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solmaris [256]
3 years ago
13

(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)

<u>Step-by-step explanation:</u>

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)

<u></u>

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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

<em>Find the value of y</em>

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

5 0
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.

4 0
1 year ago
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astraxan [27]

Answer:

Step-by-step explanation:

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6 0
3 years ago
√2+1<br> b) Rationalize the denominator:<br> √2+1
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Answer:

there is not a complete question here ...

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Step-by-step explanation:

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Answer:

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

hope this helps!

3 0
2 years ago
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