Representing postulates with diagrams

Answesr:

À

Step-by-step explanation:

A cube has faces of equal measurements so u multiply the area of one face with 6

(5×5)6=150

Answer:

150 m 2

A

Step-by-step explanation:

Answer:

Juanita dissolves 46 g of MgBr2 (molar mass: 184.11 g/mol) in 0.5 kg of distilled water. What is the molality of the solution?

Answer:

(3, -1)

x is 3

y is -1

Step-by-step explanation:

Solving for x:

2x+y=5

Subtract y from both sides

2x= -y+5

Subtract 5 from both sides

2x-5= -y

Multiply both sides by 4

8x-20= -4y

5x+4y=11

Subtract 4y from both sides

5x= -4y+11

Subtract 11 from both sides

5x-11= -4y

Combine equations:

5x-11=8x-20

Subtract 5x from both sides

-11=3x-20

Add 20 to both sides

9=3x

3x=9

Divide both sides by 3

x=3

Solving for y:

2x+y=5

Subtract y from both sides

2x= -y+5

-y+5=2x

Multiply both sides by 5

-5y+25=10x

5x+4y=11

Subtract 4y from both sides

5x= -4y+11

-4y+11=5x

Multiply both sides by 2

-8y+22=10x

Combine equations:

-8y+22= -5y+25

Add 8y to both sides

22=3y+25

Divide both sides by 25

-3=3y

3y= -3

Divide both sides by 3

y= -1

Answer:

a=1 b=3 c=-4

Step-by-step explanation:

using almighty formular

a=1 b=3 c= - 4

Answer:

D

Step-by-step explanation:

The domain is the x coordinates which are {-2,0,2}

Answer:

D = { -2, 0 2}

R = { -3,-1 ,1 }

Step-by-step explanation:

The domain is the input or x values

D = { -2, 0 2}

The range is the output or y values

R = { -3,-1 ,1 }

__________________________________

Solution,

Cost of 5.5 ounces =$ 2.53

Cost of 1 ounce= 2.53/5.5

=$0.46

So the answer is $ 0.46

Hope it helps

Good luck on your assignment

_________________________________

Answer: its 20 x 2

Step-by-step explanation: hope it helps idk if it right but did my best..

Answer:

1) 5m-10

Parts, 5m, -10

Operation, Subtraction

Word Expression, 10 less than the product of 5 and m.

Step-by-step explanation:

1) 5m-10

Parts, 5m, -10

Operation, Subtraction

Word Expression, 10 less than the product of 5 and m.

2) 12/2+7

6+7

13

3) 8y-(22)

Terms, 8y, 22

Operation, Subtraction

Word Expression, 22 less than the product of 8 and y.

Answer:

number 2 is 13       and      number 3 is-2.75

Step-by-step explanation:

-2.75

Answer:

Thje answer is D.

Step-by-step explanation:

The circumference is always 22/7 times longer (about 3.14)

Answer:

65 shirts.

Step-by-step explanation:

50 is the amount of shirts sold in February.

30% increase=1.3

1.3(50)

65

They need to sell 65 shirts in March to get the bonus.

Answer:

Inverse Property

Step-by-step explanation:

This property is inverse property with respect to addition.

E.g.

If x=y and z= -y

Then,

x+z = 0

its basically d on edg :)

Answer:

38 m^3

Step-by-step explanation:

The shape of the shed is a prism.

volume = area of base * height

The base of the prism is the front face of the shed. The height of the prism is the 2 m distance between the front base and the back base.

area of base = area of rectangle + area of triangle

The front base consists of a rectangle with length 5 m and width 3 m and a triangle with base 5 m and height 1.6 m

area of base = LW + (1/2)bh

area of base = (5 m)(3 m) + (1/2)(5 m)(1.6 m)

area of base = 15 m^2 + 4 m^2

area of base = 19 m^2

height of prism = 2 m

volume = area of base * height

volume = 19 m^2 * 2 m

volume = 38 m^3

Answer:

Step-by-step explanation:

Two angles are supplementary when their sum is 180

∠AXB + ∠BXC = 180°   {Supplementary angles}

8x + 10 + 2x - 20 = 180    

Add the like terms

10x - 10 = 180

10x = 180 + 10

10x = 190

x = 190/10

x = 19°

∠AXB  = 8x + 10

          = 8 * 19 +10

          = 152 + 10

∠AXB  = 162

Answer:

180 degrees

Step-by-step explanation: the measure of angle AXB is ( a + a )  and the sum of the measured angles AXB and BXC  = 180 , so a + ( a + a) = 180.

both these angles add up to be 180 degrees because they are both supplementary angles  they both share the sides  of x  and b.  

if it confuses you, just use  a bit of repeated addition and multiplication

for example  : 30 + 30 + 30 + 30 + 30 = 5 x 30 which equals to 150

because you add 30 , 5 times .

The equation of a straight line with gradient m passing through the origin is:

[tex]\displaystyle y=mx[/tex]

The line passes through the origin, so the y-intercept is [tex]0[/tex]

[tex]\displaystyle y=mx+b[/tex]

[tex]\displaystyle y=mx+0[/tex]

[tex]\displaystyle y=mx[/tex]

Answer: -10

Step-by-step explanation:

-4 - 6 = -10

Answer: Hank hike 36 miles in 9 h.

6 hours for 24 miles

9 hours for x miles

[tex]Hank_{rate} =24/6=4\;mi/h[/tex]

[tex]x = Hank_{rate}\times Hours=4\;\frac{mi}{h} \times 9\;mi=36 \;miles[/tex]

Answer:

D

Step-by-step explanation:

3x-4y=6

-4y=-3x+6

y=(3/4)x-(3/2)

positive slope with y-intercept at -3/2 corresponds to D

Graph includes the points (0,-3/2) and (2,0). Therefore, option D is the correct answer.

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

The given linear equation is 3x-4y=6

Graph the line using the slope and y-intercept, or two points.

Slope: 3/4

y-intercept:

(0,-3/2)

Plot the points (0,-3/2) and (2,0)

Therefore, option D is the correct answer.

To learn more about the graph visit:

brainly.com/question/14375099.

#SPJ2

Answer:

number 4 is D

Answer:

#4 is D

annnnnnnddddddddddddd............. I dont see the answers for number 5 ;(

Answer:

In the picture attached, line l and the three points are shown. 3 segments are formed, namely, segments AB, BC and AC.

Step-by-step explanation:

A segment has two endpoints. With 3 points on the line, there are 3 segments, AB, BC and AC; each of them includes 2 points.

Answer:

Examples to disprove them are as follows;

1) Angles of two different inscribed regular polygon in contact at their vertices

2) Angles on the opposite corners of a regular even sided polygon

Step-by-step explanation:

The statement to be disproved can be presented as follows;

1) ∠A and ∠B share a common vertex

2) The bisectors of ∠A and ∠B create one line then

∠A and ∠B are vertical, that is ∠A and ∠B are on the opposite sides of the point where two lines cross or ∠A = ∠B

Given that ∠A = Interior angle of a inscribed square = 90°

∠B = Interior angle of an inscribed equilateral triangle = 60°

Therefore the two circles can be arranged such that the line connecting the centers of both circles, are the bisectors of ∠A and ∠B

However, ∠A ≠ ∠B hence the two angles are not vertical QED

(2) The angles ∠A and ∠B where ∠A = ∠B are on the opposite corners of an even sided regular polygon are equal and their bisectors belong to the same line, however, it can be shown that ∠A and ∠B  are not vertical.

Answer:

y=-3x+5

Step-by-step explanation:

y²-y¹=gradient

x²-x¹

6-7=gradient

-3+6

-1/3=gradient

y-6/x+3=-1/3

y-6=-1/3(x+3)

y-6=-1/3x-1

y=-1/3x+5

Answer:

Sandy is 9 years old.

Step-by-step explanation:

R+S=24

R=2S-3

R=Randy, S=Sandy

Plug the value of R into the first equation.

2S-3+S=24

Now, simplify.

3S-3=24

Now, solve the equation for S. First add three to both sides.

3S=24+3=27

3S=27

Now divide both sides by 3.

S=9

Based on the information given, the age of Sandy will be 9 years.

The equation that can be used to solve the question will be:

R + S = 24 .... i

R = 2S - 3 ..... ii

Put equation ii into i

R + S = 24

2S - 3 + S = 24

3S = 24 + 3

3S = 27

S = 27/3

S = 9

Therefore, the age of Sandy will be 9 years.

Learn more about equations on:

https://brainly.com/question/13763238

Answer:

False

Step-by-step explanation:

6 miles / 30 quarts

Divide by 6

1 miles / 5 quarts

30 miles /15 quarts

Divide by 15

2 miles/1 quart

These are not the same so they are not proportional

Answer:

87.5cm²

Step-by-step explanation:

area of trapezium = 1/2 (a+b)h

1/2 × (10 + 15) ×7

1/2 × 25 × 7

1/2 × 175 = 87.5

Answer:

87,5 cm²

Step-by-step explanation:

A = (b + B)×h/2

= (10cm + 15cm)×7cm/2

= 25cm×3,5cm

= 87,5 cm²

Answer:

Step-by-step explanation:

use a^2+b^2=c^2.

5^2+7^2=c^2

25+49=c^2

sqrt74= 8.6 so side c is about 8 units

Answer:

C. about 8 units

Step-by-step explanation:

correct answer is c

Answer: C

Step by step explanation-

Answer:

A

Step-by-step explanation:

It is consistent dependent system , since:

inconsistent has no solutions

consistent independent has one solution,

while...

consistent dependent means that two linear functions are merged into a single line, and they always cross, giving an infinite number of solutions to the linear system

Answer:

11. [tex]b = 30[/tex]

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

Substitute

[tex]16^{2} + b^{2} = 34^{2}[/tex]

[tex]256 + b^2 = 1156[/tex]

[tex]b^2 = 1156-256\\b^2 = 900[/tex]

[tex]b = \sqrt{900}[/tex]

[tex]b = 30[/tex]

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