Using the following image, solve for JI.
J
2x + 28
x + 22
5
H

1) [tex]\overline{RS} \perp \overline{ST}, \overline{RS} \perp \overline{SQ}, \angle STR \cong \angle SQR[/tex] (given)

2) [tex]\overline{RS} \cong \overline{RS}[/tex] (reflexive property)

3) [tex]\angle RST[/tex] and [tex]\angle RSQ[/tex] are right angles (perpendicular lines form right angles)

4) [tex]\triangle RST \cong \triangle RSQ[/tex] (AAS)

The value of x when y = 2 is -19/7

A direct variation from x to y is represented as:

x = ky

Where k represents the variation constant.

x = -19 when y = 14.

So, we have:

-19 = 14k

Make k the subject

k = -19/14

Substitute k = -19/14 in x = ky

x = -19y/14

When y = 2, we have:

x = -19 * 2/14

Evaluate

x = -19/7

Hence, the value of x when y = 2 is -19/7

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I am lazy to type so here look at the picture and there is your answer

Answer:

12

Step-by-step explanation:

36 divided by 3 =12 for 1 teacher

Answer:

The range is all real numbers.

Step-by-step explanation:

The function shown is a line (and not a horizontal line).

The range is all the y's on the graph or all the y's that can be generated by the equation of the function.

f(x) = 3x + 9

You could put ANY, literally any, number in place of the f(x) and be able to calculate an x for it. Looking at the graph of this line, you could go up and down the y-axis to infinity in either direction, and the graph of the line would be there.

The range is All Real Numbers.

[tex] {a}^{3} . \\ \\ {a}^{5}. \\ \\ {a}^{9} . \\ \\ {a}^{m + n}. \\ \\ {x}^{1} = x.\\ \\ {x}^{3}. \\ \\ {x}^{3}. \\ \\ {x}^{m - n} . \\ \\ {y}^{6} . \\ \\ {y}^{12} . \\ \\ {y}^{18} . \\ \\ {y}^{ab}. \\ \\ 1. \\ \\ 1. \\ \\ {px}^{1} = px.[/tex]

[tex]343 .\\ \\ 16 .\\ \\ 3125 .\\ \\ \frac{ - 8}{27} .[/tex]

Answer:

m= –4

So, you only need to of the points to find the slope, why not choosing the first two:

[tex]m = \frac{y2 - y1}{x2 - x1} = = = > \\ m = \frac{12 - 8}{ - 3 - ( - 2)} = = = > \\ m = \frac{4}{ - 1} = - 4[/tex]

so basically, this is the slope your looking for

each number under the leaves section would be a dog

answer: 11

Answer:

11

Step-by-step explanation:

The center of rotation will be (0,4). The points are plotted and the center is found with the help of a graph.

It is a point locus drawn equidistant from the center. The radius of the circle is the distance from the center to the circumference.

Given points;

A(1,-3)

A'(3,5)

B(0,0)

B'(4,-6)

C is the center point of rotation.

The given points are plotted on the graph and obtained as the center of rotation will be (0,4).

Hence the center of rotation will be (0,4).

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Answer:

70

Step-by-step explanation:

Valeria doesnt want any lollipops left over, but identical, so that means you have to add. You can divide the two colors otherwise you get a decimal, which you cant break a lollipop into, or an indefinite letter, a lollipop cant fit in that as well. The only sensible thing is to add them.

The Voltage of the given Circuit is gotten as; V = 36 - 2j Volts

We are given;

Current; I = 3 + 4j amps

Resistance; R = 4 - 6j ohms

From ohms law, we know that;

V = IR

Thus;

V = (3 + 4j) * (4 - 6j)

V = 12 + 16j - 18j - 24j²

Now, in vector notation; j² = -1. Thus;

V = 12 - 2j + 24

V = 36 - 2j Volts

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Answer: [tex]\frac{8}{5}[/tex]

Step-by-step explanation:

343 is equal to 7 to the power of 3.

