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3 years ago

12

Solve the equations

1 answer:

valkas [14]3 years ago

8 0

A) 2x + 3y = 2. (1)
x - 2y = 8. (2)

modify (1) to be: 2x = 2-3y
= x = 1-1.5y

put (1) into (2) so: (1-1.5y)-2y = 8
-3.5 y = 7
3.5 y = -7
y = -7/3.5
y=-2

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Law of Cos

$c^2 = a^2 + b^2 - 2(a)(b)(\cos A)$

We know

a = 20

b = 20

A = Angle = 120

We need to solve for c

$c^2 = a^2 + b^2 - 2(a)(b)(\cos A)$

Take the square root of each side of the =

$\sqrt{c^2} = \sqrt{a^2 + b^2 - 2(a)(b)(\cos A)}$

$c = \sqrt{a^2 + b^2 - 2(a)(b)(\cos A)}$

Input the values we know into the formula and solve for c:

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$c = \sqrt{800 - 2(20)(20)(\cos 120)}$

$c = \sqrt{800 - 2(400)(\cos 120)}$

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4 years ago

What is the mode of this data set?

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3 years ago

Read 2 more answers

In<br>the figure AB // CD and m2=60<br>what is m8<br><br><br>

puteri [66]

The measure of ∠8 is 120°

Solution:

Given line AB parallel to line CD.

m∠2 = 60°

∠2 and ∠6 are corresponding lines.

<em>If two lines are parallel, then their corresponding lines are congruent.</em>

m∠2 = m∠6

m∠6 = 60°

<em>Sum of the adjacent angles in a straight line is 180°.</em>

m∠6 + m∠8 = 180°

60° + m∠8 = 180°

Subtract 60° from both sides.

60° + m∠8 - 60° = 180° - 60°

m∠8 = 120°

The measure of ∠8 is 120°.

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3 years ago