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Nitella [24]
3 years ago
5

Please help! :) Need answer fast!

Mathematics
1 answer:
Vlada [557]3 years ago
5 0

Answer:

x = 3

y = 2

Step-by-step explanation:

When 2 triangles are congruent, they will have exact same 3 sides length and exact same 3 angles measure.

So we can say:

-2x + 6y = 6

and

-7x + 8y = -5

Let's multiply first equation by 7 and 2nd equation by -2, to get:

7 [-2x + 6y = 6] = -14x +42y = 42

and

-2 [-7x + 8y = -5] = 14x - 16y = 10

Now adding these 2 new equations and solving for y:

-14x +42y = 42

14x - 16y = 10

----------------------

26y = 52

y = 52/26

y = 2

Now we put y = 2 into 1st equation (or any other) and solve for x:

-2x + 6y = 6

-2x + 6(2) = 6

-2x + 12 = 6

6 = 2x

x = 6/2

x = 3

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3 years ago
-3/5 x 2/-9 x 8 write your answer in simplest form.
nata0808 [166]

Answer:

  16/15

Step-by-step explanation:

  \dfrac{-3}{5}\cdot\dfrac{2}{-9}\cdot 8=\dfrac{3\cdot 2\cdot 8}{5\cdot 9}=\dfrac{2\cdot 8}{5\cdot 3}=\dfrac{16}{15}

The two minus signs cancel, so the result is positive.

6 0
3 years ago
So the problem I got was "Ben is splitting 2 quarts of icecream with 9 members of the team. If the icecream is split evenly how
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Answer:

8/9 of a cup

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8 cups of icecream to be divided among 9 people, so they can't have full cups.

Each person will get 8/9 of a cup

4 0
3 years ago
Divide 12x 4 y 4 by 3x 2 y. A. 4x 6y 5 B. 4x 2y 3 C. 9x 6 D. 9x 2y 3
andrew-mc [135]

Answer:

\frac{12x^4y^4}{3x^2y}=4x^2y^3

Step-by-step explanation:

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Here, m and n are exponents and a is a base. Exponent refers to the no. of times a term is multiplied by itself. Another word for exponents is powers.

Other Properties of exponents:

a^m\times a^n=a^{m+n}\\a^0=1\\\left ( a^m \right )^n=a^{mn}

Here, we are required to divide 12x^4y^4 by 3x^2y.

Consider \frac{12x^4y^4}{3x^2y}

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Here,

\frac{12}{3}=4\\\frac{x^4}{x^2}=x^{4-2}=x^2\\\frac{y^4}{y}=y^3

So, \frac{12x^4y^4}{3x^2y}=4x^2y^3

8 0
2 years ago
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Answer:

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So, if two side lengths are 3 and 7, the length of the third side must be less than 10 units.

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Let me know if this helps!

5 0
2 years ago
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