Triangle EFG is dilated with a scale factor of 1/2 to create triangle E'F'G'.
The measure of angle G is 42 degrees. What is the measure of angle G'? *
a)21
b)42
c)84
d)148

1.The machine will have no value after 48 months. 2.The graph of the machine's value over time will be a straight line. 3.The slope of the graph represents the rate of depreciation per month. 4.The intercepts of the graph indicate the initial value and zero value. 5.The expression V = -750x + 28,000 represents the value of the machine. 6.The machine has no value when x = 37 according to the expression. 7.The answer obtained using the expression differs from the answer in 8.question 1 due to possible rounding errors or calculation variations.

To determine when the machine has no value, we observe the pattern of depreciation. Based on the given data, the machine depreciates by $3,500 every 6 months. Therefore, it will take 48 months (8 cycles of 6 months) for the machine to have no value.

The table shows a consistent decrease in value over time with equal intervals of 6 months. This indicates a linear relationship between the number of months and the value. A linear relationship is represented by a straight line on a graph.

The slope of the graph can be determined by calculating the change in value divided by the change in time. In this case, the slope is (-750), meaning the value decreases by $750 per month. It represents the rate of depreciation per month.

The intercepts of the graph are obtained by determining the value of the machine at the start (initial value intercept) and when it reaches zero (zero value intercept). The initial value intercept is $28,000, which represents the starting value of the machine. The zero value intercept occurs when the machine has no value.

The expression V = -750x + 28,000 represents the value of the machine. The coefficient of x (-750) represents the rate of depreciation per month, while the constant term (28,000) represents the initial value.

Using the expression, when x = 37, the machine has no value. This differs from the answer in question 1 (48 months). The discrepancy could be due to rounding errors or variations in the method used to calculate the exact point at which the value reaches zero.

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Answer:

Hey there!

We have the angle is equal to half the measure of the arc of 120 degrees. (Just another rule for circles)

7x-10=0.5(120)

7x-10=60

7x=70

x=10

Hope this helps :)

Answer:

x = 10

Step-by-step explanation:

Tangent Chord Angle = 1/2 Intercepted Arc

7x-10 = 1/2 ( 120)

7x -10 = 60

Add 10 to each side

7x -10+10 = 60+10

7x = 70

Divide by 7

7x/7 = 70/7

x = 10

Step 1: Problem

Graph 12x - 3y = -6

Step 2: Concept and Method

When x = 0

12(0) - 3y = -6

-3y = -6

y = -6/-2

y = 2

when y = 0

12x - 3(0) = -6

12x = -6

x = -6/12

x = -0.5

The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:

3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The answer is (a): \($\mathbf{8 0 0 0}$\)

We have 20 options for each number. Each position is distinct from the others.

Thus, by counting the total number of options, \($=20^{3}=8000$\)

What is combination?

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Answer:

10

Step-by-step explanation:

All possible permutations except those that are not shown by the clock.

Eg:92:02

Answer:

2 feet per second is faster.

Step-by-step explanation:

2 seconds per foot would also equal half a foot per second, which is less than 2 feet per second.

Answer:

the answer is D

Step-by-step explanation:

y>4 : the shaded region is above the line

y>x : the shaded region is above the line

Answer:

y=-2x+5

Step-by-step explanation:

First, find the slope:

m=(y2-y1)/(x2-x1)  ==> slope formula where m is the slope

(–1, 7), (1, 3)  ==> (x1=-1, y1=7), (x2=1, y2=3)

m=(3 - 7)/(1 - (-1)) ==> plugin y2=3, y1=7, x2=1, and x1=-1 into the slope formula

m=(-4)/(1 + 1)  ==> simplify

m=(-4)/2

m=-2  ==> the slope is -2

y=mx+b  ==> slope-intercept equation

3=(-2)(1)+b  ==> plugin the slope(m=-2) and point B(1, 3)  ==> (x=1, y=3)

3=-2+b  ==> solve for b

3+2=-2+2+b  ==> add 2 on both sides to isolate b

b=5  ==> simplify

y=-2x+5  ==> plugin the slope and b=5 into the equation

To calculate the weighted mean of student 40's exam scores with exam 1 weighted twice that of the other 3 exams, you will need to use the weights provided in the spreadsheet. First, locate student 40's scores for all four exams on the second sheet of the spreadsheet. Then, apply the weights provided to each exam score.

To weight exam 1 twice that of the other 3 exams, you will need to multiply the exam 1 score by 2 and leave the other three scores as they are. Once you have adjusted the weights accordingly, you can calculate the weighted mean using the formula:

weighted mean = (weight1 * score1 + weight2 * score2 + weight3 * score3 + weight4 * score4) / (weight1 + weight2 + weight3 + weight4)

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.

The line segment congruent to line HF will be  DF. The correct option is C.

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.

Given that there are three triangles and these three triangles are connected to each other at the center's A, B, and C.

The diameter of the three circles is HF, DF, and DH. The three diameters are similar in shape and are also equal to each other.

Therefore, the line segment congruent to line HF will be  DF. The correct option is C.

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The student has to plug y=2x+4 into 3x+y=9 to solve for the system of equations

Answer:

Step-by-step explanation:

The friend solved

Answer:imma try to help you

Step-by-step explanation:

The function for the line can be written as F(x) = -(1/2)x - 3.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that line that includes the points (4,−5) and (8,−7).

The slope will be calculated as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( -7 +5  ) / ( 8 - 4)

Slope = -2 / 4= -1/2

The y-intercept will be calculated as,

y = mx + c

-7 = -1/2 x 8 + c

-7 = -4 + c

c = -3

The equation can be written as,

y = mx + c

y= -1/2(x) - 3

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The total distance for path C is 960 meters.

