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Neko [114]
3 years ago
9

How do i solve this for x

Mathematics
1 answer:
Lostsunrise [7]3 years ago
3 0
C) The 2 triangles are similar , then we can write:

5x/45 = 20/36 . Cross multiplication:

5x*36 = 45*20
180x = 900   and x = 900/180 , x = 5 (and 5x = 25)

d) Remember the proportionality theorem (or Thales')
You can write the following proportion:
GH/HJ = KL/LM
8/6 = 10/x . Cross multiplication:

8x = 60 and x = 60/8 , x = 7.5

You might be interested in
Solve the 3 × 3 system shown below. Enter the values of x, y, and z. X + 2y – z = –3 (1) 2x – y + z = 5 (2) x – y + z = 4 (3)
Svet_ta [14]
<h2>Answer:</h2>

\boxed{x=1, \y=-1, \ z=2}

<h2>Step-by-step explanation:</h2>

We will use the Gaussian elimination method to solve this problem. To do so, let's follow the following steps:

Step 1: Let's multiply first equation by −2. Next, add the result to the second equation. So:

\begin{array}{ cccc }~~ x&+~~2~ y&-~~~~~ z&~=~-3\\&-~~~5~ y&+~~3~ z&~=~11\\~~ x&-~~~~~ y&+~~~~ z&~=~4\end{array}

Step 2: Let's multiply first equation by −1. Next, add the result to the third equation. Thus:

\begin{array}{ cccc }~~ x&+~~2~ y&-~~~~~ z&~=~-3\\&-~~~5~ y&+~~3~ z&~=~11\\&-~~~3~ y&+~~2~ z&~=~7\end{array}

Step 3: Let's multiply second equation by −35, Next, add the result to the third equation. Therefore:

\begin{array}{ cccc }~~ x&+~~2~ y&-~~~~~ z&~=~-3\\&-~~~5~ y&+~~3~ z&~=~11\\&&+~~\frac{ 1 }{ 5 }~ z&~=~\frac{ 2 }{ 5 }\end{array}

Step 4: solve for z, then for y, then for x:

\frac{ 1 }{ 5 } ~ z & = \frac{ 2 }{ 5 } \\ \\ \boxed{z & = 2}

-5y+3z &= 11\\-5y+3\cdot 2 &= 11\\ \\ \boxed{y &= -1}

By substituting y=-1 \ and \ z=2 into the first equation, we get the x. So:

x+2(-1)-2=-3 \\ \\ x-2-2=-3 \\ \\ \boxed{x=1}

6 0
4 years ago
Read 2 more answers
D 0,1 of x is?<br> A. (4,0)<br> B. (4,1)<br> C. (5,1)<br> *20 points!!!*
Lorico [155]

Answer:

4,0

Step-by-step explanation:

7 0
3 years ago
*Put in number form*
Cloud [144]
1- Two times the sum of four and eight
2 x (4+8)
2- Seven less than eight
8-7
3-The product of x squared and thirteen
13x²

4 0
2 years ago
A 10 2/3 -inch long pipe is cut into 8 equal length pieces. How long is each piece?
ch4aika [34]

Answer:

Each peice is 1 1/3 (4/3) long.

Step by step explanation:

10 2/3 divided by 8

10 2/3 = 32/3

32/3 divided by 8 = 32/3 x 1/8

32 times 1 = 32, 3 times 8 = 24 =32/24

32/24 in simplest form is 4/3 (aka 1 1/3)

Hope this helped! :)

3 0
3 years ago
your order comes in for new protective eye wear. you order five and a half dozen. how many individual protective eye wear should
Serga [27]
 You should have received  33 pairs of protective eyewear

To Check This:
1 dozen = 12
1/2 dozen = 6
5 dozen = 60

12x5=60+6=66
66 / 2 = 33 because a pair equals 2
4 0
4 years ago
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