14. Are the two triangles similar?

The equation of the straight line through the points (0,7) and (3,1) is y = -2x + 7. This equation represents a line with a slope of -2 passing through the point (0,7).

To find the equation of a straight line passing through two points, we can use the point-slope form of the equation: y - y₁ = m(x - x₁), where (x₁, y₁) represents one point on the line and m is the slope of the line.

(a) Given the points (0,7) and (3,1), we can calculate the slope (m) using the formula: m = (y₂ - y₁)/(x₂ - x₁). Plugging in the values, we get m = (1 - 7)/(3 - 0) = -6/3 = -2.

Next, we choose one of the points (0,7) and substitute its coordinates into the point-slope form. Using (x₁, y₁) = (0,7) and m = -2, the equation becomes y - 7 = -2(x - 0).

Simplifying, we get y - 7 = -2x, and by rearranging the terms, we obtain the equation of the line: y = -2x + 7.

To learn more about straight lines click here:

brainly.com/question/31693341

#SPJ11

Based on the given information, the solid figure described is a pyramid.

We have,

A pyramid is a three-dimensional geometric shape that has a polygonal base and triangular faces that converge to a single point called the apex.

In the case described, the pyramid has four triangular faces, indicating that its base is a triangle.

Since a triangle has three sides, and there are four triangular faces, the pyramid has a total of 8 edges.

The triangular faces of the pyramid meet at the apex, forming a point at the top.

The base of the pyramid is a polygon, and in this case, it is a triangle.

The remaining three faces are also triangles that connect each of the edges of the base to the apex.

Therefore,

Based on the given information, the solid figure described is a pyramid.

Learn more about pyramid here:

https://brainly.com/question/17615619

#SPJ1

Answer:

13.747... meters

Step-by-step explanation:

Refer to image attached~

In this case, the longest side of the triangle formed is AC. Thus, our hypotenuse is AC (17 m).

To determine the height of the building, we need to use pythogoras theorem.

Pythogoras theorem: (Hypotenuse)² = (Side)² + (Side)²

Take square root both sides:

Answer:

13.75 ft (nearest hundredth)

Step-by-step explanation:

The ladder creates a right triangle with the wall and ground, where:

Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Substitute the given values into the formula and solve for b:

⇒ 10² + b² = 17²

⇒ b² = 17² - 10²

⇒ b² = 289 - 100

⇒ b² = 189

⇒ b = ±√(189)

As distance is positive, b = √(189) ft only

Therefore, the ladder reaches 13.75 ft (nearest hundredth) up the wall.

Answer: The volume is 72. The surface area is 108

Step-by-step explanation:

V=bwh

6*3*4 = 72

The volume is 72

For surface area, find the area of all 6 sides and then add them together.

6*4 = 24   24*2  = 48

3*4 = 12  12*2 = 24

6*3 = 18  18*2 = 36

48+24+36=108

The surface area is 108

Answer:

Surface area= 108cm

Volume= 72cm

Step-by-step explanation:

Surface area of a Rectangular Prism:

2lw+2lh+2wh

Plug in your numbers:

l-6cm

w-3cm

h-4cm

2(6)(3)+2(6)(4)+2(3)(4)

108

Surface Area=108cm

Volume of a Rectangular Prism:

lwh

Plug in your numbers:

l-6cm

w-3cm

h-4cm

(6)(3)(4)

72

Volume=72cm

Hope this helped!

Answer:

specialist species

Answer:

Below

Step-by-step explanation:

3/8 h = - 9    multiply both sides of the equation by   8/3

h = - 9 * 8/3 = - 24

Answer:

v=3.2

Step-by-step explanation:

12.8 = 4v

v= 12.8/4       isolate the variable and divide.

v= 3.2            Answer

The company has 5280 employees and 264 supervisors as calculated using ratios.

The company has 3 supervisors for 60 employees.

Ratio of employees to supervisors = 60 : 3 = 20 : 1

So for 264 supervisors employees = 264 × 20 = 5280 employees.

Hence the company has 5280 employees.

An ordered pair of other integers, a fraction with the first number in the numerator and the second in the denominator, or the value this fraction denotes are all ways to conceptualize ratios.

Rational numbers, and occasionally natural numbers as well, are ratios of counts stated in terms of (non-zero) natural numbers. When two integers are compared with the same unit of measurement, which happens frequently, the ratio of the two integers is a dimensionless number.

A rate is created by multiplying two numbers with different unit measurements. Even though the values being compared are initially measured in separate units, ratios can still be unitless provided they relate quantities in the same dimension.

To learn more about employees visit:

https://brainly.com/question/11768194

#SPJ4

Answer:

why does it say upload?

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

72/ 6 = 12

12 x 9 = 108

Answer:

if Noah is 60 inches tall (5ft) and noah's friend is 2 inches shorter than he is 58inches tall, so no he won't be able to. but Noah could be 61 inches, but his friend is still to short.

Answer:

it depends, if Noah is taller than 60 by more than 2 inches his friend can ride but if he is exactly 60 inches then his friend would not be able to ride

Step-by-step explanation:

Answer:   27 mec. pencils

Step-by-step explanation:

Answer: An equation with one variable can have no solutions, one solution, or infinitely many solutions. An equation with two variables can have no solutions, one solution, or infinitely many solutions

Step-by-step explanation:

brainliest me

The probability that the two individuals will meet is 1/3 or approximately 0.3333.

To determine the probability that the two individuals will meet, we need to consider the time window during which they both remain present.

Let's break down the problem step by step:

Determine the possible arrival times for the first individual:

The first individual arrives randomly between 11:00 am and 11:45 am.

Since they stay for 30 minutes, their departure time will be between (arrival time) and (arrival time + 30 minutes).

Determine the possible arrival times for the second individual:

The second individual arrives randomly between 11:30 am and 12:00 pm.

Since they stay for 15 minutes, their departure time will be between (arrival time) and (arrival time + 15 minutes).

Find the overlapping time range:

To find the window when both individuals are present, we need to identify the overlapping time range between their arrival and departure times.

Calculate the probability of meeting:

The probability of meeting is equal to the length of the overlapping time range divided by the total time available for both individuals.

Given the above information, let's calculate the probability of the two individuals meeting:

The overlapping time range occurs when the first individual arrives before the second individual's departure and the second individual arrives before the first individual's departure. This can be visualized as an intersection of the two time ranges.

The overlapping time range for the two individuals is between 11:30 am and 11:45 am because the first individual arrives at the latest by 11:45 am (allowing for a 30-minute stay) and the second individual leaves at the earliest by 11:45 am (after staying for 15 minutes).

The total time available for both individuals is 45 minutes (from 11:00 am to 11:45 am).

Therefore, the probability of the two individuals actually meeting is:

Probability = (length of overlapping time range) / (total time available)

Probability = 15 minutes / 45 minutes

Probability = 1/3 or approximately 0.3333

Hence, the probability that the two individuals will meet is 1/3 or approximately 0.3333.

Learn more about  probability   from

https://brainly.com/question/30390037

#SPJ11

Answer:

x<5

Step-by-step explanation:

Step-by-step explanation:

let x be the price of the adult ticket and y the price of child ticket

so

3x+7y=132

4x+7y=141

from the first equation 7y=132-3x

lets replaxe this from the second equation

4x+(132-3x)=141

4x-3x=141-132

x=9

so knowing that 7y=132-3x

7y=132-3*9

7y=105

y=105/7=15

so finaly the adult ticket cost 9 dollars and child ticket cost 15 dollars

Answer:

1) Given

2) Defintion of Right Angle

3) Transitive Property of Equality

4) Definiton of Congruent Angles

Step-by-step explanation:

Answer:

B: shift vertically up by 3

Step-by-step explanation:

I suggest using desmos graphing for future questions like these

Hope this helps :)

Answer:

-1/3

Step-by-step explanation:

The slope is also the rise/run. You go up on the graph by 1 and left 3 spaces so it is -1/3

Answer:

Step-by-step explanation:

Use the given functions to set up and simplify

14%. 14.5 = 14% = 0.14

Answer:

Can't be answered, as written.

Step-by-step explanation:

Please check the equations.  As written, they are the same:

y=2x-4 and 6x-3y=12

The second, 6x-3y=12, can be rewritten:

-3y = -6x + 12

y = 2x - 4   is the same as the first equation.

========

I'll do an example based on a different first equation.  Let's try:

y = 4x-4 and 6x-3y=12

There are two equations and 2 unknowns.  We can solve this in either of two ways:  Mathematically and Graphically.  Let's try both.

Mathematically.

Pick either equation and isolate one of the variables (x or y)

I'll chose the first, since the variable y is already isolated.  (the efficient approach)

y = 4x-4

Take the second equation and use the definition of y provided by the first equation in place of y is the second:

6x-3y = 12

6x-3(4x-4) = 12  [Substituted the value of y given in the first equation]

6x - 12x + 12 = 12

-6x=0

  x= 0

Use x = 0 in either equation to find y:

y = 4x-4

y=4*(0)-4

y = -4

The solution (where the lines intersect) is (0,-4)

We can also solve this graphically.  

Plot the two lines and look for their intersection.  The attached graph shows that to be (0,-4).

The statement "Multiple linear regression allows for the effect of potential confounding variables to be controlled for in the analysis of a relationship between x and y" is True

Multiple linear regression serves as a statistical technique to investigate the connection between a dependent variable (y) and multiple independent variables (x1, x2, x3, etc.). By embracing several variables concurrently, it enables the examination to incorporate and account for potential confounding variables, thereby enhancing the accuracy of the analysis.

Confounding variables represent variables that exhibit associations with both the independent variable and the dependent variable. This coexistence may lead to a misleading or distorted relationship between the two.

Find out more on multiple linear regression at https://brainly.com/question/29665935

#SPJ4

Answer:

16,777,216 bacterias.

Step-by-step explanation:

There are 24 hours in one day, and the given bacteria (1) doubles every hour.

Hour 0: 1

Hour 1: 1 x 2 = 2

Hour 2: 2 x 2 = 4

Hour 3: 4 x 2 = 8

Hour 4: 8 x 2  = 16

Hour 5: 16 x 2 = 32

Hour 6: 32 x 2 = 64

Hour 7: 64 x 2 = 128

Hour 8: 128 x 2 = 256

Hour 9: 256 x 2 = 512

Hour 10: 512 x 2 = 1,024

Hour 11: 1,024 x 2 = 2,048

Hour 12: 2,048 x 2 = 4,096

Hour 13: 4,096 x 2 = 8,192

Hour 14: 8,192 x 2 = 16,384

Hour 15: 16,384 x 2 = 32,768

Hour 16: 32,768 x 2 = 65,536

Hour 17: 65,536 x 2 = 131,072

Hour 18: 131,072 x 2 = 262,144

Hour 19: 262,144 x 2 = 524,288

Hour 20: 524,288 x 2 = 1,048,576

Hour 21: 1,048,576 x 2 = 2,097,152

Hour 22: 2,097,152 x 2 = 4,194,304

Hour 23: 4,194,304 x 2 = 8,388,608

Hour 24: 8,388,608 x 2 = 16,777,216

~

Another way to do it is using exponential functions. If it doubles every hour as such: \(2^{x}\)  , in which x is the amount of hours: \(2^{24} = 16777216\)

~

Answer:

C. 408.268

Step-by-step explanation:

4080.2679 to be rounded to the nearest thousandth

Count 3 digits after the decimal sign.

Discount the 4th digit after the decimal sign and since it is 9>5, add 1 to the previous digit: 7+1= 8

Correct option is C

The proportional relationship between the price and quantity of ears of corn can be represented using a table or a graph, showing how the price and quantity vary in a consistent manner.

One way to represent the proportional relationship between the price and quantity of ears of corn is by using a table:

Price (in dollars) Quantity (in ears of corn)

             2             5

             4             10

This table shows the corresponding values of the price and quantity.

As we can observe, when the price is $2, the quantity is 5 ears of corn, and when the price is $4, the quantity is 10 ears of corn.

The relationship is proportional because as the price doubles, the quantity also doubles.

Another representation of this proportional relationship is through a graph.

We can plot the points (2, 5) and (4, 10) on a coordinate plane, where the x-axis represents the price and the y-axis represents the quantity.

By connecting these two points with a straight line, we can visualize the proportional relationship.

The line will pass through the origin (0, 0) since zero price corresponds to zero quantity.

The slope of the line will indicate the rate of change between price and quantity.

For similar question on proportional.

https://brainly.com/question/29774220  

#SPJ8