What is the solution to the system of equations?

-4y – 3x = -11

x – 2y = 17

Complete Question:

The deck that Amos is building is in the shape of a parallelogram, DGRY.  The measure of D is five-halves the measure of Y. Find the measure of  each angle of the deck.

Answer:

[tex]\angle G = \angle Y = 51.43 ^{\circ}[/tex]

[tex]\angle D = \angle R = 128.57 ^{\circ}[/tex]

Step-by-step explanation:

Given

Shape: Parallelogram DGRY

Dimension: [tex]\angle D = \frac{5}{2}\angle Y[/tex]

Required

Find the measure of each angle

D and R are opposite sides & G and Y are also opposite sides.

So, we have:

[tex]\angle D = \angle R = \frac{5}{2}\angle Y[/tex]

and

[tex]\angle G = \angle Y[/tex]

The sum of angles is given as:

[tex]\angle D + \angle G + \angle R + \angle Y=360^{\circ}[/tex]

Substitute values for [tex]\angle D, \angle G \ \& \angle R[/tex]

[tex]\frac{5}{2}\angle Y + \frac{5}{2}\angle Y + \angle Y + \angle Y = 360^{\circ}[/tex]

Take LCM

[tex]\frac{5\angle Y + 5\angle Y + 2\angle Y+ 2\angle Y}{2}= 360^{\circ}[/tex]

[tex]\frac{14\angle Y}{2}= 360^{\circ}[/tex]

Multiply both sides by [tex]\frac{2}{14}[/tex]

[tex]\frac{2}{14} * \frac{14\angle Y}{2}= 360^{\circ} * \frac{2}{14}[/tex]

[tex]\angle Y= 360^{\circ} * \frac{2}{14}[/tex]

[tex]\angle Y= \frac{ 360^{\circ} *2}{14}[/tex]

[tex]\angle Y= \frac{720^{\circ}}{14}[/tex]

[tex]\angle Y= 51.43 ^{\circ}[/tex]

So:

[tex]\angle G = \angle Y = 51.43 ^{\circ}[/tex]

[tex]\angle D = \frac{5}{2}\angle Y[/tex]

[tex]\angle D = \frac{5}{2} * 51.43^{\circ}[/tex]

[tex]\angle D = \frac{5* 51.43^{\circ}}{2}[/tex]

[tex]\angle D = \frac{257.15^{\circ}}{2}[/tex]

[tex]\angle D = 128.57 ^{\circ}[/tex]

Hence:

[tex]\angle D = \angle R = 128.57 ^{\circ}[/tex]

Answer:

assuming ABCD is a parallelogram angleB+angleA=180°

Step-by-step explanation:

118°+2x+7+9x-33=180

125+11x-33=180

92+11x=180

11x=180-92

11x=88

x=88/11

x=8

✌

Answer:

Step-by-step explanation:

Circle Standard Form

The standard form of a circle's equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius. To convert an equation to standard form, you can always complete the square separately in x and y.

Answer:

5.5 ft ^2

Step-by-step explanation:

1.5 * 5= 5.5

Answer:

this is your answer..

OK hope this is k

helpful for you.

Answer:  4 1/2 - 1 11/12 = 2 1/3 but in decimal form 2.3

Answer:

8.5

Step-by-step explanation:

Given the equation :

3.2(x - 6.7) = 5.76

x - 6.7 = 5.76 / 3.2

x - 6.7 = 1.8

x = 1.8 + 6.7

x = 8.5

Answer:

8.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 yard is equal to 3 foot

10¢= 1 foot

30¢= 1 yard

30¢ x 258 yards= $77.40

Answer:

$79.20

Step-by-step explanation:

to find markup just multiply 72 by 110%. Conver 110% to a decimal, which is 1.1 Then multiply 72 by 1.1 = 79.2

So the markup amount is $79.20

B 5 1/2

Hope it helped!!!

Answer:

2100

Step-by-step explanation:

Sorry i dont know what the fiery cross is

Answer:

I think the answer is A=49

Answer:

the top answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

You will need to subtract the amount paid from the total amount

100 - 46.23

= 53.77

Ricardo will receive $53.77 in change. :)

Answer:

Given that Naomi and Hudson work at a dry cleaners ironing shirts, and Naomi can iron 35 shirts per hour, while Hudson can iron 20 shirts per hour, knowing that Naomi and Hudson worked a combined 13 hours and ironed 395 shirts, to write a system of equations that could be used to determine the number of hours Naomi worked and the number of hours Hudson worked, the following logical reasoning should be performed:

Naomi, working 13 hours, can iron up to 455 shirts (13 x 35), with which, every hour that Hudson has worked and she does not imply a decrease of 15 ironed shirts. Since 455 - 395 equals 60, and 60/20 equals 3, it is determined that Hudson worked 3 hours, while Naomi worked 10 hours.

Thus, the proposed inequality would be the following:

35Y + 20X = 395

Answer:

Start by plotting the y-intercept which is (0, b).

Find another point using the slope (m) with the y-intercept at the reference point.

Connect the two points with a ruler.

Step-by-step explanation:

Answer:

-1,-2,-4

an = a1 * r^(n - 1)

a1 = first term = -1

r = common ratio = 2

so the equation would be : an = -1 * 2^(n - 1)

Answer: like math equations that equal twenty?

Step-by-step explanation:

.5 times 40

4 times 5

2 times 10

3 times 6.2/3

Just to name a few

Answer:

4 times 5

the square root of 400

10 plus 10

2 to the 2nd power plus 4

30 minus 10

40 minus 20

50 minus 30

the absolent value of -20

5 to the 2nd power minus 5.

Step-by-step explanation:

Hope it Helps?

Answer:

16[tex]t^{2}[/tex] + 2t - 6

Step-by-step explanation:

[tex](12t^{2} + 5t -y) - (-4t^{2} + 3t -1)[/tex]

simplify

[tex]12t^{2} + 5t -7 +4t^{2} -3t +1[/tex]

combine like terms

16[tex]t^{2}[/tex] + 2t - 6

Answer:

6 batches

Step-by-step explanation:

Answer:

the answer is 8/3  u have to mutplay

Step-by-step explanation:

Answer:

176 cm2

Step-by-step explanation:

la formula es b×a/2, entonces multiplica 22×16= 352 y los divides entre 2= 176 centímetros cuadrados

Answer:

380

Step-by-step explanation:

10%->38

100%-> 38÷10×100=380

Answer:

an isosceles triangle

Step-by-step explanation:

it has two equal sides so this is isosceles triangle