49 is equal to 7 to the power of 2.

You can then make the equation:

[tex](7^{3})^x = (7^2)^{4-x}[/tex]

The powers law means if something is to the power of something, it is multiplied.

So, we can remove the 7 and make the equation:

3x = 2(4-x)

3x = 8 - 2x

5x = 8

x = [tex]\frac{8}{5}[/tex]

You can verify this by plugging it in,

[tex]343^{8/5} = 11388.6066[/tex]

[tex]49^{4-(8/5)} = 11388.6066[/tex]

Answer: No

Step-by-step explanation:

Weight limit = 40 Lb

Weight given = 21 kg

Conversion factor

2.2 Lb = 1 kg

2.2 x 21 = 46.2

46.2 Lb = 21 kg

46.2 > 40, the stand cannot support the TV

TV > stand

f(-2) = 2(-2)² - 8(-2) + 6 = 30

f(-1) = 2(-1)² - 8(-1) + 6 = 16

f(0) = 2(0)² - 8(0) + 6 = 6

f(1) = 2(1)² - 8(1) + 6 = 0

f(2) = 2(2)² - 8(2) + 6 = -2

Utilizando trigonometría, veremos que la altura del arbol es 6m.

Podemos visualizar la situación como un triangulo rectangulo.

La altura del arbol será el cateto opuesto al angulo de 36.87°.

La distancia a la base del tronco, que es 8 metros, será el cateto adjacente a dicho angulo.

Entonces, podemos usar la relacion:

tan(θ) = (cateto opuesto)/(cateto adjacente).

Reemplazando lo que conocemos, y definiendo:

altura = cateto opuesto = H.

tendremos:

tan(36.87°) = H/8m

Resolviendo para H:

H = tan(36.87°)*8m = 6m

Así, concluimos que la altura del arbol es 6m.

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The inverse function will be h⁻¹(x) = {(–5, 3), (–7, 5), (–9, 6), (–12, 10), (–16, 12)}. Then the correct option is B.

Suppose that the given function is

f:X → Y

Then the inverse of the considered function will be

f⁻¹: Y → X

The function h(x) is given below.

h(x) = {(3, –5), (5, –7), (6, –9), (10, –12), (12, –16)}

Then the coordinate of the inverse function gets swapped.

h⁻¹(x) = {(–5, 3), (–7, 5), (–9, 6), (–12, 10), (–16, 12)}

Then the correct option is B.

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The mathematical reasoning for the first step is; Distributive Property

We want to multiply the linear expressions; -2n and ³/₄n.

The first step will be to express them with the multiplication sign to get and factorize;

-2n × ³/₄n

Now, since n is common to both terms, we will factorize it out to get;

n(-2 × ³/₄)

Now, that operation above is termed as a distributive property because we know that the algebra distributive property is;

a(b + c) = ab + ac

Or a(b × c) = ab × ac

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Answer:

communitave property i think

Step-by-step explanation:

The Volume and Surface Area of Prism is 294 in² and 114.33 in³.

A large structure built especially in ancient Egypt that usually has a square base and four triangular sides meeting at a point and that contains tombs.

Surface rea of rectangular prism,

= 2( lb +bh +lh)

= 2 ( 7*7 + 7*7+ 7*7)

= 2 ( 49+49+49)

= 2*3*49

= 294 in²

Now, Volume,

= bhl/3

= 7*7*7/3

= 114.33 in³

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Answer:

4.1968

Explanation:

Given that:

angle: 25°

opposite: x

adjacent: 9

So, use the tan rule:

opposite/adjacent = tan(x)

x/9 = tan(25)

x = 9tan(25)

x = 4.1968

Option A

Answer:

DE

Step-by-step explanation:

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

Answer:

vertex = (h, k )

Step-by-step explanation:

the standard form of an absolute value function is

f(x) = a | x - h | + k

where (h, k ) are the coordinates of the vertex

Step-by-step explanation:

get the lcm of the numerals and the denominators then simplify

hope it is correct

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[tex]\text{\textbf{Hello!} In this question, we are trying to figure out the \underline{equation} of the line}\\\text{with the given information.}[/tex]
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[tex]\textbf{Explanation:}\\\quad{}\\\text{In the question, we were given our \emph{slope} (gradient) and a \emph{point}. This will help}\\\text{us solve our problem.}\quad{}\\\\\text{Slope: 2 }\\\\\text{Point: (1, 4)}\\\quad{}\\\text{In order to find the equation, we will be using the \underline{point-slope formula:}}\\\quad{}\\y - y1 = m(x - x1)\\\quad{}\\\text{With this equation, we would plug in our given values to its}\\\text{correct variable and solve.}[/tex]
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[tex]\textbf{Solve:}\\\\\text{Use the point-slope formula to solve.}\\\\y - y1 = m(x - x1)\quad{}\\\\\text{Plug in 2 to m, 1 to x1, 4 to y1 and then solve.}\\\\y - 4 = 2(x - 1)\\\\\text{Use the \underline{distributive property} to distribute the 2.}\\\\y - 4 = 2x - 2\\\\\text{Add 4 to both sides to cancel the 4 on the left and move the remainder}\\\text{to the right side of the equal sign.}\\\\y = 2x + 2\\\\\text{Since we can't simplify any further, our answer is: \fbox{y = 2x + 2}}[/tex]
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[tex]\textbf{Answer:}\\\\\text{Therefore, the equation of the line (our final answer) would be \fbox{y = 2x + 2}}[/tex]
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Answer:

Cos, a abreviation of cosine is used in trigonometry, and it represents the ratio of the hyptenuse and the adjacent side of a right triangle (a triangle with a right/90 degree angle). The formula for evaluating cosine/cos is the length of the adjacent side of the triangle divided by length of the hypotenuse of the triangle. To be clear, the hypotenuse is the side of the triangle the 90 degrees is facing, and the adjacent side is the side across the hypotenuse.

Step-by-step explanation:

Answer:

A trigonometric function that for an acute angle is the ratio between the leg adjacent to the angle when it is considered part of a right triangle and the hypotenuse.

What is cos law?

The cos law or cosine law defines the relationship between the sides and the angles of the triangle. This law is also known as the law of cosine or cosine rule. According to this law,

c2 = a2 + b2 − 2ab cos α

Where a, b and c are the sides of the triangle.

Answer:

x=-7

0=(-7)³-3(-7)²+2(-7)-8

=-343-147-14-8

0≠-512

x+7 isn't a factor

The statements which are true from the given table are:

The function that best represents the data is f(x) = 24,512(0.755)x.

The function decreases indefinitely.

It is reasonable to interpolate the value of the car at 4.5 years.

Depreciation refers to the accounting method where the value of a tangible asset reduces over a period of time.

The value of the car is shown with the purchase with entries that shows its value over time,

The function that best represents the data is f(x) = 24,512(0.755)x and that this function decreases indefinitely.

The statements which are true from the given table are:

The function that best represents the data is f(x) = 24,512(0.755)x.

The function decreases indefinitely.

It is reasonable to interpolate the value of the car at 4.5 years.

The complete question is

"The value of a car decreases as shown in the table below.

A 2-column table with 6 rows.

The first column is labeled years after purchase with entries 0, 1, 2, 3, 4, 5.

The second column is labeled value (dollar sign) with entries 25,000; 18,000; 14,000; 10,500; 8,000; 6,000.

Which statements are true? Check all that apply.

The function that best represents the data is f(x) = 24,512(0.755)x.

The function that best represents the data is f(x) = 554x2 – 5,439x + 24,600.

The function decreases indefinitely.

It is reasonable to interpolate to the value of the car at 4.5 years.

It is reasonable to extrapolate to 40 years"

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Answer:

5.1 yd

Step-by-step explanation:

tan(25°) = x/11

x = 11tan(25°)=5.1 yd