Are the triangles similar?

Refer to the images attached.

Answer:

[tex]x=3, x=\frac{17}{4}[/tex]

Step-by-step explanation:

The side opposite to the length of 20 is 7x - 11, whereas the side opposite to an unknown length is 4x - 2. To solve this unknown length, we are given 35 as the total length, so we can do 35-20 = 15, which is the opposite of the length of 4x-2.

Since we know the opposite sides of each side, we can set up these equations since we notice that the lengths are parallel based on what is diagrammed:

[tex]7x-11=20[/tex]

[tex]4x-2=15[/tex]

Now, let's solve for x in [tex]7x-11=20[/tex]:

[tex]7x-11=20[/tex]

[tex]7x=20+11\\7x=21\\x=3[/tex]

Let's solve for x in [tex]4x-2=15[/tex]:

[tex]4x-2=15[/tex]

[tex]4x=15+2\\4x=17\\x=\frac{17}{4}[/tex]

The conversion factor for converting ounces ( oz) to grams ( g) is 28.3495. Thus, the conversion of one ounce to grams is equals to the 28.3495 g.

In order to convert from one unit to the other, we multiply by the conversion factor. One ounce is approximately equal to 28.3495 grams. Ounce is one of the imperial units of mass, while gram is one of the metric units of mass. Thus to convert from ounces to grams, it is required to multiply the ounce-value by 28.3495. Conversly, if we want to convert from grams to ounces, we need to divide the gram-value by 28.3495. For example, if we want to convert x ounces to grams, we would follow the following steps:

Now, we have to convert 1 ounces to grams. That is x = 1 ounces then final result of conversion is

28.3495×1 = 28.3495 grams. Hence, required value is 28.3495 grams.

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To convert mcg to mg, divide the mcg value by 1000. Therefore:

1000 mcg = 1000/1000 mg = 1 mg

So, 1000 mcg is equal to 1 mg.



The number 25 can be represented as a decimal by simply writing it as 25.0 or 25.00

The number 25 can be represented as a decimal by simply writing it as 25.0 or 25.00. This is because decimal notation is a way of writing numbers that uses a decimal point to separate the whole number part from the fractional part.

In this case, since 25 is a whole number and has no fractional part, we can represent it in decimal form by adding a decimal point and a zero or two zeros after it to indicate that there are no decimal places.

Alternatively, we can also represent 25 as a decimal by dividing it by 1, which does not change its value, and then expressing the quotient as a decimal. Since 25 divided by 1 equals 25, we can write 25 as a decimal by dividing 25 by 1 and writing the quotient as follows:

25 ÷ 1 = 25.000000... (with the decimal places repeating indefinitely)

However, in most cases, it is sufficient to represent 25 as 25.0 or 25.00, since these notations convey that the number has no fractional part.

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500 minutes are equal to 8 hours and 20 minutes.

Time is a valuable commodity that we must use wisely. We measure it in seconds, minutes, hours, days, weeks, months, and years. It is important to be able to convert time units so that we can manage our schedule efficiently.

To convert minutes to hours, we need to divide the number of minutes by 60, which is the number of minutes in an hour. Therefore,

500 minutes ÷ 60 minutes/hour = 8.33 hours

However, this answer is in decimal form, which is not a typical way to represent time. We want to express it in hours and minutes.

To do so, we will use the fact that there are 60 minutes in an hour. Therefore, we can multiply the decimal part of the answer by 60 to get the remaining minutes.

0.33 hours x 60 minutes/hour = 20 minutes

So, 500 minutes is equivalent to 8 hours and 20 minutes.

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Answer: 2016

Step-by-step explanation: Since you need to find the area of everything u need to multiply it all h*ft*w (height*width*wide) so 18*14*8=2016

Answer:

1. the three sides to a right triangle is hypotenuse, opposite, and adjacent.

2. If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

Step-by-step explanation:

hope this helped!!! <3

The perimeter of the trapezoid is 100

We would have to solve for the perimeter of the trapezoid.

The perimeter p = sum of the four sides = a + b + c+ d

from the question we have

2 (2x + 8) = 7x - 2

4x + 16 = 7x - 2

- 3x = -16 - 2

x = 6

EF = 2x + 8

= 2(6) + 8

= 12 + 8

= 20

AB = 7x - 2

= 42 - 2

= 40

AE = 1/2AC = 1/2AB = 20

BF = 1/2 CB = 1/2 AB = 20

The perimeter would be

20 + 20 + 20 + 40

= 100

The perimeter = 100

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The measure of angle x in the isosceles triangle is 40 degrees.

Let's call the two congruent sides of the isosceles triangle "a" and the remaining side "b". Since the angle opposite one of the congruent sides (let's call it "a") is 70 degrees, the other angle opposite "a" must also be 70 degrees due to the property of isosceles triangles. Let's call this angle "y".

So we have two angles that add up to 140 degrees (70 + 70 = 140). We also know that the sum of the angles in any triangle is always 180 degrees. Therefore, we can find the measure of angle "x" as follows:

x + y + 70 = 180

Substituting y = 70, we get:

x + 70 + 70 = 180

Simplifying the equation, we get:

x + 140 = 180

Subtracting 140 from both sides, we get:

x = 40

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The given question is incomplete, the complete question is :

The angles opposite the congruent sides of an isosceles triangle are congruent. find the value of x in the triangle. show all your work.

The solution to the equation −3 + 5a = 4a − 10 is a = -7.  

First, we will start by subtracting 5a from both sides of the equation. This is the inverse operation of adding 5a to both sides. By subtracting 5a, the left side of the equation becomes -3 and the right side of the equation becomes -10.

=>−3 + 5a -5a = 4a - 5a − 10

=> -3 = -a - 10

So, we will add 3 to both sides of the equation. This will make the left side of the equation 0, and the right side of the equation -7.

=> -a = 7

Now that the equation reads a = -7, we can use the inverse operation of multiplication, which is division, to get the variable a on one side of the equation and the numbers on the other side.

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Complete Question:

Equations w/ variable on both sides Solve each equation.

1) −3 + 5a = 4a − 10

Answer:

$0.24 per m

Step-by-step explanation:

The formula to convert from milligrams to milliliters is mL = mg/1000 because there must be 1,000 milligrams in a milliliter.

Whereas a milligram (mg) is a unit of mass, a millimeter (mm) is a unit of length. There is no direct translation between these two units since they measure distinct things.

The mass in milligrams of a volume of a given substance with all dimensions equal to 1 millimeter can, however, be determined if you are requesting information on a specific substance and its density.

Given that there are 1000 cubic millimeters (mm3) in one cubic centimeter, if the material in question does have a density of 1 gram per cubic centimeter (g/cm3), for instance, a 1 mm3 volume of the material would have a mass of 1 milligram (mg).

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Least squares regression makes the sum of the squared prediction errors as small as possible.

By minimizing the sum of the squared variances among the predicted values of the dependent variable and the actual values, least squares regression is a technique used to determine the line or curve that best fits the connection between two variables. A measure of how well a regression line or curve matches the observed data is the sum of squared prediction errors.

It is determined by adding up the squared discrepancies between each observation's actual and anticipated values for the dependent variable. Finding the line or curve that minimises this sum of squared prediction errors is the objective of least squares regression. The least squares regression line offers the best estimate of the relationship among two variables under consideration by minimising the sum of squared prediction errors. So, because it can aid in locating trends, patterns, and connections between variables in a dataset, least squares regression is frequently employed in statistical modelling and data analysis.

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The maximum distance as function of the quantity of gallons of gasoline the required expression is: x = 0.2272 . n

Distances between two things or places can sometimes be measured qualitatively and sometimes quantitatively. A physical length or an estimate based on other criteria might be referred to as distance in physics or everyday language. The entire movement of an item, independent of direction, is called distance. No matter where an item starts or ends, distance may be described as the amount of ground it has covered.

