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3 years ago

MARKING BRAINLIEST Find the angle measure

Mathematics

2 answers:

pantera1 [17]3 years ago

8 0

Answer:

Each angle = 117

Step-by-step explanation:

Parallel lines cut by a transversal have only 2 possible answers for each angle. The two answers are supplementary to each other. These two angles are obtuse (both of them) so they are equal.

42x - 9 = 35x + 12 Add 9 to both sides

42x = 35x + 12 + 9 Combine

42x = 35x + 21 Subtract 35x from both sides

42x - 35x = 21 Combine

7x = 21 Divide by 7

x = 21/7

x = 3

That's not the answer

42x - 9

42*3 - 9

126 - 9

117

emmainna [20.7K]3 years ago

4 0

Answer:

42x - 9 = 35x + 12

42x - 35x = 12 + 9

7x = 21

x = 3

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Stacey has a square piece of cloth. She cuts 3 inches off of the length of the square and 3 inches

Mamont248 [21]

Answer:

6 in

Step-by-step explanation:

Let x = the side length of the original square.

They removed 3 in from each side of the original square, so the side lengths of the remaining square are x - 3 in.

The area of the smaller square is (x - 3)².

The area of the original square is x²

I assume the area of the smaller square is ¼ that of the original square. Then

1. Solve for x

$\begin{array}{rcl}\frac{1}{4}x^{2} & = & (x - 3)^{2}\\x^{2} & = & 4(x - 3)^{2}\\& = & 4(x^{2} - 6x + 9)\\x^{2}& = & 4x^{2} - 24x + 36\\3x^{2} - 24x + 36 & = & 0\\x^{2} - 8x + 12 & = & 0\\(x - 2)(x - 6) & = & 0\\x - 2 = 0& \qquad &x - 6 = 0\\x = 2& \qquad &x = 6\\\end{array}$

2. Calculate the side length of the smaller square

(a) x = 2

Side length = x - 3 = 2 - 3 = -1 in.

IMPOSSIBLE. You can't have a negative side length.

(b) x = 6

Side length of smaller square = 6 - 3 = 3 in.

Side length of original square = x = 6 in

Check:

$\begin{array}{rcl}\frac{1}{4}(6)^{2} & = & (6 - 3)^{2}\\\frac{1}{4}\times 36 & = & 3^{2}\\9 & = & 9\\\end{array}$

OK.

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Answer:

Step-by-step explanation:

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Answer:

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