ - 5}

Recall that:

{a}^{m}  \times  {a}^{n}  =  {a}^{m + n}

We apply this property of exponents to get;

{3}^{2}  \times  {3}^{ - 5}  =  {3}^{2 +  - 5}  =  {3}^{ - 3}

We rewrite to obtain a positive index as:

{3}^{2}  \times  {3}^{ - 5}  =  \frac{1}{ {3}^{3} }  =  \frac{1}{27}

Therefore the value of the expression is between 0 and 1.

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3 years ago
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Step-by-step explanation:

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What is the rate of change of the water level , in feet per hour
miskamm [114]
A; rate of change is the same as slope, so, using the slope formula, m= \frac{y_{2} - y\1_{1}   }{ x_{2} - x_{1} }, where m is the slope and x_{1}, x_{2}, y_{1}, and y_{2} are the x and y values.

Plug in 2 points for x and y, water level being the y and time being the x since we're looking for the answer in ft/hr-- you can choose any two, but from the same row.

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3 years ago
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Find the hypotenuse of an isosceles right triangle when the legs each measure 3\sqrt{x} 2inches.
Tresset [83]

The hypotenuse of the right triangle measures 3 units.

<h3>How to find the hypotenuse?</h3>

Here we know that both legs measure:

L  =\frac{3}{\sqrt{2} }

If we use the Pythagorean theorem, we will see that the hypotenuse H can be written as:

H^2 = (\frac{3}{\sqrt{2} } )^2 +  (\frac{3}{\sqrt{2} } )^2 \\\\H^2 = \frac{9}{2} + \frac{9}{2} = \frac{18}{2} = 9\\\\H = \sqrt{9} = 3

Then we conclude that the hypotenuse of the right triangle measures 9 units.

If you want to learn more about right triangles:

brainly.com/question/2217700

#SPJ1

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