The point A,B,C and D represent the complex number Z1,Z2,Z3 and Z4 and O is the origin. If OABC is a parallelogram, and Z1=1+3i and Z2=4+5i, find Z3

Answer:

9 books

Explanation:

Number of animal books = 43

Number of art books = 29

So, total number of books

= Number of animal books + Number of art books

= 43 + 29

= 72

Number of books in each shelf, if divided equally

= Total number of books/Number of shelfs

= 72/8

= 9

So, each shelf has 9 books in it.

Answer:

y= -2x+6

Step-by-step explanation:

General formula :

y=mx+c

m is the gradient

when finding when finding the perpendicular line of another line is will be the negative inverse of the gradient

The perpendicular line will have a gradient of -2 (the negative inverse of 1/2)

so

the line perpendicular to the equation y=1/2x+6

is y= -2x+6

Answer:

A = 49/pi

Step-by-step explanation:

C = 2 * pi *r

14 = 2 * pi *r

Divide each side by 2 pi

14/2pi = r

7/pi = r

The area is given by

A = pi r^2

A = pi ( 7/ pi)^2

A  = pi * 49 / pi^2

A = 49/pi

Answer:

[tex]area = {15.61m}^{2} [/tex]

explanation is attached to the picture

Hope this helps you

The two liquids will have the same temperature at 10 units of time after the start of both processes.

Given: Graph showing changes of temperature of liquid A when it is heated and liquid B when it is cooled

To find: The time when the two liquids have the same temperature

The given graph is plotted such that 'P' representing the temperature of the liquid is taken on y-axis and 'x' representing the time is taken on x-axis.

The graphs of temperature change with respect to time, of both liquids A and B are plotted in the same answer space and it is implied that both processes (heating of liquid A and cooling of liquid B) occurs simultaneously.

The time when both liquids have the same temperature is represented by graphs of both liquids having the same 'P' value at the same 'x' value. In other words, it is represented by a point in the answer space at which the graphs of temperature of both liquids intersect.

As can be seen from the given figure, the graphs of temperature change of liquid A and B intersect at the point (10, 30), that is at 'x = 10'.

Since 'x' represents the time, this implies that the two liquids will have the same temperature at 10 units of time after the start of the experiment (x = 0).

Learn more about graphical analysis here:

https://brainly.com/question/21623345

Answer:

- 14x²y

Step-by-step explanation:

Given

- 7x² × 2y

= - 7 × 2 × x² × y

= - 14x²y

Ratio of apples to strawberries in Angie's salad

= 4:5

= 36:45 (because we multiplied both numerator and denominator by 9, to get the same denominator as the other ratio)

Ratio of apples to strawberries in Salim's salad

= 7:9

= 35:45 (because we multiplied both numerator and denominator by 5, to get the same denominator as the other ratio)

36:45 ≠ 35:45

So, ratio of apples to strawberries in Angie's salad ≠ ratio of apples to strawberries in Salim's salad.

36:45 > 35:45

So, ratio of apples to strawberries in Angie's salad < ratio of apples to strawberries in Salim's salad.

Answer:

Angie used a greater ratio of apples to strawberries because if you divide the apples by strawberries you will find how much apples they put in if they put one strawberry.

Angie’s ratio: 4:5

0.8:1

Salim’s ratio: 7:9 0.77777777:1

Hope it helps

Answer:

Kandace spent 2700 seconds in front of the mirror

Step-by-step explanation:

3/4 × 60 = 45

She spent 45 minutes on her makeup

If 60 seconds are in a minute,to find how many seconds are in 45 minutes we simply multiply 45 by 60

= 2700

Answer:

2nd answer

Step-by-step explanation:

4x^3+2

4*(-1)^3+2

4*(-1)+2

-4+2

-2

Answer: -2

Step-by-step explanation:

Replacing x for -1 would make the equation [tex]4(-1^3)+2[/tex]. Knowing PEMDAS, we know that the parentheses goes first. [tex]-1^3[/tex] means that we need to multiply -1 by itself 3 times ([tex]-1*-1*-1[/tex],  * equals "times"). [tex]-1*-1=1[/tex] so [tex]1*-1=-1[/tex]. Now our equation is [tex]4(-1)+2[/tex].    [tex]4*-1=-1[/tex] and -4 + 2 = -2. Hope this explanation helps :)

Answer:

Where is the picture of the triangle?

Answer:

got it

Step-by-step explanation:

The following are the statement justifications and explanatory reasons ;

(a) AD + DB = AB; Is justified by segment addition postulate

Reason

Segment addition postulate states that let A and B represent two points,

Then a third D can be on the line joining A and B, if and only if the

relationship between the points is according to the equation, AD + DB = AB

only

(b) m∠1 + m∠2 = m∠CDB; Is justified by angle addition postulate

Reason

Angle addition postulate states that given that a point B lies between an angle m∠AOC, then we have;

m∠AOC = m∠AOB + m∠BOC

(c) ∠2 ≅ ∠6; Is justified by vertically opposite angles theorem

Reason

Vertical angles formed by the crossing of two lines are always equal

(d) If D is the midpoint of [tex]\overline{AB}[/tex], then AD = [tex]\dfrac{1}{2}[/tex]×AB; Definition of midpoint

Reason

The midpoint of a line is the point that is of equal distance from both ends of the of the line. It is the point halfway between the endpoints

(e) If [tex]\underset{DF}{\rightarrow}[/tex] bisects ∠CDB then ∠1 ≅ ∠2; Definition of angle bisector

Reason

An angle bisector is a ray or line that divides an angle into two angles that are congruent

(f) m∠ADF + m∠FDB = 180°; Linear pair postulate

Reason

The linear pair postulate states that where we have two angles that form a linear pear (their addition forms a straight line), then the two angles are supplementary  (their sum is 180°)

(g) ∠ADF and ∠4 are supplements, then m∠ADF + m∠4 = 180°; Definition of supplementary angle

Reason

Supplementary angle are defined as angles that when added together, have a sum of 180°

(h) If ∠4 is complementary to ∠5, and ∠6 is complementary to ∠5, then ∠4 ≅ ∠6; Transitive property

Reason

Transitive property states that given three real numbers, a, b, and c, if a = b and c = b, then a = c

Learn more about angle properties postulates, and theorems here;

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Answer:

By proportion :-

x/2.8 = 3/2.4

x = 3(2.8)/ 2.4

x= 3.5

Answer: C) 3.5

《OAmalOHopeO》

Answer:f ( x ) − 1 = √ x + 2

Step-by-step explanation:

Answer:

f(x^2) = x^2 - x^4

Step-by-step explanation:

f(x) = x − x^2,

f(x^2) = (x^2) - (x^2)^2,                    2 to the power of 2 equals 4

f(x^2) = x^2 - x^4

[tex]\\ \sf\longmapsto x+2x+90=180[/tex]

[tex]\\ \sf\longmapsto 3x+90=180[/tex]

[tex]\\ \sf\longmapsto 3x=180-90[/tex]

[tex]\\ \sf\longmapsto 3x=90[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{90}{3}[/tex]

[tex]\\ \sf\longmapsto x=30[/tex]

Now

[tex]\\ \sf\longmapsto x=2y[/tex](Opposite interior angles)

[tex]\\ \sf\longmapsto 2y=30[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{30}{2}[/tex]

[tex]\\ \sf\longmapsto y=15[/tex]

And

[tex]\\ \sf\longmapsto x+z=180[/tex]

[tex]\\ \sf\longmapsto z+30=180[/tex]

[tex]\\ \sf\longmapsto z=180-30[/tex]

[tex]\\ \sf\longmapsto z=150[/tex]

Answer:

Straight angle is 180°:

Alternate interior angles are congruent:

Consecutive interior angles are supplementary:

Alternate interior angles:

Sum of interior angles of a triangle:

Answer:

2500 grams

Step-by-step explanation:

1kg=1000g

2.5kg=1000×2.5

=2500

Answer:

2500 g

Step-by-step explanation:

1 kg=1000 g

2.5kg=2.5×1000 g

so that 2.5kg = 2500 g

First use the

Pythagorean theorem to find the hypotenuse h of the right triangle.

h = √(62 + 82)

= √(36 + 64)

= 10

Answer:

D. 5

Step-by-step explanation:

You can use proportions to solve this.

36/45=20/5x

Cross multiply the 5x and 36 as well as the 45 and 20

180x=900

Then, divide the 900 by 180

5

Answer:

x=5

Step-by-step explanation:

We can use ratios to solve

CB        CD

------ = -----------

CA          CE

5x       20

----  = --------

45       36

Using cross products

5x * 36 = 45* 20

180x = 900

Divide by 180

x = 900/180

x =5

Answer:

x = -1

Step-by-step explanation:

Let the mystery number be x

Equation:

60 - 4x = 8x + 72

Subtract 60 from both sides

-4x = 8x + 12

Subtract 8x from both sides

-12x = 12

x = -1

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

"The sum of two numbers is 17" <- that's our first equation. Sum means we're going to add. "two numbers" - well, we don't know what they are, so we can use x and y. (Note: x and y are just placeholders. You can use ANY placeholder as long as you keep it consistent with the second equations. x and y just mean "some number". We're going to work to find those numbers)

So for our first equation, we have two numbers being added together. So we can just write that as:

x+ y = 17

For the second equation:

"Three times one number increased by 5 is the same as twice the other number decreased by 4"

We have to work to process what is being asked. “Three times one number increased by 5”. So we know we are multiplying 3 to one of our numbers and increasing it (adding it) by 5.

So this part can be written as 3x+5

“Is the same as” just means “equal to” 

“Twice the other number decreased by 4”. So twice, means two times and “decreased by four” just tells us to subtract four.  So this part can be written as:

2y-4

Now we need to put this second equation together.

3x+5=2y-4.

So now we have our two equations:

x+y = 17

3x+5 = 2y-4

We have a few ways of solving this. We can use substitution, elimination, or graphing. I’m going to use substitution for this one.

So for substitution, we need to take one of two equations and solve for a single variable. So I’m going to take our first equation and solve for y.

x+y=17

-x.   -x

y= -x+17

Now I’m going to put “-x+17” in for the “y” in the second equations.

3x+5=2y-4

3x+5 = 2 (-x+17) - 4.  (Now distribute)

3x+5 = -2x + 34 - 4. (Now simplify)

3x+5 = - 2x + 30. (Now we need to get the x to one side)

+2x +2x

5x+5=30

 -5.  -5

5x = 25

X = 5

Now we can take the first equation and put 5 in for x to solve for y

x+y = 17

5 + y = 17

-5    -5

y= -12

So our x is 5 and our y is 12. 

Answer:

8(15) / 8(-3)

We could go ahead and solve, but we can also cancel out the 8 from the numerator and denominator.

So we are left with: 15/-3.

And that simplifies to -5.

Let me know if this helps!

The simplification of 8(15) divided by 8(-3) gives -5.

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

We have to Simplify 8(15) divided by 8(-3)

8(15) / 8(-3)

We could go ahead and solve, but we can cancel out the 8 from the numerator and denominator.

8(15) / 8(-3) = (15) / (-3)

So we are left with 15/-3.

And that simplifies to gives-5.

Hence, the simplification of 8(15) divided by 8(-3) gives -5.

Learn more about simplification;

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#SPJ2

We know that our bag has n white tiles and 5 black tiles.

So, the total number of tiles in the bag is n + 5.

We know that a tile is drawn at random and is replaced, then a second tile is drawn.

a) We want to find the probability that the first tile is white.

Because all the tiles have the same probability of being randomly drawn, the probability of drawing a white tile is just the quotient between the number of white tiles and the total number of tiles in the bag.

[tex]P = n/(n + 5)[/tex]

And for the second draw, we do not have any restrictions, so the probability is the above one.

[tex]P = n/(n + 5)[/tex]

b) Now we want both tiles to be white.

For the first one we already know the probability, which is:

[tex]P = n/(n + 5)[/tex]

And because the tile is replaced, the probability of drawing a white tile again is exactly the same:

[tex]Q =n/(n + 5)[/tex]

The joint probability (the probability of both of these outcomes to happen together) is the product of the individual probabilities.

Probability = [tex]P*Q = (n/(n + 5))^2[/tex]

If you want to read more about probability, you can read:

https://brainly.com/question/24256398

Answer:

-10

Step-by-step explanation:

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result. Therefore, the value of x is -10.

Answer:

Here,

length = 8m

height = 4m

4s = 15 per m^2

Now,

300 per meter = 300 * 15 per m^2

= 4500 per m^2

9514 1404 393

Answer:

  (a)  42.3°

Step-by-step explanation:

Side 'a' is the shortest of three unequal sides, so angle A will be the smallest angle in the triangle. Its measure can be found from the Law of Cosines.

  a² = b² +c² -2bc·cos(A)

  cos(A) = (b² +c² -a²)/(2bc) = (21² +25² -17²)/(2·21·25) = 777/1050

  A = arccos(777/1050) ≈ 42.3°

The measure of angle A is about 42.3°.

_____

Additional comment

The smallest angle in a triangle can never be greater than 60°. This lets you eliminate choices that exceed that value.

Answer:

 (a)  42.3°

Step-by-step explanation:

Answer:

44 degrees

Step-by-step explanation:

The sum of the angles of a triangle is 180

68+68+x = 180

136+x = 180

x = 180-136

x = 44

Answer:

44 degrees

Brainliest, please!

Step-by-step explanation:

The sum of the angles in a triangle is always 180 degrees.

68 + 68 = 136

180 - 136 = 44

Answer:

123

Step-by-step explanation:

Large rectangle:

8 - 3 = 5

5 × 4 × 3 = 20 × 3 = 60

Smaller rectangle:

3 × 3 × 7 = 9 × 7 = 63

Both:

63 + 60 = 123

Hope this helped.

Answer:

It is 36

Step-by-step explanation:

minus × minus equals + so its 36

Answer:

36

Step-by-step explanation:

(-4) is -4

then

(-9) then 36

Answer:

the total ratio is 1+1.5=2.5

to get the number of 5p coins you get (1/2.5)*75=30

To get the number of 10p you get

(1.5/2.5)*75=45

so he has 30 5p coins and 45 10p coins so the total value Is given by

(5*30)+(10*45)=600

Answer:

394

Step-by-step explanation:

11^2+8*11*3+3^2

121+8*11*3+9

121+264+9

385+9

394

Answer:

-9

Step-by-step explanation: