The two triangles below are similar.
Calculate the value of x.
Give your answer as an integer or as a fraction in its simplest form
15 mm
C
3 mm
xmm
D
10 mm
Not drawn accurately

Answer:

7, 28, 63, 112, 175, 252, 343, ...

Step-by-step explanation:

Step-by-step explanation:

7, 28, 63, 112, 175

7*1, 7*4, 7*9, 7*16, 7*25, ...

7*1², 7*2², 7*3^2, 7*4², 7*5²

Hence, 7n², n=1, 2, 3, 4, ...

7*6²=

7*6*6=

252

7*7²=

7*7*7=

343

Thus,

7, 28, 63, 112, 175, 252, 343, ...

Answer:

3/64

Step-by-step explanation:

12/156

DIvide both numbers by two

6/78

Divide both numbers by two

3/64

Answer: 1/13

Step-by-step explanation:

[tex]\displaystyle\\\frac{12}{156}=\\\\ \frac{3*4}{3*52}=\\\\ \frac{4}{52}=\\\\ \frac{4}{4*13}=\\\\ \frac{1}{13}[/tex]

Answer:

[tex](f \cdot g)(x)=18x^3+15x^2[/tex]

Step-by-step explanation:

Given functions:

[tex]\begin{cases}f(x)=6x^2+5x \\ g(x)=3x\end{cases}[/tex]

Function composition is an operation that takes two functions and produces a third function.

The composite function (f · g)(x) means to multiply function f(x) by function g(x):

[tex]\begin{aligned}\implies(f \cdot g)(x) & = f(x) \cdot g(x)\\& = (6x^2+5x)(3x)\\& = 6x^2 \cdot 3x+5x\cdot 3x\\& = 18x^3+15x^2\end{aligned}[/tex]

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The transformation in reflection is that triangle may have identical aspect lengths and perspective measure.

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Answer:

b

Step-by-step explanation:

Using proportions, it is found that Kurt spent $22.68 a month on movie streaming services.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, or operations such as multiplication and division.

These operations are used from the unit rates, as for example, when we have an amount over a period of time, the amount per unit of time is the total amount divided by the total time.

For this problem, we have that the important parameters are found as follows:

Hence his monthly spending is given by the unit rate as follows:

96.39/4.25 = $22.68 a month.

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Answer: 440

Step-by-step explanation: You add 12 to -452

I believe how you find the difference between two numbers is by adding their absolute value. The absolute value ignores the negative and positive values and is really just the distance of the number from 0.

So, with -452 and 12, the distance between them is 464 units

answer: 464

Im sorry if that was confusing!

Answer:

a) 1800000663.4

b) 0.0000000000587

Step-by-step explanation:

Answer:

(a) (1.8×10^9)=1800000000

(6.2×107)=663.4

So therfore,

(1.8×10^9)+(6.2×107)=1800000663

Note: "^" means exponential (power)

Step-by-step explanation:

(b) (6.4×10^-11)=0.000000000064

(5.3×10^-12)=0.0000000000053

Therefore ,

Answer= 0.0000000000587

Step-by-step explanation:

THE POINT OF INTERSECTION IS WHERE F(x) = G(x)

[tex](x + 3)(x - 1) = (x + 1)(x - 3) \\ {x}^{2} + 2x - 3 = {x}^{2} - 2x - 3 \\ \\ {x}^{2} - {x}^{2} + 2x + 2x - 3 + 3 = 0 \\ 4x = 0 \\ \frac{4x}{4} = \frac{0}{4} \\ x = 0[/tex]

find the y coordinate by plugging in the value of c in any of the function.You will get thw same value

[tex]g(0) = (0 + 1)(0 - 3) \\ g(0) = 1( - 3) \\ g(0) = y = - 3[/tex]

The point of intersection is (0,-3)

Answer: Pretty sure the answer is -10

Step-by-step explanation: If you replace f(x) with 6, you can figure out the answer more quicker.

6 = -x-4

10 = -x

x=-10

Answer:

2

Step-by-step explanation:

Since f(x) is 6, we can plug that into the equation:

6-4,

which gives us 2

Answer:

Choice 1: ∠CFG = ∠FCB

Step-by-step explanation:

∠CFG and  ∠FCB are interior alternate angles and equal only if ABCD||EFG

hello! please read the instructions in the picture :)))

made just for you <3

The pair of angles from the given options that are a pair of alternate exterior angles is:

C. ∠2 and ∠8

What are Alternate Exterior Angles?

Alternate exterior angles are pairs of exterior angles that lie alternate to each other along a transversal that cuts across two parallel lines.

Thus, in the image given, we have the following alternate exterior angles:

∠2 and ∠8

∠1 and ∠7

Therefore, the pair of angles from the given options that are a pair of alternate exterior angles is:

C. ∠2 and ∠8

the complete question is

Which angle are a pair of alternate exterior angles

A. Angle 4 and angle 6

B. Angle 3 and angle 6

C. Angle 2 and angle 8

D. Angle 1 and angle 5

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The speed of the plane and wind in km/hr is 187.5 and 37.5 respectively.

A linear equation has highest degree of 1.

According to the given question a small plane flies for 3 hours to an airport 450 kilo meters away against a strong headwind. the plane then returns to its starting location flying with the wind, taking 2 hours.

Form these we can form two linear equations in two variables.

Assuming speed of the plane to be x km/hr and speed of wind to be y km/hr.

We know Distance = speed × time.

3( x - y) = 450. and 2( x + y) = 450.

3x - 3y = 450...(i) and 2x + 2y = 450...(ii)

multiplying eqn (i) by 2 and eqn (ii) by 3 and solving we get

x = 187.5 km/hr and y = 37.5 km/hr.

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Answer:

Skip counting

Step-by-step explanation:

Skip counting is when you count at intervals of any number you like. If I were to skip count by seven, I would count 7, 14, 21, and so on. You can easily accomplish single-digit multiplication with this method. For example, suppose your teacher asks you to multiply 4 x 7 =. Simply count sevens four times, 7, 14, 21, and 28. 4 x 7 = 28 is the answer.

Go over the skip-counting list until you get to the halfway mark (3, 6, 9, 12, 15, and 18). Allow yourself to speak it out loud while pointing to the answers one by one with a finger or a pen.  This engages many senses at the same time.

Repeat the list from memory after they have gone over it a few times.

The mind is similar to muscles in that it requires exercise to grow stronger.

Memorize this list in both ascending and descending order.

Go through the remaining items on the list: 21, 24, 27, 30, 33, 36.

Finally, go over the entire list of answers. Repeat the list UP AND DOWN until it seems natural and effortless.

Step-by-step explanation:

First write it down by looking at a picture.

Then try writing it down without looking at a picture

Keep doing this.

Also study for 10 mins and then ask someone else to test you

Answer:

No solution

Step-by-step explanation:

On the left side we have one half x plus one half x  which equals x.  On the right side we have x + 1.  So the equation becomes x = x + 1.  Subtracting x from both sides we get 0 = 1, which is false.  Therefore there is no solution to this problem.  

The equation that represents the line that passes through the point (6, −3) and has a slope of one half is 2y - x = 13.

The equation of a line is represented as,

y = mx + c                                       equation1

x and y are the coordinates of the point from where the line is passing and m is the slope of the line.

As per the question the line is passing from the point (6, -3). This means value of x = 6 and that of y = -3. The slope of line is (1/2), means m = (1/2).

The slope of the line through the point (-1,6) can also be written as   (y - 6)/(x - (-1))  =  (y-6)/(x+1).

i.e., m = (y-6)/(x+1)

On equating both the values of m, we will get

(y-6)/(x+1) = 1/2

On simplifying, we get

2y - 12 = x +1

or  2y - x = 13

The equation that represents the line that passes through the point (6, −3) and has a slope of one half is 2y - x = 13.

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13. 9,000 feet

14. 4,500 feet

15. descended 4,500 feet because 9000-4500=4500

16. base camp is 1,000 feet in elevation

17. during 3-4 pm he was descending the fastest because the slope between those two points is the greatest.

18. No because the graph is not linear.

for the equation is, x = -4 - 5i

The  solution will be, x = -4 + 5i

for the equation is, x = 4 + 5i

The  solution will be, x = 4 - 5i

for the equation is, x = 5 - 4i

The  solution will be, x = 5 - 4i

Any equation in algebra that can be written in proper format as where x stands for an unknown, where a, b, and c stand for known numbers, and where a 0

If (a + bi) is a complex number and a quadratic equation has one solution,

The second solution to the equation will be the conjugate of the first.

Consequently, the alternative solution will take the form of (a - bi).

for the equation is, x = -4 - 5i

The  solution will be, x = -4 + 5i

for the equation is, x = 4 + 5i

The  solution will be, x = 4 - 5i

for the equation is, x = 5 - 4i

The  solution will be, x = 5 - 4i

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The expression two less than four times a number is represented as 4x - 2

An algebraic expression is an expression which is made up of variables and constants, along with algebraic operations such as the addition, subtraction, division and multiplication.

According to the question, we are to transform two less than four times a number into expression

Let the unknown number be x such that

four times a number = 4x

two less than four times a number = 4x - 2

Hence the expression two less than four times a number is represented as 4x - 2

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The linear function that models the relationship between the two variables is y = 1200x+ 45000

The given parameters are

Rate = $1200 per year

Initial price in 1960 = $45000

In a linear function, we have

Slope, m = Rate

Y-intercept, c = Initial price

A linear equation is represented s

y = mx + c

So, we have

y = 1200x+ 45000

Hence, the linear function that models the relationship between the two variables is y = 1200x+ 45000

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Answer:

y=-5/6x-8

Step-by-step explanation:

Slope intercept form: y=mx+b

5x+6y=-48

6y=-5x-48  

y=-5/6x-8

Answer:

Salena is incorrect. I would advise her to try reversing the question to check her work. Please see below to check it.

Step-by-step explanation:

38 ÷ 5 = 7

Try reversing to check.

7*5=35

38 divided by 5 does not equal to 7.

Hope this helps!

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The required code for the pedometer is illustrated below:

steps_per_mile=2000

def steps_to_miles(steps, inches_per_step):

   distance = steps * inches_per_step

   miles = distance / (steps_per_mile * inches_per_step)

   return miles

if __name__ == '__main__':

   steps = int(input())

   inches_per_step=float(input())

   miles_in_pedometer = steps_to_miles(steps,inches_per_step)

   print(f"You walked {steps} steps which are about {miles_in_pedometer:.2f} miles.")

what is a pedometer?

The required code for the pedometer is illustrated below:

steps_per_mile=2000

def steps_to_miles(steps, inches_per_step):

   distance = steps * inches_per_step

   miles = distance / (steps_per_mile * inches_per_step)

   return miles

if __name__ == '__main__':

   steps = int(input())

   inches_per_step=float(input())

   miles_in_pedometer = steps_to_miles(steps,inches_per_step)

   print(f"You walked {steps} steps which are about {miles_in_pedometer:.2f} miles.")

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The LCM of 34 using prime factorisation method is 2 and 17

Answer:

(2, - 1 )

Step-by-step explanation:

to determine which point belongs on the line, substitute the x- coordinate into the right side and if the value obtained is equal to the y- coordinate then it lies on the line.

(1, 3 ) : y = 2(1) - 5 = 2 - 5 = - 3 ≠ 3 ← not on line

(0, 7 ) : y = 2(0) - 5 = 0 - 5 = - 5 ≠ 7 ← not on line

(2, - 1 ) : y = 2(2) - 5 = 4 - 5 = - 1 ← lies on line

(3, - 11 ) : y = 2(3) - 5 = 6 - 5 = 1  ≠ - 11 ← not on line

The expression that is NOT equal to the others is ab + c

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expressions are given as

ab + ac

(b + c)a

a(b + c)

ab + c

Next, we evaluate the expressions as follows

So, we have

ab + ac = ab + ac

(b + c)a = ab + ac

a(b + c) = ab + ac

ab + c = ab + c

See that all but the  last expression have a value of ab + ac

Hence, the expression that is NOT equal to the others is ab + c

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It should be noted that the hypotenuse is the longest side in the triangle. The opposite is the side facing the angle and the adjacent is the last side.

The hypotenuse is the longest side of a right triangle. An "opposite" side is one that is across from a given angle, while a "adjacent" side is one that is close to a given angle.

According on the angle requested, adjacent and opposing sides can differ. The side that is opposite to the requested angle is the opposite side, and the side that is immediately adjacent to the requested angle is the adjacent side.

In conclusion, the opposite is the side facing the angle and the adjacent is the last side.

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The actual length of the swimming pool be 15m if the scale used by Luke is 7cm : 3m.

Let the actual length of the pool be x m.

According to the given question.

Luke measured a swimming pool and made a scale drawing. The scale he used was 7 centimeters : 3 meters.

⇒ The scale is 7cm : 3m.

Also, the length of the pool in the drawing is 105cm.

Therefore, the actual length of the swimming pool is given by

7cm : 3m  = 105cm : x          (by proportion fromula)

⇒ 7x = 105

⇒ x = 15m

Hence, the actual length of the swimming pool be 15m if the scale used by Luke is 7cm : 3m.

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