Given : AB = BC and BC = CD, AB = 3x - 1 and CD = 2x + 3 Prove: BC = 11 plz help me

Answer:

[tex]{ \bf{f(b) - g(b) : }} \\ { \tt{ = ( {7b}^{3} + 8b) - ( {b}^{2} + b - 10)}} \\ = ( {7b}^{3} - {b}^{2} + 7b + 10)[/tex]

Answer:

[tex]f(b) - g(b) = 7b^3 -b^2 + 7b +10[/tex]

Step-by-step explanation:

[tex]f(b) = 7b^3 + 8b \\\\g(b) = b^2 + b - 10\\\\f(b) - g(b) = (7b^3 + 8b ) - ( b^2 + b -10)[/tex]

               [tex]= 7b^3 + 8b - b^2 - b + 10\\\\=7b^3 - b^2 +7b + 10[/tex]

The value of c is 0.

By question,

17x² = 12x

or,(17x-12):x=0

or,17x - 12 = 0#

For some tips,

HENCE PROVED ##

Answer:

1 and 2.....then 3 is a different question

Answer:

178m squared

Step-by-step explanation:

make 3 rectangular shapes

shape 1 ) 18×5=90

shape 2) 13×6= 78

shape 3) 5×2=10

Add up all the answers and that's the ans

90+78+10=178

Answer:

Option D, 140 sq. units

Step-by-step explanation:

Area of the rectangle part, 11*5 = 55 sq. units

Area of the pentagon part (3.4*5)*5/2 = 42.5 sq. units

Total area,

55+2*42.5 sq. units (since there are two pentagons)

= 55+85 sq. units

= 140 sq. units

Answer:

The triangles are similar.

Step-by-step explanation:

They are similar because they have the same angles. They may be the same size, but it would be best to refer to whatever definition you were given.

The correct descriptions from the list accurately describe the relationship between QRS and TUV is,

⇒ Similar

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Two triangles are shown in figure.

Here, All the corresponding angles are same in both triangles.

And, The ratio of their corresponding sides are,

In triangle TUV;

⇒ 90 / 108 = 30 / 36

In triangle QRS;

⇒ 30 / 36

Hence, The correct descriptions from the list accurately describe the relationship between QRS and TUV is,

⇒ Similar

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Answer:

arc BC = 100°

Step-by-step explanation:

The inscribed angle BEC is half the measure of its intercepted arc BC , then

arc BC = 2 × 50° = 100°

Answer:

y = 0x

Step-by-step explanation:

y=-4x-b

0 = -4(0) + b

0 = 0 + b

0

Answer:

Approximately 2

Step-by-step explanation:

103 divided by 53 is 1.94

Round 1. 94 up to a whole number is approximately 2 wood pieces.

Answer:

5/4

Step-by-step explanation:

To Find :-

Solution :-

By question ,

=> cos a = 5/3 = b/h

=> p = √ 5² - 3² = √ 25 -9 = 4

Therefore ,

=> cot a = b/p = 5/4

Proportional Linear Relationships can be expressed in the following ways:

From a graphical point of view, a relationship is proportional and linear if the line representing the equation goes via the origin. It is to be noted that a relationship must be linear for it to be proportional and vice versa.

Thus, it is correct to state that Proportional Linear Relationships can be expressed in the following ways:

An example of an equation that is proportional and linear is:
y = 6x + 8. Note that this linear equation is proportional because it has a constant component.

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Answer:

The temperature at the start is 35F

The temperature of the room is 74F

Step-by-step explanation:

Given

[tex]T(m) = 74 - 39(0.87)^m[/tex]

Solving (a): The temperature at the start.

To do this, we set: [tex]m = 0[/tex]

So, we have:

[tex]T(0) = 74 - 39(0.87)^0[/tex]

[tex]T(0) = 74 - 39*1[/tex]

[tex]T(0) = 74 - 39[/tex]

[tex]T(0) = 35[/tex]

Hence, the temperature at the start is 35F

Solving (b): The room temperature

We have:

[tex]T(m) = 74 - 39(0.87)^m[/tex]

To get the temperature of the room, we simply remove the exponential function.

So, we have:

[tex]Initial = 74[/tex]

Hence, the temperature of the room is 74F

The initial temperature of the liquid is 35 F and the room temperature is 74 F.

The melting point is the temperature at which the solid starts converting into liquid.

Given here,

[tex]T_m = 74- 39(0.87)^m[/tex]

Leat the [tex]m = 0,[/tex]

So,

[tex]T_0 = 74- 39(0.87)^0\\\\T_0 = 35 \rm \ F[/tex]

Thus the initial temperature is 35 F.

Now remove the exponential to get the room temperature,

So,

[tex]T_{RT} = 74[/tex]

Therefore, the initial temperature of the liquid is 35 F and the room temperature is 74 F.

