Please help!
Find the value of x for which ABCD must be a parallelogram.

[tex]\\ \rm\Rrightarrow 5-3(2a+1)=-4+10[/tex]

[tex]\\ \rm\Rrightarrow 5-6a-3=6[/tex]

[tex]\\ \rm\Rrightarrow -6a+2=6[/tex]

[tex]\\ \rm\Rrightarrow -6a=6-2[/tex]

[tex]\\ \rm\Rrightarrow -6a=4[/tex]

[tex]\\ \rm\Rrightarrow a=\dfrac{4}{-6}[/tex]

[tex]\\ \rm\Rrightarrow a=\dfrac{2}{-3}[/tex]

Now

[tex]\\ \rm\Rrightarrow a+2[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{2}{-3}+2[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{2-6}{-3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{-4}{-3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{4}{3}[/tex]

Answer:

7/3

Step-by-step explanation:

5 - 3(2a+1) = -4 + 10

=> 5 - 6a + 3 = 6

=> 5 - 6 + 3 = 6a

=> 2 = 6a

=> 6a = 2

=> a = 2/6

=> a = 1/3

a + 2

1/3 + 2

=> 1/3 + 6/3

=> 7/3

Answer:

a. 65 - 3 x = 55 - 2.5 x

ab. 20

b. 5

Step-by-step explanation:

The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equal​ value, will be $10.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let x be the number of days and y be the value of the card.

Tavon has a gift card for $110 that loses $2.50 for each​ 30-day period it is not used. He has another gift card for $90 that loses $2 for each​ 30-day period it is not used. Then the equations will be

y = 110 - 2.5x    ...1

y = 90 - 2x       ...2

From equations 1 and 2, we have

110 - 2.5x = 90 - 2x

20 = 0.5x

x = 40

And the value of y will be

y = 110 - 2.5(40)

y = 110 - 100

y = $10

The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equal​ value, will be $10.

More about the linear equation link is given below.

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Answer:

47

Step-by-step explanation:

x is one of the three angles of a triangle. The other two are given as 95 and 38.

Together all three have to make 180 degrees.

x + 95 + 38 = 180

x + 133 = 180

x = 180 - 133

x = 47

Answer:

47

Step-by-step explanation:

as we know that sum of a triangle is always=180°

so x+38°+95°=180

so x+133=180

and x=180-133

so x= 47

Answer:

5.264 * 10^4

Step-by-step explanation:

We put a decimal point to the right of the number, so

52640.

Then we move it to the left until we get a number that is between 1 and 10.

5.2640

This was four hops to the left.

We can remove the trailing 0, and write

5.264 * 10^4

10^4 because of the four hops

Answer:

5.264×10^4

Step-by-step explanation:

10^4 = 10,000 x 5.264 = 52,640

Answer:

D

Step-by-step explanation:

I think its D because you multiple the number that is out of the the bracket with the numerators..

so its

a^4/b^12

Step-by-step explanation:

[tex]b(1) = 4[/tex]

Since this is an arithmetic sequence, notice that if you subtract b(1) (i.e., 4) from b(2)(i.e., 22), you get 18. Likewise, if you subtract b(2) from b(3) you also get 18. Therefore,

[tex]b(n) = b(n-1) + 18[/tex]

52

if im wrong, sorry

if im right, yay

Here, we are given that a room is painted by A, B and C so here three of them have done the work. So, we'll add all these fractions and assume the total work as 1 after that we will substract all the added ones from 1

Let us assume the room completely painted be 1

Now,

A has done 1/3, B has done 1/4 and C has done 1/5 work of the remaining

So, let us add them

Getting the L.C.M. The L.C.M of 3,4,5 is 60

Hence, 47/60 room has been painted

Remaining to paint

Total is assumed as 1

Work done = 47/60

Fraction of room needs to painted = 1 - 47/60

13/60 of the room needs to be painted, OPTION C IS CORRECT

Answer:

8500

Step-by-step explanation:

depreciation=10000×15%=1500

initial cost = 10000

final cost = initial cost- depreciation

=10000-1500

=8500

Answer:

They can all be simplified to 2/3

Answer:

Step-by-step explanation:

f: s*2s = 2s^2

o: s*7 = 7s

i: -5*2s = -10s

L: -5*7 = - 35

Combine

2s^2 - 3s - 35

answer:

Times it or multiply to get 2800000 then It should be B meter's by seconds.

