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2 years ago

9

Figure ABCD is a parallelogram.

2 answers:

kobusy [5.1K]2 years ago

8 0

Answer:

A

First prove Triangle ABC is congruent to Triangle CDA, and then state AD and BC are corresponding sides of the triangles.

Hope this helps!

Please Mark Brainleast!!!

Annette [7]2 years ago

7 0

Answer: the answer is a

Step-by-step explanation:

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Suppose you got 8 mangoes and 3 apples for $18 and 3 mangoes and 5 apples for $14.50.

Mandarinka [93]

Let x = cost of mango
y = c of apples
<span>8x+3y=18.
3x+5y=14.5 </span>

<span> </span>
<span>24x+9y=54
24x+40y=116
multiplying them with 3 and 8 resectively. </span>
<span>subtract one from the other we get </span>
<span>40y-9y=116-54 </span>
<span>31y=62 </span>
<span>y=2.
cost of apple=2$ per apple
</span><span>8x+3y=18,
8x+3(2)=18.
8x=12. x=12/8=1.5 </span>
<span>cost of mango i= 1.5 $ per mango
hope this helps</span>

7 0

3 years ago

Solve the following systems by Elimination

Alenkasestr [34]

Answer:

The solutions for both system of equations are as follows:

(5,2)
(2,-1)

Step-by-step explanation:

The first set of equations is:

$4x+6y=32\\3x-6y=3\\$

It can clearly be seen that the coefficients of y are already same in magnitude with different signs so we have to add both equations

So adding both equations, we get

$4x+6y+3x-6y = 32+3\\7x = 35\\\frac{7x}{7} = \frac{35}{7}\\x = 5$

Putting x=5 in equation 1

$4(5)+6y = 32\\20+6y = 32\\6y = 32-20\\6y = 12\\\frac{6y}{6} = \frac{12}{6}\\y = 2$

The solution is (5,2)

The second set of simultaneous equations is:

$-3x+5y=-113x+7y=-1$

We can see that the coefficients of x in both equations are same in magnitude with opposite signs so

Adding both equations

$-3x+5y+3x+7y = -11-1\\12y = -12\\\frac{12y}{12} = \frac{-12}{12}\\y = -1$

Putting y= -1 in first equation

$-3x+5(-1)=-11\\-3x-5=-11\\-3x=-11+5\\-3x=-6\\\frac{-3x}{-3} = \frac{-6}{-3}\\x = 2$

The solution is: (2,-1)

Hence,

The solutions for both system of equations are as follows:

(5,2)
(2,-1)

3 0

2 years ago

Please help me , fast

Vesnalui [34]

Answer:

0.3 with the hat ? the answer is first no, then it's a repeated decimal.

Step-by-step explanation:

5 0

2 years ago

Create an equation from the following statement<br> of 15% of 24

Murljashka [212]

15 percent of 24
(15/100) * 24
3.6

4 0

2 years ago

Solve the system of equations algebraically.<br> 4x - 3y = 6<br> 6x - 5y = 6

muminat

Answer: x=6 y=6

Step-by-step explanation:

$\displaystyle\\\left \{ {{4x-3y=6} \atop {6x-5y=6}} \right.\\$

Since the right parts of the equation are equal, therefore the left parts of the equation are also equal:

$4x-3y=6x-5y\\4x-3y+5y=6x-5y+5y\\4x+2y=6x\\4x+2y-4x=6x-4x\\2y=2x\\$

Divide both parts of the equation by 2:

$y=x\\Hence,\\4x-3x=6\\x=6\\Thus,\\x=y=6$

3 0

1 year ago