5. Calculate the area of the shaded region in the diagram if ABCD is a rectangle. 8 B 4 A 5 3 6 8 D 9 3 C​

[tex] \sqrt{3} x + 4 - 2 = 3 \\ = > \sqrt{3} x = 3 - 4 + 2 \\ = > \sqrt{3} x = 1 \\ = > x = \frac{1}{ \sqrt{3} } \\rationalising \: \: \: the \: \: \: denominator \\ = > x = \frac{1}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \\ = > x = \frac{ \sqrt{3} }{3} \\ [/tex]

[tex] \frac{ \sqrt{3} }{3} [/tex]

Answer: x = 7

Step-by-step explanation:

[tex]\sqrt{3x+4}=3+2[/tex]

[tex]\sqrt{3x+4}=5[/tex]

[tex]3x+4 =25[/tex]

[tex]3x = 21[/tex]

[tex]x=7[/tex]

Please give me a brainliest answer

The quantity of items you must sell to break even are = 17 items.

To rent a table = $100

The cost of each item = $4

You sold each item at prize = $10

Therefore the gain for each item = 10 - 4

= $6

Therefore, the quantity of items to sell to recover the cost from renting of the table is =

[tex] \frac{100}{6} [/tex]

= 16.6 items

which is approximately = 17 items.

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Answer:

-5.2

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

We know that a = 4 and b = 6, and we are trying to find the answer to both of them added, so to get a + b, we can substitue the values of a and b by their numbers. So,

a + b

Is the same as

4 + 6, which equals 10.

Therefore, the value of a+b is 10

Hope this helps :)

Answer:

Blue chairs

Step-by-step explanation:

To get the unit rate of red chairs, you simply divide 22.78/2, which equals $11.39

So the unit rate of RED chairs is $11.39

To get the unit rate of the blue chairs, you simply divide 67.80/6 which equals $11.30

So the unit rate of BLUE chairs is $11.30

Unit rate is simply the cost of one item (in this case chairs) the unit rate stays the same. If we flipped the operation on blue chairs and did 11.30*6, it equals $67.80. The same goes for the red chairs, if we did 11.39*2 it equals $22.78.

Hope this helps!

Answer:

pic is answer

Step-by-step explanation:

Answer:

1.  ∠ADC≅∠BCD (Given)

2.  AC¯¯¯¯¯⊥CD¯¯¯¯¯;  BD¯¯¯¯¯⊥CD¯¯¯¯¯  (Given

)3.  ∠ACD and ∠BDC are right angles(Def. of ⊥)

4.  ∠ACD≅∠BDC (Rt. ∠≅Thm.)

5. CD¯¯¯¯¯≅CD¯¯¯¯¯ (Reflex. Prop. of ≅)

6.  △ACD≅△BCD (ASA Steps 1, 5, 4)

△ACD and △BCD are Congruent triangles because Two angles are the same, as is a corresponding side.

1.  ∠ADC≅∠BCD (Given)

2.  AC⊥CD;  BD⊥CD  (Given

3.  ∠ACD and ∠BDC are right angles(Def. of ⊥)

4.  ∠ACD≅∠BDC (Rt. ∠≅Thm.)

5. CD≅CD (Reflex. Prop. of ≅)

6.  △ACD≅△BCD

To learn more about Congruent triangles  refer,

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#SPJ2

Answer its (-2,5)

if its on q2

Answer:

Step-by-step explanation:

2) 133 + a = 180 {Linear pair}

            a = 180 - 133

           a = 47

a +b = 180   {linear pair}

47 + b = 180

      b = 180 - 47

      b = 133

x = b + 30   {Exterior angle property}

x = 133 +30

x = 163

3) m + 35+ 35 = 180 {Angle sum property of triangle}

m + 70 = 180

m = 180 - 70

m = 110

z = 35 {alternate interior angles are congruent}

x = m + z

x = 110 + 35

x = 145

Answer:5

Step-by-step explanation: 4*5=20

Answer:

b = c - 3/4y

Step-by-step explanation:

move 3/4y to the other side with c:

c - 3/4y = b

b = c - 3/4y

Answer:

[tex] = > 10 \times 5 \times 13[/tex]

[tex] = > 50 \times 13[/tex]

[tex] = > 650[/tex]

Answer:

you can create  2 groups of 8 and you will have a group of 4 left

Step-by-step explanation:

Answer:

the slope is 2 and a=8 b=6

Step-by-step explanation:

Answer:

d=-7

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

d=-23.934375

Step-by-step explanation:

Answer:

A. (4, -4)

Step-by-step explanation:

Equation form x = 4, y = −4

Answer:

Option A

Step-by-step explanation:

5x + 2 y = 12 -----------(I)

5x - 2y = 28 ------------(II)

Add equation (I) & (II). So, y will be eliminated and we will get the value of x

(I)     5x + 2y = 12

(II)     5x -2y  = 28    {Now add}

         10x      =  40

                  x = 40/10

x = 4

Plugin x = 4 in equation (I)

5*4 + 2y = 12

20 + 2y = 12

        2y = 12 - 20

        2y = -8

          y = -8/2

y = -4

Answer:

$108

Step-by-step explanation:

3X9= 27square foot. Then you multiply 27 by 4, which equals $108

Answer:

"The quotient of 8 and y" is written as the following algebraic expression:

8÷y

Answer:

2.6% = 0.026

142% = 71/50

34% = 17/50

Answer:

Step-by-step explanation:

binomial distritubtion

mean= n*p

.23*300= 69

variance= n*p*(1-p)

.23*300*(1-.23)=53.1

standard deviation= sqrt(variance)

sqrt(53.13)= 7.3

Answer:ok??/????????

Step-by-step explanation:Whaaaaat?????

Using the principle of common difference , we can observe that the distance moved per roll increases by a constant amount of centimeters . Hence, the distance moved in the 5th roll is 180 cm

Setting up a proportional relationship :

The common difference between each roll can be obtained thus :

d2 - d1 = d3 - d2 = d4 - d3

60 - 20 = 100 - 60 = 140 - 100

40 = 40 = 40

Hence, the common difference = 40

The distance obtained on the fifth roll :

d(5) = d(4) + common difference

d(5) = 140 + 40

d(5) = 180

Therefore, the distance obtained on the fifth roll is 180 cm

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Using the principle of proportional relationship, the 42 L of gas can go for a further 165 km

Consumption rate = 8L for 100 km

Km per Litre :

8L = 100km

1 L = m

8m = 100

m = (100 ÷ 8)

= 12.5 kilometer per Litre

Number of kilometers for 42 L

12.5 km = 1 L

m = 42 L

Cross multiply

m = 12.5 × 42

m = 525 km

The difference in the distance = 525 - 360 = 165 km

Therefore, the gas can go for a further 165 km

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i cant see the pdf???????????????

9514 1404 393

Answer:

  A) W'(-4, 2), ...

Step-by-step explanation:

Put the values of x and y in the translation relation to see what the translated point's coordinates are.

  (x, y) ⇒ (x -7, y +4)

  W(3, -2) ⇒ W'(3 -7, -2 +4) = W'(-4, 2) . . . . . . . . matches only choice A