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REY [17]
3 years ago
6

MDI Solve the following system -2x + 2y = -2 2x + 3y = 12

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
6 0

Answer:

x = 2.25, y = 2.5

Step-by-step explanation:

-2x + 2y = -2 .............equ (1)

2x + 3y = 12 .............equ (2)

equ (1) + equ (2)

-2x + 2y = -2

+ 2x + 2y = 12

=> 0 + 4y = 10

=> 4y/4 = 10/4

=> y = 2½

Substitute for y in equ (2)

i. e, 2x + 3y = 12

=> 2x + 3(10/4) =12

=> 2x + 30/4 = 12

=> 2x = 12 - 30/4

=> 2x = (48 - 30)/4

=> 2x = 18/4

=> 8x = 18

=> x = 18/8

=> x = 2^2/8 or 2.25

x = 2.25, y = 2.5

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In the rhombus, m∠1 = 40°. Find m∠2.
den301095 [7]

Answer:

Option C is correct.

Step-by-step explanation:

Given: A rhombus.  m∠1 = 40°

To find: m∠2

We know that Rhombus is a parallelogram with all equal sides.

⇒ Opposite sides of the Rhombus are parallel.

Then Diagonal act as a traversal for parallel sides.

So, m∠2 = m∠1  ( Alternate Interior Angles are equal )

     m∠2 = 40°

Therefore, Option C is correct.

5 0
3 years ago
When rolling two dice what is the probability of rolling a sum of six or two even numbers.
MAVERICK [17]

The probability of rolling a sum of six or two even numbers.

is P = 1/3

<h3>How to find the probability?</h3>

Here we are rolling two dice, and each dice has 6 possible outcomes, then the total number of outcomes is:

6*6 = 36

Now, the outcomes that given a sum of 6 are:

dice 1    dice 2.

1              5

5              1

2              4

4              2

3             3

We have 5 outcomes there.

The outcomes where both numbers are even are:

dice 1    dice 2.

2             2

2             4

4             2

4             4

4            6

6             2

6             4

6             6

We have 8 outcomes here (such that 2 are in the ones we counted before).

Then the total number of outcomes that either add to 6 or have both even numbers are:

5 + 8 - 2 = 12

Then 12 out of 36 outcomes either add to 6 or have both even numbers, this means that the probability is:

P = 12/36 = 1/3

If you want to learn more about probability:

brainly.com/question/25870256

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7 0
2 years ago
Find an angle between 0 degrees and 360 degrees and that is coterminal with 1260 degrees.
GarryVolchara [31]

Answer:

<h2><u><em>The 180 degrees angle.</em></u></h2>

Step-by-step explanation:

We can start by dividing 1260 / 360 = 1080. Therefore, a 1080 degrees angle would be coterminal with 360.

Now we take 1260 - 1080, to see how many degrees we have left, this gives us: 180, therefore, the angle between 0 and 360 that is coterminal with 1260 degrees is the 180 degrees angle.

7 0
2 years ago
I-Ready
MakcuM [25]

Answer: y= 100x +1500

Step-by-step explanation:

The 1500 value never changes, so it doesn’t need a variable

The 100 value will change based on how many he sells, so it needs a variable

5 0
3 years ago
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Brainliest..............................................................
Natalija [7]

The answer of those that would support the fact that rational numbers are closed under addition would be the third one.

Hope I helped.

6 0
3 years ago
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