A is between points B and C. AB = 2x - 3, BC = 7x - 10, and AC = 32.

What is the value of x?

A weathervane is used to indicate the direction of the wind. If the vane is pointing northeast and rotates 270° southeast is the new wind direction.

How can a weathervane be used to detect wind?

What does a weathervane with a wind vane display?

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The number of stars in 100 billion galaxies in scientific notation is

3 x [tex]10^{22}[/tex].

Scientific Notation is the expression of a number in the form a x [tex]10^{b}[/tex]. where a is an integer such that 1 ≤ |a| < 10 and b is an integer too.

We have,

Number of stars in  our galaxy = 3 x [tex]10^{11}[/tex]

Number of galaxies in the observable universe = 100 billion.

1 billion = 1,000,000,000 = [tex]10^{9}[/tex]

Number of stars in 100 billion galaxies:

= 3 x [tex]10^{11}[/tex] x 100 x  [tex]10^{9}[/tex]

= 3 x [tex]10^{11 + 2 + 9}[/tex]

= 3 x [tex]10^{22}[/tex]

Thus the number of stars in 100 billion galaxies in scientific notation is

3 x [tex]10^{22}[/tex].

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To make a computation easier, you adjust one number and alter another number in the problem is called compensation.

Compensation is a multi-digit addition mental math technique that entails adjusting one of the operand to make the equation simpler to solve.

Some examples of compensation are-

Thus, this method is used in solving with simpler form.

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Answer:

d. add 11 to both sides of the equation

Step-by-step explanation:

7x - 11 = 3

Answer:

The answer is in the provided screenshot!!!

I hope this helps! Please let me know if you have any questions!!!

Answer:

points

Step-by-step explanation:

the horizontally shrunk function by a scale factor K = 3 is modeled by:

g(x) =  |3*x| + 5

For any function f(x), we define a horizontal shrink or compression by a scale factor K as:

g(x) = f(K*x)

In this case the function is:

f(x) = |x| + 5

And the scale factor is K = 3.

Then we can write the compression as:

g(x) = f(3*x)

Replacing the actual function we will get:

g(x) = f(3*x) = |3*x| + 5

Then the horizontally shrunk function by a scale factor K = 3 is modeled by:

g(x) =  |3*x| + 5

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Answer:

The answer is 4x+(any number other than 4)

Step-by-step explanation:

If there are no solutions, then the equation will be equal to 4x + (any number other than 4).

Examples: 4x + 1, 4x + 2, 4x + 3

The angles D and F are not congruent angles.

According to the statement

We have to find that the not a pair of congruent angles.

So, For this purpose, we know that the

Congruent angles are two or more angles that are identical to each other. Thus, the measure of these angles is equal to each other. The type of angles does not make any difference in the congruence of angles

From the given information:

In this diagram we have to given the four angles which are E,F,G,D.

And out of these angles

The angles E and G are the congruent angles and the angles D and F are not congruent because according to the definition these angles are not follow the conditions of the congruent angles.

So, The angles D and F are not congruent angles.

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Step-by-step explanation:

first find the answer of 7^2 and swap it then it will be 1 over 49 multiply with 1 over 7^6

Answer:

Step-by-step explanation:

awnser is a

Answer:

I would say it's 8 because if the y=8 so if 8 is there you times it by 2 to get 16 so now you get 2 from x the exponent is 4 so 4x2 is 8 so 16-8=8 if that's wrong it's probable -8 because I haven't done exponents in a long time

The general form of a linear equation is y - y1 = m(x - x1). The point-slope form is y = - 1.75x.

The general form of a linear equation is y - y1 = m(x - x1). It draws attention to the line's slope and one of the line's points (that is not the y-intercept).

Given: (x1, y1) = (0, 0) and (x2, y2) = (-4, 7)

The point-slope form is given by,

y - y1 = m(x - x1)

m = (y2 - y1)/(x2 - x1)

substitute the values in the above equation, we get

m = (7- 0)/(-4 - 0) = -7/4

The value of m = -7/4.

y = -1.75x

Therefore, the point-slope form is y = - 1.75x

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1.9 > √3 > 5/4 > -1.2 are in the order from no. greatest to least.

1.9  > √3 = 1.732 > 5/4 = 1.25 > -1.2

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

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Based on the percent gratuity to the florist and the cost being rounded to the nearest ten, the amount of the tip is $9

When the cost for the florist is rounded to the nearest 10, it goes from $94 to $90.

When the percentage gratuity is rounded to the nearest ten, it goes from 12% to 10%.

The approximate tip is:

= 10% x 90

= $9

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Answer:      302 degrees

Step-by-step explanation:

The equation of the proportional relationship in the table attached below is: y = 40x.

Equation of a proportional relation is modelled as, y = kx. k = y/x, using any pairs of values for a given table. If the table is represents a proportional relationship, y/x for every pair of values would be the same.

