If they are similar, find the value of x

If They Are Similar, Find The Value Of X

Answers

Answer 1

For figure 2) the value of the 'x' would be x = 14.

and for figure 3) the value of the 'x' would be x = 17 or x = 1 .

What is the Basic Proportionality Theorem?

The Basic Proportionality Theorem (can be abbreviated as BPT) states that, if a line is parallel to a side of a triangle that intersects the other sides into two distinct points, then the line divides those sides in proportion.

Figure 2)

By using the Basic Proportionality Theorem, we can write

                        [tex]\frac{11}{22}=\frac{x}{42-x}\\\\\frac{1}{2}=\frac{x}{42-x}\\\\42-x=2x\\\\3x=42\\\\x=14[/tex]

Now for figure 3)

            By using Pythagoras' theorem, we can write

                        [tex]24^2+(x+7)^2=(2x-10)^2\\\\576+x^2+14x+49=4x^2-40x+100\\\\3x^2-54x+51=0\\\\x^2-18x+17=0\\\\x^2-17x-x+17=0\\\\(x-17)(x-1)=0\\\\x=17 $ or $ x=1[/tex]

Hence, for figure 2) the value of the 'x' would be x = 14.

and for figure 3) the value of the 'x' would be x = 17 or x = 1 .

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Related Questions

PLEASE ANSWER FAST
Find the missing values in the table below so that it represents a linear function.





active attachment

Answers

Answer:x=-7

Step-by-step explanation:

X=-7
Hoped this was very useful

Please Help. which of the following set notation describes the shaded region above?

Answers

B) X union Y complement

How should a set notation function be written?

The set of all functions f: X Y is denoted by the following notation: The set of all functions f: X Y is labeled Y X for any sets X and Y. Another helpful example of standard notation is as follows: Notation: The term |X|, or occasionally #X, is used to represent the number of elements in finite sets X.

In the above diagram we can see that the shaded region occupy the x and X ∩ Y so the correct option is B

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If false explain why. |-7| is greater than -7

Answers

Answer:

True

Step-by-step explanation:

|-7| (absolute value) removes the negative sign, and 7 is greater than -7 so the statement is true.

need help on this! thank you in advance!

Answers

The value of the angle x will be equal to 36°.

What is an arc of the circle?

A circle's arc is defined as a portion or segment of its circumference. A chord of a circle is a straight line that can be created by connecting the two ends of an arc. A semicircular arc is one whose length is exactly half that of a circle.

Given that the minor arc is 144. The value of angle x will be calculated by the ratio of the difference between the major arc and the minor arc to the 2.

The angle x will be calculated as,

x = ( Major arc - Minor arc) / 2

x = ( 360-144-144) / 2

x = 72 / 2

x = 36

Therefore, the value of the angle x will be equal to 36°.

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or According to his running log, Zachary averaged 4 miles per week last month and 25% less this month. How much did he average this month?

Answers

Answer:3

Step-by-step explanation:

A step that has a height of 6 inches. A ramp starts 5 feet away from the base of the step,making a 5.7 angle with ground. what can you say about the angle the ramp would make with the ground if the starts closer to the step?

Answers

Considering all the option and the question, We cannot determine anything about the angle is the right answer.

what is angle?

An angle is a geometric shape that is formed by two rays that share a common endpoint, called the vertex.

what is vertex?

The vertex of an angle is the common endpoint of the two rays that form the angle. The vertex is also sometimes called the "corner" of the angle.

It is not possible to determine whether the angle of the ramp will decrease or increase without more information. The angle of the ramp is determined by the slope of the ramp, which is the change in height divided by the change in distance. If the ramp starts closer to the step, it will have a different slope, and therefore a different angle, than if it starts 5 feet away from the base of the step.

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If u + t = 5 and u-t=2, what is the value of
(u-t) (u²-1²)?

Answers

The value based on the given equation is 22.5

What is an equation?

In arithmetic,an equation may be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.

Main body:

According to given info.

u + t = 5        ------(1)

u - t  = 2        ------(2)

adding equation 1, 2  ;we get      

2u = 7

u = 7/2

using value of u in any equation,

7/2 - t = 2

t = 3.5 - 2

t = 1.5

we need to find value of

(u-t) (u²-1²)

(3.5 - 1.5) (3.5² -1²)

2*(12.25 - 1)

2*(11.25)

22.5

Hence the value of the function is 22.5

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Jared also gathered data from a competing real estate broker's office. The competitor's sales were equal to the average
number of sales 8 months before Jared began gathering data and again 2 and 6 months after he began gathering data.
The relative minimum number of sales was lower than the relative minimum number of sales of Jared's office.
Use the sliders for a, b, c, and d to create a graph that could model the competitor's number of sales.

Answers

Real estate is any immovable property of this kind that has a stake in a piece of land, a building, or housing in general. It also includes the natural resources on the land, such as water, crops, minerals, and minerals.

How does this occur?

from a company real estate broker's office. The competitor's sales were equal to the average number of sales 8 months before jured began gathering data and again 2 and 6 months after he began gathering data. The relative minimum number of sales was lower than the relative minimum number of sales of Jared's office.

Use the sliders for a, b, c, and d to create a graph that could model the competitor's number of sales.

Graph is given below in Image.

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George i 89. 99 cm tall. Alex i 72. 44 cm tall. How much taller i George than Alex?

Answers

George is 17.55 cm taller than Alex. By simply subtracting the heights of the two, we get the required change between them.

How to do decimal subtraction?

Decimal subtraction is as similar to normal number subtraction. Here the subtraction starts from the decimals or the digits after the decimal point.

Calculation:

It is given that,

The height of George is 89.99 cm and the height of Alex is 72.44 cm.

Since 89.99 cm > 72.44 cm; George is taller than Alex.

To know how much he is taller, we just simply subtract the height of Alex from the height of George.

I.e., 89.99 cm - 72.44 cm = 17.55 cm

Therefore, George is 17.55 cm taller than Alex.

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(y + 1)^5 divided by (y + 1)^2

Answers

Answer:

(y+1)³

Step-by-step explanation:

(y+1)⁵/(y+1)²

=(y+1)(y+1)(y+1)(y+1)(y+1)/(y+1)(y+1)

=(y+1)(y+1)(y+1)

=(y+1)³✓✓

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle. Y = x2, y = 5 x2 + 4.

Answers

The graph of the equation Y = x² and the 5x² + 4 is attached below.

Equation:

Equation is the combination of variables, numbers and constants.

Given,

Here we have to sketch the region enclosed by the given curves for the equations, Y = x² and Y = 5x² + 4.

Here we have to take some sample value for x to find the value of equations.

And then by using the values, we have to plot the graph through this.

x = -2, -2, 0, 1, 2

Then the corresponding value of y is calculated as,

=> x = -1 => y = 1

=> x = -2 => y = 4

=> x = 0 => y = 0

=> x = 1 => y = 1

=> x = 2 => y = 4

Similarly, the value of Y for the next equation is,

=> x = -2 => y = 24

=> x = -1 => y = 9

=> x = 0 => y = 4

=> x = 1 => y = 9

=> x = 2 => y = 24

Then the graph of the given equation is drawn as.

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6. Find the area bounded by f(x) and the x-axis on the interval [0,pi]
f(x) = sin x + 1

Answers

The area bounded by f(x) =sin x + 1 is 2 + π on the interval [0,pi]

What is a interval?

An interval  is measured in terms of numbers. An interval includes all the numbers that come between two particular numbers. This range includes all the real numbers between those two numbers

Given that:

x-axis on the interval [0,pi]

f(x) = sin x + 1

     = integral 0 - integral π (sin x) dx + integral 0 - integral π (1) dx

     = [- cos π + cos 0] + [π - 0]

     = [-(-1) + 1 ] + π

     = 2 + π

Therefore, the area bounded by f(x) =sin x + 1 is 2 + π on the interval [0,π]

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Given 3 and one-tenth times negative 6 times seven-twelfths, determine the product.

eighteen and one sixtieth
negative eighteen and 7 over 120
ten and 17 over 20
negative 10 and 17 over 20

Answers

The product of the expression [3 + 1/10] (-6 x 7 / 12) is -10 + (17 / 20) = negative 10 and 17 over 20.

What is multiplication?

Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times or 3 is added 2 times.

Given that the expression { 3 + (1/10) } {-6 x (7 / 12) }

Simplifying the expression using PEMDAS,

{ 3 + (1/10) } {-6 x (7 / 12) }

= ( 31 / 10 ) × ( -7 / 2 )

= - 217 / 20

= -10 + (17 / 20)

= negative 10 and 17 over 20

Therefore, the value of the expression [3 + 1/10] (-6 x 7 / 12) is -10 + (17 / 20) = negative 10 and 17 over 20

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Select the correct answer.
Which statement about the inequality 2 1/5< 2 3/5 is true?
A. On the vertical number line, 2 1/2 is located below 2 3/5
B. On the vertical number line, 2
3/5 is located below 2 1/5 C. On the vertical number line, 2 3/5 and 2 1/5 are located at the same point
D. On the vertical number line, 2 1/5 and 2 3/5 are both located
is located below 0

Answers

Answer: A.

Step-by-step explanation: On the vertical number line, 2 1/5 is located below 2 3/5.

To compare the values of 2 1/5 and 2 3/5, you need to first convert them to fractions with a common denominator. For example, you can convert 2 1/5 to a fraction with a denominator of 5 by multiplying the numerator (1) and the denominator (5) by 2: 2 1/5 = (2 * 1)/(2 * 5) = 2/10 = 1/5.

Then, you can add the fractions to get a common denominator: 2 1/5 + 2 3/5 = (2 + 2) + (1/5 + 3/5) = 4 + (4/5) = 4 4/5.

Since 4 4/5 is greater than 4, it follows that 2 3/5 is greater than 2 1/5. Therefore, on the vertical number line, 2 3/5 is located above 2 1/5.

PLSS HELP! I'LL GIVE BRAINLIEST!!

Answers

Answer:

20.625

Step-by-step explanation:

a=− 3263i/24​ + 1/12 ​ ≈0.083333333−2.380111459i, b= 165/8 ​ =20.625

Hope this helps

Answer:

1.1

Step-by-step explanation:

Here is the answer. Have a good day!

the ftoli (fundamental theorem of line integrals) says: (select all correct answers) group of answer choices none of these the work done by a gradient vector field is always zero. the work done by any vector field is independent of path. the line integral of a gradient vector field depends only on the initial and terminal points of the path. the work done by a gradient vector field is independent of path.

Answers

Fundamental Theorem of Line Integral, also called the Gradient theorem, tells us that line integrals through gradient fields are path independent and depend only on the initial and final values. correct answer is option 4 and 5

What does the Line Integrals Fundamental Theorem teach us?

In general, this theorem, like the Fundamental Theorem of Calculus, states that if we integrate a "derivative-like function" (f′ or f), the outcome depends only on the values of the original function (f) at the endpoints.

                       It is referred to be a conservative vector field if a vector field F is the gradient of a function, F=f.

The line integral of a gradient vector field depends only on the initial and terminal points of the path.

The workdone by gradient vector field is independent of path..

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If PS ≅ WX, then PS= WX
F. Reflexive
G. Symmetric
H. Definition of congruent segments
J. Transitive

Answers

The statement is true by the Definition of Congruent Segments, so answer choice H. is correct.

Line segments are one-dimension: length. They do not have width and depth, so as long as the line segments are equal in length, they are congruent by definition.

Mike had $201.58 in his bank account. He paid some bills and now his account balance is -$57.18 Which equation can be used to find x, the amount of his bill payments?
A) 201.58 + x = -57.18
B.) 201.58 - x = -57.18
C.) -201.58 - x = -57.18
D.) 201.58 - x = 57.18

Answers

The equation that can be used to find the amount of bill payments Mike makes, from the $201.58 and the balance in the account of -$57.18, after making the payments is specified in option B.

B.) 201.58 - x = -57.18

What is a mathematical equation?

An equation in mathematics is a mathematical statement that joins two expressions, with an 'equals to' mathematics symbol.

The initial amount in Mike's account = $201.58

The money in Mike's account after paying his bills = -$57.18

The amount of Mike's bill payment = x

Therefore;

The initial amount of money in Mike's account less the amount Mike paid as bills = The amount Mike has remaining in his account (his account balance)

Plugging in the values of the variables, we get;

The initial amount = 201.58

The amount of bill payments Mike makes = x

The balance in the account = -57.18

The equation, by plugging in the values becomes:

201.58 - x = -57.18

The correct option is therefore, option B

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The equation  201.58 - x = -57.18 with option B is the best equation Mike  can used to find the amount of bill payments from his bank account of  $201.58 and that of -$57.18, after making the payments is specified in

How to find the equation of Bank balance?

An equation is a mathematical model stating the equality of two sides.

The given parameters are

The initial balance = $201.58

Balance after paying bills = -$57.18

Mikes payment = x

The equation, by plugging in the values becomes:

201.58 - x = -57.18

The correct option is therefore, option B

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A cyclist travels 24 km from home to the park.
She leaves home at 13:05 and arrives at the park at 13:50.
What is her average speed in km/h?

Answers

Avg Speed = Total Distance/ Total Time

Distance = 24 km
Time = 13:50 - 13:05 = 45 Mins to hours = 0.75

Avg speed = 24/0.75 = 32 km/h

What color is the condensed water, also called condensation, that collects on the inside of the top cup?

Answers

When the coloured water evaporates and condenses on the inside of the top cup, there is no colour in the water on the inside surface of the cup.

As water molecules in the air cool, they slow down and combine into tiny droplets of liquid water. This process is called condensation. This happens when water molecules in the air touch the outside of a cold mug exposed to air.

Water vapour in the air is extracted by several techniques, such as cooling the air below the dew point, exposing the air to a desiccant, using membranes that allow only water vapour to pass, collecting the mist, or pressurizing the air. I can do it.

Common examples are water forming on the outside of a cold mug, or moisture forming on a car window on a cool night.

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Lin family travels 235 miles to reach her grandmothers.how far have they traveled when they have completed 72% of the trip distance.I’m so stuck I can’t figure out

Answers

Answer:

72% of the trip is 169.2 miles

Step-by-step explanation:

[tex]\frac{235}{100} =\frac{y}{72}[/tex]

y · 100 = 235 · 72

100y = 16920

100y ÷ 100 = 16920 ÷ 100

y = 169.2

Find the slope of each line.
66) pls answer

Answers

Answer: The slope is 5/6

Answer:

5/6

Step-by-step explanation:

Without graphing, answer the questions for the system of equations below.
2x+y = 7
x+6y= 30
Are the graphs of the given equations identical lines, parallel lines, or lines intersecting at a single point?
Identical lines
Parallel lines
Intersecting lines

Answers

Answer:

intercepting lines

I’m confused on this question

Answers

The adjacents angles are ∠ RTL and ∠ ETL, The obtuse vertical angles are ∠ RTL and ∠ STE, the two supplementary angles are ∠ NTE and

∠ NTR and angles supplementary to ∠ RTS is ∠ RTL

What are angles?

The two rays intersecting at a common point makes an angle.

Given is a figure,

Adjacent Angels =

The angles having one arm in common are called adjacent angles.

Here, adjacents angles are ∠ RTL and ∠ ETL

Vertical angles =

A pair of angles that have the same vertex and are on opposite sides of two intersecting rays makes Vertical angles

Here, vertical angles are ∠ RTL and ∠ STE

Supplementary angles =

When the sum of two angles is 180°, then they are supplementary angles.

Here, supplementary angles are ∠ NTE and ∠ NTR

We see that, the angle supplement to ∠ RTS is ∠ RTL

Hence, the correct answers are, adjacents angles = ∠ RTL and ∠ ETL, The obtuse vertical angles = ∠ RTL and ∠ STE, the two supplementary angles = ∠ NTE and ∠ NTR and angles supplementary to ∠ RTS is ∠ RTL

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Kai has a rope that is meter long. Kai cuts off a piece that is meters long. How long, in meters, is the piece of rope after he cuts it?​

Answers

Answer: The answer is a meter or nothing, It depends on the answer you want

Step-by-step explanation:

If he has a rope that is a meter long, but then he takes that meter, he still has a meter, but if you plan on throwing that meter away, then you would have nothing

the radius of a spherical watermelon is growing at a constant rate of 2 centimeters per week. the thickness of the rind is always one tenth of the radius. the volume of the rind is growing at the rate cubic centimeters per week at the end of the fifth week. assume that the radius is initially zero.

Answers

The volume of a sphere is V = 4/3 x pi x r^3 .

What is unitary method ?

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Tw dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.

According to our question-

V' equals (4 pi x r' x r'2) (4 pi x (.9 3) x r2 x r')

This equation expresses how quickly the rind volume changes over time.

As stated in the issue, r' = 2.

Additionally, the radius will be r = 2 * 5 = 10 after 5 weeks.

V' equals (4 pi x 102 x 2) (Pi x (.93) x 10 x 2) = -

V' is equal to (800 pi) - (800 pi x (.729)).

V' = (800 x pi) (1 - .729) (1 - .729)

V' = (800 x pi)(.271) (.271)

681.09 cubic centimeters make up V'.

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Please Hurry
Complete the algebraic proof by identifying the reason for each statement.

Answers

In mathematics is an expression which is made up of variables and constants, along with algebraic operations

What is algebra explain with example?Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions. In algebra, we use numbers like 2, −7, 0.068 etc., which have a definite or fixed value. In algebra we use variables like x, y, and z along with numbers.An algebraic equation is a mathematical sentence, when two algebraic expressions are related with an equality sign (=). For example, 3x+6 = 1 is an algebraic equation.Algebra is divided into different sub-branches such as elementary algebra, advanced algebra, abstract algebra, linear algebra, and commutative algebra.There are many laws which govern the order in which you perform operations in arithmetic and in algebra. The three most widely discussed are the Commutative, Associative, and Distributive Laws.Commutative Rule of Addition.Commutative Rule of Multiplication.Associative Rule of Addition.Associative Rule of Multiplication.Distributive Rule of Multiplication.

x = 1

3(5x+1) = 13x + 5

3(5x) + 3(1)

15x + 3 = 13x + 5        

-13x         -13x

2x + 3 = 5

 __-3__-3____

2x = 2

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Please help me:
find M∠T explain your reasoning​

Answers

Answer:  65 degrees

Explanation:

Angle R = angle A = 41 since both angles involve a single arc marking.

Angle S = angle B = 74, both involve a double arc

For any triangle, the inside angles always add to 180 degrees.

R+S+T = 180

41+74+T = 180

115+T = 180

T = 180-115

T = 65

I need help to solve this!​

Answers

Answer:

C. neither B. exponential

Step-by-step explanation:

You want to know the nature of the sequences ...

1, 4, 9, 161/3, 1, 3, 9, 27

Differences

To determine if a sequence is linear, you look at the differences between terms. If they are all the same, then the sequence is linear.

Here, the differences are ...

3, 5, 72/3, 2, 6, 18

Neither sequence is linear

Common factor

A sequence that is exponential will have adjacent terms with the same ratio.

Here, the ratios are ...

4/1, 9/4, 16/93, 3, 3, 3

The first sequence is not exponential. The second sequence is.

The sequences can be characterized as ...

neitherexponential

__

Additional comment

You may have noticed that the differences of the first sequence have a common difference of 2. This constant 2nd difference means the sequence can be described by a 2nd-degree (quadratic) polynomial. In fact, each term is the square of its term number.

A point at (−3,−2) is transformed in two steps.

It is reflected about y = x.
It is translated 3 units right and 2 units up.
What is the location of the transformed point?

Answers

The location of the transformed point will be at the coordinate (0,4).

What is translation?

In mathematics, a translation moves a shape left, right, up, or down but does not turn it. The translated (or picture) shapes appear to be the same size as the original shape, showing that they are congruent. They've just moved in one or more directions.

Given that a point at (−3,−2) is transformed in two steps. It is reflected in y = x. It is translated as 3 units right and 2 units up.

The translated point will be,

(−3,−2) ⇒ (-3,2)

Translation of the point,

(-3,2) ⇒ (-3+3, 2+2) ⇒(0,4)

Therefore, the location of the transformed point will be at the coordinate (0,4).

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