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olga2289 [7]
3 years ago
12

HELP!!! answer quickly pls

Mathematics
2 answers:
lora16 [44]3 years ago
7 0

Answer:a

Step-by-step explanation: move c 6 to the right and then up 6

emmainna [20.7K]3 years ago
4 0

Answer:

A

Step-by-step explanation:

(x, y) → (x + 6, y + 6)

C:

(-4, -2) → (x + 6, y + 6)

(-4, -2) → (-4 + 6, -2 + 6)

(-4, -2) → (2, 4)

C': (2, 4)

(2, 4) is located where A is.

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y>x+1

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Given trapezoid PQRS, which of the following must be true?
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The trapezoid the legs are congruent to each other
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A=1/2bh solve for b
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A=\dfrac{1}{2}bh\ \ \ \ |multiply\ both\ sides\ by\ 2\\\\2A=bh\ \ \ \ \ |divide\ both\ sides\ by\ h\\\\\boxed{b=\dfrac{2A}{h}}
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Will mark brainliest! Questions are in the picture!
alexdok [17]

Answer:

52.9 inches .

Step-by-step explanation:

Given that the triangular indentation has an area of 100 in.² and the base and height of this traingle are represented by expressions 3x and x+3 respectively . We need to find out the <u>perimeter </u>to the nearest tenth.

As we know that the area of triangle is ,

\rm\longrightarrow Area_{\triangle}=\dfrac{1}{2}(base)(height)

Substituting the respective values,

\rm\longrightarrow 100\ =\dfrac{1}{2}(x+3)(3x)\\\\\rm\longrightarrow 2(100) = 3x(x+3)\\\\\rm\longrightarrow200 = 3x^2+9x\\\\\rm\longrightarrow 3x^2+9x-200=0

On using the <u>Quadratic</u><u> formula</u> , we have;

\rm\longrightarrow x =\dfrac{-9\pm\sqrt{9^2-4(3)(-200)}}{2(3)} \\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{81+1200}}{6}\\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{1281}}{6}

On simplifying above , we will get ,

\rm\longrightarrow x = 6.802,-9.802

Since sides can't be negative, therefore,

\rm\longrightarrow\underline{\underline{ x =6.802}}

Therefore ,

  • \rm\longrightarrow Base = 3x =3(6.802)in = 20.406\ in\\
  • \rm\longrightarrow Height = x +3=6.802+3=9.802\ in

Next let's find out the <u>hypotenuse </u>using Pythagoras theorem, as ;

\rm\longrightarrow h=\sqrt{ b^2+p^2}\\

\rm\longrightarrow h =\sqrt{ (20.406)^2+(9.802)^2}\\

\rm\longrightarrow h =\sqrt{416.40+96.07}\\

\rm\longrightarrow h = 22.63\ in

Now we may find perimeter as ,

\rm\longrightarrow P = p + b + h \\

\rm\longrightarrow P = (22.63 + 9.802 + 20.406)in.

\\\rm\longrightarrow P = 52.89 \ in.\\

\rm\longrightarrow \underline{\underline{ Perimeter = 52.9\ in .}}

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Number 4 is the correct answer
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