How many solutions does the system have?
2x+3y=−6
3x−4y=−12
​

Answer:

1.) x = 30

2.) y = 15

Step-by-step explanation:

(3x - 40)° and (2x - 10)° are vertical angles, so they will always be the same

1.) 30

3x - 40 = 2x - 10

3x - 2x = 40 - 10

x = 30

2.) 15

(6y - 10)° + (6y + 10)° = 180°

6y + 6y + 10 - 10 = 180

12y = 180

12y/12 = 180/12

y = 15

Answer:

stop telling people to do your homework on canvas!

Step-by-step explanation:

Answer:

∠ CAD = 83°

Step-by-step explanation:

In a parallelogram. opposite angles are congruent.

∠ CAB = ∠ ACD = 57° ( Alternate angles )

The sum of the 4 interior angles = 360°

and

∠ ABC + ∠ CDA = 40° + 40° = 80°

Thus

∠ BCD + ∠ CAD = 360° - 80° = 280°, then

∠ DAB = 140° ( congruent opposite angles )

Thus

∠ CAD = 140° - ∠ CAB = 140° - 57° = 83°

Answer:

The correct options are;

Line CD is the perpendicular bisector of line AB

Line segment AB is perpendicular to line CD

Line segment AE is congruent to line segment BE

Step-by-step explanation:

From the construction, we have that the radius of circle A is equal to the radius of circle A as the circumference of circle A passes through the center of circle A

Therefore, the construction is the bisection of line segment AB by the construction of the perpendicular bisector CD, from which we have line segment AE is congruent to line segment BE and line segment AB is perpendicular to line CD

Answer:

Step-by-step explanation:

x-intercept:

(−17/2, 0)

y-intercept:

(0, 17/5)

Answer:

Answer is B. angle addition postulate

Step-by-step explanation:

-UvU-

Answer:

12

Step-by-step explanation:

Given the arithmetic sequence :

-3,0,3,6,9

Using the relation :

Tn = a + (n- 1) d

d = common difference = t2 - t1 = 0 - (-3) = 3

The next term = 6th term ; n = 6

a = first term

T6 = - 3 + (6 - 1)3

T6 = - 3 + (5)3

T6 = - 3 + 15

T6 = 12

Answer:

a. False

b. False

c. False

d. True

Step-by-step explanation:

a. 4.25 x 10⁶ = 425,000 (false) should be 4,250,000

b. 6.38 x 10⁹ = 638,000,000,000 (false) should be 6,380,000,000

c. 5.11 x 10⁻² = 511 (false) should be 0.0511

d. 2.79 x 10⁻⁴ =  0.000279  (true)

Answer:

True

False

False

True

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

80+100=180

270/180=1.5

15*100=150

Answer:

150

Step-by-step explanation:

Answer:

The answer is 49 pi cm2

Step-by-step explanation:

pi x 14^2

----------------

      4

=153.93804

Answer:

The area of your circle is ≈ 15.6cm²

Step-by-step explanation:

A = Area

C = Circumference

Attached

Using the following formulas;

A=πr²

C=2πr

The value of the angle x in the given set of parallel lines is 62°.

Given that are two lines m and n which are parallel to each other, a transversal line t intersecting the lines at one point each making angles measuring 118° and x, which are opposite to each other, x is on line n whereas 118° is on m,

We need to find the value of x,

Here, we can use the property of corresponding angles to find the value of x.

Corresponding angles are formed when a transversal intersects two parallel lines, and they are congruent (equal) to each other.

In this case, the corresponding angle to the 118° angle on line m is the supplement of angle x on line n.

Since the corresponding angles are equal, we can set up the equation:

180° - x = 118°

x = 62°

Hence the value of x is 62°.

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The teacher would need 40 centimeters of tape to hang 10 student projects.

Step-by-step explanation:

Given,

Tape used to hang projects = 36 centimeters

Number of projects hanged = 9

We will find unit rate;

9 projects = 36 centimeters

1 project = \frac{36}{9}\ centimeters

9

36

centimeters

1 project = 4 centimeters

Therefore,

Tape needed to hang 10 projects = 4*10 = 40 centimeters

The teacher would need 40 centimeters of tape to hang 10 student projects.

Keywords: unit rate, multiplication

Answer:

A

Step-by-step explanation:

I am not sure but I think A

Answer:

a) 22583

b) 37345

Step-by-step explanation:

Divisibility by 11

Rule: A number passes the test for 11 if the difference of the sums of alternating digits is divisible by 11.

For example, the number 14982 is divisible by 11. Sum the digits

1+9+2=12

4+8=12

Subtract them: 12-12=0. Since 0 is divisible by 11, then the number also is.

The number 745102 is not divisible by 11:

7+5+0=12

4+1+2=7

12-7=5. 5 is not divisible by 11.

a) 2_583. Let's call X to the unknown digit 2X583

2+5+3=10

X+8 should be 10 or 21, so 10-10=0 or 21-10=11 are divisible by 11, but X cannot be greater than 9, thus

X+8=10 => X=2. The number is 22583

b) 37X45

4+7=11

3+X+5 should be 11 or 21. Again, X must be less than 10, thus

3+X+5=11 => X=3. The number is 37345

Answer:

B.  One-fourteenth

Step-by-step explanation:

The afterimage may remain for 28 seconds or longer. The apparent size of the afterimage depends not only on the size of the image on your retina but also on how far away you perceive the image to be. When you look at your hand, you see the negative afterimage on your hand.

