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Natalija [7]
3 years ago
11

5.) -6x – 29 = 5x – 7

Mathematics
2 answers:
Umnica [9.8K]3 years ago
6 0

Answer: x= -2

Step-by-step explanation: first step is to add 7 to both sides. You’re left with -6x-22=5x. After this you’re going to add 6 to both sides. You get -22=11x. Now you divide both sides by 11 to get X by itself. You’re left with -2.

Akimi4 [234]3 years ago
5 0

Answer:

add 29 on both sides and then subtract 5x on both sides

-11x =22

divide by -11 on both sides

x= -2

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Which ordered pair (x,y) satisfies the system of equations shown below? 2x-y=6 x+2y=-2 A) (-6,2) B) (-2,2) C)(2,-2) D) (4,2)
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Step-by-step explanation:

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Step-by-step explanation:

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2 years ago
In isosceles right triangle ABC, point is on hypotenuse \overline{BC} such that \overline{AD} is an altitude of \triangle ABC an
Dmitriy789 [7]

Answer:

Area of triangle is 25.

Step-by-step explanation:

We have been given an isosceles right triangle

Isosceles triangle is the triangle having two sides equal.

Figure is shown in attachment

By Pythagoras theorem

BC^2=AC^2+AB^2

AD is altitude which divides the triangle into two parts

DC=5 implies BC =10 since D equally divides BC

Let AC=a implies AB=a being Isosceles

On substituting the values in the Pythagoras theorem:

10^2=a^2+a^2

100=2a^2

\Rightarrow a^2=50

\Rightarrow a=\pm5\sqrt{2}

WE can find area of right triangle by considering height AB and AD

Area of triangle ABC is:

\frac{1}{2}\cdot BC\cdot AD     (1)

\Rightarrow \frac{1}{2}\cdot 10\cdot AD

And other method of area of triangle is:

\frac{1}{2}\cdot AB\cdot BC       (2)

Equating (1) and (2) we get:

\frac{1}{2}\cdot 10\cdot AD=\frac{1}{2}\cdot a\cdot a

\Rightarrow AD=\frac{a^2}{10}

\Rightarrow AD=\frac{50}{10}=5

Using area of triangle is: \frac{1}{2}\cdot BC\cdot AD

Now, the area of triangle ABC=\frac{1}{2}\cdot 5\cdot 10

\Rightarrow 25



4 0
3 years ago
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