What is the value of x in this diagram? Please help

Mathematics

1 answer:

marshall27 [118]3 years ago

7 0

Answer: x=75

Explanation:
x+10+x+20=180
combine like terms
2x+30=180
subtract 30 from each side
2x=150
divide each side by 2
x=75

You might be interested in

I keep getting confused I don't understand what I keep doing wrong

rosijanka [135]

$\bf \begin{cases}
5x+3y+z=-14\\
2x-2y-z=-13\\
3x+y+3z=-2
\end{cases}$

so.. let's us eliminate, say "z" first, so for that, let's pick the 1s and 2nd equations there $\bf \begin{array}{llll}
5x+3y+z=-14\\
2x-2y-z=-13\\
----------\\
\boxed{7x+y+0\ =-27}
\end{array}$

so, that's our first two-variables resultant

let's pick other two, and again, eliminate the same "z" variable, this time, let's use the 2nd and 3rd equations $\bf \begin{array}{llll}
2x-2y-z=-13&\times 3\implies &6x-6y-3z=-39\\
3x+y+3z=-2\implies &&3x+y+3z\ =-2\\
&&----------\\
&&\boxed{9x-5y+0\ =-41}
\end{array}$

now, we have two two-variables equations, let's use them then
and say, we'll eliminate the "y" variable from them

$\bf \begin{array}{llll}
7x+y=-27& \times 5\implies &35x+5y=-135\\
9x-5y=-41\implies &&9x-5y=-41\\
&&-------\\
&&44x+0=-176
\end{array}
\\\\\\
x=\cfrac{-176}{44}\implies \boxed{x=-4}
\\\\\\
\textit{now, that we know x = -4, let's plug that in }7x+y=-27
\\\\\\
7(-4)+y=-27\implies y=-27+28\implies \boxed{y=1}$

$\bf \textit{now, let's plug those two at }5x+3y+z=-14
\\\\\\
5(-4)+3(1)+z=-14\implies -20+3+z=-14\implies z=-14+17
\\\\\\
\boxed{z=3}$

7 0

3 years ago

How to divide a whole number by a whole number, keep change flip? example 3 divided by 6.

adell [148]

Answer:

Step-by-step equation

Divide the whole numbers and check the answer using multiplication identify and apply to division properties of one identify and apply the division properties of zero use Long division algorithm to divide digit numbers Gentefied the divisor and remainder in a division problem

7 0

3 years ago

the perimeter of the rectangle is 36 feet. the length is 2 less than 3 times the width. what is the length? what is the width

Sunny_sXe [5.5K]

Answer:

Step-by-step explanation: 2 4 1 5 2 1 3 1 3 1 3 4 2 44 5 3 i dont know

4 0

3 years ago

(2²)⁴ ∶ 2³ = <br> Ayudenme porfa

MatroZZZ [7]

Step-by-step explanation:

$= ( {2}^{2})^{4} \div {2}^{3}$