A cube has a volume of 64. What is the side length of one side
#15

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:

x = 4

Step-by-step explanation:

35/60 = (5x+1+35)/96

3,360 = 60(5x+36)

56 = 5x+36

20 = 5x

x = 4

Answer:

4.5

Step-by-step explanation:

I do RSM

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:

500/7=intrest rate/account savings=_________

Step-by-step explanation:

Answer:

-3 < x < 3

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

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

10+30+-2(7)=

40-14=

26

Answer:50.50

Step-by-step explanation:

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:

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:

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:

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:

45°

Step-by-step explanation:

90 + 2(45) = 180

90 + 2(25) ≠ 180

90 + 2(80) ≠ 180

90 + 2(90) ≠ 180

the number of boards in all 6 kits

✔✔

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]

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

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:

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:

B

Step-by-step explanation:

Answer:

x = 129

Step-by-step explanation:

86/48 = x/72

6192 = 48x

x = 129

Answer: 15 / 56

Step-by-step explanation:

Number of red checkers = 3

Number of black checkers = 5

Total number of checkers = 8

P(black, then red) = 5/8 × 3/7 = 15/56

We should note that the probability to pick a black checker first will be 5 out of 8. Then, there'll be 7 checkers left and the probability to pick a res checker will be 3/7. We then multiply the probabality of each together.

8 dogs so 5*8= 40

so it's D

Step-by-step explanation:

eqn of line : y = mx+ c

m = slope or gradient

c = y-intercept.

Lets take (1,6) = (x1,y1) and (2,3) = (x2,y2)

[tex]m \: = \frac{y1 - y2}{x1 - x2} \\ = \frac{6 - 3}{1 - 2} \\ = \frac{3}{ - 1} \\ = - 3[/tex]

Substitute x = 1 and y = 6 into equation,

[tex]6 = ( - 3)(1) + c \\ 6 = - 3 + c \\ c = 6 + 3 \\ = 9[/tex]

Therefore substituting m and c value, equation of line is

[tex]y = - 3x + 9[/tex]

Answer:

C 312.77 kilograms 312.77 kilograms

Step-by-step explanation:

Answer:

b) 95

Step-by-step explanation:

equation:

3 x 30 + 5

solve:

3 x 30 + 5 = 95