find the first three common multiplies
6 and 8​

The coordinates of the points B' and C' are B' = (-1, 10) and C' = (-6, -5)

From the question, we have the following parameters that can be used in our computation:

A = (-2, -4)

This point is translated to

A' = (-3, -1)

This means that the rule of transformation is

(x, y) = (x - 1, y + 3)

Given that

B = (0, 7) and C = (-5, -8)

When this transformation is applied on B and C, we have

B' = (0 - 1, 7 + 3) and C' = (-5 - 1, -8 + 3)

Evaluate

B' = (-1, 10) and C' = (-6, -5)

Hence. the coordinates of B' and C' are B' = (-1, 10) and C' = (-6, -5)

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The value of x in the lines is 126 degree

We are given that;

Three parallel line and one intersecting line

Angles= (x-6) and 60

Now,

By supplementary angles property

Angle 1 + Angle 2 = 180 degree

Substituting the values of angles

x-6 + 60 = 180

x + 54 = 180

x = 180-54

x = 126

Therefore by supplementary angles answer will be 126 degree.

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Answer:

Step-by-step explanation:

Answer: B.) 43

I just did it on usatestprep and I got 43

Step-by-step explanation:

The solution is Option B.

The time it took for Diane to complete her route on Thursday is given by the equation T = 43 minutes

The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Mean = Sum of Values / Number of Values

Given data ,

Let the mean of the data be represented as M = 46 minutes

The time it took for Diane to complete her route on Thursday be T

Now , the total time for all the 7 days be represented as S

And , the value of S is

S = 58 + 39 + 42 + 46 + T + 49 + 45

S = 279 + T

Substituting the values in the equation , we get

Mean = Sum of Values / Number of Values

46 = ( 279 + T ) / 7

Multiply by 7 on both sides of the equation , we get

322 = 279 + T

Subtracting 279 on both sides of the equation , we get

T = 322 - 279

T = 43 minutes

Hence , the value of T is 43 minutes

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Answer: 13

Step-by-step explanation:

4x+3y=-5 solve x :    

4x = -3y + -5           | -3y

1x = -0.75y + -1.25  | : 4

-3x + 7y = 13 solve x :

-3x + 7y = 13              | -7y

-3x = -7y = 13             | : (-3)

Equalization Method Solution: -0.75y+-1.25=2.333y+-4.333

-0, 75y - 1,25 = 2,333y - 4, 333 solve y:

-0, 75y - 1,25 = 2,333y -4, 333    | -2,333y

-3, 083y - 1,25 = -4,333               | + 1, 25

-3. 083y = -3,088                         | : (-3, 083)

y = 1

Plug y = 1 into the equation 4x + 3y = -5 :

4x + 3 · 1           | Multiply 3 with 1

4x + 3 = -5        | -3

4x = -8              | : 4

x = -2

So the solution is:

y = 1, x = -2

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Answer:

d

Step-by-step explanation:

Answer:

Jim     =6 years

Harry =2 years

Step-by-step explanation:

Answer: Harry is 2 years old, and Jim is 6 years old.

Step-by-step explanation: Set Harry's age for X

(X+4)+2 = 2X+4

Jim in 2 years            Harry in 2 years

x+6 = 2(x+2)

x+6 = 2x+4

2 = X

Answer:

We can start by using the second equation to eliminate x:

2x + 5y - 2z = 3

2x = -5y + 2z + 3

x = (-5/2)y + z + 3/2

Now we can substitute this expression for x into the first and third equations:

x + y + z = 4

(-5/2)y + z + 3/2 + y + z = 4

(-5/2)y + 2z = 5/2

x + 7y - 7z = 5

(-5/2)y + z + 3/2 + 7y - 7z = 5

(9/2)y - 6z = 7/2

Now we have a system of two equations with two variables, (-5/2)y + 2z = 5/2 and (9/2)y - 6z = 7/2. We can use any method to solve for y and z, such as substitution or elimination. However, we will find that the system is inconsistent, meaning there is no solution that satisfies both equations.

Multiplying the first equation by 9 and the second equation by 5 and adding them, we get:

(-45/2)y + 18z = 45/2

(45/2)y - 30z = 35/2

Adding these two equations, we get:

-12z = 40/2

-12z = 20

z = -5/3

Substituting z = -5/3 into (-5/2)y + 2z = 5/2, we get:

(-5/2)y + 2(-5/3) = 5/2

(-5/2)y - 10/3 = 5/2

(-5/2)y = 25/6

y = -5/12

Substituting y = -5/12 and z = -5/3 into any of the original equations, we get:

x + y + z = 4

x - 5/12 - 5/3 = 4

x = 29/12

Therefore, the solution is (x, y, z) = (29/12, -5/12, -5/3). However, if we substitute these values into any of the original equations, we will find that it does not satisfy the equation. For example:

2x + 5y - 2z = 3

2(29/12) + 5(-5/12) - 2(-5/3) = 3

29/6 - 5/2 + 5/3 ≠ 3

Since there is no solution that satisfies all three equations, the system is inconsistent.