Distance in miles = y

Time in hours = x

k = y/x = 80/2 = 120/3 = 160/4 = 40.

The relation represented by the table is proportional because y/x is the same for all pairs of values.

Substitute k = 40 into y = kx

y = 40x.

Thus, the equation of the proportional relationship in the table attached below is: y = 40x.

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[tex]Answer:\ \sqrt[3]{81} =3^\frac{4}{3}[/tex]

Step-by-step explanation:

[tex]\displaystyle\\\sqrt[3]{81}=(81)^\frac{1}{3} \\\\\sqrt[3]{81}=(3^4)^\frac{1}{3} \\\\\sqrt[3]{81} =3^{\frac{4}{3}\\[/tex]

Answer:

53degree

82+45=127

We know

There is 180 degree in the angle

For the missing value

180-127= 53

Answer:

Answer is in the attached screenshot! :)

Step-by-step explanation:

Please let me know if you have any questions! :)

The first five terms of a geometric sequence with first term 2 and common ratio (-2) are 2, -4, 8, -16, 32

The given parameters:

a₁ = 2, r = -2

r is the common ratio, hence, the given sequence is a geometric sequence.

In a geometric sequence, the formula for the nth term is given by:

       a(n) = a(1) . rⁿ⁻¹

We can also find the terms using recursive formula. The nth term of a geometric sequence is equal to the (n-1)th term times the common ratio, r. Mathematically,

       a(n) = a(n -1) . r

Let us start from n = 1

a(1) = 2  (given)

a(2) = a(1) . r = 2 . (-2) = -4

a(3) = a(2) . r = -4 . (-2) = 8

a(4) = a(3) . r = 8 . (-2) = -16

a(5) = a(4) . r = -16 . (-2) = 32

Thus, the first five terms are 2, -4, 8, -16, 32

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The algebraic expression (z+0)+y+0 is equivalent to (z+y) by the identity property of addition.

An algebraic expression is a simple and random combination of  constants and variables .

An expression constructed using integer constants, variables, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number).

The identity property of addition states that when a constant number is added to zero the value of the expression remains the same.

Since the absolute value of 0 is nothing so adding or subtracting zero from a constant does not change the value of the constant.

I.e, g+0=0 here the value of g does not change.

Given (z+0)+y+0

We know from the identity property of addition:

z+0=z and y+0=y

Therefore the value of the expression is (z+y) .

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Answer:

Below in bold.

Step-by-step explanation:

His total marks for the 4 tests

= 4*78

= 312,

For an average of 82% over 5 tests the total will have to be

82*5 = 410.

So, he needs to score 410 - 312

= 98% in his last test.

Answer:

angle TEA = 58 (which is 29 times 2) degrees

angle TEF = 37 (which is 74 divided by two 2) degrees

Step-by-step explanation:

The angle bisector divides a given angle into two equal parts

Answer:

0.916...miles per hour

Step-by-step explanation:

speed = distance/ time

12:30 - 7:30 = 5hours

275/ 5x60

275/300

=0.9166666667 miles per hour

( you can round this depending on whether it's to the nearest mile or 3 sf or something)

hope this works :)

The probability that the point of the spinner land on blue is 8.34%.

A pie chart is a type of chart that shows data in a circular graph.

We recognise that the pie's total value is always 100%. It is additionally recognized that a circle has a circumference of 360°. As a result, the sum of all the data equals 360°. Depending on these, there seem to be two main pie chart formulas:

On complete rotation of circle forms 360 degrees at the centre.

The total percentage of the all the colours is 100%.

Divide the value of blue by 3.6 because 360 degrees /100 percent = 3.6.

The total percentage of blue shown by the pointer of spinner is 30%.

Probability P (pointer landing on blue) = 30/3.6

Probability P (pointer landing on blue) = 8.333... = 8.4 (approx.)

Therefore, the probability that the pointer lands on the blue is 8.4.

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Answer:

x=7

Step-by-step explanation:

Answer:

[tex]{ \rm{ \frac{6 {x}^{2} + 18x }{2 {x}^{3} } = \frac{5}{x} }} \\ \\ { \rm{ \frac{3x + 9}{ {x}^{2} } = \frac{5}{x} }} \\ \\ { \rm{x(3x + 9) = 5 {x}^{2} }} \\ { \rm{3 {x}^{2} + 9x = 5 {x}^{2} }} \\ { \rm{3x + 9 = 5x}} \\ { \rm{2x = 9}} \\ { \rm{x = 4.5}}[/tex]

Step-by-step explanation:

Let the given midpoint is md which is: md (2, 5) and let say one end point is E (6, 3) and the other end point P( x, y).

So, by using midpoint formula we have,

[tex](2 \: \: 5) \: = (\frac{6 + x}{2} ) \: \: . \: (\frac{3 + y}{2} ) \\ 6 + x = 4 \\ \times = - 2 \\ and \: \: 3 + y = 10 \\ y = 7[/tex]

so the y - coordinate of the other end is y = 7