This figure represents a step in a compass-and-straightedge construction. Identify the construction.

Answer:

b

Step-by-step explanation:

Answer:

B) (x + 1)2 + (y + 2)2 = 25

Step-by-step explanation:

Answer: 14 cm

Step-by-step explanation:

let's total length = h

white = 1/4h

remain = h - 1/4h

=3/4h

blue = 1/2 of remaining

=1/2 of 3/4h

=3/8h

remain part black = 3/4h - 3/8h

=3/8h

according to the question

3/8h = 5 1/4 cm

h = 14 cm

length of the pipe is 14 cm

Answer:

The length of the pipe is 14.

Solution,

Let the total length be X cm

[tex]x - \frac{x}{4} -{ (x - \frac{x}{4} ) \times \frac{1}{2}} = 5 \frac{1}{4} \\ x - \frac{x}{4} - \frac{x}{2} + \frac{x}{8} = \frac{21}{4} \\ \frac{8x - 2x - 4x + x}{8} = \frac{21}{4} \\ \frac{3x}{8} = \frac{21}{4} \\ 3x \times 4 = 21 \times 8 \\ 12x = 168 \\ x = \frac{168}{12} \\ x = 14[/tex]

Hope this helps..

Good luck on your assignment..

Answer: 3.5

Step-by-step explanation:

Answer:

16 hectáreas y 20 hectáreas

Step-by-step explanation:

Aquí, debemos compartir las 36 hectáreas con respecto a la proporción de sus edades.

Lo primero que debe hacer aquí es colocar su edad de lado a lado y encontrar la relación con el término más bajo.

Por lo tanto; 12:15 al término más bajo es 4: 5 Entonces debemos compartir 36 hectáreas en la proporción 4: 5

Primero, sumamos ambos y tenemos 4 + 5 = 9

Entonces; 4/9 * 36 = 16 hectáreas

5/9 * 36 = 20 hectáreas

Answer:

first one

Step-by-step explanation:

Tracey bought 10 movies

some cost 13 and the others 16

Let x be the movies that cost 13 and y ones that cost 16

we can state that

since Tracey both ten

since the total price is 139

so the system is :

[tex]\left \{ {{13x+16y=139} \atop {x+y=10}} \right.[/tex]

Answer:

He could put the first card he removed into his pocket

Step-by-step explanation:

With regards to the above, he could put the first card he removed into his pocket so that the amount of card he has to draw the second time will be affected hence make it dependent.

Take for instance, there are 52 cards in total, if he picks the first card and did not replace it, then the probability of taking second card will be 50/51 since the total cards left in the deck is now 51.

Keeping the card out of the deck can be done to ensure that the events are dependent.

Probability is a measure of the likeliness of an event to occur and it is measured between 0 to 1 , where 0 represents unlikeliness of the event and 1 represents certainty.

It is given in the question that he would have to keep the first card out of the deck before removing the second card.

Two events are dependent if the probability of one event changes based on the result of the other.

To be clear, an action on its own (like drawing a card) is not an event. An event is a possible outcome (or set of outcomes) we could observe.

Since we assume all 52 cards have an equal chance of being drawn on the first pick (that being 152), the only way to change this probability for the second pick is to keep the first card out of the deck.

This reduces the size of the deck to 51, meaning each remaining card has a 51 chance of being picked—except for the card he drew first, which now has a 0% chance of being drawn again.

Therefore keeping the card out of the deck can be done to ensure that the events are dependent.

To know more about Probability

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I think answer is A.

Hope this helps!

Brainliest would be great!

The composition of similarity transformations that map polygon ABCD and A'B'C'D are

Similar triangles may or may not have congruent side lengths.

From the question, we understand that polygon ABCD is twice the size of polygon A'B'C'D.

This means that, the side lengths of polygon ABCD must be dilated by a scale factor of 1/2

Also, the intermediate image of polygon ABCD (after dilation) must be reflected to get polygon A'B'C'D.

Hence, the composition of similarity transformations are (b) and (e)

Read more about transformation at:

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Answer:

Step-by-step explanation:

Consecutive angles cut by a common transversal are supplementary. That means that

x + 87 =180             Subtract 87 from both sides.

x+87-87=180-87

x = 93

Answer: D. 95%

Step-by-step explanation: If the difference of the scores given is 5 above and below the mean, that represents 2 standard deviations.

In normal distribution, 2 standard deviations above and below the mean represent 95% of all the inputs.

Answer:

12

25

Step-by-step explanation:

Answer:

F. cylinder

Step-by-step explanation:

A cylinder has a circle for its base, which has no vertices and is not a polygon. This, therefore, disqualifies a cylinder as a polyhedron.

Answer:

The speed of the car engine is 15.4m/s

Step-by-step explanation:

Given

Power = 2100; when Speed = 15

Required

Find Speed when Power = 2200

The question says power is proportional to square of speed;

Mathematically;

[tex]Power\ \alpha \ Speed^2[/tex]

Represent Power with P and Speed with S

[tex]P\ \alpha \ S^2[/tex]

Convert proportion to an equation

[tex]P\ = \ kS^2[/tex]

Where k is proportionality constant

Make k the subject of formula

[tex]\frac{P}{S^2} = k[/tex]

When P = 2100 and S = 15

[tex]\frac{2100}{15^2} = k[/tex]

When P = 2200 and S is unknown

[tex]\frac{2200}{S^2} = k[/tex]

Recall that [tex]\frac{2100}{15^2} = k[/tex]

So;

[tex]\frac{2200}{S^2} = k[/tex] becomes

[tex]\frac{2200}{S^2} = \frac{2100}{15^2}[/tex]

Cross Multiply

[tex]S^2 * 2100 = 2200 * 15^2[/tex]

[tex]S^2 * 2100 = 2200 * 225[/tex]

[tex]S^2 * 2100 = 495000[/tex]

Divide both sides by 2100

[tex]S^2 = \frac{495000}{2100}[/tex]

[tex]S^2 =235.714285714[/tex]

Take Square Roots of both sides

[tex]S = \sqrt{235.714285714}[/tex]

[tex]S =15.3529894716[/tex]

[tex]S = 15.4[/tex] (Approximated)

Answer:

C

Step-by-step explanation:

Answer:

When they create 3.44 products and make a revenue of $76.027, they will break even.

Step-by-step explanation:

To do this, simply graph the 2 equation in a graphing calculator and analyze the graph for where the 2 graphs intersect. Discard the negative intersection because we cannot have a negative production. You should see that your intersection point is (3.441, 76.027).

Answer:

Carlos graphed the perpendicular bisector of AB.

Step-by-step explanation:

Given a line segment AB drawn in a coordinate plane. The set of points that are the same distance from points A and B divides the line segment AB into two equal parts.

This line is referred to as the perpendicular bisector of AB.

Therefore, Carlos graphed the perpendicular bisector of AB.

Answer:

In January

she used 3/5 of what she used in February.

In February she used 2/3 litres of oil.

So it is 3/5 of 2/3 to find what amount she used in January.

3/5 × 2/3 = 6/15

If we simplify 6/15 we find 2/5 as our answer.

So our answer is 2/5 litres.

Answer:

I think the answers are 1 to 1 ,9 to 8 , 10 to7

Answer:

48.25 in^2.

Step-by-step explanation:

Surface area of the base

= 1/2 & base * height

= 1/2 * 4.3 * 5

= 10.75 in^2.

Area of each triangular side

= 1/2 * 5 * 5

= 12.5 in^2.

So total surface area

= 10.75 + 3 * 12.5

=  48.25 in^2.

Answer:

True

Step-by-step explanation:

A parallelogram is a quadrilateral with 4 sides and both pairs of opposite sides are equal.

Answer:

Hey there! The answer to your question will be below.

Step-by-step explanation:

The correct answer would be A. True

Both sides of the opposite sides are equal and has to have 4 sides so a quadrilateral is a parallogram.

A quadrilateral is a parallelogram only if both pairs of opposite sides are equal

= TRUE!

Hope this helps!

By: xBrainly

============================================================

Explanation:

The trapezoid has base lengths of b1 = 29.2 and b2 = 19. These are the parallel sides. The height is perpendicular to both parallel sides. The height is h = 12.6

Plug these values into the formula below and simplify

A = h*(b1+b2)/2

A = 12.6*(29.2+19)/2

A = 303.66

The length 14.5 is never used to find the trapezoid's area.

Answer:

k = 6

Step-by-step explanation:

Step 1: Find slope m

m = (4 - 8)/(-10 - 6)

m = -4/-16

m = 1/4

y = 1/4x + b

Step 2: Find b

4 = 1/4(-10) + b

4 = -5/2 + b

b = 13/2

Step 3: Rewrite equation

y = 1/4x + 13/2

Step 4: Find k

y = 1/4(-2) + 13/2

y = -1/2 + 13/2

y = 12/2

y = 6

Answer: 6

Step-by-step explanation:

As you move left to right on the x-coordinate, your y value is increasing. If you notice, the x values are increasing by eight at a time. So, if you take the value in between 4 and 8, you get your answer, which is 6.

Answer:

17, 2, 2

Reasoning/Work:

Answer:

b.

(a) 676,000,000

(b) 98,280,000.

Step-by-step explanation:

If no repetition the number of possible outcomes is:

26P2 * 10P6

= 650 * 151200

= 98,280,000.

If repetitions are allowed it is:

(650 + 26) * 10^6

= 676 * 1,000,000

= 676,000,000.

Answer:

D. 5x + 5

Step-by-step explanation:

(9x2 + 10x + 4) − (9x2 + 5x − 1) =

Remove the first set of parentheses since they are unnecessary.

To remove the second set of parentheses, change every sign inside.

= 9x2 + 10x + 4 − 9x2 - 5x + 1

Combine like terms.

= 5x + 5

Answer: D. 5x + 5

The simplified form of this expression (9x2 + 10x + 4) − (9x2 + 5x − 1)  is 5x+5 option (D) is correct.

Any equation of the form [tex]\rm ax^2 +bx+c= 0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

[tex]=\rm (9x^2 + 10x + 4) - (9x^2 + 5x- 1)[/tex]

[tex]=\rm 9x^2 + 10x + 4 - 9x^2 - 5x+ 1)\\\\= 5x+5[/tex]

Thus, the simplified form of this expression (9x2 + 10x + 4) − (9x2 + 5x − 1)  is 5x+5 option (D) is correct.

Learn more about quadratic equations here:

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Answer:

See below

Step-by-step explanation:

x² + 8x + 15 = 0

x² + 5x + 3x + 15 = 0

x x (x + 5) + 3x + 15 = 0

xx (x + 5) +3 (x + 5) = 0

(x + 5) × (x + 3) = 0 → x + 5 = 0       x + 3 = 0

x = -5

x + 3 = 0

x = -5

x = -3

x1 = -5

x2 = -3

Hope this helped ! :)

Answer:

(0,5)

Step-by-step explanation:

To find the y-intercept, substitute in 0 for x and solve for y.

y=x^2 + 3x + 5

y=(0)^2 + 3(0) +5

y=0+0+5

y=5

Since there is no x coordinate for a y-intercept, the answer is (0,5)

Answer:

A. (0, -5) is the right answer on edge 2021

Answer:

8,643

Step-by-step explanation:

The thousands digit is 8 so we know it is 8,000 The hundreds digit is 2 less than 8, so it's 6, giving us 8,600. The units digit is half the hundreds digit, so it is half of 6, or 3, now we have 8,603. Lastly, the tens digit is one greater than the units digit, so it is 4, leaving you with 8,643.

Answer:

3 student.

Step-by-step explanation:

From the first statement:

Let the total score be T

Let the total number of student be x

The average of the score = 72

Average = Tota score / number of student

72 = T/x

Cross multiply

T = 72x ..... (1)

Second statement:

One more student took the test and the average becomes 76 with the student having a score of 88.

Therefore,

Overall score = T + 88

Total student = x + 1

Average = 76

Average = overall score / total number of student

76 = (T + 88) /(x + 1)

Cross multiply

76(x + 1) = T + 88

Clear bracket

76x + 76 = T + 88

From equation 1

T = 72x

76x + 76 = 72x + 88

Collect like terms

76x – 72x = 88 – 76

4x = 12

Divide both side by the coefficient of x i.e 4

x = 12/4

x = 3

Therefore, the initial number of the student were 3.

Answer:

a) x+3=19

Step-by-step explanation:

a)

x is the age of Ronald , Collin is three years older than Ronald , so if we add up x(Ronald's age) and 3(the difference between both of their ages), we would get Collin's age(19) . That is the explanation for this equation.

b)

x+3=19

x=19-3

x=16

thus , x is 16 , in other words , Ronald's age is 16.

Answer:

120 flags

Step-by-step explanation:

Given that:

The flag of country Perralia has to contain three differently-colored stripes of the same width, r = 3 stripes

all of which must be positioned either vertically or horizontally =  2

If the flag of Perralia must consist of the national colors, which include green, red, yellow, black, and blue. So the number  of color n = 5 colors

The objective is to determine how many different flags can be created.

Let us recall that;the arrangement of objects taking into account the different orders or arrangement is called permutation.

The same is applicable in this scenario as well.

The number of flags that can be created can be determined by considering the permutation of :

[tex]P_r = \dfrac{n!}{(n-r)!}[/tex]

[tex]P_r = \dfrac{5!}{(5-3)!}[/tex]

[tex]P_r = \dfrac{5!}{(2)!}[/tex]

[tex]P_r = \dfrac{5 \times 4 \times 3 \times 2!}{(2)!}[/tex]

[tex]P_r = {5 \times 4 \times 3[/tex]

[tex]P_r = 60[/tex]

However, Since all of the must be positioned either vertically or horizontally =  2

Then the total number pf flags that be created = 2 × 60 = 120 flags