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3 years ago

(I NEED THIS ANSWERED QUICKLY! I WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!)

Mathematics

1 answer:

Scrat [10]3 years ago

7 0

C. Coordinates of D' (-6,3)

Step-by-step explanation:

When any figure is rotated 180° in the counterclockwise direction, then the coordinates of the vertices is changed into its opposite sign.

(x, y) → (-x, -y)

The coordinates of the vertices of quadrilateral ABCD is changed when it is rotated 180 degrees counterclockwise about the origin as,

A (7,-7) → A'(-7,7)

B (4,-10) → B' (-4,10)

C (1.5, -2.5) → C' (-1.5, 2.5)

D (6, -3) → D'(-6,3)

So the coordinates of D' will be (-6,3)

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An investor invested a total of $2,800 in two mutual funds. One fund earned 5% profit while the other earned 3% profit. If the i

Natasha_Volkova [10]

Answer:

The amount invested in the mutual fund that earned 5% was $1,000

The amount invested in the mutual fund that earned 3% was $1,800

Step-by-step explanation:

Let

x ----> the amount invested in the mutual fund that earned 5%

y ----> the amount invested in the mutual fund that earned 3%

we know that

$x+y=2,800$ ----> $y=2,800-x$ ----> equation A

$5\%=5/100=0.05$

$3\%=3/100=0.03$

$0.05x+0.03y=104$ ----> equation B

Solve the system by substitution

substitute equation A in equation B

$0.05x+0.03(2,800-x)=104$

Solve for x

$0.05x+84-0.03x=104$

$0.05x-0.03x=104-84$

$0.02x=20$

$x=\$1,000$

Find the value of y

$y=2,800-x$

$y=2,800-1,000=\$1,800$

therefore

The amount invested in the mutual fund that earned 5% was $1,000 and the amount invested in the mutual fund that earned 3% was $1,800

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3 years ago

Tonya and Pearl each completed a separate proof to show that the alternate interior angles AKL and FLK are congruent. Who comple

Keith_Richards [23]

Answer: Pearl

Step-by-step explanation:

In step 2, she justified her step by the definition of vertical angles. However, angles AKL and GKB do not share a common side, meaning they are not adjacent angles.

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1 year ago

What is the equation of a circle that has a diameter of 10 units if its center is at (3,8)?

astraxan [27]

Answer:

Step-by-step explanation:

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3 years ago

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Misha Larkins [42]

Answer:

there is not a complete question here ...

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if it were you would multiply the rational expression (the fraction)

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which is 1

Step-by-step explanation:

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2 years ago

Describe the graph of x>-2

tekilochka [14]

Answer:

A dotted line going through -2 on the x axis, with the right side of the graph shaded in.

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