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jek_recluse [69]
3 years ago
6

PLEASE HELP FAST!!!! Fill in the blanks Solve using the elimination method

Mathematics
1 answer:
Rainbow [258]3 years ago
6 0

Answer: Look below

Step-by-step explanation:

1(10x-6y)=-16

3(5x+2y)=66

10x-6y=-16

15x+6y=66

-25x=50

x=-2

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The sides of a rhombus with angle of 60° are 6 inches. Find the area of the rhombus.
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1. Check the drawing of the rhombus ABCD in the picture attached.

2. m(CDA)=60°, and AC and BD be the diagonals and let their intersection point be O.

3. The diagonals:
     i) bisect the angles so m(ODC)=60°/2=30°

     ii) are perpendicular to each other, so m(DOC)=90°

4. In a right triangle, the length of the side opposite to the 30° angle is half of the hypothenuse, so OC=3 in.

5. By the pythagorean theorem, DO= \sqrt{ DC^{2}- OC^{2} }=  \sqrt{ 6^{2}- 3^{2} }=\sqrt{ 36- 9 }=\sqrt{ 27 }= \sqrt{9*3}= 
=\sqrt{9}* \sqrt{3} =3\sqrt{3}  (in)

6. The 4 triangles formed by the diagonal are congruent, so the area of the rhombus ABCD = 4 Area (triangle DOC)=4*\frac{DO*OC}{2}=4 \frac{3 \sqrt{3} *3}{2}==2*9 \sqrt{3}=18 \sqrt{3} (in^{2})

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3 years ago
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timama [110]

Step-by-step explanation:

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What is 5.3809 rounded to the nearest thousandth?<br>Enter your answer ​
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Step-by-step explanation:

5 0
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Read 2 more answers
Which expression is equivalent to (-1.3x-4.5) - (-2.1x+3.6)?
timurjin [86]

Equivalent expressions are expressions with the same value.

The equivalent expression of (-1.3x - 4.5)- (-2.1x + 3.6) is 0.8x -8.1

Given that:

(-1.3x - 4.5)- (-2.1x + 3.6)

Open brackets

(-1.3x - 4.5)- (-2.1x + 3.6) = -1.3x - 4.5+ 2.1x - 3.6

Collect like terms

(-1.3x - 4.5)- (-2.1x + 3.6) = -1.3x + 2.1x - 4.5 - 3.6

(-1.3x - 4.5)- (-2.1x + 3.6) = 0.8x -8.1

Hence, the equivalent of (-1.3x - 4.5)- (-2.1x + 3.6) is 0.8x -8.1

Read more about equivalent expressions at:

brainly.com/question/18257981

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3 years ago
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