two angles are a linear pair, and one has twice the measure of the other. Find the smaller angles measure

We can solve this by means of the change of base formula:

By replacing x for y, 3 for a, and 27.3 for x into the above formula, we get:

Then, x = 3.0101

Answer:

[tex]X=\frac{-z}{m-y}[/tex]

Step-by-step explanation:

first write the coordinates

A (5,8)

B(9,8)

C(9,5)

D(5,5)

to rotate 90 degrees clockwise you must swap coordinates I mean change x for y and change the sign of the secon term or the new y

A(5,8)-->A'(8,-5)

B(9,8)-->B'(8,-9)

C(9,5)-->C'(5,-9)

D(5,5)-->D'(5,-5)

Given:

There are given the equation:

Explanation:

According to the question:

we need to find the factor of the given equation:

So,

From the equation:

Final answer:

Hence, the factor of the given equation is shown below:

Answer:

slope = 50

Step-by-step explanation:

Equation of slope of line is

y = mx + b

where m = slope and b = y-intercept which is the y-value for the point at which the line crosses the y-axis

In the graph you can see that the line crosses at (0,0)

So y-intercept is 0

Equation is y = mx

To find m

take two points on the line and calculate rise/run

rise = difference in y-values

run = difference in x-values

Points(0,0) and 1, 50) lie on the line

rise = 50 - 0 = 50

run = 1-0 = 1

slope = 50 /1 = 50

Step-by-step explanation:

I assume the ? is the left leg of the left triangle.

the middle line (right leg of the smaller left triangle, and the left leg of the larger right triangle) bisects the top angle of the main large triangle (because the top angles left and right from the middle line are equal).

that means per the angle bisector theorem

5 / 4 = 10 / ?

5 = 10×4/? = 40/?

?×5 = 40

? = 40/5 = 8

Answer:

8.1

Step-by-step explanation:

just calculate 45 of 18%

Answer:

1/4

Step-by-step explanation:

The points (-4, 5) and (0, 6) lie on the line. Substituting into the slope formula,

[tex]\frac{6-5}{0-(-4)}=\frac{1}{4}[/tex]

Horizontal leg = 6 units

Vertical leg is 4 units

Lets Represent the diagonal as line AB where A and B are the endpoints of the line segment

The coordinates of point A is ( 12,4)

The coordinates of point B is ( 6,0)

Slope = ( Y2 - Y1 ) / (X2 -X1) = (0 - 4) / ( 6 - 12) = -4 / -6 = 2/3

or simply.

slope = rise / run = vertical leg/ horizontal leg = 4/6 = 2/3

ANSWER

Horizontal leg = 6 units

Vertical leg is 4 units

Slope = 2/3

Answer: the answer is c)The first equation should be multiplied by 7 and the second equation by -6.

Step-by-step explanation:edge 2022

Answer:

C

Step-by-step explanation: -6

The given statement is true.

What is variables?

In statistical modelling, experimental sciences, and mathematical modelling, there are dependent and independent variables. Dependent variables are so named because they are researched in an experiment under the assumption or requirement that they are dependent on the values of other variables according to some rule or law.

The given statement is true.

It does not matter whether we average the data across every month or every year as long as the variables are the same; the correlation will remain the same. Since the correlation coefficient r is a unitless metric, the time variable has no effect on it.

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Answer:

2 times 1/4 = 1/2 or 0.5

Step-by-step explanation:

Step 1: Setup

First of all, note that 2 is the same as 2/1 since 2 divided by 1 is 2. Therefore, start by setting up the problem like this:

2/1 x 1/4

Step 2: Multiply

Multiply the numerators together (2 x 1 = 2) and multiply the denominators together (1 x 4 = 4) and make it into one fraction like so:

2/4

Step 3: Minimize

The greatest common factor of 2 and 4 is 2. Minimize the fraction by dividing the numerator and the denominator by its greatest common factor to get the answer as follows:

1/2

[tex] \frac{ - 1(15 + 4 - 27)}{16} \\ = \frac{ - 1(19- 27)}{16} \\ = \frac{ - 1( - 8)}{16} \\ = \frac{8}{16} \\ = 0.5[/tex]

ATTACHED IS THE SOLUTION

Answer:

= - 19 + 16^27

The amount of money that Emilio will pay back in two years is $1392.00.

The accrued amount includes principal plus interest.

Simple interest formula can be expressed as;

A = P( 1 + rt )

Where A is accrued amount, P is principal, r is rate and t is time elapsed.

Given the data in the question;

First, converting percent to decimal.

Rate r = 8% = 8/100 = 0.08

Now, plug the given values into the above formula and solve for the accrued amount.

A = P( 1 + rt )

A = $1200( 1 + 0.08 × 2 )

A = $1200( 1 + 0.16 )

A = $1200( 1.16 )

A = $1392.00

Therefore, the accrued amount is $1392.00.

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Answer:

x= -8/41

y= 27/41

Step-by-step explanation:

7y=2x+5

3x+10y=6

maybe divide all parts of first equation by 7 to leave y by itself: y=2/7x+5/7

Then plug that in for y in the second equation:

3x+10(2/7x+5/7)=6

Then just solve for x:

x= -8/41

Substitute value of x into first equation:

7y=2(-8/41)+5

Solve for y:

y=27/41

In systems of equations, the values of x and y are -8 and 3, respectively.

Given systems of equations are:

7y=-2x+5 .....(i)

3x+10y=6 .....(ii)

We want both equations to be in standard form (Ax + By = C) so we need to fix the first equation.

For the equation (i), simply add 2x from both sides, so that x & y are on the same side of the equal sign

2x + 7y = 5 .....(i)

3x + 10y = 6 .....(ii)

To get the same x value in both equations (i) and (ii), we must now multiply equation (i) by 3 and equation (ii) by 2.

3(2x + 7y = 5) .....(i)

2(3x + 10y = 6) .....(ii)

Simplify.

6x + 21y = 15 .....(i)

6x + 20y = 12 .....(ii)

Now, subtract equations (ii) from (i)

y = 3

Now, substitute value of y = 3 in equation (i).

2x + 7y = 5 .....(i)

2x + 7(3) = 5

2x + 21 = 5

Then, subtract 21 from both sides.

2x + 21 - 21  = 5 - 21

2x = - 16

Divide both sides by 2.

2x / 2 = - 16 / 2

x = -8

So, x = -8 & y = 3

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Answer:

if you can't read my pic the answer is: p+r-s=q

Step-by-step explanation:

The expression of  (√t)² ​is t.

A number can be squared, but it can also be divided into its square root. The value we get from multiplying a number by itself yields its square value, whereas the value we get from finding a number that, when squared, yields the original value of the number yields its square root value. In the event that 'a' is the square root of 'b,' then a a = b. Any number has two square roots, one with a positive value and the other with a negative value, because any number's square is always a positive number. As an illustration, the square root of 4 has the values 2 and -2. A number's power 1/2 value is represented by a number's square root. In other words.

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Answer:

First let the length be a variable (eg: x) so that we can form an expression and solve.

Let the length of the rectangle be x units.

Form an expression for the width of the rectangle using the information given.

Width = (x - 3) units

Area of rectangle = length x width

Using the formula, form an equation.

x(x - 3) = 18

Simplify and solve for x.

x² - 3x = 18

x² - 3x - 18 = 0

(x - 6)(x + 3) = 0

x - 6 = 0 or x + 3 = 0

x = 6 or x = - 3 (reject)

The length cannot have a negative value so reject - 3.

Hence, the length of the rectangle is 6 units.

Examining the given figure it can be calculated that

Given that

EI = 2x + 1

FH = 3x + 9

m< FIG = 50 degrees

The length of diagonals of rectangles are equal and when they bisect each other the divide each other into equal halves

EI is the half of FH, therefore we have that

( 3x + 9 ) / 2 = 2x + 1

3x + 9 = 2(2x + 1)

3x + 9 = 4x + 2

9 - 2 = 4x - 3x

7 = x

GI = EI (half diagonal of rectangle are equal)

GI = 2 * 7 + 1

= 15

m< FIG = 50 degrees = m<  EIH (vertical opposite angles)

m<  EIH + m<  IEH + m< IHE = 180

m<  IEH = m< IHE = y (base angles of isosceles triangle)

m<  EIH + 2y = 180

50 + 2y = 180

2y = 180 - 50

2y = 130

y = 65 degrees

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Explanation:

Given the functions

f(x) = x-5

G(x) = x^2

We are to find the composite function G(f(x))

The length, [tex]x[/tex], of the other base, in meters is 10.

The area of trapezoid = 24 square meters

The altitude = 4 meters

The length of one base = 2 meters

We have to find the length [tex]x[/tex] of the other base in meters.

To find the value of the length [tex]x[/tex] we use formula of area of trapezoid.

We use the area of trapezoid to find the value of length [tex]x[/tex] because we know the value of area of trapezoid, length of one base and altitude.

As we know the formula of area of the trapezoid

[tex]A=\frac{a+b}{2}\times H[/tex]

In the formula,

[tex]A=[/tex] area of trapezoid

[tex]a[/tex] and [tex]b[/tex] are the two length of two different base of the trapezoid

[tex]H=[/tex] height or altitude of the trapezoid

From the given question, [tex]A[/tex] = 24 square meters, [tex]a=x[/tex] meter, [tex]b[/tex] = 2 meters and [tex]h[/tex] = 4 meters.

Now putting the values in the formula.

[tex]24=\frac{x+2}{2}\times 4[/tex]

[tex]24=(x+2)\times 2[/tex]

Divide by [tex]2[/tex] on both side

[tex]\frac{24}{2} =\frac{(x+2)\times 2}{2}[/tex]

[tex]12=x+2[/tex]

Subtract [tex]2[/tex] on both side

[tex]12-2=x+2-2[/tex]

[tex]10=x[/tex]

[tex]x=10[/tex]

Hence, the length, [tex]x[/tex], of the other base, in meters is 10.

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A set of ordered pairs that contain only unique ordered pairs with unique x coordinates exists directed to as a function.

The set of ordered pairs is a function exists {(1, 5), (1, 6), (2,7), (3, 8)}.

A set of ordered pairs that contain only unique ordered pairs with unique x coordinates exists directed to as a function. A function is defined by an equation that generates a set of ordered pairs. Each x value in a relation must have a unique value for the y value for it to be a function. if there are multiple y-values associated with an x-value.

Because no two ordered pairs have the same first coordinates with the same second coordinates, the initial set of ordered pairs is a function.

A relationship and a function vary in that a relationship can have multiple outputs for a single input, whereas a function only needs one input to produce one outcome. This is the fundamental criterion used to distinguish between relation and function. These model concepts are created through the usage of relations.

Therefore, the correct answer is option C. {(1, 5), (1, 6), (2,7), (3, 8)}.

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On 4.98% of the policies, they will not have to pay a claim.

The possibility of the result of any random event is known as probability. This phrase refers to determining the likelihood that any given occurrence will occur. What are the chances of receiving a head, for instance, when we toss a coin in the air? The number of outcomes that could occur is the basis for the response to this question. The outcome in this case might be either head or tail. Therefore, there is a 50% chance that the result will be 1 / 2 head.

λ = 3 per year

To avoid having to pay a claim for these tubes, we need to determine the likelihood that they will live longer than a year.

Given by: The likelihood of tubes lasting longer than a year is

P(x > 1) = e^-λ*x

P(x > 1) =  e³*¹ = 0.04978

Therefore, they won't be required to pay a claim on 4.98% of the policies.

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The ratio of the number of blue marbles to the number of marbles that are orange or green is 1 : 3.

Ratio is defined as the relationship between two quantities. It can be expressed as a to b, a/b, or a : b.

Let a = total number of blue marbles

b = total number of orange and green marbles

If the total number of blue marbles is 5 and the total number of orange and green marbles are 9 and 6, respectively, then the ratio is 5 to (9 + 6).

Simplify the ratio.

5 : (9 + 6) = 5 : 15 = 1 : 3

Hence, the ratio is 1:3.

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Using a common factor, 20 - 4x³ can be rewritten as 4(5 - x³).

A common factor of two or more numbers is any number that the two numbers can be divided by and will leave no remainder.

For example, a common factor of 4 and 8 is 2. This is because:

2 into 4 will give us 2 without a remainder.

2 into 8 will give us 4 without a remainder.

To rewrite the expression, 20 - 4x³ using a common factor, find the factor that will go into each of the terms without a remainder.

4 into 20 will give us 5 without a remainder.

4 into 4x³ will give us x³ without a remainder.

Therefore, we can factor out the common factor from the expression to rewrite 20 - 4x³ as 4(5 - x³).

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The solution to the inequality given as 3 - x/2x + 1 ≥ 2 is (-oo, -1/2) u [1/5, oo]

The inequality expression is given as

3 - x/2x + 1 ≥ 2

Cross multiply in the above inequality

So, we have

3 - x ≥ 2(2x + 1)

Open the brackets in the inequality

So, we have

3 - x ≥ 4x + 2

Collect the like terms

4x + x ≤ 3 - 2

Evaluate the like terms

5x ≤ 1

Divide by 5

x ≤ 1/5

Because of the denominator 2x + 1, we have

x > -1/2

This means that the solution is (-oo, -1/2) u [1/5, oo]

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The system of equations is:

To solve the system of equations by graphing, we need to make a graph of each equation. For that, we solve for y in both equations:

We have two equations to graph:

Comparing with the slope-intercept equation:

Where m is the slope and b is the y-intercept.

We can see that the slope of the two equations is m=-2, this means that the lines will have the same rate of change of -2 in y for every 1 in x. And one graph will cross the y-axis at 4 and the other at +6.

The graph of the two equations is shown in the following image:

Where the green line is the first equation, and the red line is the second equation.

There is no solution to this system of equations because the lines do not intersect each other.

The probability that 3 of the people chosen would be women = 0.36.

Probability is basically a numerical description of how likely an event is supposed to happen. It is a number something between 0 and 1.

total number of people = 16

total number of women = 8

number of chosen employees randomly to receive tickets to a concert = 5

probability to find = that 3 of them will be women

Therefore, we can conclude that the probability of 3 of the chosen people will be women is 0.36.

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The equation of each line in slope-intercept form are:

1. y = -2x + 3

2. y = -3/5x - 6

3. y = 1/4x + 8

If we are given a point (a, b) and the slope of a line (m), we can write the linear equation in slope-intercept form by first plugging in the given values into y - b = m(x - a), then rewrite it in the slope-intercept form as y = mx + b.

1. Slope (m) = -2

Point (a, b) = (0, 3)

Plug in the values into y - b = m(x - a):

y - 3 = -2(x - 0)

y - 3 = -2x + 0

y = -2x + 0 + 3

y = -2x + 3 [slope-intercept form]

2. Slope (m) = -3/5

Point (a, b) = (-5, -3)

Plug in the values into y - b = m(x - a):

y - (-3) = -3/5(x - (-5))

y + 3 = -3/5x - 3

y + 3 - 3 = -3/5x - 3 - 3

y = -3/5x - 6 [slope-intercept form]

3. Slope (m) = 1/4

Point (a, b) = (-8, 6)

Plug in the values into y - b = m(x - a):

y - 6 = 1/4(x - (-8))

y - 6 = 1/4(x + 8)

y - 6 = 1/4x + 2

y - 6 + 6 = 1/4x + 2 + 6

y = 1/4x + 8 [slope-intercept form]

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The time for the teacup to last is D. m = 3.5 minutes.

An expression is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the number of minutes be m.

The amount of time is one minute more than twice the length of time for the teacup ride. This will be:

= (2 × m ) + 1 = 8

2m - 1 = 8

Collect like terms

2m = 8 - 1

2m = 7

Divide

m = 7/2

m = 3.5

The correct option is D.

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Answer:

d) m = 3.5 minutes

Step-by-step explanation:

Now we have to,

→ find the time the teacup ride last.

Forming the equation,

→ 2m + 1 = 8

Then the value of m will be,

→ 2m + 1 = 8

→ 2m = 8 - 1

→ m = 7/2

→ [ m = 3.5 min ]

Hence, ride lasts for 3.5 min.