Step-by-step explanation:

Answer:

1) y=-11x-50    2)y=-8x+16

Step-by-step explanation:

1.  y=mx+b- it is the main equation for a line'

If we take the first point and use its coordinates we have -6=-4m+b

If we take the second point and use its coordinates we have 5=5m+b

These equations are simultaneous for our line because the line passes through both points

-6=-4m+b

5=-5m+b

If subtract the second one from the first equation

-6-5= -4m+b- (-5m+b)

-11= m

b= -6-44=-50

y=-11x-50

2) y=mx+b

-8=-8*3+b

b=16

y=-8x+16

Turn 9 into [tex]\frac{81}{9}[/tex]. Then, convert 4 [tex]\frac{4}{9}[/tex] into a improper faction ( [tex]\frac{40}{9}[/tex] ). Then, subtract

[tex]\frac{81}{9} - \frac{40}{9} = \frac{41}{9}[/tex]. Lastly, convert  [tex]\frac{41}{9}[/tex] to a mixed fraction ( [tex]4\frac{4}{9}[/tex] ).

Your answer is [tex]4\frac{4}{9}[/tex].

Answer:

0.48

Step-by-step explanation:

[tex]0.6*0.8 = 0.48[/tex]

9514 1404 393

Answer:

  $3281.79

Step-by-step explanation:

The compound interest formula is ...

  A = P(1 +r/n)^(nt)

where A is the balance resulting from investment of P at annual rate r compounded n times per year for t years.

We have P=$3000, r=0.06, n=12, t=1.5, so the account balance is ...

  A = $3000(1 +0.06/12)^(12·1.5) = $3000(1.005^18) ≈ $3281.79

There will be $3281.79 in the account after 18 months.

Answer:

7 > 24/4

Step-by-step explanation:

7 _ 24/4

Simplify 24/4

24/4 = 6

7 is greater than 6

7 > 24/4

7 is greater than the fraction 24/4 so we use the ">" symbol between them. Hence, the complete equation is 7 > 24/4.

Comparison of two numbers involves determining the relationship between them. Here are a few possible outcomes when comparing two numbers:

1: If the first number is greater than the second number, we can say that the first number is "greater than" or "larger than" the second number.

2: If the first number is less than the second number, we can say that the first number is "smaller than" or "less than" the second number.

3: If the first number is equal to the second number, we can say that the numbers are "equal" to each other.

The given numbers are:

7 and 24/4

To compare these numbers,

Convert the fraction 24/4 into the simplest form

Therefore,

[tex]\frac{24}{4} = 6[/tex]

Now since 7 is greater than 6 so we use ">" between them.

Hence,

The complete equation will be 7 > 24/4.

To learn more about the fraction visit:

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Answer: (1, -1) or x = 1, y = -1

Answer:

15

Step-by-step explanation:

3×9 =27

3×4= 12

27-12= 15

:) hope it helps

Answer:

Step-by-step explanation:

25.57, 123/5, 49/2, 241/10

Step-by-step explanation:

1) let number=a

six times a number=6a

Condition:

6a+4=22

2) eleven times a number=11a

Condition:

11a-5=50

3) 9 times a number=9a

Condition:

9a-7=-16

Note:if you need to ask any question please let me know.

Answer:

5/8 or 0.625 or 62.5%.

Step-by-step explanation:

20/32       Divide top and bottom by 4:-

= 5/8.

Answer:

c

Step-by-step explanation:

thats the anser

Answer:

A 8.5 pints

Step-by-step explanation:

Answer:

12.566

Step-by-step explanation:

A = ∫1/2(r)^2dtheta from a - b = 0 to 2π

∫1/2(sin^2theta-4sintheta+4)dtheta

[9/4theta+2costheta-1/8sin2theta] from 0 to 2π…

when you solve this you get 14.137 without taking out the cos(2theta+3)

Answer:

2

Step-by-step explanation:

Answer:

2:2 3:3

Step-by-step explanation:

Answer:

7.4641

Step-by-step explanation: