Question:show all of your work and includes all properties used on the right hand side of the Tabel.Solve the following equation for x, fill in the justification table for each.

Equation:3x+95x+21

the number of boards in all 6 kits

✔✔

Answer:

D

Line segments are congruent due to the side-angle-side congruence postulate.

Step-by-step explanation:

DC is the perpendicular bisector of line AB, this mean that DC divides AB at 90 degrees into two equal parts at point E. Hence:

AE = BE

Also DE ≅ DE (reflexive property of congruence)

Also ∠AED = ∠BED = 90° (perpendicular bisector)

We can therefore say that triangle AED and triangle BED are congruent according to the side-angle-side congruence theorem. Therefore line AD = line BD

Answer:

4.5

Step-by-step explanation:

I do RSM

Answer:

26

Step-by-step explanation:

10+(10x3)-2(10-3)=

10+30+-2(7)=

40-14=

26

Answer:

x =18 , z =77

Step-by-step explanation:

Vertically Opposite Angles,

[tex]8x - 41 = 7x - 23 \\ 8x - 7x - 41 = - 23 \\ x - 41 = - 23 \\ x = - 23 + 41 \\ x = 18[/tex]

Since angle x and angle 7x-23 lies on the same straight line,

[tex]z + 7x - 23 = 180[/tex]

Substitute x = 18 into the equation,

[tex]z + 7(18) - 23 = 180 \\ z + 126 - 23 = 180 \\ z = 180 - 126 + 23 \\ z = 77[/tex]

8 dogs so 5*8= 40

so it's D

Answer:

x = 129

Step-by-step explanation:

86/48 = x/72

6192 = 48x

x = 129

Answer:

711.11

Step-by-step explanation:

If 777  is decreased by 12%. the number would now be (100% - 12%) 88% of what it was originally

0.88 x 777 = 683.76

683.76 is increased by 4%.  683.76 would now be (100 + 4%) 104% of what it originally was

683.76 x 1.04 = 711.11

12% x 777 =

0.12 x 777 = 93.24

777 - 93.24 = 683.76

4% x 683.76 = 27.3504

683.76 + 27.3504 = 711.11

Answer:

No

Step-by-step explanation:

I don't think that's how those specifc diagrams work. X in this case would be 3 not seven.

Yes you can move the x and the 1s but it would break the whole diagram. It would just be an (expression/term). Not a full diagram.

You said this was 7th grade math? Wow. I learned this in 5th grade!

Answer:

He is incorrect.  This is because the expression he has right now is x+2=5, making x=3.  So if he adds 2 to the right then it's wrong because it would be 3=7.

Step-by-step explanation:

Step-by-step explanation:

here's your solution

=> (x^2 - 7) (x^2 - 4)

=> x^2(x^2 - 4) - 7(x^2 - 4)

=> x^4 - 4x^2 - 7x^2 + 28

=> x^4 - 11x^2 + 28

hope it helps

Answer:

500/7=intrest rate/account savings=_________

Step-by-step explanation:

Answer:

[tex]LM = MJ = 3[/tex]

[tex]JK = KL = \sqrt{17[/tex]

Step-by-step explanation:

Given

[tex]J = (4,5)[/tex]

[tex]K = (5,1)[/tex]

[tex]L = (1,2)[/tex]

[tex]M = (1,5)[/tex]

Required

Prove it's a kite

Start by calculating the length of the sides of the kite using:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 -y_2)^2}[/tex]

[tex]JK = \sqrt{(4 - 5)^2 + (5 -1)^2} = \sqrt{17}[/tex]

[tex]KL = \sqrt{(5 - 1)^2 + (1 -2)^2} = \sqrt{17}[/tex]

[tex]LM = \sqrt{(1 - 1)^2 + (2 -5)^2} = \sqrt{9} =3[/tex]

[tex]MJ = \sqrt{(1 - 4)^2 + (5 -5)^2} =\sqrt{9} = 3[/tex]

Hence:

[tex]LM = MJ = 3[/tex]

[tex]JK = KL = \sqrt{17[/tex]

proves that it is a kite

Answer:

B)  LM = JM = 3 and JK = LK = [tex]\sqrt{17}[/tex]

Step-by-step explanation:

Edge 2021

Good Luck :)

Answer:

4 years

Step-by-step explanation:

Given data

Principal P=$5000

Rate r= 7.5%

Final amount A=$6500

The expression for the simple interest is

A=P(1+rt)

Substitute

6500=5000(1+0.075*t)

6500=5000+375t

6500-5000=375t

1500=375t

t= 1500/375

t= 4 years

Hence, the time is 4 years

Answer:

-36/6 is equal to -6

The first step is to divide -36/6 by the denominator, 6.

-36/6 ÷ 6 = -6/1 or -6

Answer:

Step-by-step explanation:

5x - 3 = 2(3x - 5)

5x - 3 = 6x - 10

6x - 5x = 10 - 3

x = 7

QS = 3(7) - 5 = 16 units

PR = 5 × 7 - 3 = 32 units

Answer:

C 312.77 kilograms 312.77 kilograms

Step-by-step explanation:

Answer:

36 inches.

Step-by-step explanation:

If one piece of string is  12 inches

and the second piece = 24 inches

Then the total is 12 + 24 = 36 inches.

Answer:

-3 < x < 3

Step-by-step explanation:

Answer:

1/25

Step-by-step explanation:

You have to add all of the supplies.

5 pencils + 6 pens + 3 glue sticks + 1 marker = 15 supplies

Put 3 over 15, since fractions are part over whole.

Now you have to simplify 3/15, which is 1/5.

Then you multiply 1/5 by 1/5 since he is trying twice, and this will give you 1/25.

Answer:

b) 95

Step-by-step explanation:

equation:

3 x 30 + 5

solve:

3 x 30 + 5 = 95

Answer:

384 cubic units

Step-by-step explanation:

The computation of the volume of the prism is shown below:

As we know that

The volume of the rhombus is

V = Base × height

where,  

B = D₁D₂ ÷ 2

= (6)(8) ÷ 2

= 24 units squared

Now the volume of the prism is  

V = (24)(16)

= 384 cubic units

Answer:

384 cubic units

Step-by-step explanation:

Answer:

f(x) = r - 5x + 10

f(-5)=r-5×-5+10=r+25+10=r+35

Answer:

B

Step-by-step explanation:

Answer:

45°

Step-by-step explanation:

90 + 2(45) = 180

90 + 2(25) ≠ 180

90 + 2(80) ≠ 180

90 + 2(90) ≠ 180