Answer:

30 students

Step-by-step explanation:

18 divided by 3 is 6

6 x 2 = 12

12 + 18 = 30

Answer:

30 i just took the test 28m ago and it said it was right

Step-by-step explanation:

Answer:

13. 23 boat rides; 22 are full, and the first one has 301 passengers.

12. $11,067.50

Answer:

The measure of the angle is 150°, the measure of its supplementary is 30°

Step-by-step explanation:

The given parameters are;

The measure of the given angle = 5 × The measure of its supplementary angle

Let "x" represent the given angle, and let "y" represent its supplementary angle, we have;

x = 5 × y...(1)

x + y = 180°...(2)

By substituting the value of x = 5 × y, from the first equation into the second equation, we have;

x + y = 180°

x + y = 5 × y + y = 5·y +  y = 6·y = 180°

y = 180°/6 = 30°

y = 30°

x = 5 × y = 5 × 30° = 150°

x = 150°

The measure of the angle = x = 150°, the measure of its supplementary = y = 30°.

Answer:

Bonnie is correct

Step-by-step explanation:

Ok so bonnie said to buy five shirts  so 5 x 12 = 60 but minus the $10 because the 10 dollar dicount now if you do 60 - 10 = 50 so you can buy five shirts.

Answer:

Susan is correct

Step-by-step explanation:

Answer:

113.97 degrees

Step-by-step explanation:

use the cosine rule for finding an angle

cosA = b^2 + c^2 - a^2

                 2bc

In the given triangle angle A is greatest than any other angle.

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

Given sides of triangle, a=2cm,b=8cm,c=9cm

cosine law

Cos A =  [tex]\frac{-a^2 + b^2 + c^2}{ 2bc}[/tex] = [tex]\frac{64 + 81 - 4 }{2 * 8 *9}[/tex] = 141/ 144

Cos B =  [tex]\frac{a^2 - b^2 + c^2}{ 2ac}[/tex] = [tex]\frac{4 + 81 - 64}{2 * 2 *9}[/tex] = 21/36

Cos C = [tex]\frac{a^2 + b^2 - c^2}{ 2ab}[/tex] = [tex]\frac{4 + 64 -81}{2 * 2* 8}[/tex]  =  -13/52

A = Cos⁻¹ (141 /144 )

B = Cos⁻¹ (21/ 36 )

C = Cos⁻¹ (-13/52 )

Thus Angle A < Angle B < Angle C.

Therefore, Angle A is the greatest in the triangle.

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9514 1404 393

Answer:

  112°

Step-by-step explanation:

Same-side angles of a trapezoid are supplementary.

  m∠P = 180° - m∠S = 180° -68° = 112°

The angles of an isosceles trapezoid match their symmetrical counterparts.

  m∠Q = m∠P

  m∠Q = 112°

Answer:

Yes the triangles are congruent

Step-by-step explanation:

since

AB=CD

AD=CB

and BD= BD (common sides)

Therefore

the two triangles are congruent

Answer:

Step 3

Step-by-step explanation:

4x - 8 < 6x + 18

4x - 6x < 18 + 8

- 2x < 26

The steps in the solution that follows correctly from the previous steps are:

Step 1

Step 2

Step 3

Step 4

All the options are correct.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

4(x - 2) < 6(x+3)

Removing the parenthesis.

Step 1:

4x - 8 < 6x + 18

Subtracting -6x on both sides.

4x - 8 - 6x < 6x + 18 - 6x

Step 2:

-2x - 8 < 18

Add 8 on both sides.

-2x < 18 + 8

Step 3:

-2x < 26

Divide both sides by 2.

-x < 13

Multiply - on both sides.

The sign will change.

Step 4:

x > -13

We see that,

All the steps are given correctly.

Thus,

The steps in the solution that follows correctly from the previous steps are:

Step 1

Step 2

Step 3

Step 4

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Answer:

4

Step-by-step explanation:

Answer:

3%×300,=900

900÷100=9

Step-by-step explanation:

answer is 9

Answer:

291

Step-by-step explanation:

no prob

Answer:

A= 28

Step-by-step explanation:

To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.

Answer:

Step-by-step explanation:

given: (2,1) & (5-8)

first find the slope,

m= (Y2-Y1) / (X2-X1)    

m=(-8-1)/(5-2)

m=(-9)/(3)

m=-3

we have y=-3x+b

use any point to sub in x and y

1=-3(2)+b

1+6=b

b=7               therefore, y=-3x+7 is the equation

Answer:

y = - 3x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (5, - 8)

m = [tex]\frac{-8-1}{5-2}[/tex] = [tex]\frac{-9}{3}[/tex] = - 3 , then

y = - 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 1 ), then

1 = - 6 + c ⇒ c = 1 + 6 = 7

y = - 3x + 7 ← equation of line