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3 years ago

If correct then I’ll mark brainlist

Mathematics

1 answer:

Leto [7]3 years ago

5 0

Answer:

(-11, -12)

Step-by-step explanation:

we need one variable to x out

on the note of x, lets cancel out the xs

6x+3y=-102

3x+y=-45 < same as 6x+2y-90

6x+3y=-102

6x+2y=-90

y=-12

substitute y in

3x-12=-45

3x=-33

x=-11

(-11, -12)

Please give brainliest :)

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Find the values of x, y, and z. The diagram is not to scale.

Kruka [31]

we know that

The sum of the internal angles in the triangle must be $180$ degrees

see the attached figure with letters to better understand the problem

Step $1$

Find the measure of the angle x

In the triangle ABC

$63\°+36\°+x\°=180\°$

solve for x

$99\°+x\°=180\°$

$x\°=180\°-99\°$

$x=81\°$

therefore

the answer Part a) is

the measure of angle x is $81\°$

Step $2$

Find the measure of the angle z

we know that

$x+z=180\°$ --------> by supplementary angles

substitute the value of x

$81\°+z=180\°$

$z=180\°-81\°$

$z=99\°$

therefore

the answer Part b) is

the measure of angle z is $99\°$

Step $3$

Find the measure of the angle y

In the triangle ACD

$13\°+z\°+y\°=180\°$

solve for y

$13\°+99\°+y\°=180\°$

$112\°+y\°=180\°$

$y\°=180\°-112\°$

$y\°=68\°$

therefore

the answer Part c) is

the measure of angle y is $68\°$

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3 years ago

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Steve is installing a new water fountain in Mountain View Middle School. He sets the water to flow according to the equation g =

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Answer:

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Step-by-step explanation:

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3 years ago

A factory has three machines making energy drinks. When all three machines are running, 520 drinks are made each hour. When only

Vinil7 [7]

Let A, B and C be the amount machines A, B and C, respectively, produce each hour alone.

With all three machines together produce 520 drinks each hour, we know that the addition of the amount that each produces each hour is equal to 520, that is.

$A+B+C=520_{}$

Now, similarly, machines A and B produce together 320 drinks each hour, so the sum of the amounts A and B produce each hour is equal to 320, so:

$A+B=320$

If machine C produce 30 more drinks than B each hour, than the amount of B plus 30 will be the amount of C:

$C=B+30$

So, we got the system of equations:

$\begin{gathered} A+B+C=520 \\ A+B=320 \\ C=B+30 \end{gathered}$

To solve, notice that A + B is known, because of the second equation, so we can substitute A + B by 320 in the first equation:

$\begin{gathered} (A+B)+C=520 \\ 320+C=520 \\ C=520-320=200 \end{gathered}$

Now, we can substitute C into the third equation and solve for B:

$\begin{gathered} C=B+30 \\ 200=B+30 \\ B+30=200 \\ B=200-30=170 \end{gathered}$

And, finally, we can substitute B into the second equation and solve for A:

$\begin{gathered} A+B=320 \\ A+170=320 \\ A=320-170=150 \end{gathered}$

Answers:

First box:

$A+B+C=520$

Second box:

$A+B=320$

Third box:

$C=B+30$

Fourth box:

$150$

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maria [59]

Answer:

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Step-by-step explanation:

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