Lucy made tables of values to approximate the solution to a system of

equations. First she found that the x-value of the solution was between 1 and

2. And then she found that it was between 1. 5 and 2. Next, she made this

table,

1. 5

16

1. 7

18 T

1. 9

y=-3x + 6

1. 5

12

09

0.

6

03

y = 4% - 5

1

14

18

22

2. 6

Since the corresponding sides are not proportional, we can say that the triangles are not similar

In similar triangles, corresponding sides are always in the same ratio.

Given are two triangles ΔWUV and ΔXZY.

It is given that -

VW = 60     ZY = 48     YX = 40     VU = 50     UW = 40     XZ = 32

For the triangles to be similar, the corresponding sides will be proportional.

WU/XZ = UV/ZY = WV/XY

40/32 = 50/48 = 60/40

1.25 ≠ 1.044 ≠ 1.5

The corresponding sides are not proportional.

Therefore, since the corresponding sides are not proportional, we can say that the triangles are not similar.

To solve more questions on similar triangles, visit the link below -

The corresponding sides are not proportional.

#SPJ1

Answer:

Step-by-step explanation:

Since the sum of all interior angles of a triangle is 180 degrees, we are able to derive the answer of what x (m<1 in this case) measures.

For example, in number 1, you can do

m<1 = 180 - 94 - 45

For the 2nd one, the tick marks show that the highlighted angles measure the same.

So, it would be (180-58)/2 = m<1

Finally, for the third one, there is a right angle, meaning that it measures 90 degrees

Therefore, 180-90-77 = m<1

Answer:

i dont eather i need to know the ?

Step-by-step explanation:

The equation of the line is y = 2x + 8 that is parallel to the given line y = 2x + 2 and passes through the point (−3, 2)

An equation is an expression that shows the relationship between two or more numbers and variables.

The equation of a straight line is:

y = mx + b

Where m is the rate of change and b is the y intercept.

Two lines are parallel if they have the same slope.

Let us assume that the line is parallel to y = 2x + 2 and passes through the point (−3, 2).

The slope of the line y = 2x + 2 is 2, Since it is parallel, the slope is also 2. hence:

y - y₁ = m(x - x₁)

y - 2 = 2(x - (-3))

y - 2 = 2(x + 3)

y = 2x + 8

The equation of the line is y = 2x + 8

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

An equation of the line that is parallel to the given line and passes through the point (−3, 2) is: 4x + 3y = -6.

Mathematically, the slope of any straight line can be calculated by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

By critically observing the graph (see attachment), we can logically deduce that the line passes through the following points:

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

Points (x, y) = (0, 3)

Substituting the given parameters into the formula, we have;

Slope, m = (3 + 1)/(0 - 3)

Slope, m = 4/-3

Slope, m = -4/3.

In Geometry, two (2) lines are parallel under the following conditions:

m₁ = m₂ ⇒ -4/3 = -4/3

Note: m represents the slope.

At point (-3, 2), an equation of the other line can be calculated by using the point-slope form:

y - y₁ = m(x - x₁)

Where:

Substituting the given points into the formula, we have;

y - y₁ = m(x - x₁)

y - 2 = -4/3(x - (-3))

y - 2 = -4/3(x + 3)

y - 2 = -4x/3 - 4

y - 2 = -4x/3 - 4 + 2

y = -4x/3 - 2

Multiplying all through by 3, we have:

3y = -4x - 6

Rearranging the equation, we have:

4x + 3y = -6

Read more on slope here: brainly.com/question/3493733

#SPJ1

Answer:

\(5^{8}\)

Step-by-step explanation:

5 times itself 5 times is 5 to the eighth power

Answer:

a. 3.5

Step-by-step explanation:

Since ∆ABG is similar to ∆CDG, therefore, their corresponding side lengths are proportional to each other.

Therefore:

DG/BG = GI/GH

10/5 = 7/GH (substitution)

Cross multiply

GH*10 = 7*5

GH*10 = 35

Divide both sides by 10

GH = 35/10

GH = 3.5

The calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.



To determine the number of significant figures in a calculation, we follow the rules for significant figures:

1. Addition and subtraction: The result should have the same number of decimal places as the measurement with the fewest decimal places.
2. Multiplication and division: The result should have the same number of significant figures as the measurement with the fewest significant figures.

Let's break down the calculation step by step:
\(9.04-8.23+21.954+81.0\) yields \(104.764\).

Now, multiplying this result by \(3.1416\) gives \(329.5719744\).

