Draw the polygon with the given vertices in a coordinate plane.


(3,2),(4,7),(6,0)

Solution of the system of equation 3x + y = 5 , 5x + 2y = 9 using matrix is x =1 and y =2.

As given in the question,

System of equation:

3x + y = 5 ,

5x + 2y = 9

In matrix form :

[tex]\left[\begin{array}{ccc}3&1\\5&2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}5\\9\end{array}\right][/tex]

[tex]D = \left[\begin{array}{ccc}3&1\\5&2\end{array}\right][/tex]

   = (3)(2) -(5)(1)

   =1

[tex]D_{x} = \left[\begin{array}{ccc}5&1\\9&2\end{array}\right][/tex]

     = 10 -9

     = 1

[tex]D_{y} = \left[\begin{array}{ccc}3&5\\5&9\end{array}\right][/tex]

    = 27 -25

    = 2

[tex]x= \frac{D_{x}}{D}[/tex]

  = 1

[tex]y =\frac{D_{y}}{D}[/tex]

  =2

Therefore, solution of the system of equation 3x + y = 5 , 5x + 2y = 9 using matrix is x =1 and y =2.

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Answer:

No

Step-by-step explanation:

No. Congruent triangles should also have corresponding congruent side lengths.

Jaden is incorrect. two triangles are not congruent if their interior angles are congruent.

The correct option is C.

Two triangles are said to be congruent if the three sides and the three angles of both the triangles are equal in any orientation.

Given, statement

two triangles are congruent if their interior angles are congruent.

Even when two triangles have all angles same,

they can still have sides of different lengths.

However, the ratio of lengths of corresponding sides will be same.

But in this case, they will be called 'similar' triangles, not congruent.

For example, in the image below, both triangles are equilateral and have all angles equal but they are not congruent.

Hence,  two triangles with congruent angles are not congruent, Jaden is incorrect.

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Answer:

$3

Step-by-step explanation:

(80-62) ÷ 3

Answer: A

Step-by-step explanation:

You have your slope (mx) which is 6, so it would look like 6x. We have our points and can see that y is 4. Put it all together using the slope formula to get y = 6x + 4

Answer:

$34.87

Step-by-step explanation:

20% of $43.59

[tex]\frac{20}{100} X \frac{43.59}{1}[/tex] = [tex]\frac{1}{5} X \frac{43.59}{1}[/tex] = [tex]\frac{43.59}{5}[/tex] = $8.718

Therefore the price is, $43.59 - $8.718 = $34.87

Answer:

The answer is $34.87

Step-by-step explanation:

$43.59- 8.72=$34.87

20% of $43.59 is $8.72

So, your answer will be $34.87

$43.59- 8.72=$34.87

Hope this help you also have an Amazing Day!!

Answer:

n = 4

Step-by-step explanation:

[tex]Cross \;Multiply[/tex]

[tex]3*n=3n[/tex]

[tex]2*6=12[/tex]

[tex]3n=12[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}3[/tex]

[tex]\frac{3n}{3}=\frac{12}{3}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]n=4[/tex]

[RevyBreeze]

Answer:

Step-by-step explanation:

Depending on the tools available to your 11y.o., it's a typical question for linear inequalities.

Where a,b,c are the # of 1,15,50 coins given by the buyer, and d,e,f the # of coins given back by the seller.

1×a + 15×b + 50×c > 1×d + 15×e + 50×f

a+b+c+1>=d+e+f

a+b+c >=2

Now, there are other clues in the text :

If the seller gives back money, then you didn't pay with 1's, otherwise, it means you overpay and you could have given fewer coins. So a=0.

Similarly, the seller cannot give you back a coin of 50, otherwise, you could have given fewer coins as the buyer. So f=0.

So that gives :

15×b + 50×c > 1×d + 15×e

b+c+1>=d+e

b+c >=2

From that point on, there is only a handful of scenarios to test.

The infinite sum is (first term) divided by (1 minus the common ratio). The first term is 6(1/4) = 3/2; the common ratio is 1/4:

[tex]S=\frac{\frac{3}{2} }{1-\frac{1}{4} } =\frac{\frac{3}{2} }{\frac{3}{4} } =(\frac{3}{2} )*(\frac{4}{3} )=2[/tex]

The terms after n=16 are tiny and will certainly bring the sum down only a tiny bit.

So to the nearest whole number the sum of the finite geometric series is 2.

Answer:

Decimals:

0.72, 0.25, 5.0, 0.05

Fractions in simplest forms:

18/25, 1/4, 5/1, 1/20

Step-by-step explanation:

To convert percentages into decimals:

You divide the percentage by 100.

To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.

To convert a percent to a fraction, we have to remove the percent sign and divide the given number by 100. And, then we express the fractional form of the percentage in the simplest form. For example, 1% is 1/100, 2% is 2/100 which can be reduced to 1/50.

Hope this helps and Brainliest please.

Answer:

height is = 3/2 ft

Step-by-step explanation:

a cones volume can be represented by 1/3(h)(pi)(r^2)

we must go backwards to find this question out

if the diameter is 2/3 then the radius is 1/3

then you must square that

that is 1/3 * 1/3 which is 1/9

1/9(1/3)(pi)(h) is 1/18(pi)

we can remove pi from both sides and multiply the 1/9 and the 1/3

1/27(h) = 1/18

we must find the lcm or least common multiple to figure this out

the lcm is 54

1/27 is essentially 2/54 and 1/18 is 3/54

2/54(h) = 3/54

we can multiply each side by 54

2h = 3

divide 2 on both sides

h is 3/2

Answer:

-7(2)-10 = -24

Step-by-step explanation:

-7(2) = -14(+-10) = -14-10=-24

Answer:

i don't know too

Step-by-step explanation:

I think this question is quite tough

Answer: it is 9

Step-by-step explanation: if you mean calculating range as in the highest and lowest number then yes. If you mean geometric or arithmetic calculation of range then it would just be the numbers you stated.

Answer:

The median 3.5 the mean is 3.5 and the min is 0 max is 9

Step-by-step explanation:

to find the median cross out the nubers on the end if theres two ansewrs in the middle then do whatever number .5

Answer:

could you take a screen shot and link the graph pls?

Step-by-step explanation:

Answer:

368 Hamburgers

1,104 Cheeseburgers

Step-by-step explanation:

Answer:

2m²

Step-by-step explanation:

radius = circumference ÷ ( Pi ×2)

r = 15 ÷ ( 3.14 × 2)

= 2.388535032

rounded off = 2m²

Answer:

A, B, and D

Step-by-step explanation:

Answer:

143

Step-by-step explanation:

The shape on the right is scaled up by 13. 91/7 = 13 and 52/4 = 13

So we multiply 11*13 to get 143.

I hope this helped <3

The simplification of the expression (h² + 9·h - 1) × (-4·h + 3), involves the

multiplication of the terms. The error is therefore;

3. Calculating errors when distributing -1

The expansion of (h² + 9·h - 1) × (-4·h + 3), is given as follows;

(h² + 9·h - 1) × (-4·h + 3) = -4·h³ + 3·h² - 36·h² + 27·h + 4·h - 3

Which gives;

-4·h³ - 33·h² + 31·h - 3

The calculation is therefore;

[tex]\begin{array}{|c|c|c|c|}&h^2&+9 \cdot h & -1\\-4 \cdot h&-4\cdot h^3&-36\cdot h^2 &4 \cdot h\\+3& 3 \cdot h^2&27 \cdot h&3\end{array}\right][/tex]

The error is therefore, in the distribution of the -1

The correct option is;

3. Calculating errors when distributing -1

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Answer:

A circle of radius = 2.75 or diameter = 5.5 or circumference = 17.28 m has an area of: 2.376E-5 square kilometers (km²) 23.76 square meters (m²)

Step-by-step explanation:

it is what it is

Answer:

d

=

2

r

=

2

·

5

=

10

yeah so I think this

Answer:

triangle in the middle but it cant explain with it

Step-by-step explanation:

Answer:

7.68

Step-by-step explanation:

8.55-2.12 is 6.43.

6.43+1.25 is 7.68

Answer:

x=21

Step-by-step explanation:

Answer:

x = 21

Step-by-step explanation:

3x = 63

x = 21

hope it help

Answer: Height = 19.5mm

Step-by-step explanation:

The area of a triangle is the base*height/2.

We can plug in the values given for the base and area.

Therefore, 156 mm^2 = 16mm*height/2

Multiply both sides by 2:

312 mm^2 = 16mm*height

Divide both sides by 16mm:

Height = 19.5mm

Answer:

11x + 3y

Step-by-step explanation:

7x + 2y + 4x + y

Combine like terms:

7x + 4x 2y + y

11x + 3y

Hope this helps!

Answer:

Step-by-step explanation:

only one solution.

The first day of August in the first day of July combined does not account for 75% of the sales on the first day of the month from July through December.

A bar chart is a graph that shows categorical data. They are made up of rectangular bars with heights that are proportional to the values that they represent. The rectangular bars can either be plotted vertically or horizontally.

Percentage of sales made in July and August = (sum of sales made in July and August / total sales) x 100

(32 + 28) / (20 + 15 + 4 + 1 + 32 + 28)

= (60 / 100) x 100 = 60%

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