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Oxana [17]
2 years ago
15

Find the values of x and y!!

Mathematics
1 answer:
riadik2000 [5.3K]2 years ago
3 0

Answer:

1st option

Step-by-step explanation:

7x + 7 and 112 are vertically opposite angles and are congruent , then

7x + 7 = 112 ( subtract 7 from both sides )

7x = 105 ( divide both sides by 7 )

x = 15

4y and 112 are adjacent angles and sum to 180° , that is

4y + 112 = 180 ( subtract 112 from both sides )

4y = 68 ( divide both sides by 4 )

y = 17

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you have a 5-inch by 7-inch picture that you framed. When you hung the picture, you found that the entire area is 69.56 in. What
Montano1993 [528]

Answer:

d. 2.4 in

Step-by-step explanation:

So initially w/o frame the area was 5 x 7 = 35 sq in.

Now we have to add the width of the frame to both dimensions.

(5+w)(7+w) = 69.56 sq in

35 + 7w + 5w + w² = 69.56

w² + 12w + 35 = 69.56

w² + 12w - 34.56 = 0

I use the quadratic formula to solve this (x = -b±√b²-4ac / 2a). I cheat by using a quadratic program on the calculator :,)

w = 2.4

w = -14.4

Since we can't have a negative width, the answer must be <u>w = 2.4 inches.</u>

You can also just plug the answer choices one-by-one into the calculator with guess-and-check because this is multiple choice.

4 0
3 years ago
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(10+4×4×4×4+22)÷4/8?? what is the answer??​
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Answer:

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Step-by-step explanation:

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2 years ago
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Find the area of the polygon with vertices of A(2, 2), B(2, 7), C(8, 7),<br> and D(4, 2)
elena-s [515]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
- If f ( x ) = x² + 2x - 1 and g ( x ) = 3x - 2 , then verify the following :
RideAnS [48]

Step-by-step explanation:

Hey there!

Given;

f ( x ) = x² + 2x - 1

g ( x ) = 3x - 2

To verify:

( \frac{f}{g} )(2) =  \frac{f(2)}{g(2)}

LHS:

(\frac{f}{g} )(x) =  \frac{ {x}^{2}  + 2x - 1}{3x - 2}

~ Insert "2" instead of "x".

(\frac{f}{g} )(2) =  \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}

Simplify it;

\frac{f}{g} (2) =  \frac{4 + 4 - 1}{6 - 2}

Therefore; (f/g)(2) = 7/4.

RHS:

\frac{f(x)}{g(x)}  =  \frac{ {x}^{2}  + 2x - 1}{3x - 2}

~Insert "2" instead of"x".

\frac{f(2)}{g(2)}  =  \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}

Simplify it.

\frac{f(2)}{g(2)}  =  \frac{4 + 4 - 1}{6 - 2}

Therefore, f(2)/g(2) = 7/4.

Since (f/g)(2) = f(2)/g(2) = 7/4.

<em><u>Proved!</u></em>

<u>Hope </u><u>it </u><u>helps</u><u>!</u>

3 0
3 years ago
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