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Answer:

[tex]q = 3[/tex]

Step-by-step explanation:

[tex]3q−2=7[/tex]

[tex]3q=7+2[/tex]

[tex]3q=9[/tex]

[tex]q = 3[/tex]

Answer:

5 3 3 2 2

Step-by-step explanation:

180

90 2

45 2 2

15 3 2 2

5 3 3 2 2

Answer:

180 = 5 × 3² × 2²

Step-by-step explanation:

Starting with 180, the prime factors are in bold

180 = 90 × 2

      = 45 × 2 × 2

      = 15 × 3 × 2 × 2

      = 5 × 3 × 3 × 2 × 2

Then

180 = 5 × 3 × 3 × 2 × 2 = 5 × 3² × 2²

Answer:

Volume: 37.692 cm3

Step-by-step explanation:

1) 1/3 x 3.14 x 3 power of 2 x 4

2) 1.047 x 9 x 4

3) 37.692 cm3

Answer:

[tex]Volume ~of~cone=\pi /3r^{2} h[/tex]

[tex]r=3cm[/tex]

[tex]h=4 cm[/tex]

[tex]volume=\pi /3\times3^{2} \times4[/tex]

[tex]=12\pi =12\times3.14[/tex]

[tex]=37.68~ cm^{2}[/tex]

-----------------------

hope it helps...

have a great day!!

Step-by-step explanation:

Therefore, the factors are x + 6 and 2x − 9.

The factors of the polynomial are (2x-9)(x+6)

Factors are the numbers that can divide a number exactly. Hence, after division, there is no remainder left. Factors are the numbers you multiply together to get another number. Thus, a factor is the divisor of another number.

Given is a polynomial 2x²+3x-54, we need to find its factors,

So,

Factors :-

= 2x²+3x-54

= 2x²+12x-9x-54

= 2x(x+6)-9(x+6)

= (2x-9)(x+6)

Hence, the factors of the polynomial are (2x-9)(x+6)

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Answer:

4

−

4

+

8

2

+

8

Step-by-step explanation:

Answer:

B - Congruent : SAS

Step-by-step explanation:

We are given that there are two sides that are congruent and one angle is congruent and it is in the order Side Angle Side.

Answer:

Patel will require more orange juice = [tex]\frac{371}{660}[/tex] cups

Step-by-step explanation:

Patel needs the orange juice for his family = 3 cups

He needs more orange juice = 3 cups - Sum of juice squeezed from different oranges

[tex]=3-(\frac{13}{15}+\frac{1}{5}+\frac{9}{20}+\frac{5}{11}+\frac{7}{15})[/tex]

L.C.M. of the denominators = 660

[tex]=3-\frac{572+132+297+300+308}{660}[/tex]

[tex]=3-\frac{1609}{660}[/tex]

= [tex]\frac{1980-1609}{660}[/tex]

= [tex]\frac{371}{660}[/tex]

Therefore, amount of orange juice required more = [tex]\frac{371}{660}[/tex] cups

Answer:

-1/35

Step-by-step explanation:

* means multiply

because of pemdas you should do three multiplication parts first

(1/4×2/5)+(-1/6×3/2)+(3/7×2/5)

1/20 - 3/12 + 6/35

3/60 - 15/60 + 6/35

-12/60 + 6/35

-1/5 + 6/35

-7/35 + 6/35

-1/35

Answer:

3/140

Step-by-step explanation:

1/4 × 2/5 + (-1/6) × 3/2 + 3/7 × 2/5 ​=

= 2/20 - 3/12 + 6/35

**********************************************

We need the LCD of 20, 12, 35.

20 = 2^2 * 5

12 = 2^2 * 3

35 = 5 * 7

LCD = 2^2 * 3 * 5 * 7 = 420

**********************************************

= 42/420 - 105/420 + 72/420

= 9/420

= 3/140

ok this is answer any questions

Answer:

There are 16 pink jelly beans.

There are 16+34+24+26=100 jelly beans in total.

The probability is 4/25, or 16%.

Step-by-step explanation: hope this helps and gl :)

Answer:

The answer is 4/25

Step-by-step explanation:

Hope this helps

Answer:

2a+15 = 125(being alternate angle)

or,2a = 125-15

or,2a = 110

or,a = 110÷2

,a = 55

again,2a+15+b+30=180(Being co-interior angle)

or,2×55+15+b+30=180

or,110+15+30+b=180

or,155+b=180

or,b=180-155

Therfore,b=25

Answer:

25

Step-by-step explanation:

Since AC is similar to CE, we can say that they have equal lengths. We are given CE, DE, and BC. To solve this, we can solve for the length of CE (equal to AC) and then subtract that from BC.

To solve for CE, we are given DE and CE. We know that DE is 1/2 of CE because D is the midpoint of CE. Therefore,

7x-1 = 1/2(10x+18)

expand

7x-1 = 5x  + 9

add 1 to both sides to separate the 7x

7x = 5x + 10

subtract 5x from both sides to separate the x

2x = 10

divide both sides by 2 to separate the x

x=5

Therefore, DE = 7(5)-1 = 34 and CE = 10(5) + 18 = 68 = AC.

Using x=5, we know that BC  = 9(5) -2 = 43

Therefore, AB = AC-BC = 68-43 = 25

D is the midpoint of CE, so if you draw a line with those three points, it'll look like C-D-E.

Since DE = 7x-1, which also means CD = 7x-1.

CD + DE = CE, so (7x-1)+(7x-1) = 10x+18.

Therefore, x = 5 and CE = 68.

Since AC is congruent to CE, AC = 68.

Assuming the point B is somewhere between AC.

Since BC = 9x-2 and x = 5, which means BC = 43.

AC - BC = AB, so 68 - 43 = 25.

Therefore, AB = 25

Answer:

2.56 * 10^11 L

Step-by-step explanation:

1 body has 40 L

Thus, the amount in 6.4 billion would be;

40 * 6.4 * 10^9

= 256 * 10^9

= 2.56 * 10^2 * 10^9

= 2.56 * 10^11 L