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3 years ago

Solve the following system by the substitution method.1/4x+2/3y=-17/43x-y=3

1 answer:

6 0

3x - y = 3.....3x - 3 = y

1/4x + 2/3(3x - 3) = -17/4
1/4x + 2x - 2 = -17/4 ...multiply everything by 4
x + 8x - 8 = -17
9x = -17 + 8
9x = - 9
x = -1

3x - y = 3
3(-1) - y = 3
-3 - y = 3
-3 - 3 = y
-6 = y

solution is (-1,-6)

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Answer:

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If you move the decimal to the right, the exponent is negative.

Express

0.000 000 03 g

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This gives

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You moved the decimal 8 places to the right.

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0.000 000 03 g

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Step-by-step explanation:

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3 years ago

Given the m<8=45, find the other angle measures. Be able to say how you found each angle measure. PLEASE help!

iris [78.8K]

Answer:

m<1 = 135°, m<2 = 45°, m<3 = 135°, m<4 = 45°, m<5 = 135°, m<6 = 45°, m<7 = 135°

Step-by-step explanation:

We know that a straight line always gives us a measure of 180° total. This would mean 180° = m<8 + m<7. So, if we plug in the real value of m<8, we get 180 = 45 + m<7. From there, we can subtract 180 by 45, and we get 135° = m<7.

We know that vertical angles are congruent - so m<5 is the same as m<7 - making m<5 = 135° as well. This could also apply to m<8 and m<6, so m<6= 45°.

From there, we can also say that alternate interior angles are congruent to each other - meaning m<5 = m<3, and m<6 = m<4. So, m<3 = 135° and m<4 = 45°.

Alternate exterior angles are congruent too, which means m<8 = m<2, and m<7 = m<1. So, m<2 = 45° and m<1 = 135°.

In summary,

m<7 = 135° because angle subtraction.

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On a coordinate plane, △ABC has points (-2, 7), (-2, 3), and (-6, 3) and △DEF has points (-2,-10), (-2, -2), and (6, -2).

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Answer:

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Step-by-step explanation:

Required

Fill in the gaps

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Now to fill in the gap with:

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