Find the value of x,yand z​

The required measure of ∠L=25° for the given triangle.

A triangle is a closed shape composed of three angles, three sides, and three vertices. It is one of the most fundamental geometric forms and is represented by the symbol Δ.

If two sides of a triangle are congruent, then the angles opposite those sides are congruent.:

∠KJL = ∠JLK

Substitute ∠KJL = 25° into ∠KJL = ∠JLK: 25° = ∠JLK

∠JLK = 25°

Thus, the required measure of ∠L=25°.

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A jug has gallon of water inside it. 8 pints of water are in the jug.

What is meant by gallon?

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Julie went to the post office to buy 90 stamps and 40 postcards

An equation shows the relationship between numbers and variables in an expression.

Let x represent the number of stamps and y represent the postcards.

Julie went to the post office and bought both $0.41 stamps and $0.26 postcards for her office's bills. She spent $47.30, hence:

0.41x + 0.26y = 47.30    (1)

Also, The number of stamps was 10 more than twice the number of postcards:

x = 10 + 2y

x - 2y = 10   (2)

From both equations:

x = 90, y = 40

90 stamps and 40 postcards were bought

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If Audrey is on page 75, then Lauren is on page 25.

It is the comparison of two quantities of the same kind is called ratio.

It is an equation in which two ratios are equal is proportions

Given;

Audrey reads 15 pages a day and Lauren reads 5 pages a day.

So, the ratio of number of pages for Audrey and Lauren would be;

15 : 5

Let 'n' be the number of pages Lauren read when Audrey is on page 75.

Now, the ratio of number of pages would be;

75 : n

Here, both the ratios are in proportion;

15/5=75/n

15x n= 75x5

n=25

Therefore, Lauren is on page number 25.

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Because EF = GH = 4, EF≅GH, Because these are vertical line segments, their are slope undefined and they are parallel. EF and GH are opposite sides that are equal and parallel. So, EFGH is a parallelogram by the definition of a parallelogram.

What is a parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides in Euclidean geometry. A parallelogram's opposite or facing sides are equal in length, and its opposite angles are equal in size.

Given that E(-3,0), F(-3,4), G(3,-1),H(3,-5)

The quadrilateral is attached below.

The distance between two points (x₁, y₁) and (x₂, y₂) is √[(x₂ - x₁)² + (y₂ - y₁)²].

The length of EF is √[(-3 -(-3))² + (4- 0)²] = √4² = 4

The length of GH is √[(3 -3)² + (-1- (-5))²] = √4² = 4

Therefore, EF = GH = 4

The line segments are congruent.

The line segments are vertical, thus the slope of the line is undefined.

If opposite sides are equal and parallel, then the quadrilateral is a parallelogram.

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Answer:

The question is incomplete, but the answer would just be 0.50 times the amount of students. Hope this helps.

First, we need to convert the time of 1 hour and 24 minutes into minutes. Since there are 60 minutes in an hour, 1 hour and 24 minutes is equivalent to 1 * 60 + 24 = 84 minutes.

Now we can find out how much cloth 15 weavers can weave in 60 minutes by dividing the cloth length woven in 84 minutes by 84 and then multiplying the result by 60.

Let's call the length of cloth "L"

L = (15 * 84) / 60 = 21

So, 15 weavers can weave 21 units of cloth in 60 minutes.

If we want to find out how many weavers will be required to do the same job in 60 minutes, we can divide the length of the cloth by the number of weavers.

15 weavers = 21 units of cloth

So, the number of weavers required to weave the same amount of cloth in 60 minutes is 21/15= 1.4

So, 1 more weaver will be required to do the same job in 60 minutes.

8 4/3

Hello sorry i dont have explanation

Answer:

D.

Step-by-step explanation:

t = tens digit

u = units digit

"A two digit number is 3 more than 3 times the sum of its digits."

10t + u = 3(t + u) + 3

"The tens digit is 6 less than the units digit."

t = u - 6

System of equations:

10t + u = 3(t + u) + 3

t = u - 6

Answer: D.

Ans D

The 2- digit number can be represented as 10t+u.

Given tens digit is 6 less than units digit. So t = u - 6. -----(1)

The number is 3more than 3 times the sum of its digit.

Sum of digits = t+u

So

10t+u = 3+[3(t+u)] ---------(2)

Composite figures are made up of several different shapes. Calculating the combined areas of the different shapes allows one to compute the area of composite figures.

How to area of composite figures?

1. Identify all of the individual shapes and label them.

2. Calculate the area of each individual shape.

3. Add the areas together to get the total area of the composite figure.

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Answer: 729

Step-by-step explanation:

3 × 3 × 3 × 3 × 3 × 3 = 729.

Step-by-step explanation:

Here we are interested in finding the square root of [tex] 9 +4\sqrt5[/tex] . So , we have

[tex]\longrightarrow \sqrt{ 9+4\sqrt5}[/tex]

We can write it as ,

[tex]\longrightarrow \sqrt{ 5 + 4 + 4\sqrt5} [/tex]

This can be again rewritten as ,

[tex]\longrightarrow\sqrt{ (\sqrt5)^2+2^2+ 2(2)(\sqrt5) } [/tex]

Now this in the form of [tex] a^2+b^2+2ab [/tex] form which is the square of [tex] (a+b)[/tex] . So that,

[tex]\longrightarrow \sqrt{ (2+\sqrt5)^2}[/tex]

Simplify the root ,

[tex]\longrightarrow 2 + \sqrt5[/tex]

Hence we got our answer in the form of [tex] c +\sqrt{d}[/tex]

And we are done!

—Rishabh

Answer:x.....x+3....

Step-by-step explanation:you will take any number x and keep adding 3 to the result to get the given sequence

The percentage increase of Tawny Eagles 39 % during the research is higher than the African Fish Eagle 34 %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage error is the difference between the measured value and the true value , as a percentage of the true value

Percentage Error = [ ( | Measured Value - True Value | ) / True Value ]x 100

Given data ,

Let the percentage increase of African Fish Eagle be represented as P

Let the percentage increase of Tawny Eagles be represented as Q

The initial population of African Fish Eagle = 32,800

The final population of African Fish Eagle = 43,952

The percentage increase in population = [( 43952 - 32800 ) / 32800] x 100

On simplifying the equation , we get

The percentage increase in population P = 0.34 x 100 = 34 %

And ,

The initial population of Tawny Eagles = 7,900

The final population of Tawny Eagles = 10,981

The percentage increase in population = [( 10,981 - 7,900) / 7,900 ] x 100

On simplifying the equation , we get

The percentage increase in population Q = 0.39 x 100 = 39 %

Hence , the percentage increase of population of Tawny Eagles is higher

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0.5 is the exponential form, the exponential representation of the square root of 26 is expressed as (26)12 or (26)0.5, while the radical representation uses the symbol 26.

5.099 divided by 26 is the square root.

The exponential representation of the square root of 26 is expressed as (26)12 or (26)0.5, while the radical representation uses the symbol 26.

When a number is written in exponential notation, it is often stated as a coefficient between 1 and 10 times the exponent, which is an integral power of 10. If you want to write a number in exponential notation, you should do it in the format: c 10n, where c is an integer and n is a number between 1 and 10 (for example, 1, 2.5, 6.3, 9.8). (e.g. 1, -3, 6, -2).

0.5 is the exponential form,the exponential representation of the square root of 26 is expressed as (26)12 or (26)0.5, while the radical representation uses the symbol 26.

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The temperature at the beginning of the week was 166.43°, and the temperature now is 119.63°.

The percentage is defined as a ratio expressed as a fraction of 100.

Let's represent the initial temperature "T". Then, the temperature after one week is T - 46.8.

The percent change in the temperature is given as 72%. So, we have:

(T - 46.8) / T = 72% / 100%

Solving for T, we get:

T = 46.8 / (1 - 72%) = 46.8 / 0.28 = 166.43°

So the temperature at the beginning of the week was 166.43°, and the temperature now is 166.43° - 46.8° = 119.63°.

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Answer:

Choice B

(0.75) (0.90) (126)

Step-by-step explanation:

Original price of coat = $126

First note that
          25% ≡ 0.25 in decimal
           10% ≡ 0.10  in decimal

If she gets 25% off then the discount is 0.25(126)

The coat would then cost her 126-(0.25)(126) = 126(1-0.25) = (0.75)126

(In general if there is  a discount of d% where r = d/100 on sale price of S then the new price would be S(1-r))

On this discounted price she gets an additional 10%(0.10) off.

This means the already discounted price is reduced to 0.9 of its value

So the final discounted price is (0.90[126(0.75]

or (0.90)(0.75)(126)

which can be rewritten as

(0.75) (0.90) (126)

and corresponds to choice B

The other choices can be eliminated easily

A. Here the 10% discount is applied to the original price 126 not the discounted price

C. This is the total discount not the final price

D. This is attempting to find the final price but again the discount of 10% is being applied to 126

E. Does not make any sense. 0.25 x 0.10 = 0.025 and 126 - 0.025 = $125.975 which is practically no discount

Divide all the terms in the equation with 3.2 for resulting equation 7.9375 -x = -28.21875, and

Subtract 25.4 from each side of the equation  to write the equivalent equation as 3.2x = -115.7  

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others. In this tutorial, let's study more about math equations.

The equation is

25.4 - 3.2x = - 90.3

The 1st step can be

Divide all the terms in the equation with 3.2 for resulting equation 7.9375 -x = -28.21875, and

Subtract 25.4 from each side of the equation  to write the equivalent equation as 3.2x = -115.7  

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Answer:

The orthocenter of a triangle is the intersection point of the three altitudes of the triangle.

An altitude of a triangle is a line that goes from one vertex of the triangle to the opposite side, and is perpendicular to that side.

To find the orthocenter of a triangle, we can find the equation of each altitude by using the slope-point form.

The slope of the altitude from vertex X to side YZ is the negative reciprocal of the slope of line YZ.

The slope of line YZ is (3 - (-5)) / (9 - 1) = 8/8 =1

So the slope of the altitude from vertex X is -1

The equation of this altitude is y = -1x + b

We know that this line passes through the point X (-3, 3) so we can substitute this point in the equation and find the value of b

3 = -1(-3) + b

b = 6

So the equation of this altitude is y = -1x + 6

The orthocenter of angle XYZ is the point that is common to all three altitudes, we can find this point by finding the intersection point of all three altitudes.

So the coordinates of the orthocenter of angle XYZ are (1, -1)

The height of the ramp above the ground is 10.1 inches.

Rajani wants to use a sheet of fibreboard 31 in long to create a skateboard ramp with a 19° angle of elevation from the ground.

The height of the ramp can be calculated as follows:

The situation forms a right angle triangle.

Using trigonometric ratios,

sin 19 = opposite / hypotenuse

where

opposite side = height of the ramp

hypotenuse = 31 inches

Therefore,

sin 19 = x / 31

cross multiply

x = 31 sin 19

x = 31 × 0.32556815445

x = 10.0926127882

Therefore,

height of the ramp = 10.1 inches

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Answer:

(fg)(-2) = 18

Step-by-step explanation:

f(x) = 8 – 10x

g(x) = 5x + 4

To find (fg)(-2) or f(g(-2)), first let's find g(-2) by subbing -2 in for x in g(x):

g(x) = 5x +4

g(-2) = 5(-1) +4 = -5+4 = -1

Knowing g(-2)=-1, we can now find f(g(-2)) by subbing -1 in for x in f(x):

f(x) = 8 – 10x

f(-1) = 8 - 10(-1) = 8+10 =18

The probability of the book picking at random is a novel or a dictionary is 1/8.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Bookshelf:

5 cookbooks, 4 novels, 6 picture books, and 1 dictionary.

Total number of books = 5 + 4 + 6 + 1 = 16

The probability of picking a novel.

= 1/16

The probability of picking a dictionary.

= 1/16

The probability of the book picking at random is a novel or a dictionary.

= 1/16 + 1/16
= 2/16

= 1/8

Thus,

The probability is 1/18.

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Answer: The equation y = 3x - 4 is a linear equation in slope-intercept form, where the slope (3) is the coefficient of x and the y-intercept (-4) is the constant term. To find a solution for this equation, we can substitute a specific value of x and solve for the corresponding value of y.

For example, if we let x = 2, we can substitute it into the equation:

y = 3(2) - 4 = 6

So the solution for x=2 is y=6

We can also graph this equation, it will be a straight line with slope 3 and y-intercept (-4)

Step-by-step explanation:

By simplifying 8 to 23 to make both powers base two and subtracting the exponents.

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Answer:

a)  7x + 48 = 90 which simplifies to 7x = 42

b) m∠B = 35°m m∠C = 90°, m∠D = 55°

Step-by-step explanation:

The three angles of a triangle add up to 180°

Therefore the sum of the measures of angles B, C and D should be 180

==> m∠B + m∠C + m∠d = 180

Since m∠C = 90,

m∠B + 90 + m∠D = 180

m∠B  + m∠D = 180 - 90 = 90

Since m∠B = (2x+43)° and  m∠D = (5x+5)°.

(2x + 43) + (5x + 5) = 90

==> 7x + 48 = 90

==> 7x = 90 - 48 = 42

==> x = 42/7 = 6

b)

m∠B = 5 x 6 + 5 = 35°

m∠C = 90°

m∠D = 2 x 6 + 43 = 12 + 43 = 55°

Answer:

You can do this on your own

Step-by-step explanation:

Knowing this, we know that 10 is like 0.0299% of 943M sO do this on your own!

Answer:

y(z)

Step-by-step explanation:

sorry that was my opinion

Answer: a) $10 per month b) the original runners

Step-by-step explanation: A) since runners cost $240, and you used them for a total of 2 years, which is 24 months. This means they cost 240/24 = $10 per month

b) The other pair costs $168 but you only have them for 2 months so they cost 168/2 = $84 per month which are more expensive.

Answer:

Step-by-step explanation: the answer would be C because if you have 10 gallons in your car and then use the ten gallons you have 0 gallons left with combines to make 0

Answer: Option C

Step-by-step explanation:

Person below explained it well

Answer:

(0,0) 3rd

(1,5) 1st

(6,30) 1st

5 feet: 1 second