All categories

3 years ago

I'm confused on how to go about solving this, I got to this part:

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

6 0

Answer:

(3, -4, 6)

Step-by-step explanation:

The last equation has 2 variables

If we double the first equation and subtract the second one from it, we get rid of y and then comparing the new equation with the last one we can easily solve it

Step 1

2(2x + y + 3z) = 2*20
4x + 2y + 6z = 40

Step 2

4x - x + 2y - 2y + 6z - (-z) = 40 - (-11)
3x + 7z = 51

Step 3

3x + 7z - (3x - 2z) = 51 - (-3)
7z + 2z = 54
9z = 54
z = 6

Then finding x

3x - 2*6 = -3
3x = 12 - 3
3x = 9
x = 3

Then finding y using the first equation

2*3 + y + 3*6 = 20
y + 24 = 20
y = -4

The answer:

(3, -4, 6)

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Step-by-step explanation:

Let x = Price of each small box, y= price of each large box.

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3 years ago

Need help can anyone help me???

Paladinen [302]

Answer:

it is greater than 45°

Step-by-step explanation:

From the relationship of angles and secants/tangents, we have ...

m∠GSO = (long arc GO -arc GT)/2

Solving for (long arc GO), we have ...

2(m∠GSO) +arc GT = (long arc GO)

We know that (long arc GO) > 180°, so we can write ...

2(m∠GSO) +90° > 180° . . . . arc GT = 90°

2(m∠GSO) > 90° . . . . . . subtract 90°

m∠GSO > 45° . . . . . . . . divide by 2

_____

Alternate solution

Inscribed ∠GOT has half the measure of arc GT, so is 45°.

You know that if angle G were 90°, then the right triangle would be isosceles, and angle S would also be 45°. In this triangle, arc GTO is less than 180°, so angle G is less than 90°.

When angle G gets smaller, the sum of angles remains the same, so angle S must be larger than 45°.

This reasoning is written more formally in the math above.

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