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3 years ago

How many solutions do consistent dependent lines have

1 answer:

5 0

A consistent system has at least 1 solution, it could have more.

a consistent system that has exactly 1 solution, is an independent system.

a consistent system that has infinitely many solutions, namely, both equations are really the same equation in disguise, is a dependent system.

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A hexagon has equal side lengths and angle measures. How many reflectional symmetry does the regular hexagon have?.

MatroZZZ [7]

The regular hexagon has 6 reflectional symmetries.

A regular hexagon has 6 congruent sides.

The number of sides of a polygon is the number of reflectional symmetry the polygon have.

Since the number of congruent sides of a regular hexagon is 6, then the regular hexagon has 6 reflectional symmetries.

Read more about reflectional symmetry at:

brainly.com/question/24584937

3 0

2 years ago

Read 2 more answers

I need help asap! 25 points

alukav5142 [94]

Answer:bc thats not the number included in the problem

Step-by-step explanation:

8 0

3 years ago

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Fully Factor 3x^2 – 16x + 20

ryzh [129]

Answer:

C. (3x2 - 10) (x - 2)

Step-by-step explanation:

3x^2 - 16x +20

Step 1: Sum = - 16x

Product = 60x^2

Step 2: Find 2 numbers that their sum is -16 and their product is 60. If you do that correctly, then you will get two numbers: 10 and -6

Step 3: Replace -16x with the two numbers found in step 2, then you will have; 3x^2 - 6x - 10x + 20

Step 4: Factorise the equation in step 3, like so;

(3x^2 - 6x)(- 10x + 20)

3x(x - 2) -10(x - 2)

(3x - 10)(x - 2)

To check if the answer is correct, expand the bracket: (3x - 10)(x - 2)

If the bracket is opened properly, you will get 3x^2 - 16x + 20

4 0

3 years ago

0.08x+0.03 (29000-x)=

pshichka [43]

0.08*x+0.03*(29000-x)<span> </span>

6 0

3 years ago

Read 2 more answers

Can you please help me find the area? Thank you. :)))

Phoenix [80]

The figure shown in the picture is a rectangular shape that is missing a triangular piece. To determine the area of the figure you have to determine the area of the rectangle and the area of the triangular piece, then you have to subtract the area of the triangle from the area of the rectangle.

The rectangular shape has a width of 12 inches and a length of 20 inches. The area of the rectangle is equal to the multiplication of the width (w) and the length (l), following the formula:

$A=w\cdot l$

For our rectangle w=12 in and l=20 in, the area is:

$\begin{gathered} A_{\text{rectangle}}=12\cdot20 \\ A_{\text{rectangle}}=240in^2 \end{gathered}$

The triangular piece has a height of 6in and its base has a length unknown. Before calculating the area of the triangle, you have to determine the length of the base, which I marked with an "x" in the sketch above.

The length of the rectangle is 20 inches, the triangular piece divides this length into three segments, two of which measure 8 inches and the third one is of unknown length.

You can determine the value of x as follows:

$\begin{gathered} 20=8+8+x \\ 20=16+x \\ 20-16=x \\ 4=x \end{gathered}$

x=4 in → this means that the base of the triangle is 4in long.

The area of the triangle is equal to half the product of the base by the height, following the formula:

$A=\frac{b\cdot h}{2}$

For our triangle, the base is b=4in and the height is h=6in, then the area is:

$\begin{gathered} A_{\text{triangle}}=\frac{4\cdot6}{2} \\ A_{\text{triangle}}=\frac{24}{2} \\ A_{\text{triangle}}=12in^2 \end{gathered}$

Finally, to determine the area of the shape you have to subtract the area of the triangle from the area of the rectangle:

$\begin{gathered} A_{\text{total}}=A_{\text{rectangle}}-A_{\text{triangle}} \\ A_{\text{total}}=240-12 \\ A_{\text{total}}=228in^2 \end{gathered}$

The area of the figure is 228in²

8 0

1 year ago