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Irina18 [472]
3 years ago
7

Which statement about these two triangles is true

Mathematics
2 answers:
klemol [59]3 years ago
8 0
Option A is true...
A).triangle ABC is similar to the triangle FDE becoz...AB/FD=AC/FE.
lana66690 [7]3 years ago
5 0

Answer:

Option A. is the correct option.

Step-by-step explanation:

By the theorem of similar triangles, when two triangles are similar their corresponding sides will be in the same ratio.

In ΔABC and ΔDEF

\frac{AB}{FD}=\frac{AC}{FE}=\frac{5}{10}=\frac{1}{2}

So, these two triangles will be similar.

Option A. ΔABC and ΔDEF are similar because \frac{AB}{FD}=\frac{AC}{FE}

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Step-by-step explanation:

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Percent \ decrease = \dfrac{7750}{22250}*100

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Step-by-step explanation:

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3 years ago
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Amelia launched her science fair rocket, and then backed away. The path of the rocket is given by the equation below, where y is
Mamont248 [21]

Answer:

1)The rocket hit the ground at     x = \frac{5}{4}

2)The maximum height of the rocket = 12.468 feet

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given equation  

                y = -2 x² + 5 x + 7 ...(i)

Differentiating equation (i) with respective to 'x' , we get

             \frac{dy}{dx} = -2( 2x) +5(1) =  -4x +5

Equating zero

            \frac{dy}{dx} = 0

⇒      -4 x +5 =0

⇒      -4 x = -5

⇒          x = \frac{5}{4}

<em> The rocket hit the ground at     </em>x = \frac{5}{4}<em></em>

<u><em>Step(ii):</em></u>-

    \frac{dy}{dx}  =  -4x +5  ...(ii)

Again differentiating equation (ii) with respective to 'x' , we get

 \frac{d^{2} y}{dx^{2} }  = - 4(1)

The maximum height at x = \frac{-5}{4}

  y = -2 x² + 5 x + 7

 y = -2 (\frac{5}{4})^{2}  + 5 (\frac{5}{4} )  + 7

y = \frac{-2(25)+ 25 (16)+7(64)}{64}

y = \frac{798}{64} = 12.468 feet

<em>The maximum height of the rocket = 12.468 feet</em>

       

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