Step-by-step explanation:

Answer:

See below for proof.

Step-by-step explanation:

A system of equations is not consistent when there is no solution or no set of values that satisfies all the equations simultaneously. In other words, the equations are contradictory or incompatible with each other.

Given system of equations:

\(\begin{cases}x+y+z = 4\\2x+5y-2z =3\\x+7y-7z =5\end{cases}\)

Rearrange the first equation to isolate x:

\(x=4-y-z\)

Substitute this into the second equation to eliminate the term in x:

\(\begin{aligned}2x+5y-2z&=3\\2(4-y-z)+5y-2z&=3\\8-2y-2z+5y-2z&=3\\-2y-2z+5y-2z&=-5\\5y-2y-2z-2z&=-5\\3y-4z&=-5\end{aligned}\)

Subtract the first equation from the third equation to eliminate x:

\(\begin{array}{cccrcrcl}&x&+&7y&-&7z&=&5\\\vphantom{\dfrac12}-&(x&+&y&+&z&=&4)\\\cline{2-8}\vphantom{\dfrac12}&&&6y&-&8z&=&1\end{aligned}\)

Now we have two equations in terms of the variables y and z:

\(\begin{cases}3y-4z=-5\\6y-8z=1\end{cases}\)

Multiply the first equation by 2 so that the coefficients of the variables of both equations are the same:

\(\begin{cases}6y-8z=-10\\6y-8z=1\end{cases}\)

Comparing the two equations, we can see that the coefficients of the y and z variables are the same, but the numbers they equate to is different. This means that there is no way to add or subtract the equations to eliminate one of the variables.

For example, if we subtract the second equation from the first equation we get:

\(\begin{array}{crcrcl}&6y&-&8z&=&-10\\\vphantom{\dfrac12}-&(6y&-&8z&=&\:\:\;\;\:1)\\\cline{2-6}\vphantom{\dfrac12}&&&0&=&-11\end{aligned}\)

Zero does not equal negative 11.

Since we cannot eliminate the variable y or z, we cannot find a unique solution that satisfies all three equations simultaneously. Therefore, the system of equations is inconsistent.

Answer:

0.026

Step-by-step explanation:

Twenty-six thousandths in decimal form is 0.026, because 0.0 is tenths, 0.00 is hundredths, so 0.000 is thousandths.

a)The value of  ∠b=64°.

b)The values of angles q, r, s, t are ∠q= 65°, ∠r=65°, ∠s=50°, ∠t=65°.

c)The value of  ∠B=72 degrees.

The same-side interior angles are additional if a transversal connects two parallel lines. Alternate interior angles are equivalent if a transversal connects two parallel lines. Corresponding angles are equal.

a) Given line PQ is parallel to ST.

   One of the theorems of parallel lines is, Corresponding angles are equal.

Here the corresponding angles are ∠a, ∠b.

so, ∠a=∠b

∴∠b=64°

b) It is given that lines B and C are parallel, according to one of the theorems of parallel lines, vertically opposite angles are equal. So, the angle opposite to 65° is also equal to 65°. Sum of the angles suspended by a line on another line is 180°. Therefore the other angle in the triangle is 180°-130°=50°.

Since the sum of interior angles in a triangle is 180°, the angle q will be:

   ∠q= 180°-(65°+50°)

    ∠q= 65°.

Vertically opposite angles are equal, therefore ∠q=∠r=65°.

∠s=180°-(65°+65°)

∠s=50°.

Corresponding angles are equal, therefore

130°=65°+∠t

∠t=65°.

c) Given lines A, and B are parallel. We know that the Corresponding angles are equal, therefore

3m=4m-24

⇒m=24

Therefore ∠B=4(24)-24

∠B=72 degrees.

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An equation of the line in point-slope form is y = 6x + 50.

y = y₁ = m(x -x₁) is the equation of a straight line, where m is the slope and (x₁, y₁) are the coordinates at a given point on the line (see slope-intercept form). When you know the slope and another point on the line, the point-slope form of a linear equation is most helpful for locating a point on a line. When two other points are known, it can also be used to locate a point on a line.

Given,

y₂ = 200

y₁ = 230

x₂ = 30

x₁ = 25

Slope = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

Slope = \(\frac{230-200}{30-25}\)

Slope = \(\frac{30}{5}\)

Slope = 6

Equation:

y - y₁ = m(x - x₁)

y - 200 = 6(x - 25)

y - 200 = 6x - 150

y = 6x + 50

An equation of the line in point-slope form is y = 6x + 50.

