Find the value of x.
5+x=7
x = [?]

The triangle are similar because they satisfy the AAA postulate : Triangle ABC ~ Triangle PQR ( AAA similarity postulate )

A triangle can be defined as a plain shape that has three sides and three angles.

Congruent triangles are triangles that satisfy one or more congruence postulates or laws. The triangles could either be similar based on their angles or sides or angles and side being similar.

In conclusion, The triangle are similar because they satisfy the AAA postulate : Triangle ABC ~ Triangle PQR ( AAA similarity postulate )

Learn more about Congruent triangles :https://brainly.com/question/1675117

#SPJ1

Answer:

[tex] \boxed{\rm \: Slope(m)= \cfrac{4}{ 3} }[/tex]

OR

[tex] \boxed{\rm \: Slope(m) \approx \: 1.30} \rm \: (nearest \: tenth)[/tex]

Step-by-step explanation:

Given two coordinates:

To Find:

Solution:

In this case,we'll need to use the slope's formula,to get the slope.

Here's the formula:

[tex] \rm \: Slope(m)= \: \cfrac{ y_2 -y_1 }{x_2 - x_1} [/tex]

According to the question:

Substitute them accordingly:

[tex] \rm \: Slope(m)= \cfrac{3 - ( - 1)}{ - 1 - ( - 4)} [/tex]

Simplify then, using a rule called PEMDAS.

[tex] \rm \: Slope(m)= \cfrac{3 + 1}{ - 1 +4 } [/tex]

[tex] \rm \: Slope(m)= \cfrac{4}{ 3} [/tex]

[tex] \rm \: Slope(m) \approx \: 1.30[/tex]

Hence, we can conclude that:

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the slope of a line parallel to the line that passes through

[tex]\star~\mathrm{(-4,-1)}\star[/tex]

[tex]\star~\mathrm{(-1,3)}[/tex]

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Here's the formula:

[tex]\star\boxed{\mathrm{\cfrac{y2-y1}{x2-x1}}}[/tex]

y2 and y1 are y-coordinates

x2 and x1 are x-coordinates

Substitute the given values:

[tex]\star\mathrm{\cfrac{3-(-1)}{-1-(-4)}}[/tex]

Simplify!

[tex]\star\mathrm{\cfrac{3+1}{-1+4}}[/tex]

Simplify more!

[tex]\star\mathrm{\cfrac{4}{3}}[/tex]

Now, what is the slope of the line parallel to this one?

Well, parallel lines have the same slope.

[tex]\star \ \mathrm{The \ slope \ of \ the \ line \ parallel \ to \ this \ one \ is \ \cfrac{4}{3}}.[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

Answer:

Bhāskara was a 7th-century mathematician and astronomer, who was the first to write numbers in the Hindu decimal system with a circle for the zero, and who gave a unique and remarkable rational approximation of the sine function in his commentary on Aryabhata's work. 

Aryabhatta is the father of Indian mathematics. He was a great mathematician and astronomer of ancient India. His major work is known as Aryabhatiya. It consists of spherical trigonometry, quadratic equations, algebra, plane trigonometry, sums of power series, arithmetic.

Step-by-step explanation:

hope it helps you and give brainliest

Answer:

if I am awake then it is 9 am.

Step-by-step explanation:

if p then q the converse is if q then p.

Answer:

In two spins, there are 9 possible outcomes:  AA, AB, AC, BA, BB, BC, CA, CB, CCIf we assume each of these is equally likely, then the probability of AB or BA is ...  2/9

Step-by-step explanation:

Using proportions, it is found that both spaces have the same brightness, as both have 3 candles per m².

The correct question is as given below:-

Nayeli lights a 4 square meter space with 12 candles. Citlali lights a 10 square meter space with 30 of the same type of candles. Whose space is lit brighter? Choose 1 answer: help me im graded at this

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

For Nayeli and Citlali, the rate of candles per m² is given by:

N = 12/4 = 3 candles per m².

C = 30/10 = 3 candles per m².

Hence both spaces have the same brightness, as both have 3 candles per m².

More can be learned about proportions at

brainly.com/question/24372153

#SPJ1

Answer:

[tex]x = - 3 \: and \: y = - 11[/tex]

Step-by-step explanation:

L

[tex]since \: y = 2x - 5(equation \: 1) \: \\ [/tex]

[tex]substitute \: for \: y \: in \: equation \: 2 \: (6x + 7 = y)[/tex]

[tex]6x + 7 = y \\ 6x + 7 = 2x - 5 \\ collect \: like \: terms \\ 6x - 2x = - 5 - 7 \\ 4x = - 12 \\ x = \frac{ - 12}{4} \\ x = - 3[/tex]

[tex]substitute \: for \: x in \: equation \: 1[/tex]

[tex]y = 2x - 5 \\ y = 2( - 3) - 5 \\ y = - 6 - 5 \\ y = - 11[/tex]

Answer:

[tex]y = 2.x = \frac{1}{11} [/tex]

[tex] \binom{x - 56x + 7 = y}{y = 2} [/tex]

_______________________

1. Substitute y = 2 :

[tex](x - 56x + 7 = 2)[/tex]

2. Simplify :

[tex]( - 55x + 7 = 2)[/tex]

3. Isolate x for [tex]( - 55x + 7 = 2) : x = \frac{1}{11} [/tex]

4. The solution of the system of equations are :

[tex]y = 2.x = \frac{1}{11} [/tex]

By using the midpoint approach, the price elasticity of demand between each of the given prices are:

The price elasticity of demand measures the responsiveness of the quantity demanded by a consumer with respect to a specific change in price of the product, all things being equal (ceteris paribus).

By using the midpoint approach, the price elasticity of demand between each of the given prices is given by:

Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]

Price elasticity of demand = (15 - 5)/[(15 + 5)/2]/(25 - 30)/[(25 + 30)/2]

Price elasticity of demand = 1/-0.1818

Price elasticity of demand = 5.50.

Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]

Price elasticity of demand = (25 - 15)/[(25 + 15)/2]/(20 - 25)/[(20 + 25)/2]

Price elasticity of demand = 0.5/-0.2222

Price elasticity of demand = 2.25.

Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]

Price elasticity of demand = (35 - 25)/[(35 + 25)/2]/(15 - 20)/[(15 + 20)/2]

Price elasticity of demand = 0.33/-0.2857

Price elasticity of demand = 1.17.

Price elasticity of demand = (Q₂ - Q₁)/[(Q₂ + Q₁)/2]/(P₂ - P₁)/[(P₂ + P₁)/2]

Price elasticity of demand = (45 - 35)/[(45 + 35)/2]/(10 - 15)/[(10 + 15)/2]

Price elasticity of demand = 0.25/-0.4

Price elasticity of demand = 0.63.

Read more on price elasticity here: https://brainly.com/question/24384825

#SPJ1

Answer:

Negative thirty

Step-by-step explanation:

Answer:

Step-by-step explanation:

Identity used:  (a +b)³ = a³ + b³ + 3ab(a +b)

       p + q = -2  ------------------(I)

Both sides take cube,

        (p +q)³ = (-2)³          

a = p and b =q

  p³ + q³ + 3pq(p +q) = -8

  p³ + q³ + 3pq*(-2)   = - 8        {From (I)}

  p³ + q³  - 6pq         = -8

                  p³ + q³    = -8 + 6pq

             p³ + q³   + 8 = 6pq

Hence, proved.

Answer:

the probability is %25 percent :P

Step-by-step explanation:

The expression equivalent to -2log₂x + 4log₂y + 4log₂z is log₂(yz)⁴/x².

To answer the question, we need to know the laws of logarithm

Since we want to find the expression equivalent to -2log₂x + 4log₂y + 4log₂z, we simplify using these laws, we have

-2log₂x + 4log₂y + 4log₂z = log₂x⁻² + log₂y⁴ + log₂z⁴ (appying the power law)

= log₂x⁻²y⁴z⁴ (applying the multiplication law)

= log₂y⁴z⁴/x²

= log₂(yz)⁴/x²

So, the expression equivalent to -2log₂x + 4log₂y + 4log₂z is log₂(yz)⁴/x².

Learn more about laws of logarithm here:

https://brainly.com/question/1462449

#SPJ1

Answer:

C.log_2(yz^4/x^2)

Step-by-step explanation:

I took the Algebra exam

Answer:

The experimental probability is 4%

Step-by-step explanation:

The answer to your question would be 43/15 or 2.866 and ongoing.

The volume of the cylinder will be equal to 1017.87 cubic feet.

Volume is defined as the space occupied by any object in the three-Dimensions. For the cylinder, the volume will be calculated by radius and the height of the cylinder.

Given that:-

The volume of the cylinder will be calculated by using the formulas below:-

V = πr²h

V = π ( 9 )² 4

V = 1017.87 cubic feet.

Therefore the volume of the cylinder will be equal to 1017.87 cubic feet.

To know more about Volume follow

https://brainly.com/question/1972490

#SPJ1

The similarity relationship is  AC / EC = AB / ED.

The length of AB is 157.50m.

When two triangles are similar, the ratio of the known sides of the triangles can be used to determine the length of the side of the unknown length.

The similarity relationship is : AC / EC = AB / ED

AC = 160 + 50 = 210

210 / 160 = AB / 120

AB = (210 X 120) / 160 = 157.50

To learn more about similar triangles, please check: https://brainly.com/question/10658464

#SPJ1

Answer:

10.5 miles.

Step-by-step explanation:

If she walks 7/10 of a mile each morning, and 1, 4/10 of a mile each day, Belle walks a total of 2 1/10 of a mile each day (2.1) miles each day)

We can just multiply the amount of miles per day by 5, (2.1 x 5) and we get 10.5 miles total.

Answer:

10 1/2

Step-by-step explanation:

divide 7/10 which is 0.7 then multiply that by 5 which is 3.5

then divide 4/10 which is 0.4 then multiply that by 5 which is 2, but add 5 which is 7.

then combine all of that together which is 3.5+7= 10.5

then convert that into a fraction which is 10 1/2

see the attachment..........

Answer:

[tex] \text{C.} \: f(x) \: = \: |x| [/tex]

Step-by-step explanation:

To identify the absolute value of a number, it will always be represented between two sticks.

Answer:

See below ~

Step-by-step explanation:

Question 6(e) :

⇒ x² ≤ 16

Take square root on each side :

⇒ √x² ≤ √16

⇒ x ≤ 4 and x ≥ -4

⇒ -4 ≤ x ≤ 4

⇒ x² ≤ 16

Apply the absolute rule if x² < a then -√a < x < √a

⇒ -√16 ≤ x ≤ +√16

⇒ -4 ≤ x ≤ 4

First of all, The student should have subtracted both sides by 4

What he should have done:

[tex]\rightarrow \sf \dfrac{3}{x-2} > 4[/tex]

[tex]\rightarrow \sf \dfrac{3}{x-2} -4 > 4 -4[/tex]

[tex]\rightarrow \sf \dfrac{3}{x-2} -\dfrac{4(x-2)}{x-2} > 0[/tex]

[tex]\rightarrow \sf \dfrac{3-4(x-2)}{x-2}} > 0[/tex]

[tex]\rightarrow \sf \dfrac{3-4x+8}{x-2}} > 0[/tex]

[tex]\rightarrow \sf \dfrac{-4x+11}{x-2}} > 0[/tex]

[tex]\sf \large \boxed{\sf {\left \{ {{-4x+11 = 0} \atop {x-2 = 0}} \right. }}[/tex]

⇒ -4x + 11 = 0, x - 2 = 0

⇒ -4x = -11, x = 2

⇒ x = 11/4 , x = 2

Solution satisfying the inequality:

⇒ 2 < x < 11/4

The tangent of an angle is the ratio of perpendicular to the base. The angle will the guy wire makes with the ground will be 80.91°.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

A tower, 50 feet high, is secured with a guy wire anchored 8 feet from the base of the tower.

The angle will the guy wire makes with the ground will be given by the tangent.

The tangent of an angle is the ratio of perpendicular to the base.

Then we have

tan θ = 50/8

tan θ = 6.25

     θ = tan ⁻¹ (6.25)

     θ = 80.9097

     θ ≅ 80.91°

More about the trigonometry link is given below.

https://brainly.com/question/22698523

#SPJ1

The answer is A

[tex]y = - x - 6 \\ 0 = - x - 6 \\ x = - 6[/tex]

so x intercept : (-6,0)

and slope is negative

Hope it helps

Please give brainliest

The equation of line which a slope is -1 and an x-intercept of (-6,0) will be;

⇒ y = - x - 6

The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The slope of the line = - 1

And, The x-intercept = (- 6, 0)

Now,

Let the equation of line;

⇒ y = - x - 6

Slope (m) = dy/dx = - 1

And, The x - intercept is find as;

Put y = 0;

⇒ y = - x - 6

⇒ 0 = - x - 6

⇒ x = - 6

Thus, The correct equation is,

⇒ y = - x - 6

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

The given polygon isa pentagon and the sum of its exterior angle is  360°. The value of x from the given polygon is 8

The given polygon isa pentagon and the sum of its exterior angle is  360°.

Take the sum of the angles and equate to  360° as shown;

77 + 66 + 62+ 59 + 12x =  360°

264 + 12x = 360

12x = 96

x = 8

Hence the value of x from the given polygon is 8

Learn more on exterior angles here: https://brainly.com/question/2546141

#SPJ1

statement best describes the difference of the mean of the two data sets 2.8 is about 1.5 times the mean absolute deviation of either set.

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

The mean of William's set.

To find the mean, add all of the data points together and divide by the number of data points:

=89+90+97+74+78/5

=85.6

Now, mean absolute deviation,

=|89-85.6|+|90-85.6|+|97-85.6|+|74-85.6|+|78-85.6|/5

= 3.4+4.4+11.4+11.6+7.6/5

=7.68.

The mean of Andre's set.

To find the mean, add all of the data points together and divide by the number of data points:

=73+81+87+91+82/5

=82.8

Now, mean absolute deviation,

=|73-82.8|+|81-82.8|+|87-82.8|+|91-82.8|+|82-82.8|/5

=9.8+1.8+4.2+8.2+0.8/5

= 4.96.

Hence, the difference between the means of the two sets is

85.6-82.8=2.8.

2.8 is about 1.5 times the mean absolute deviation of either set.

Learn more about this concept here:

https://brainly.com/question/24255970

#SPJ1

Answer:

Step-by-step explanation:

nothing im just as lost as everyone else

Step-by-step explanation:

3x + y = 8.4

2x + 2y = 10.08

x + y = 5.04

y = 5.04 - x

we use this then in the first equation

3x + 5.04 - x = 8.4

2x = 3.36

x = 3.36/2 = $1.68

y = 5.04 - x = 5.04 - 1.68 = $3.36

blueberries cost $3.36 per pound.

Answer:

6

Step-by-step explanation:

Answer:

2 or A

Step-by-step explanation:

Correct on edge22