Pqr is a right angle. If pq=8 what is equivalent

Assembly Line A will produce 24975 units during the same time that Line B produces 555 units.

Let's assume that the time it takes for Assembly Line A to produce 45 units is equal to the time it takes for Assembly Line B to produce 37 units. This means that the time it takes for Line A to produce 1 unit is equal to the time it takes for Line B to produce 1 unit.

Now, we can set up a proportion to find how many units Line A will produce during the same time that Line B produces 555 units:

45 units / 1 unit = x units / 555 units

Cross-multiplying, we get:

45 * 555 = x units * 1

x units = 24975 units

Therefore, Line A will produce 24975 units during the same time that Line B produces 555 units.

Answer:

[tex]y=0.05x[/tex]

Step-by-step explanation:

Given :

x                    Cost, y  

150               $7.50  

220              $11.00

250              $12.50  

275              $13.75

To Find: If the cost varies directly with the number of minutes Jalen talks on the phone, which equation represents the variation?

Solution:

To find equation we will use two point slope form.

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex](x_1,y_1)=(150,7.50)[/tex]

[tex](x_2,y_2)=(220,11.00)[/tex]

Substitute the values in the formula.

[tex]y-7.50=\frac{11-7.5}{220-150}(x-150)[/tex]

[tex]y-7.50=0.05(x-150)[/tex]

[tex]y-7.50=0.05x-7.50[/tex]

[tex]y=0.05x[/tex]

Hence the equation which represents the variation is   [tex]y=0.05x[/tex]

Answer:

B. {-4,3,5,8}

Step-by-step explanation:

We are given,

The set representing the function is {(-1,5),(2,8),(5,3),(13,-4)}.

It is required to find the range set of the function.

Now, as we know,

In the ordered pair [tex](x,y)[/tex], the y co-ordinate 'y' represents the range values of a function.

So, we see that,

The range values of the given function are 5, 8, 3 and -4.

Thus, the set representing the range of the function is {-4,3,5,8}.

Answer:

The answer is 2788 miles.

Step-by-step explanation:

The distance between New York City, New York and Los Angeles, California is approximately 4485 kilometers.

The given conversion rate is:

1 mile = 1.609 kilometers

or 1.609 km = 1 mile.

So, 1 km = [tex]\frac{1}{1.609}[/tex] miles

And 4485 km = [tex]\frac{1}{1.609}*4485[/tex] miles

= 2787.45 miles.

In nearest miles we can round this to 2788 miles.

Answer:

B. [tex]61^{\circ}[/tex]

Step-by-step explanation:

We have been given an image of a quadrilateral. We are asked to find the measure of angle D.

We can see that angle A and angle D are equal, so we can represent measure of both angles as [tex]2D[/tex].

We know that all the interior angles of a quadrilateral are equal to 360 degrees, so we can set an equation as:

[tex]2D+98^{\circ}+140^{\circ}=360^{\circ}[/tex]

[tex]2D+238^{\circ}=360^{\circ}[/tex]

[tex]2D+238^{\circ}-238^{\circ}=360^{\circ}-238^{\circ}[/tex]

[tex]2D=122^{\circ}[/tex]

[tex]\frac{2D}{2}=\frac{122^{\circ}}{2}[/tex]

[tex]D=61^{\circ}[/tex]

Therefore, the measure of angle D is 61 degrees and option B is the correct choice.

Final answer:

The area of Greenland in scientific notation is 8.4 x 10⁵ square miles.

Explanation:

The area of Greenland is 840,000 square miles. Writing this number in scientific notation involves expressing it as the product of a number between 1 and 10 and a power of 10.

To convert 840,000 to scientific notation, first identify the coefficient that is between 1 and 10. In this case, it is 8.4. Next, count how many places you move the decimal point to get from 840,000 to 8.4. You move the decimal five places to the left, so the exponent for 10 will be 5. Thus, the scientific notation for 840,000 is 8.4 × 10⁵.

To construct an angle with a side on line l that is congruent to ∠ABC, follow these steps: Draw line l, measure ∠ABC, draw a ray from line l with the same angle, label the intersection point as B, and segment AB is congruent to side AC.

To construct an angle with a side on line l that is congruent to ∠ABC, you can follow these steps:

Draw line l.

Use a protractor to measure ∠ABC.

Draw a ray from line l, starting at point A and making the same angle as ∠ABC.

Label the point where the ray intersects line l as B.

Now, segment AB is congruent to side AC of ∠ABC.

Answer:

option: D is the correct answer.

( D. 64=0.025 x+7 )

Step-by-step explanation:

We are given step as:

[tex]P=17-\sqrt{0.025x+7}\\\\25=17-\sqrt{0.025x+7}\\\\8=-\sqrt{0.025x+7}------(1)[/tex]

?

57=0.025x

-----------(2)

2280= x.

We are asked to find the missing step.

Clearly after equation (1)

They have squared the equation both side to obtain:

[tex]64=0.025x+7[/tex]

and then they took the constant term to the left hand side to obtain equation (2).

[tex]64-7=0.025x\\\\57=0.025x[/tex]

Hence, the correct option is:

Option: D

D. 64=0.025 x+7

Answer: 64=0.025x+7

Step-by-step explanation:

a p e x

Answer:

A

Step-by-step explanation:

Answer:

D) translation, then reflection

Step-by-step explanation:

First the triangle 1 is translated in the right side to make triangle 2. Then the 2 triangle is reflected over to get triangle 3.

So, the correct answer is - translation, then reflection

In reflection transformation, the figure is reflected or flipped on a line called the axis of reflection or line of reflection. And translation means moving or shifting of a figure.

Answer:

The museum is 4 blocks east and 10 blocks south from her hotel.

Step-by-step explanation:

It is given that ruby is visiting San Francisco. From her hotel she walks:

(a) 1 block west and 4 blocks south to a coffee shop.

(b) Then she walks 5 blocks east and 6 blocks south to a museum.

First she moves 1 block west and 4 blocks south and reached at point B. After that she walks 5 blocks east and 6 blocks south and reached at point D.

From the below figure it is noticed that point D is 4 blocks east and 10 blocks south from the origin because

[tex]South=4+6=10[/tex]

[tex]East=5-1=4[/tex]

Therefore the museum is 4 blocks east and 10 blocks south from her hotel.

1st equation: x +y =5

 2nd equation: x = y +7

replace x in 1st with 2nd

y +7 +y =5

2y+7 =5

2y =-2

y = -1

now replace y in 2nd with -1

x = -1 +7

x = 6

answer:

x = 6

y = -1

for example--

         If -2  ≤x <-1 then value of function is -2

        If   -1 ≤x < 0 then value of function is -1

        If   0 ≤x < 1 then value of function is 0

        If   1 ≤x < 2 then value of function is 1

and so on.

for example--

         If -2  < x ≤ -1 then value of function is -1

        If   -1 < x ≤ 0 then value of function is 0

        If   0 < x ≤ 1 then value of function is 1

        If   1 < x ≤ 2 then value of function is 2

and so on.

Answer: The equation of the circle is [tex]x^2+y^2=r^2.[/tex]

Step-by-step explanation: We are given to write the equation of a circle centered at the origin.

We know that the standard equation of a circle with center at the point (g, h) and radius 'r' units is given by

[tex](x-g)^2+(y-h)^2=r^2~~~~~~~~~~~~~~~~~~~~(i)[/tex]

The co-ordinates of the origin are (0, 0).

So, if the center of the circle is at the origin, then we have  

(g, h) = (0, 0).

Therefore, from equation (i), we have

[tex](x-0)^2+(y-0)^2=r^2\\\\\Rightarrow x^2+y^2=r^2.[/tex]

Thus, the required equation of the circle is [tex]x^2+y^2=r^2.[/tex]

Answer:

The value of [tex]m\angle 3-m\angle 1[/tex] = [tex]50^{\circ}[/tex]

Step-by-step explanation:

Vertical Angle theorem: It is about the angles that are opposite to each other.

Also, vertical angle are congruent that means vertical angles are equal.

In the given figure; [tex]m\angle 3[/tex] and [tex]70^{\circ}[/tex] are vertical angle

then, by vertical angle theorem,  [tex]m\angle3 =70^{\circ}[/tex].

Supplementary angle: the sum of the angles whose measure on the straight line is 180 degree.

From the figure, [tex]70^{\circ}[/tex] , [tex]\angle 1[/tex] and [tex]m\angle 2 =90^{\circ}[/tex] forms a straight line.

then, by the definition of Supplementary angle;

[tex]70^{\circ}+m\angle 1 +m\angle 2=180^{\circ}[/tex]

Substituting the value of  [tex]m\angle 2 =90^{\circ}[/tex] in above equation:

[tex]70^{\circ}+m\angle 1 + 90^{\circ} =180^{\circ}[/tex] or

[tex]160^{\circ}+m\angle 1=180^{\circ}[/tex]

Simplify:

[tex]m\angle 1=180^{\circ}-160^{\circ} =20^{\circ}[/tex]

therefore,  [tex]m\angle 1= 20^{\circ}[/tex] and [tex]m\angle 3=70^{\circ}[/tex],

the value of [tex]m\angle3-m\angle1= 70^{\circ}-20^{\circ} =50^{\circ}[/tex].

The scale ratio is the ratio of the length of one side of a polygon with the length of a corresponding side of a similar polygon.

The ratio you're referring to is called the scale factor. The scale factor is the ratio of the length of one side of a polygon to the length of the corresponding side of a similar polygon. Let's denote this scale factor as ( k ).

To calculate the scale factor, you need to choose corresponding sides from the two similar polygons. Once you've chosen a pair of corresponding sides, divide the length of one side by the length of the corresponding side from the other polygon.

Let's say we have two similar polygons, Polygon A and Polygon B, and we want to find the scale factor between them. Let's denote the length of a side of Polygon A as [tex]\( L_A \)[/tex] and the length of the corresponding side of Polygon B as [tex]\( L_B \)[/tex]. Then, the scale factor, ( k ), is given by:

[tex]\[ k = \frac{L_A}{L_B} \][/tex]

This ratio will give you the scale factor between the two polygons.

Answer:

The 2009 world-record pumpkin weighs 1720 kilograms more than an average-sized pumpkin.

Step-by-step explanation:

In 2009, the world's largest pumpkin weighed 1,725 kilograms.

An average-sized pumpkin weighs 5,000 grams.

As the answer is needed in kilograms, we will convert 5000 grams in kilograms.

1 gram = 0.001 kilogram

So, 5000 grams = [tex]5000\times0.001[/tex] =5 kilograms.

Difference between weigh = [tex]1725-5=1720[/tex] kilograms

So, the 2009 world-record pumpkin weighs 1720 kilograms more than an average-sized pumpkin.