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Answer:

P = 0.309

Step-by-step explanation:

I REALIZED I DID IT WRONG SO UH IGNORE WHAT I SAID IM SORRY D:

Area of the triangle is 1/2 base x height

1/2(6)x(7)

21m^2

Area of the rectangle is l x b

6 x 10

60m^2

Total area = area of triangle + area of reactangle

Total area = 21m^2 + 60m^2

Therefore total area is 81m^2

Answer:

44 cm^2

Step-by-step explanation:

You can separate this figure into three rectangles. The area of the first rectangle is 20. The area of the second rectangle is 6. And the area of the third is 18. If you add those all together you get 44 cm^2

Answer:

B

Step-by-step explanation:

When you flip over the y-axis you the x is multiplied by -1

The value of x from the venn diagram if P(T | V) = 1/5 is 16

From the question, we have the following parameters that can be used in our computation:

The venn diagram

From the venn diagram, we have the following probability values

P(T | V) = (x - 4)/(3x + x - 4)

Evaluate the like terms

So, we have

P(T | V) = (x - 4)/(4x - 4)

From the question, we have

P(T | V) = 1/5

This means that

(x - 4)/(4x - 4) = 1/5

When evaluated, we have

x = 16

Hence, the value of x is 16

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Answer:

Step-by-step explanation:

The segment sum theorem tells you the whole is the sum of the parts. That can be used to write an equation for y.

  RS +ST = RT

  (5y +5) +(4y +8) = 67

Simplifying, we get ...

  9y +13 = 67

  9y = 54 . . . . . . . . subtract 13

  y = 6 . . . . . . . . . divide by 9

RS = 5y +5 = 5·6 +5 = 35

ST = 4y +8 = 4·6 +8 = 32

The values of interest are ...

Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​.

Here, we have,

given that,

the LHS is:

sin⁴x-cos⁴x/ sin²x-cos²x

now, we know that,

sin²x+cos²x = 1

and, we know that,

a² - b² = (a+b) (a-b)

so, we get,

sin⁴x-cos⁴x/ sin²x-cos²x

= (sin²x+cos²x) (sin²x-cos²x ) / sin²x-cos²x

=(sin²x+cos²x)

=1

= RHS

Hence, Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​

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Answer:

  B.

Step-by-step explanation:

The instructions to connect points WYXZ to make the square mean that WX and YZ are diagonals of the square. They must be mutual perpendicular bisectors. Their point of intersection is necessarily the center of the circle. That is, WX must be a diameter.

Answer:

8 hours and 26 minutes

Step-by-step explanation:

To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.

First, we can divide 506 by 60 to find the number of hours:

506 ÷ 60 = 8 with a remainder of 26

This means that 506 minutes is equal to 8 hours and 26 minutes.

Therefore, the conversion of 506 minutes to hours and minutes is:

8 hours and 26 minutes

We need to convert the fraction:

To a percent. The first step is to convert it to an improper fraction, we do that by adding the integer and fractional parts.

A percent is a fraction for which the denominator is equal to 100. So we need to multiply the denominator and numerator by a number that will make the denominator equals to 100.

The result is 125 %.

Answer:

4

Step-by-step explanation:

You would add 7 to 9 to find out what the "seven less than the product" is, this sums up to be 16. So then you would divide 16 by 4. In which that would be, 4:)

Answer:

A) 81 sq units

Step-by-step explanation:

Area of a trapezoid = one-half of height multiplied by the sum of the bases (the bases are the parallel sides)

the problem gives us all the values we need:

height = 9

smaller base is 'x' which is 7

larger bases is 2y+x which is 2(2)+7 = 11

A = 1/2·(9)(7+11)

= 1/2·9·18

= 9·9 which is 81 sq units

The multiplication of a number with a bigger numerator of a fraction will cause it to increase thus he could have multiplied with six-fifth.

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, the fraction is the division of the two numbers but the division is not wholly complete.

Let's say Leo's initial number size is x.

Now, multiply by six-fifth

6/5x > x

Since numerator is bigger the denominator (6 > 5)

If we multiple with four-fourths 4/4x = x(no increase)

Hence "The multiplication of a number with a bigger numerator of a fraction will cause it to increase thus he could have multiplied with six-fifth".

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Answer:

Cowardly get the 18th ribbon.

Step-by-step explanation:

Answer:

Tinman

Step-by-step explanation:

Scarecrow- 1 1 1 1 1

Tinman- 1 1 1 1 1

Cowardly Lion- 1 1 1 1

Toto- 1 1 1 1

Answer:

it is the answer number 1