Which rule describes the composition of transformations that maps ?DEF to ?D''E''F''? R0,90° ? T5,0(x, y) T–5,0 ? R0,90°(x, y) T5,0 ? R0,90°(x, y) R0,90°(x, y) ? T–5,0

Answer:

  d.  1/4

Step-by-step explanation:

The ratio of adjacent terms is the common ratio:

  (3/12)/(3/3) = 3/12 = 1/4

Answer:

D is the midpoint of AC                          Given

∠BDC ≅ ∠BDA                                        Given

BD ≅ BD                                                   Reflexive Property

AD ≅ DC                                                   Definition of line segment bisector

ΔADB ≅ ΔCBD                                         CPCTC (Congruent Parts of                   Congruent Triangles are Congruent)

~

Answer:

3 seconds is correct.

Step-by-step explanation:

The object hit the ground at 3 seconds

An equation is a mathematical statement which equate two algebraic expressions. An equation has an equal to (=) sign in between the expression.

According to the problem,

The given function is h(t) = -16t2 + 144.

When the object reaches the ground h(t) becomes 0

So, the equation will be 0 =  -16t2 + 144.

Solving the equation we get t = 3 seconds

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Answer:

  B. Place the compass on the point of intersection and mark an arc through the transversal and y-axis

Step-by-step explanation:

Creating a parallel line through a point involves copying the angle a transversal makes with the given line. The copied angle has the given point as its vertex, and the transversal as one side.

Copying an angle uses the steps of ...

The step this question is referring to is the first bullet above. The given angle is the angle between the transversal and the y-axis.

Answer:

Length of side [tex]c[/tex]:

[tex]c = \rm AB \approx 115\; yds[/tex].

The distance across the canyon is approximately

[tex]\rm 113\;yds[/tex].

Step-by-step explanation:

Apply the law of sine:

[tex]\displaystyle \frac{c}{\sin{\rm A\hat{C}B} = \frac{a}{\sin{\rm B\hat{A}C}}[/tex].

In other words,

[tex]\displaystyle c = \sin{\rm B\hat{A}C} \cdot \frac{a}{\sin{\rm A\hat{C} B}}[/tex].

However, the value of the angle [tex]\rm B\hat{A}C[/tex] isn't given. Don't panic. The three interior angles of a triangle shall add up to 180°. Two of the three angles are given. The value of the third angle is implied.

[tex]\rm B\hat{A}C = 180\textdegree{} - A\hat{C}B - A\hat{B}C = 30\textdegree{}[/tex].

Apply the law of sine to find [tex]c[/tex]:

[tex]\displaystyle \begin{aligned}c &= \sin{\rm A\hat{C}B} \cdot \frac{a}{\sin{\rm B\hat{A}C}}\\ &= \sin{50\textdegree{}}\cdot \frac{\rm 75\; yds}{\sin{30\textdegree{}}}\\ &\rm = 114.907\; yds\end{aligned}[/tex].

Refer to the diagram. The distance across the canyon will be

[tex]\rm AB \cdot \sin{A\hat{B}C} = 114.907\times \sin{100\textdegree{}} \approx 113\;yds[/tex].

Answer:

She got a 87 on her chemistry test

Step-by-step explanation:

(72 + 85 + 92 + x)/4 = 84

249 + x = 336

x = 87

The opposite of squaring a number is taking the square root. They are inverse operations.

The opposite of squaring a number is taking the square root of the number. They are inverse operations.

A perfect square is a number system that can be expressed as the

square of a given number from the same system.

Perfect squares are those integers whose square root is an integer.

Let x-a be the closest perfect square less than x,

Let x-a be the closest perfect square less than x, and let x+b be the closest perfect square more than x, then we get x-a < x < x+b (no perfect square in between x-a and x+b, except possibly x itself).

Then, we get:

[tex]\sqrt{x-a} < \sqrt{x} < \sqrt{x+b}[/tex]

Thus, these are the closest integers, less than and more than the value of[tex]\sqrt{x}[/tex]. (assuming x is a non-negative value).

The opposite of squaring a number is taking the square root of the number. They are inverse operations.

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The figure is attached to show the shapes Ben could have drawn

He could have drawn  2 four angled polygon , 1 triangle and  1 pentagon , 2 triangles .

The shapes which lie on two coordinate axis and has length ,and breadth are called Two dimensional shapes.

A polygon is included in two dimensional shapes.

It is given in the question that

Ben drew 3 two-dimensional shapes that had 11 angles in all.

11 angles mean

2 quadrilaterals ( rectangle , square , rhombus etc.) and a triangle

A figure is attached  for the above stated answer .

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Answer:

$526.50

amount×discount=?

650×.25= 162.5

total-discount=?

650-162.5= 487.5

new amount×sales tax=?

487.5×.08= 39

new amount+tax=total

487.5+39= 526.5

Total=$526.50

Answer:

A

Step-by-step explanation:

Choice A is right because there is no dot above the two.

Choice B is not right because there is 2 dots above 1 and not 3.

Choice C is not right because the data doesn't go passed 5 to get to 8

Choice D is not right because it was 5 games because there is 5 dots above 3

The answer would be A. the team never scored exactly 2 goals in a single game

If you look at the number two on the dot plot you can see that there are NO dots above it. This means that the team never scored exactly 2 goals.

It can't be B. because they scored exactly 1 goal for 2 games NOT 3

It can't be C.  because no where on the graph is the number 8. They never scored 8 goals. Five is actually the highest number of goals they ever scored.

It can't be D. because they scored 3 goals in a game for 5 games not for 4 games

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

19 minutes

Step-by-step explanation:

cost = .45+.36m

If we take 6.93 minus .45 for the minute, we get 6.48. We take 6.48 and divide it by .36 for each additional minute, which is 18. We take the 18 and add one more minute to it since .45 was covered for the first minute.

The long-distance phone call that cost $6.93 was 19 minutes long. This was calculated by first deducting the cost of the first minute from the total cost, then dividing the remaining cost by the cost of each additional minute, and finally adding back the first minute.

The subject of this question is mathematics, and it involves understanding the cost structure of a long-distance phone call. So here's how we solve the problem:

Therefore, the duration of the long-distance phone call that cost $6.93 was 19 minutes.

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The salesperson selected clients 18, 43, 68, 93, 118, 143, 168, 193, 218, 243, 268, 293, 318, 343, 368, 393, 418, 443, 468, and 493 through systematic sampling from a list of 500 clients.

This is a question related to systematic sampling, which is a statistical method where elements are selected from an ordered sampling frame. In this case, the 20 clients were selected beginning with the 18th client and then continuing every 25th client.

To find the specific client numbers selected, we would follow the pattern by adding 25 to the prior number starting from 18. Keep adding until you reach 20 numbers. Let me list them for you:

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The salesperson used systematic sampling to select clients from the list. Starting with the 18th client, the salesperson then selected every 25th client thereafter. The client numbers selected were 18, 43, 68, 93, 118, 143, 168, 193, 218, 243, 268, 293, 318, 343, 368, 393, 418, 443, 468, and 493.

In this scenario, the salesperson obtained a systematic sample by first selecting the 18th client and then every 25th client thereafter from a list of 500 clients. This method of sampling is called systematic sampling. It's a type of sampling where we select items from an ordered population using a fixed, periodic interval after a random start. So, the numbers of the clients selected would be: 18, 43, 68, 93, 118, 143, 168, 193, 218, 243, 268, 293, 318, 343, 368, 393, 418, 443, 468, and 493.

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Answer:

[tex]\boxed{3)}[/tex]

Step-by-step explanation:

A difference of squares has the form (a - b)(a + b)

Your expression is (-5x - 3)(-5x + ?

Let's compare this with your expression.

[tex]\begin{array}{cclccl}(a & - & b) & (a & + & b)\\\downarrow & & \downarrow & \downarrow & & \downarrow \\(-5x & - & 3) & (-5x & + & \mathbf{3)} \\\end{array}\\\\\text{The missing term is }\boxed{\mathbf{3)}}[/tex]

Answer:

D.

Step-by-step explanation:

The area formula for a circle is [tex]A=\pi r^2[/tex].

If the diameter is given, we take half of it to find the radius measure.  If d = 6, then r = 3.  Therefore, our formula can be filled in as

[tex]A=\pi (3)^2[/tex] or [tex]A=9\pi[/tex].  That is the exact area.  The approximate area is found by multiplying in 3.1415 as pi to give you that the area is approximately 28.27 square inches.  I think you meant to put pi in those answer choices instead of an underscore, so it's my belief that D. is supposed to reflect the answer of [tex]9\pi[/tex] square inches.  I'm going with D.

Answer:

Explanation:

In geometry, undefined terms refer to three entities: points, lines, and planes. They are considered undefined because they are rather described than formally defined.

The reason behind this lack of definition is that they are abstractions: you cannot touch or see a real point, line or plane.

A point represents a position in the plane or the space, and it is dimensionless. Yet it is used to define a line and a plane.

Among those three terms, only line and plane meet the feature of not having begin or end. That is so because lines  and planes extend infinetly

LInes extend in two directions, in one dimension: for example, from left to right, or from east to west, or vertically.

Planes extend infinetly in two dimensions: they are flat infinite surfaces.

Answer:

C.) y = - 8

Step-by-step explanation:

If the line has a slope of 0, it is a horizontal line.  That means y= a value

Since we have the point (0,-8)

y = -8

Final answer:

The equation of a line that goes through point (0, -8) with a slope of 0 is y = -8.(Option c)

Explanation:

We need to find the equation of a line that goes through the point (0, -8) and has a slope of 0. The general equation for a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Since the slope (m) is 0, the line is horizontal.

A horizontal line has an equation of the form y = b, where b is the y-coordinate of every point on the line. As the line goes through (0, -8), we can see that the y-coordinate is -8 for all points on this line. Therefore, the equation of this line is C) y = -8.

Answer:

center (1,-3) and radius is 5

Step-by-step explanation:

We have to use completing the square here:

x^2-2x    + y^2+6y         =15  (reorder some things and added 15 on both sides)

x^2-2x+(-2/2)^2  + y^2+6y+(6/2)^2   =15+(-2/2)^2+(6/2)^2 (whatever you add on one side you also do to the other side)

x^2-2x+(-1)^2   + y^2+6y+(3)^2=15+1+9

(x-1)^2         +    (y+3)^2          =25

Center is (1,-3) and radius is 5

ANSWER

The center is (1,-3) and the radius is r=5 units.

EXPLANATION

The given equation is:

[tex] {x}^{2} + {y}^{2} - 2x + 6y - 15 = 0[/tex]

Let rearrange to get:

[tex]{x}^{2} - 2x + {y}^{2} + 6y=15[/tex]

We complete the square to get;

[tex]{x}^{2} - 2x + ( { - 1)}^{2} + {y}^{2} + 6y + {3}^{2} = 15+ ( { - 1)}^{2} + {3}^{2}[/tex]

[tex] ( {x - 1)}^{2} +( {y + 3)}^{2} = 15 + 1+ 9[/tex]

[tex] ( {x - 1)}^{2} +( {y + 3)}^{2} =25[/tex]

[tex]( {x - 1)}^{2} +( {y + 3)}^{2} = {5}^{2} [/tex]

Comparing to

[tex]( {x - h)}^{2} +( {y - h)}^{2} = {r}^{2} [/tex]

The center is (1,-3) and the radius is r=5 units.

Answer:

  22 quarters

Step-by-step explanation:

Let q represent the number of quarters in the bank. Then 60-q is the number of nickels, and the total value of the coins is ...

  0.25q + 0.05(60 -q) = 7.40

  0.20q + 3.00 = 7.40 . . . . . . . . simplify

  0.20q = 4.40 . . . . . . . . . . . . . . subtract 3.00

  q = 4.40/0.20 = 22 . . . . . . . . . divide by the coefficient of q

There are 22 quarters in the piggy bank.

_____

Check

The other 60-22 = 38 coins are nickels, so the total value is ...

  0.25×22 + 0.05×38 = 5.50 + 1.90 = 7.40 . . . . . . the required amount

Step-by-step answer:

Here's a different way to solve the problem, mentally.

Mixture of 60 coins composed of nickels (5 cents) and quarters (25 cents).

Total value = 7.40.

IF all coins were quarters, value would be 60*0.25 = $15

That makes too many quarters.

To conform to the value of $7.40, we need to reduce the mix by $15-7.40 = 7.60.

Each exchange of quarters and nickels reduces the value by $0.25-0.05=0.20.

It takes 7.60 / 0.20 = 38 exchanges.

So there are 38 nickels and 22 quarters.

Answer:

hola puto

Step-by-step explanation:

bggyyhh yyesws kihtwrqas bts23e4gyhun

Answer:

  12(m -5) = 540

Step-by-step explanation:

The left side of the equation is in the form of a product. A suitable product is ...

  (calories/minute) × (minutes jogging) = (calories burned)

If m represent Anzelm's total minutes, then m-5 will represent the number of minutes actually jogging. This is what goes inside parentheses, so we have ...

  (12 calories per minute) × ((m -5) minutes) = 540 calories

Leaving off the units, which we know are consistent, we have ...

  12 (m -5) = 540

Answer:

12(m-5) = 540

Step-by-step explanation:

∵ The total calories have to burn = 540,

Also, here m represents the total time spent by Anzelm,

If he/she spent 5 minutes in rest,

Then the time he/she spent in jogging = (m - 5) minutes,

If the number of calories burnt in one minute = 12,

So, the number of calories burnt in (m-5) minutes = 12(m-5),

Therefore, for burning the whole calories,

Calories burnt by him/her = total calories

⇒ 12(m-5) = 540

Which is the required equation.

Answer:

  Line y = –x + 4 intersects the line y = 3x + 3

Step-by-step explanation:

The solution is described as the point of intersection of the two lines. The description above is the only one that says anything about that.

___

Comments on other answer choices

Any line with finite non-zero slope intersects both the x- and y-axes. That fact does not describe the solution to a system of equations.

Any linear equation with an added (non-zero) constant will not intersect the origin. These two equations have +4 and +3 added, so neither line intersects the origin.

Answer:

15:20

Step-by-step explanation:

15:20 = 15/20 = .75 = 75%

Answer:

The total number of points you score is dependent variable Because it change when x is change.

The number of question you answer correctly is independent variable Because it can change itself when you got more correct answers.

Answer:

The measure of arc DEF is 204° ⇒ answer C

Step-by-step explanation:

* Lets talk about some facts in the circle

- If the vertex of an angle on the circle and the two sides of the

 angle are chords in the circle, then this angle is called  

 an inscribed angle

- Each inscribed angle subtended by the opposite arc, the arc name

 is the starting point and the ending point of the angle

- The measure of any circle is 360°

# Ex: ∠CAB is inscribed angle subtended by arc CB

- There is a relation between the inscribed angle and its  

  subtended arc, the measure of the inscribed angle equals half

  the measure of its subtended arc

* Now lets solve the problem

- ∠DEF is an inscribed angle subtended by arc DF

∴ m∠DEF = (1/2) measure of arc DF

∵ The measure of ∠DEF = 78°

∴ 78° = (1/2) measure of arc DF ⇒ multiply both sides by 2

∴ The measure of arc DF = 78° × 2 = 156°

∵ The measure of arc DF + The measure of arc DEF = The measure of

   the circle

∵ The measure of the circle = 360°

∵ The measure of the arc DF = 156°

∴ 156° + measure of arc DEF = 360° ⇒ subtract 156 from both sides

∴ The measure of arc DEF = 360° - 156° = 204°

* The measure of arc DEF is 204°

Answer: OPTION C.

Step-by-step explanation:

By definition:

[tex]Inscribed\ Angle = \frac{1}{2} Intercepted\ Arc[/tex]

Then we can calculate the measure of DF. This is:

[tex]78\°=\frac{1}{2}DF\\\\DF=(2)(78\°)\\\\DF=156\°[/tex]

We know that there are 360 degrees in a circle, therefore, in order to find the measure of DEF, we need to make the following subtraction:

[tex]DE[/tex][tex]F[/tex][tex]=360\°-156\°[/tex]

[tex]DE[/tex][tex]F[/tex][tex]=204\°[/tex]

 You can observe that this matches with the option C.

Answer:

Step-by-step explanation:

With the way it is written, there are no values of x that make the equation true.

Answer:

6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since you have studied transformations, you are familiar with the effect of different modifications of the parent function:

Note that in the given list of transformed functions, there is one that is (x+1)². This is equivalent to both f(x+2) and to f(-x). The latter is a little harder to see, until we realize that (-x-1)² = (x+1)². That is, this transformed function can be considered to be either a translation of (x-1)² left by 2 units, or a reflection over the y-axis.

Answer:

  TUW ~ UTV, TWV ~ UVW

Step-by-step explanation:

An isosceles trapezoid is symmetrical about the perpendicular bisector of its bases. A triangle formed by deleting a vertex on one side of that line of symmetry will be similar to the corresponding triangle formed by deleting the symmetrically opposite vertex on the other side. The two pairs listed above are the possibilities.

[tex]\mathsf{Given :\;\;\dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{\sqrt[3]{64x^3y^3}}}[/tex]

[tex]\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{\sqrt[3]{4^3x^3y^3}}}[/tex]

[tex]\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{\sqrt[3]{(4xy)^3}}}[/tex]

[tex]\bigstar\;\;\textsf{We know that : \boxed{\mathsf{\sqrt[n]{a} = a^{\dfrac{1}{n}}}}}[/tex]

[tex]\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{{(4xy)^{\dfrac{3}{3}}}}}[/tex]

[tex]\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{{4xy}}}[/tex]

[tex]\mathsf{\implies \left(\dfrac{5}{4}\right) \left(\dfrac{x^{\dfrac{-3}{2}}}{{x}}\right)\left(\dfrac{y^{-2}}{y}\right)}[/tex]

[tex]\bigstar\;\;\textsf{We know that : \boxed{\dfrac{a^m}{a^n} = a^{m - n}}}}[/tex]

[tex]\mathsf{\implies \left(\dfrac{5}{4}\right) x^{\left(\dfrac{-3}{2} - 1\right)}}y^{(-2 - 1)}}[/tex]

[tex]\mathsf{\implies \left(\dfrac{5}{4}\right) x^{\left(\dfrac{-3 - 2}{2}\right)}}y^{-3}}[/tex]

[tex]\mathsf{\implies \left(\dfrac{5}{4}\right) x^{\left(\dfrac{-5}{2}\right)}}y^{-3}}[/tex]

[tex]\textsf{Comparing the above with $\mathbf{ax^by^c}$, We can notice that :}[/tex]

[tex]\bigstar\;\;\mathsf{a = \dfrac{5}{4}}[/tex]

[tex]\bigstar\;\;\mathsf{b = \dfrac{-5}{2}}[/tex]

[tex]\bigstar\;\;\mathsf{c = -3}[/tex]

[tex]\implies \mathsf{Product\;of\;a,\;b\;and\;c = \left(\dfrac{5}{4}\times \dfrac{-5}{2} \times -3\right)}[/tex]

[tex]\implies \mathsf{Product\;of\;a,\;b\;and\;c = \dfrac{75}{8}}[/tex]