The measurement with the fewest significant figures in the calculation is \(3.1416\), which has 5 significant figures.

According to the rule for multiplication and division, the result should have the same number of significant figures as the measurement with the fewest significant figures. Hence, the result, \(329.5719744\), will be rounded to 4 significant figures.

Therefore, the calculation \((9.04-8.23+21.954+81.0) \times 3.1416\) would have 4 significant figures.

Learn more about significant figures here : brainly.com/question/29153641

#SPJ11

Answer:

201

Step-by-step explanation:

40.2*5=201

201 meters per minute

Answer:

p = ½ (x₁ + x₂)

q = a (x₁x₂ − ¼ (x₁ + x₂)²)

Step-by-step explanation:

y = a (x − x₁) (x − x₂)

Expand:

y = a (x² − x₁x − x₂x + x₁x₂)

y = a (x² − (x₁ + x₂)x + x₁x₂)

Distribute a to the first two terms:

y = a (x² − (x₁ + x₂)x) + ax₁x₂

Complete the square:

y = a (x² − (x₁ + x₂)x + ¼(x₁ + x₂)²) + ax₁x₂ − ¼ a(x₁ + x₂)²

y = a (x − ½ (x₁ + x₂))² + a (x₁x₂ − ¼ (x₁ + x₂)²)

Therefore:

p = ½ (x₁ + x₂)

q = a (x₁x₂ − ¼ (x₁ + x₂)²)

Answer:

A

Step-by-step explanation:

Eliminate B and C because they don't pass through (0,1).

Eliminate D because it doesn't decrease quickly enough.

The equation of line is y = ( -7/3 )x - 2

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 3 , -5 )

Let the second point be Q ( 0 , -2 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( -5 + 2 ) / ( 3 )

m = -7/3

Now , the equation of line is y - y₁ = m ( x - x₁ )

On simplifying , we get

y + 2 = ( -7/3 )x

Subtracting 2 on both sides , we get

y = ( -7/3 )x - 2

Hence , the equation is y = ( -7/3 )x - 2

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ1

Answer:

3b/2 + 3

Step-by-step explanation:

The formula to calculate perimeter of rectangle is 2l + 2w

The length is half the width so length is 1/2 (b/2 +1), which when simplified is b/4 + 1/2

Using the formula to calculate perimeter you can substitute and calculate

p= 2l + 2w

p= 2(b/4 + 1/2) + 2(b/2 + 1)

p= 2b/4 +2/2 + 2b/2 +2

p= 1/2b + 1 + b + 2

p= 3/2b + 3

Simplified it's 3b/2 +3

Answer:

Check it below

Step-by-step explanation:

Hello!

By definition, the intercept of the 3 bisectors, within a triangle is the Incenter. So let's get started, by tracing three bisectors.

In the triangle PQR::

\(\overline {QR},\:\overline{PR}\)

   4.Trace with a ruler, from each intersection point a line. You'll trace three lines then.

    5. Place the compass' needle point in this intersection point, (inside the triangle) with a hinge up to the triangle side, draw the circle inscribed.

Answer:

edg but few yrs later

Step-by-step explanation:

Answer:

1. 30

2. 52

3. 85

4. 8

5. 80

6. 1

7. 63

8. 0.1

9. 15

10. 48

11. 60

12. 50

Step-by-step explanation:

The work done in each of the cases is:

B) W =  8,400 N*m

C) W = 17,500 N*m

The work can be defined by the product between the force and the distance translated.

W = Force*Distance

So, if there is a force of 120N and the vehicle moves 70 meters, the work done is:

W = 120N*70m = 8,400 N*m

C) Similar case to the above one, here the force is F = 3.5 KN = 3,500N

And the distance is d = 15m

Then in this case the work done is:

W = 3,500N*15m = 17,500 N*m

Learn more about work at:

https://brainly.com/question/25573309

#SPJ1

The third side of the right angle triangle is x = 15 ft.

What is right angle triangle?

A right triangle is a triangle with one angle at a right angle, meaning that two of its sides are perpendicular. It is also known as a right-angled triangle, an orthogonal triangle, or more commonly as a rectangled triangle. Trigonometry's foundation is the right triangle's relationship between its sides and other angles.

We have to find the measure of third side of given right triangle.

The two sides of right triangle are 9 ft and 12 ft.

Let the side of third side is x.

By using the Pythagoras theorem,

(9)^2 + (12)^2 = x^2

       81 + 144 = x^2

             225 = x^2

                  x = 15

Hence, the third side of the right angle triangle is x = 15 ft.

To know more about right angle triangle, click on the link

https://brainly.com/question/1248322

#SPJ1

Answer: 8x²+4x-4

Step-by-step explanation:

(f+g)(x) is f(x)+g(x). Since we are given f(x) and g(x), we can directly add them together.

3x²-2x+4+5x²+6x-8                                  [combine like terms]

8x²+4x-4

The number of points of intersection: 1

The y-coordinate of the solution: 112

The x-coordinate of the solution: 8

Answer:

Option a

Step-by-step explanation:

It is made up of only rational numbers

To get the area of the shaded region, we must subtract the area of the bigger triangle on the outside and the area of the smaller triangle inside the bigger triangle.

Set up the equation:

  Area of big triangle - Area of small triangle = \(\frac{1}{2} *19*19 - \frac{1}{2} *13*13\)\(= \frac{1}{2} (19^{2} -13^{2} ) = \frac{1}{2}*192 = 96\)

So the area of the shaded region is 96.

Hope that helps!

The fraction that is equal to 0.375 is 3/8.

Hope this helps! :)

2) \(ABCD\) is a rhombus (a parallelogram with perpendicular diagonals is a rhombus)

3) \(\overline{AC}\) bisects \(\angle BCD\) (diagonals of a rhombus bisect the angles from which they are drawn)

The miles of distance flown by the satellite in 20.04hours is 112,224miles

A rate is the ratio between two related quantities in different units.

For example the satellite flies in a particular distance at a particular time. The two quantities here are distance in miles and time in hours

The satellite flies 133616 miles in 28.86hours

this means that in 1hour it will fly a distance of 133616/28.86= 5600miles

Therefore for 20.04 hours it will fly 5600× 20.04

= 112,224miles

learn more about rate from

https://brainly.com/question/25793394

#SPJ1

The earnings per share for Catena's Marketing Company at the end of the current year is $7.32 per share.

To calculate the earnings per share for Catena's Marketing Company, we need to know the total number of shares outstanding at the end of the year. The problem states that 500 additional shares were issued at the end of the year, bringing the total to 930 shares.

To calculate the earnings per share, we divide the net income by the total number of shares outstanding. Using the given information, we get:

Earnings per share = Net income / Total shares outstanding

Earnings per share = $6,808 / 930

Earnings per share = $7.32 per share

This means that for each share of common stock outstanding, the company earned $7.32 in net income during the year. It's important to note that earnings per share is a widely used metric in evaluating a company's financial performance, and is often used as a basis for determining a company's stock price.

To learn more about stock click on,

https://brainly.com/question/26489896

#SPJ4

Complete question is:

Catena's Marketing Company has the following adjusted trial balance at the end of the current year. Cash dividends of $665 were declared at the end of the year, and 500 additional shares of common stock ($0.10 par value per share) were issued at the end of the year for $3,260 in cash (for a total at the end of the year of 930 shares). These effects are included below:

CATENA’S MARKETING COMPANY

Income Statement

At the end of current year

Operating revenues:

Sales revenue $40,110

Interest revenue 114

Rent revenue 835

Total operating revenues 41,059

Operating expenses:

Wages expense 20,200

Utilities expense 408

Insurance expense 813

Rent expense 9,140

Depreciation expense 1,940

Total operating expenses 32,501

Operating Income: 8,558

Other item:

Pretax income 8,558

Income taxes payable 1,750

Net income $6,808

Earnings per share ?

Answer:

m= -1/2

Step-by-step explanation:

Answer:

514/4

Step-by-step explanation:

128 1/4

= (128×4+1)/4

= 514/4

\(\\ \sf\longmapsto 128\dfrac{1}{4}\)

\(\\ \sf\longmapsto \dfrac{128(4)+1}{4}\)

\(\\ \sf\longmapsto \dfrac{512+1}{4}\)

\(\\ \sf\longmapsto \dfrac{513}{4}\)

Answer:

57.5p

Step-by-step explanation:

$2.30 / 4 = 57.5p

Answer: a very straight forward b 2 4 and 6 c 9

Step-by-step explanation:

Answer:

The answer is 7

Step-by-step explanation:

you would divide 5 on both sides the 5t/5 would cancel out leaving

t = 35/5 which is 7.

Answer:

7

Step-by-step explanation:

5t = 35

Divide both side by 5, we get :

5t : 5 = 35 : 5
=> t = 7

Answer:

60

Step-by-step explanation: