identify the pair of similar triangles in each of the groups of triangle below​

Answer:

4x + 1

Step-by-step explanation:

evaluating the expression on the left

4(x -3) + 7

Distribute

4x - 12 + 7

4x - 5

Therefor if the constant is any number other than -5

there will be NO SOLUTION

Examples of equations with no solution

4(x -3) + 7 = 4x + 1

4(x -3) + 7 = 4x - 3

4(x -3) + 7 = 4x + 4

Answer:

Step-by-step explanation:

Domain: the values that the x cannot be (in this case, the values that make the denominator equal to 0)

x²-5x+6=0

(x-2)(x-3)=0

x≠ 2, 3

in interval notation: (-∞,2)∪(2,3)∪(3,∞)

We just determined that x≠2 or 3 which means that the vertical aysmptotes are

x= 2,3

To find the holes graph both the numerator and denominator then see if anything cancels

2x²+x= x(2x+1)

x²-5x+6= (x-2)(x-3)

because nothing more to do here there are no holes

Answer:

Step-by-step explanation:

Slope: 3/1 (positive: line go uphill)

y-intercept: -5

Place your pencil on the vertical line (y) on -5. Go up 3 units and 1 to the right, repeat and trace the line (actually you only need two points to trace a line)

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Step-by-step explanation: There you will find your answer

The value of g(-3) comes to be 11 because g(x) is a constant function.

Given function is:

g(x) =11

Function g(x) is a constant function because g(x) is independent of x.

The graph of a constant function is parallel to the y-axis and gives the same output for any input given to the function.

So, The value of g(-3) will be the same as the value of g(x) i.e. 11

So, value of g(-3) = 11

Therefore, The value of g(-3) comes to be 11 because g(x) is a constant function.

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[tex](7 + 17 - 14 - 8)q = 14[/tex]

[tex](24 - 22)q = 14[/tex]

[tex]2q = 14[/tex]

Divide both sides by 2

[tex] \frac{2q}{2} = \frac{14}{2} \\ [/tex]

[tex]q = 7[/tex]

There u go...

Have a great day ❤

Hello,

- 10, - 8, 0, 2, 9

The ascending order is always : negative numbers, zero, positive numbers

Answer:

-10, -8, 0, 2, 9

Step-by-step explanation:

All angles of the ∆ are same. So it's a equilateral ∆ . So all sides will also be equal .

16 + y = 46

y = 46 -16 = 30

And ,

60 + x + (180-80) = 180

-20 +x = 0

x = 0 +20

x = 20°

Answer:

9.82 - 2.56 = 7.26 is the equation

Answer:

Given composite function:

Possible functions that compose it:

and

A relation may or may not represent a function.

The costs are given as:

(a) The mapping diagram

To do this, we simply point the number of movies, to the corresponding costs, using arrows

See attachment for the mapping diagram.

(b) Is the relation a function

From the attached mapping, we can see that:

The costs of each movie are different.

This means that: the relation is a function.

(c) Describe the pattern

Notice that as the number of movies increases, the cost also increases;

However, the unit cost decreases.

Hence, the unit cost of each movie decreases as the number of movies increases.

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Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today!

We can check your answer in 1 step.

We need to find how much they earn if they worked 37 hours at a rate of 26 dollars per hour.

We can mutliply to figure this out:

[tex]37*26=962[/tex]

Therefore, yes, your answer is correct!

Cheers!

Answer:

$26=1hr

x   =37hr

$26 x 37=$ 962

Step-by-step explanation:

Answer:

  D.  126 cm³

Step-by-step explanation:

The formula for the volume of a cylinder in terms of its diameter can be written as ...

 V = (π/4)d²h

The difference between the volume of the overall cylinder and the volume of the hole is ...

  V = V2 -V1 = (π/4)(d2²)h -(π/4)d1²)h = (π/4)(d2² -d1²)h

  V = (π/4)((6 cm)² -(2 cm)²)(5 cm) = (π/4)(36 -4)(5) cm³ = 40π cm³ ≈ 126 cm³

The volume of the solid cylinder with a hole in it is about 126 cm³.

Answer:

With discount : $37.76

With tax : $56.38

With both : $40.19

Step-by-step explanation:

Hope this helps

Answer:

D. -3

Step-by-step explanation:

g(x) moved 3 units to the right

Answer: D

Step-by-step explanation:

Since it is subtracting x from 20. D tells the change from 20 dollars after buying the notebook or x.

A is 20 + x

B is 20/x

C is 20x or 20 * x

D is 20 - x

Answer:

B

Step-by-step explanation:

you can see the words cut and smaller so that indicates subtraction

Answer:C.5

Step-by-step explanation:

The height  of the skyscraper rounded to the nearest tenth of a meter is

160.0 meters.

The situation will form a right angle triangle.

The angle of elevation is 44 degrees. The horizontal distance of 164

meters from the base of the skyscraper is the adjacent side of the triangle.

Part of the height of the skyscraper is the opposite side of the triangle formed .

Using trigonometric ratio,

tan 44° = opposite / adjacent

tan 44° = h / 164

cross multiply

h = 164 × tan 44°

h = 158.372959068

Recall the angle of elevation was form from his eyes above the ground of

1.62 meters.

Therefore, the height of the skyscraper can be calculated below:

height of the skyscraper = 158.372959068 + 1.62 = 159.992959068

height of the skyscraper ≈ 160.0 meters

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Answer:

the height of the triangle is 6 inches and the base is 7 inches greater, or the base is 13 in

Step-by-step explanation:

The general area-of-a-triangle formula is A = (1/2)(base)(height), or  = (1/2)bh.

Here b = h + 7.

Applying the area formula given above:  A = 39 in^2 = (1/2)(h + 7)(h), or

78 in^2 = h^2 + 7h,

Rewriting this, in standard quadratic form, we get h^2 + 7h - 78 = 0

                                                                             -7 ± (49 - 4[1][-78])

Applying the quadratic formula to find h:   h = ----------------------------

                                                                                          2

           -7 ± (49 + 312)        -7 ± 19

or h = ----------------------- = ------------- = {-13, 6}

                      2                       2

Discard the negative 13 root; the height must be a positive quantity.

Thus, the height of the triangle is 6 inches and the base is 7 inches greater, or the base is 13 in

Work Shown:

h(y) = f(y) + g(y)

h(y) = (y^4 - 3y^3 + y - 3) + (y^3 + 7y^2 - 2)  

h(y) = y^4 - 3y^3 + y - 3 + y^3 + 7y^2 - 2  

h(y) = y^4 + (-3y^3+y^3) + 7y^2 + y + (-3 - 2)

h(y) = y^4 - 2y^3 + 7y^2 + y - 5

This is a fourth degree polynomial (aka quartic).

Answer:last one

Step-by-step explanation:

A random number generator picks a number from 6 to 66 in a uniform manner, its resultants are  mathematically given as

Generally, the equation for Mean is mathematically given as

[tex]X=\frac{a+b}{2}\\\\Therefore\\\\X=\frac{6+66}{2}[/tex]

X=36

b)

Generally, the equation for standard deviation is mathematically given as

[tex]\sigma=\sqrt{\frac{b-a}{12}^2}\\\\Therefore\\\\\sigma=\sqrt{(\frac{66-6}{12})^2}\\\\\sigma=\sqrt{25}\\\\[/tex]

[tex]\sigma=5[/tex]

c)

The probability that the number will be exactly 19

[tex]p(x=19)=\frac{19-6}{66-6}[/tex]

p(x=19)=0.2167

d)

The probability that the number will be between 28 and 46 is P(28 < x < 46)

[tex]P(28 < x < 46) =\frac{46-6}{66-6} -(\frac{28-6}{66-6})[/tex]

P(28 < x < 46) =0.3

e)

The probability that the number will be larger than 48 is P(x > 48)

[tex]P(x > 48)=1-P(x\leq 48)[/tex]

Therefore

[tex]P(x > 48)=1-(\frac{48-6}{66-6})[/tex]

P(x > 48)=0.3

f)

[tex]P(x > 17 | x < 62) = P(x\leq 62-P(x leq 17))[/tex]

Therefore

[tex]P(x > 17 | x < 62) =\frac{62-6}{66-6}-(\frac{17-6}{66-6})[/tex]

P(x > 17 | x < 62) =0.75

g)

The 49th percentile

[tex]p(x\leqk=k.(1/66-6))[/tex]

Therefore

[tex]0.49=k*(1/(66-6))[/tex]

k=29.4

h)

The maximum for the lower quartile

P(xl)=h*1/60

0.25=h*1/60

h=15

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Answer:

y = -5/2x + 22

Step-by-step explanation:

y = mx + b

2 = -5/2(8) + b

2 = -40/2 + b

2 = -20 + b

22 = b

y = -5/2x + 22

Answer:

X=5/2

4(x+2)2=36

(4x+8)2=36

8x+16=36

8x=36-16

8x=20

X=20/8

X=5/2

Step-by-step explanation:

Hope this helps:)

Answer:

1.24 times as intense

Step-by-step explanation:

The intensity of the sound decreases by 24% at construction site from 4:00 p.m. to 1:00 p.m.

Let the function y = f(x).

Then the average rate of change will be

Average rate of change = (y₂ - y₁) / (x₂ - x₁)

On a busy construction site at 1:00 p.m. the sound level is 124 dB, while at 4:00 p.m. it is 100dB.

Then the intense as the sound of the construction site at 4:00 p.m. is the sound at 1:00 p.m. will be

⇒ (100 – 124) / 100

⇒ -0.24

Then the intensity of the sound decreases by 24% at construction site from 4:00 p.m. to 1:00 p.m.

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Answer:

Should be b-1

Step-by-step explanation:

because b is at a positive point and it should become a negative

Answer:

664

Step-by-step explanation:

666 balls to make a full pack

666x3=1998

6000-1998=2

666-2=664

Answer:

Step-by-step explanation: