MATHEMATICAL CONNECTIONS Solve a system of linear equations to find the values of x and y.

The corresponding sides of two triangles are proportionate if they are identical then the length of side ZX exists 10.5 units.

What is meant by right triangles?

If one of the triangle's angles is 90 degrees, the triangle is said to be right-angled. 90 degrees is the sum of the other two angles. Perpendicular and the triangle's base make up the sides that the right angle is formed from. The hypotenuse, or third side, is the longest of the three. It is also known as the hypotenuse.

Main body:

If two triangles are similar, then their corresponding sides are proportional.

Since , therefore

AB/X Y = BC/YZ = CA/ZX

substitute the values in the above equation, we get

2/7 = 4/14 = 3/N

2/7 = 2/7 = 3/N

2/7 = 3/N

On cross multiplication, we get

2 × N = 3 × 7

2N = 21

Divide both sides by 2

N = 21/2

N = 10.5

Therefore, the length of side ZX exists 10.5 units.

The complete question is:

In the figure below, ABC is similar to XYZ . What is the length of ZX ? Enter only the number as an integer or decimal. An image shows two similar right triangles, A B C and X Y Z. Triangle A B C is smaller than triangle X Y Z. In triangle A B C, side A B is 2, side B C is 4, and side C A is 3. In triangle X Y Z, side X Y is 7, side Y Z is 14, and side Z X is labeled N.

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Answer:

1.  x=25

2. x=6

3.  y=30;  x=20

Step-by-step explanation:

1.)  180 - 130 = 2x

2x = 50

x = 50/2 = 25

2.)  24 = 3(x+2)

24 = 3x + 6

3x = 18

x = 18/3 = 6

3.)  y = 46 - 16 = 30

x = 180 - 100 - 60 = 20

At 90 degree Celsius, yeast cells produce the least amount of gas in 15 minutes.

Given,

The graph shows the effect of temperature on Yeast Respiration

Change in volume of bread dough vs temperature of water bath bath is given in the graph.

We have to find the temperature at which the yeast cells produce the least amount of gas in 15 minutes;

Effect of Temperature on Yeast Respiration;

Yeast will produce more carbon dioxide at higher temperatures, which will result in more bubbles developing. The rate of respiration will decrease whenever the temperature rises above a particular level.

Here,

Compared to 10 degrees, 25 degrees, 50 degrees, and 75 degrees Celsius, the yeast cells produced the least quantity of gas in 15 minutes at 90 degrees.

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Answer:

The first one is congruent.  Vertical angles are congruent (same measurement)

The second and third pictures are the same Supplemental.  The two angels added together is 180

The last picture is commentary.  That is when two angles added together are 90.

Step-by-step explanation:

Answer:

[tex]x=3, y=-1[/tex]

Step-by-step explanation:

[tex]3(3y+6)+2y=7 \\ \\ 9y+18+2y=7 \\ \\ 11y+18=7 \\ \\ 11y=-11 \\ \\ y=-1 \\ \\ \\ x=3(-1)+6=3[/tex]

100 percent of the 155 poems.

Of the 155 poems, 31 represent 20%.

120% of 155 poems, or 186 poems.

In order to convert a proportion to a percentage, the number of desired results is divided by the total number of outcomes. The outcome is then 100% multiplied.

The total number of outcomes is presented as follows, taken from the tape diagram provided at the end of the answer:

According to the given information

155 poetry.

The distribution of the 155 poems is as follows:

155/155 x 100% = 100%.

In the 31 poems, there are:

31/155 x 100% = 20%.

Among the 186 poems, there are:

186/155 x 100% = 120%.

So

In this issue, the percentages are described as follows:

100 percent of the 155 poems.

Of the 155 poems, 31 represent 20%.

120% of 155 poems, or 186 poems.

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A slope of -5/8 and 8/5 are perpendicular.

Lines that are perpendicular have slopes that are opposite reciprocals of one another.

Hope this helps!

(A) The rate of making coffee by coffee maker  is 6 mL/second.

(B) The rate of making juice by juice maker is 8 mL/second.

(C) Juice is being made at a faster rate.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

The rate of coffee made by coffee maker is represented by,

y = 6x       (1)

Here, y represents the amount of coffee in mL and x represents the time passed in seconds.

Also, The rate of juice made by juice make can be represented by the given table as,

k = 8h     (2)

Here, k represents the amount of juice in mL and h represents the time passed in seconds.

(A)

To find the rate of making coffee, solve the equation (1),

y = 6x

⇒ y/x = 6 mL/second

The rate of making coffee by coffee maker  is 6 mL/second.

(B)

To find the rate of making juice, solve the equation (2),

k = 8h

⇒ k/h = 8 mL/second

The rate of making juice by juice maker is 8 mL/second.

(C)

Since, the juice is made at the rate of 8 mL/second and the coffee is made at the rate of 6 mL/second.

Therefore, juice is being made at a faster rate.

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The required expression that is equivalent to 5z  is √[5z]², [5z]²/5z, and 5z + 1 - 1.

Given that,
To create 3 expressions equivalent expression to 5z,

The algebraic expression consists of constant and variable. eg x, y, z, etc.

Here,
The expression can be created by applying the mathematical operation to the parent expression such as by squaring, division and multiplication, and so on.
The equivalent expression is deduced as, √[5z]², [5z]²/5z, and 5z + 1 - 1.

Thus, The required expression that is equivalent to 5z  is √[5z]², [5z]²/5z, and 5z + 1 - 1.

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The next number in the given sequence is 256

What is Fibonacci sequence?

Leonardo Pisano Bogollo, an Italian, was the first to discover the Fibonacci sequence (Fibonacci). The numbers in the Fibonacci sequence are all whole numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34,... Each phrase in this infinite sequence—which has 0 and 1 as its initial values—is the sum of the two terms before it. This pattern has been referred to as "nature's secret code."

Sunflowers, daisies, broccoli, cauliflower, seashells, and other spiral-shaped plants all display the Fibonacci sequence.

Observe that, the terms in the sequence are based on the 2 to the power of the Fibonacci series (0,1,1,2,3,5,8 …)

2^0=1

2^1=2

2^1=2

2^2=4

2^3=8

2^5=32

2^8=256

So, the next number in the given sequence is 256.

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Answer: Yes

Step-by-step explanation:

Parallel means that the lines are a constant distance away from each other and they never touch. As you can see lines C and D never touch.

Answer:

lets say C BAHAHAHA

Step-by-step explanation:

The response choice that include the true statements based on the number line is the second option;

Point B represents [tex]-2\frac{1}{2}[/tex], Point C represents 1, and 1 > [tex]-2\frac{1}{2}[/tex]

A number line is a line that contains (equally spaced) markings, which is then used to illustrate mathematical operations.

The number line in the question is presented as follows;

<________|_____|_____|__|__|____|____|____|___|_|____|_____|____>

                -5          A               B                     0       C      D                     5  [tex]{}[/tex]

Therefore, based on the number line, we get;

The location of the point A is 4 units to the left of the point 0, taking the points to the right of zero as positive, we get;

Each unit to the left of point O, is -1 larger than the previous value, moving from right to left.

The coordinates of the point A is therefore, -1 × 4 = -4

The location of the point C is one unit to the right of 0, therefore, the coordinates of the point C is 1

The location of the point C = 1 is further right to 0 than the point B = -2 1/2

Therefore;

The correct option is; Point B represents -2 1/2, Point C represents 1, and 1 > -2 1/2

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Answer:

The slope of a line perpendicular to the line y=1/3x-2 is the negative reciprocal of the slope of that line. The slope of the line y=1/3x-2 is 1/3, so the slope of a line perpendicular to it is -3.

Answer:7

Step-by-step explanation:

The surface area of the model is 4,784 in². Option C. is the answer

Given: depth of the television = 4 inches, the height of the television = 39 inches and diagonal length = 65 inches.

From the image attached. You can find the width of the television using Pythagoras' theorem:

Width (W) = √(65²-39²)  = 52 inches

Surface area of the model = (area of back and front) + (area of left and right) + (area of top and bottom)

Let H, D and W represent the height, depth and width of the television respectively  

Surface area of the model = 2WH + 2WD + 2DH

Surface area of the model = 2×52×39 + 2×52×4 + 2×4×39

Surface area of the model = 4056 + 416 + 312

Surface area of the model = 4,784 in²

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Answer: 4,784 in2

Step-by-step explanation: CORRECT ON EDMENTUM

Answer:

p > 34

He wrote more than 34 pages before today.

Step-by-step explanation:

Eduardo wrote 16 more pages, increasing his total number of pages above 50.

p = pages he wrote before today

p + 16 > 50

p > 50 - 16

p > 34

He wrote more than 34 pages before today.

(1) TV = 7

(2) JL = 25

(3) The distance between I and J is 7.

(4)  The distance between C and D is 5.

What is distance?

Distance is a measurement of how far apart two objects or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

(1) Given that: ST = 6 and SV = 13

We have to find TV

From figure,

   SV = ST + TV

    13 = 6 + TV

13 - 6 = TV

   TV = 7

(2) Given: KL = 9 and JK = 16

We have to find JL

From figure,

JL = JK + KL

JL = 16 + 9

JL = 25

(3) We have to find the distance between I and J.

Let, I = -9 and J = -2

IJ = -2 - (-9)

IJ = -2 + 9

IJ = 7

Hence, the distance between I and J is 7.

(4) We have to find the distance between C and D.

Let, C = 3 and D = 8

CD = 8 - 3

CD = 5

Hence, the distance between C and D is 5.

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Answer:

number

Step-by-step explanation: by steps

All the given triangles are congruent by SSS, SAS, and AAA rules.

If two figures are exactly the same in sense of their length side all things then they will be congruent.

If it is possible to superimpose one geometric figure on the other so that their entire surface coincides, that geometric figure is said to be congruent or to be in the relation of congruence.

As per the given triangles,

In the first triangle, two sides are the same and the third side is the common side thus it will be congruent with the SSS rule.

The remaining triangles are also congruent similarly to SAS and AAA rules like this.

Hence "By the SSS, SAS, and AAA criteria, every triangle in the example is congruent.".

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Answer:

1.727 x 10^4

Step-by-step explanation:

2.26 x 10^4 = 22 600

5.33 x 10³ = 5330

22 600 - 5330 = 17 270

17 270 = 1.727 x 10^4

The probability of the prior event is multiplied by the current likelihood of the subsequent, or conditional, occurrence to determine the conditional probability.

The conditional probability is calculated by multiplying the probability of the previous event by the current probability of the subsequent, or conditional, occurrence. As an example, think about Event A: There is a 0.3 (30%) chance of rain today despite the fact that it is currently pouring outside.

Part A:

Creation of four blocks of two volunteers:

PART A: Skin Dryness based on age:

Volunteer     Gender     Age, year

5                     Male         22

1                      Male         23

4                     Female     24

2                     Female     25

3                     Female     51

7                     Male         52

The criteria for creating the blocks is age.  The gender is not a material consideration.

Part B:

Creation of four blocks of two volunteers:

PART B:  Skin Dryness based on Age and Gender:

Volunteer     Gender     Age, year

5                     Male         22

4                     Female     24  

1                      Male         23

2                     Female     25

3                     Female     51

6                     Male        53

7                     Male         52

8                     Female    56

The criteria for creating the four blocks are age and gender.  Each gender is included in each group.

Part C:

Randomly assigning treatment to groups without regard to their group dynamics may not be the most efficient.  The new treatment formula should be assigned to one of the young groups and one of the old groups, using stratification.  This will help to explain if age or gender causes skin dryness or not.

a) Data and Calculations:

Volunteer     Gender     Age, year

1                      Male          23

2                     Female     25

3                     Female     51

4                     Female     24

5                     Male         22

6                     Male         53

7                     Male         52

8                     Female    56

PART A: Skin Dryness based on Age:

Volunteer     Gender     Age, year

5                     Male         22

1                      Male         23

4                     Female     24

2                     Female     25

3                     Female     51

7                     Male         52

6                     Male        53

8                     Female    56

PART B:  Skin Dryness based on Age and Gender:

Volunteer     Gender     Age, year

5                     Male         22

4                     Female     24  

1                      Male         23

2                     Female     25

3                     Female     51

6                     Male        53

7                     Male         52

8                     Female    56

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The two numbers are 12 and 14 (using quadratic equation)

Let two numbers be a and b

given,

(a + b)/2 = 13 ⇒ a + b = 26 ⇒a = 26 - b→ eq 1

also,

ab = 133

using eq 1 in ab = 133 we get,

[tex]b^{2}[/tex] - 26b + 133 = 0

using quadratic formula,

[tex]\frac{-b+- \sqrt{b^{2}-4ac } }{2a}[/tex]

we get b = 38,14

if b = 38, a = -12, which doesn't satisfy the question

so, b = 14, a = 12

quadratic equation:

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:

ax² + bx + c = 0

where a, b, and c are numerical coefficients and x is an unknown variable. An example of a quadratic equation is x2 + 2x + 1. Here, an is greater than zero because if it equals zero, the equation will cease to be quadratic and change to a linear equation, such as:

bx+c=0

As a result, we cannot refer to this equation as a quadratic equation.

Another name for the terms a, b, and c is quadratic coefficients.

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Answer:

10, 20, 5

Step-by-step explanation:

she's selling 1 bag for 10 dollars

The first row says 1 bag, that is 10 dollars so the answer is 10

The second row says 2 bags, so you just do 10 times 2. This is 20

The third row gives you the amount of money instead. Since they are 10 dollars each, 50 dollars means 5 bags of churros. I just did 50 divided by 10 to get 5 :)

Answer:

27

Step-by-step explanation:

243/9

Answer: 43%,

Step-by-step explanation:

i did it in my search bar but its just 112 percent of 378 which is 43

Answer:

Step-by-step explanation:

You need to show the model so I can answer

Answer: C

Step-by-step explanation:

Answer:

Step-by-step explanation:

c

Answer:

could u give me an example? I need an example to explain.

Step-by-step explanation:

Answer: 15

Step-by-step explanation:

u can multiply by 2 and get 15