Path C consists of three segments: C1, C2, and C3.

C1: From the starting point, path C moves horizontally to the right for three blocks, which equals a distance of 3 blocks × 120 meters/block = 360 meters.

C2: At the end of C1, path C turns left and moves vertically downwards for two blocks, which equals a distance of 2 blocks × 120 meters/block = 240 meters.

C3: After C2, path C turns left again and moves horizontally to the left for three blocks, which equals a distance of 3 blocks × 120 meters/block = 360 meters.

To find the total distance for path C, we sum the distances of the three segments: 360 meters + 240 meters + 360 meters = 960 meters.

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Answer:

b

Step-by-step explanation:

i got it correct

Answer:

30 cm²

Step-by-step explanation:

solve for area of rectangle: 12 x 4 = 48 cm²

solve for area of triangle: 9 x 4= 36 / 2 = 18 cm²

subtract: 48- 18 = 30cm²

The cost of one computer is £600 and the cost of one printer is £800.

Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, and the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer.

Let the cost of a computer be x and the cost of a printer be y.

Then, the two simultaneous equations are:5x + 4y = 6600 ---------------------- (1)

4x + 5y = 6000 ---------------------- (2)

Solving equations (1) and (2) simultaneously:x = 600y = 800

Therefore, the cost of a computer is £600 and the cost of a printer is £800..

:Therefore, the cost of one computer is £600 and the cost of one printer is £800.

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Answer:

p = 5/2w

Step-by-step explanation:

We want the ratio of pink beads to white shells

p: w

5: 2

Cross multiply

2p = 5w

Divide by 2

p = 5/2w

At least 99% confidence that the sample percentage is inside 0.03 of the absolute proportion is required for 1844 residents.

Choose p = 0.5 since the previous estimate of population percentage is uncertain.

E = 0.03 is the margin of error.

A 99% confidence interval requires the following crucial value: \(z_{a/2}\) = 2.576

The act of deciding how many observations or repetitions to incorporate into a statistical sample is known as sample size determination.

The sample size,

n = 0.5 × (1 - 0.5) × (\(z_{a/2}\) ÷ E)²

n = 0.25 × (2.576 ÷ 0.03)²

n = 1843.27 ≈ 1844

As a result, the needed sample size is 1844.

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Answer:

m<x = 83

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180 degrees

x + 44 + 53 = 180 add like terms

x + 97 = 180 subtract 97 from both sides

x = 83

The length of KJ is 9 unit.

The  length of CB is 10 unit.

The section connecting a triangle's two sides at their midpoints is parallel to and only half as long as the third side.

Given:

12. Using Mid segment theorem

Mid segment= 1/2 of Triangle base

Mid segment= 1/2 x 18

Mid segment (KJ) = 9

13. Using Mid segment theorem

Mid segment= 1/2 of Triangle base

x+ 19 = 1/2(x+ 29)

2x + 38 = x+ 29

x = -9

So, length of CB = x + 19 = 10 unit

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A quadratic equation can be solved by factoring if its coefficients are rational numbers and its discriminant, which is the expression under the square root in the quadratic formula, is a perfect square.

To determine if a quadratic equation can be solved by factoring, you must first ensure that its coefficients are rational numbers, meaning that they can be expressed as a ratio of two integers. Once you have confirmed this, you can calculate the discriminant of the quadratic equation, which is the expression b²-4ac, where a, b, and c are the coefficients of the quadratic equation in standard form.

If the discriminant is a perfect square, then the quadratic equation can be solved by factoring. If the discriminant is not a perfect square, then the quadratic equation cannot be solved by factoring using rational numbers, but may still be solvable using other methods, such as completing the square or the quadratic formula.

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Answer:

1.79/100mL = 0.0179

2.19/150mL = 0.0146

so, look at the end numbers

0.0179

0.0146

0.0146 is less than 0.0179

soo, $2.19 / 150mL = 0.0146 is the better buy...

can i be brianiest...

The total area of the figure is obtained as option B: 21 3/8 cm².

What is area?

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.

To find the total area of the figure, we need to find the area of the rectangle and the area of the triangle, then add them together.

The area of the rectangle is -

Length x Breadth

= (3 1/2) cm x (4 1/2) cm

= (7/2) cm x (9/2) cm

= 63/4 cm²

The area of the triangle is -

1/2 x Base x Height

= 1/2 x (4 1/2) cm x (5/2) cm

= 45/8 cm²

To find the total area of the figure, we add the area of the rectangle and the area of the triangle -

Total area = Area of rectangle + Area of triangle

Total area = (63/4) cm² + (45/8) cm²

Total area = (126/8) cm² + (45/8) cm²

Total area = 171/8 cm²

Therefore, the total area of the figure is 21 3/8 cm² or 21.375 cm² if we want to use decimal notation.

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Answer:

8.89 feet

Step-by-step explanation:

\(\sqrt{79}\) = 8.888, rounded to nearest hundredth would be 8.89

The range of the data is R = 9

Given data ,

Let the range of the data be R

Now , the value of R is R = maximum value - minimum value

Let the data be A = { 5, 9.5, 3, 12, 6, 8, 4.5, 10, 6.5 }

The range of a set of data, we need to subtract the minimum value from the maximum value.

The minimum value in this set of data is 3 (which occurs in the third week), and the maximum value is 12 (which occurs in the fourth week).

Therefore, the range is:

range = maximum value - minimum value = 12 - 3 = 9

Hence , the value of the range for this set of data is 9

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