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3 years ago

6

The figures shown are similar

2 answers:

Usimov [2.4K]3 years ago

5 0

Answer:

The answer is A I TOOK THE TEST

Step-by-step explanation:

9966 [12]3 years ago

3 0

The answer is A

3/4

good luck

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In order to solve the following system of equations by addition, which of the

Pavlova-9 [17]

Answer:

Multiply the top equation by -3 and the bottom equation by 2

Step-by-step explanation:

Given <u>system of equations</u>:

$\begin{cases}4x-2y=7\\3x-3y=15 \end{cases}$

To solve the given system of equations by addition, make one of the variables in both equations <u>sum to zero</u>. To do this, the chosen variable must have the <u>same coefficient</u>, but it should be <u>negative</u> in one equation and <u>positive</u> in the other, so that when the two equations are added together, the variable is <u>eliminated</u>.

<u>To eliminate the </u><u>variable y</u>:

Multiply the top equation by -3 to make the coefficient of the y variable 6:

$\implies -3(4x-2y=7) \implies -12x+6y=-21$

Multiply the bottom equation by 2 to make the coefficient of the y variable -6:

$\implies 2(3x-3y=15) \implies 6x-6y=30$

Add the two equations together to <u>eliminate y</u>:

$\begin{array}{l r r}& -12x+6y= &-21\\+ & 6x-6y= & 30\\\cline{1-3}& -6x\phantom{))))))} = & 9\end{array}$

<u>Solve</u> for x:

$\implies -6x=9$

$\implies x=-\dfrac{9}{6}=-\dfrac{3}{2}$

<u>Substitute</u> the found value of x into one of the equations and <u>solve for y</u>:

$\implies 3\left(-\dfrac{3}{2}\right)-3y=15$

$\implies -\dfrac{9}{2}-3y=15$

$\implies -3y=\dfrac{39}{2}$

$\implies y=-\dfrac{39}{2 \cdot 3}$

$\implies y=-\dfrac{13}{2}$

Learn more about systems of equations here:

brainly.com/question/27868564

brainly.com/question/27520807

3 0

2 years ago

Read 2 more answers

If BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6, what are the values of x and AC?

Keith_Richards [23]

Answer: x=7 and AC = 44 unuts.

Step-by-step explanation:

We know that the diagonals of a parallelogram bisect each other. (i)

Here in parallelogram ABCD , AC and Bd are diagonals intersecting at E.

BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6

Using (i)

$BE=\dfrac{BD}{2}\\\\2x+2=\dfrac{5x-3}{2}\\\\ 2(2x+2)=5x-3\\\\ 4x+4= 5x-3\\\\ 5x-4x=4+3\\\\ x= 7$

Now , AE = 4(7)-6 = 28-6 = 22

AC =2 AE = 2 (22) =44 units.

Hence, x=7 and AC = 44 unuts.

3 0

3 years ago

Solve each of these equations.<br><br> 1. 2(x+5)=3x+1<br><br> 2. 3y−4=6−2y<br><br> 3. 3(n+2)=9(6−n)

Anastasy [175]

Answer:

1. x=9

2. y=2

3. n=4

hello just helping out!

6 0

3 years ago

Select the inequality that represents the graph.

vagabundo [1.1K]

The second option is correct, I,e what you've chosen

6 0

3 years ago

The temperature in Miami, Florida is 22 degrees warmer than three times the temperature in Bangor, Maine. The temperature in Mia

Nastasia [14]

Answer:

$y=\frac{x-22}{3} ; y=20$

Step-by-step explanation:

Let Temperature of Maimi $T_{m}$ and that of Bangor be $T_{b}$

Given in the condition is $T_{m}$ is 22 more than 3 times $T_{b}$

i.e. $T_{m}$ = 22+ 3 * $T_{b}$

Hence

$T_{m} - 22 = 3 * T_{b}$

$T_{b} = \frac{T_{m}-22}{3}$

Here also we are given that $T_{m}$ =82

$T_{b} = \frac{82-22}{3}$

$T_{b} = \frac{60}{3}$

$T_{b} = 20$

8 0

3 years ago

Read 2 more answers