Which criteria must be true to conclude that ABCD is a parallelogram?

AE⎯⎯⎯⎯⎯≅EC⎯⎯⎯⎯⎯ and DE⎯⎯⎯⎯⎯≅EB⎯⎯⎯⎯⎯

AE=12BC

AC⎯⎯⎯⎯⎯≅BD⎯⎯⎯⎯⎯

AE⎯⎯⎯⎯⎯≅BE⎯⎯⎯⎯⎯ and DE⎯⎯⎯⎯⎯≅CE⎯⎯⎯⎯⎯
Parallelogram A B C D with diagonals A C and B D intersecting at E.

Answer:

The value of I for d = 10 will be 1.2 watts/m^3

Step-by-step explanation:

Let I be the intensity of sound and d be the distance

According to given statement, "The intensity of the sound, I watts/m², received from a loudspeaker is  inversely proportional to the square of the distance, d meters, from the  loudspeaker. "

[tex]I \propto \frac{1}{d^2}[/tex]

Removing the proportionality symbol

[tex]I = \frac{k}{d^2}[/tex]

Putting d = 2 and I = 30

[tex]30 = \frac{k}{(2)^2}\\30 = \frac{k}{4}\\k = 30*4\\k = 120[/tex]

Putting the value of k in the equation

[tex]I = \frac{120}{d^2}[/tex]

Putting d = 10

[tex]I = \frac{120}{(10)^2}\\I = \frac{120}{100}\\I = 1.2[/tex]

Hence,

The value of I for d = 10 will be 1.2 watts/m^3

Answer:

7

Step-by-step explanation:

Answer:

1/4 cup of salt. .........

Answer:

1 dollar

Step-by-step explanation:

Answer:

1 dollar

Step-by-step explanation:

Hope this helps!

I ran it through a calculator and the answer it gave was "Yes"

Step-by-step explanation:

Answer:

drag the protactor so that the the bottom, middle line is centered in point B, and the bottom edge is flat against line BC

the angle will be whatever number AB lines up with on the outer ring (the big numbers)

Step-by-step explanation:

Answer:

hmmm. i woud answer this question but i do not know how many ounces the bottles have? is this a real question or a joke,because i coud maybe help if you could be more specific.

Step-by-step explanation:

Answer:

4.93

Step-by-step explanation:

Given 3 numbers a, b and c, the formula for calculating their geometric mean is expressed as:

GM = ∛a*b*c

Given the numbers 4, 5 and 6

geometric mean = ∛4 * 5 * 6

geometric mean = ∛20*6

geometric mean = ∛120

geometric mean = 4.93

Hence the geometric mean is 4.93

Answer: -2

Step-by-step explanation:

2(h -3.5) = -11 Distributive property

2h - 7 = -11. Add 7 to both sides

2h = -4. Divide both sides by 2

h = -2

Answer: The answer is -2 :)

Step-by-step explanation: 2(h -3.5) = -11  distributive propert

2h-7=-11 Add  -7 to both side

     +7  =+7

2h=-4 Divide 2 to both side

2  =  2

h=-2

Answer:

f(x)= 3x^2+5x

Step-by-step explanation:

f(x)= x(x+1)(x-4)(x+8)

f(x) = x^2 + x + x^2 - 4x + x^2 + 8x

f(x) 3x^2 + 5x

Answer:

Closer to 1\2

Step-by-step explanation:

half of 18 is 9 and if you add 1 to 8 you get 9 so 8\18 is closer to 1\2

Hope it helps!

Answer:

-1 ≤ x

Step-by-step explanation:

You just need to divide -3 on both sides.

-1 ≤ x

Note that since you are dividing by a negative number, the sign flips.

-1 ≤ x

Step-by-step explanation:

First start with the equation:

3 ≥ -3x

divide by -3 to get x positive and singular:

-1 ≥ x

and since we divided by a negative we need to flip the sign:

-1 ≤ x  would be your answer

hope this helped :)

Answer:

y = (15/24)x + 6

Step-by-step explanation:

Answer:

she needs to buy 4 boxes since she can't buy a part of a box. assuming total boxes means completely filled boxes, then she fills 3

Step-by-step explanation:

Answer:

[tex]y=-314x-1261[/tex]

Step-by-step explanation:

When we are writing an equation we have to put it in slope-intercept-form [tex]y=mx+b[/tex]. We already know the slope it's -314, we replace m with the slope. Now we have to find b which is the y-intercept. So what we have to do is plug in the ordered pair into the equation. -4 for x and -5 for y.

[tex]y=mx+b\\-5=-314(-4)+b[/tex]

Now we solve

[tex]-5=-314(-4)+b\\-5= 1256+b\\b=-1261[/tex]

So now that we know everything we need we plug in and....

[tex]y=mx+b\\y=-314x-1261[/tex]

we've got our equation!

Answer:

The line slants upward, so the slope is positive.

Answer:

y=1.7x-1.2

Step-by-step explanation:

-10x-17y=14

Subtract 10x to both sides

-17y=-10x+14

Divide by -17 on both sides

y=1.7x-1.2

Answer:

130

Step-by-step explanation:

do ( ) first

²4=4×4=16

16-3=14

14×8=112

112+8=130

Answer:

x ≥ -64

Step-by-step explanation:

"3/4ths of a number is greater than or equal to -48"

3/4 of a number ≥ -48

Let's say the number is x.

(3/4)x ≥ -48

Multiply both sides by 4.

3x ≥ -192

Divide both sides by 3.

x ≥ -64

Answer:

1/33

Step-by-step explanation:

I'm assuming the 3 in 2x3 is an exponent (so hopefully that's what it is...)

When you plug in x and y, the denominator is

2(2)^3 + 3.4(5)

2x2^3= 2^4 which is 16 and 3.4x5= 17

16+17=33

Answer:

The real answer is C

Step-by-step explanation:

I took the test and I got it right pls mark  brainliest.

Also hope this help.

Answer:

14 more meters

Step-by-step explanation:

6 times square (4) = 24

24-10 = 14

Answer: THE ANSWER IS 2 :)

Step-by-step explanation:

3(q+2)  Do distributive property

3q=6 Divide 3q to both side

3q = 3q

q= 2       This is the answer

Answer:

-

you write the answer here

Step-by-step explanation:

and explain here

Answer:

1 = 7x=42 (divide both sides by 7)

7x/7 =42/7

x=6

2.=9y=81 (divide both sides by 9)

9y/9y= 81/9

y=9

3.= –40=8a (divide both sides by 8)

–40/8= 8a/8

a=5

4.=y divided 11=12

y=11 multiplied by 12

y= 132

5.= –15y=135( divide both sides by –15)

–15y/–15=135/–15

y= –9

6.= 17p=51(divide both sides by 17)

17p/17=51/17

p=3

7.= –65= –13w (divide both sides by 13)

–65/–13=–13w/–13

w=5

8.=y/–2=4

(cross multiply)

y/–2=4/1

4 multiplied by –2= –8

therefore:y= –8

Step-by-step explanation:

I HOPE THIS HELPED :)

Answer:

a) 7x=42

Step-by-step explanation

use the co-efficient of the unknown to divide both sides

7x=42

7x/7=42/7

x=6

9y=81

9y/9=81/9

y=9

-40=8a

is the same thing as

-8a=40

-8a/-8=40/-8

a=-5

y+11=12

y=12-11

y=1

-15y=135

-15y/-15=135/-15

y=9

17p=51

17p/17=51/17

p=3

-65=-13w

13w=65

13w/13=65/13

w=5

y/-2= 4

cross multiply y=-8

Answer:

a=7b=9c=4

Step-by-step explanation:

Answer:

Which of the following expressions represents five less than three times the number M

where are option ?

Answer:

3M-5

Step-by-step explanation:

You subtract the 5 from 3M and you have to make it 3 times M so you have the 3M.

Answer:

Step-by-step explanation:

Multiply through the 3 of the first bracket to get 3m +12. Then multiply out the second bracket by -2 to get -8m -2.

Write it out in a line: 3m + 12 - 8m -2

Simplify: -5m +10

Divide by -5 again to simplify further: m - 2

Answer:

=7m+30

Step-by-step explanation:

Distribute:

=(3)(m)+(3)(2)+(4)(6)+(4)(m)

=3m+6+24+4m

Combine Like Terms:

=3m+6+24+4m

=(3m+4m)+(6+24)

=7m+30

Answer:

-3,-1,0,5,7

Step-by-step explanation:

Answer:

-3,-1,0,5,7

Step-by-step explanation: