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2 years ago

How do patterns help solve problems

Mathematics

1 answer:

Strike441 [17]2 years ago

3 0

Answer:

Can help things alot more easier,

Step-by-step explanation:

For instance, all the multiples of 9. Add up to 9

etc.

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Keshav has $250 in his account. This is $75 more than his brother Nalin has in his account. Write and solve an addition equation

serious [3.7K]

175 250-75 that would be the answer

5 0

3 years ago

Read 2 more answers

What two numbers can add to 4 but multiple to -12

olasank [31]

Answer:

<em>Numbers: 6 and -2</em>

Step-by-step explanation:

<u>Equations</u>

This question can be solved by inspection. It's just a matter of factoring 12 into two factors that sum 4. Both numbers must be of different signs and they are 6 and -2. Their sum is indeed 6-2=4 and their product is 6*(-2)=-12.

However, we'll solve it by the use of equations. Let's call x and y to the numbers. They must comply:

$x+y=4\qquad\qquad [1]$

$x.y=-12\qquad\qquad [2]$

Solving [1] for y:

$y=4-x$

Substituting in [2]

$x(4-x)=-12$

Operating:

$4x-x^2=-12$

Rearranging:

$x^2-4x-12=0$

Solving with the quadratic formula:

$\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

With a=1, b=-4, c=-12:

$\displaystyle x=\frac{-(-4)\pm \sqrt{(-4)^2-4(1)(-12)}}{2(1)}$

$\displaystyle x=\frac{4\pm \sqrt{16+48}}{2}$

$\displaystyle x=\frac{4\pm 8}{2}$

The solutions are:

$\displaystyle x=\frac{4+ 8}{2}=6$

$\displaystyle x=\frac{4- 8}{2}=-2$

This confirms the preliminary results.

Numbers: 6 and -2

7 0

3 years ago

Which pair of triangles can be proven congruent by SAS?

ivolga24 [154]

Answer:

Second option

Step-by-step explanation:

They have two congruent pairs of sides and one congruent pair of angles.

4 0

1 year ago

Need help ASAP! Anyone know?

VARVARA [1.3K]

Answer: x= 29°

Step-by-step explanation: Add angles D and C. Subtract from 180.

58/2 = 29

6 0

2 years ago

Jim makes the chart shown below to prove that Triangle APD is congruent to triangle BPC:

Oliga [24]

Answer:

Given a square ABCD and an equilateral triangle DPC and given a chart with which Jim is using to prove that triangle APD is congruent to triangle BPC.

From the chart, it can be seen that Jim proved that two corresponding sides of both triangles are congruent and that the angle between those two sides for both triangles are also congruent.

Therefore, the justification to complete Jim's proof is "SAS postulate"

Step-by-step explanation:

6 0

2 years ago