The maximum distance as function of the quantity of gallons of gasoline is estimated by the following linear model:

x = (14,430 km / 63500 gallons) . n

Finally, the required expression is:

x = 0.2272 . n

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The equation that could be solved to get the same answer is B 5(x+23)=44.5

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

WE are given that Julia correctly solved a math problem by first dividing 44.5 by 5, then subtracting 23 from the answer.

First;

44.5 /5 = 8.9

Then subtracting 23 from it

8.9 - 23

= 14.1

Therefore, we can write as 5(x+23)=44.5

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A rational number is a number that can be expressed as the ratio of two integers, where the denominator is not zero.

A normal number is a number that can be communicated as the proportion of two whole numbers, where the denominator isn't equivalent to nothing. This implies that a normal number can be written in the structure p/q, where p and q are numbers and q isn't equivalent to nothing.

For instance, 3/4, 7/2, and - 5/6 are instances of normal numbers. Be that as it may, numbers like pi (π) and the square foundation of 2 (√2) are not objective, since they can't be communicated as a proportion of two numbers.

Normal numbers are significant in math, as they structure a subset of the genuine numbers and can be utilized to address amounts in a wide range of settings, like portions, proportions, and probabilities. They are additionally utilized broadly in polynomial math, where they structure the reason for tackling conditions and controlling articulations.

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The area of the trapezoid ABCD in square inches would be = 80in² . That is option B.

The formula that can be used to calculate the area of the trapezium = ½ (a+b) ×h

Where a = line ED = 14

b = line AD = 14+4 = 18

height = area of rectangle / width

= 70/14 = 5in

Therefore the area of trapezium ;

= 1/2 ( 14+18)× 5

= 160/2

= 80in²

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Answer:

9.5 in

Step-by-step explanation:

in order to calculate the area of the triangle, you are required to times the base with height and divide it by 2.

For this instance, 6.8 in X (unknown base) / 2 = 32.30

So what you need to do is times the 32.3 by 2 to get 64.6

Then divide the 64.6 by 6.8 to get the base

WHICH GETS YOU 9.5

hope this helps

Answer: y = 0.1x^2 - 0.8x + 1.2

hope this helped

Answer:

To simplify 5x(12+7) using distributive property, we can distribute the 5x to each term inside the parentheses, which means multiplying 5x by 12 and by 7, and then adding the two resulting products. This is because the distributive property states that:

Step-by-step explanation:

= 95

The distributive property states that for any real numbers a, b, and c,

a × (b + c) = a × b + a × c.

5x(12+7) using distributive property

5x(12) + 5x(7)

60 + 35

95

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Answer:

y = (1/3)x - 4

Step-by-step explanation:

put y on one side

x -3y =12

y =12-x/-3

y=12/-3 -x/-3

y=-4 + 1/3x

chatgpt

The least common denominator is [tex](x^2-3x-4)/(x-4)(x+1) + (x^2-6x+8)/(x-4)(x-2) = 2/(x-4)(x+1)(x-2)[/tex]

Simply put, a rational expression is the product of two polynomials. Or to put it another way, it is a fraction using polynomials as the numerator and denominator.

Reasonable expressions resemble fractions with variable denominators (and often numerators too).

For rational expressions, any value can be entered with the exception of those that set the denominator to 0 (because division by 0 is an undefinable operation).

In other words, all real numbers other than those that make a rational expression's denominator zero are included in the domain of a rational expression.

[tex]x^2-3x-4 = (x-4)(x+1)\\x^2-6x+8 = (x-4)(x-2)[/tex]

The least common denominator is: [tex](x-4)(x+1)(x-2)[/tex]

To add these two rational expressions, we need to rewrite each of them with the LCD as the denominator:

[tex](x^2-3x-4)/(x-4)(x+1) = [(x-4)(x+1)]/(x-4)(x+1)(x-2) = 1/(x-2)\\(x^2-6x+8)/(x-4)(x-2) = [(x-4)(x-2)]/(x-4)(x+1)(x-2) = 1/(x+1)[/tex]

So the sum of the numerators is 1 + 1 = 2.

Therefore,[tex](x^2-3x-4)/(x-4)(x+1) + (x^2-6x+8)/(x-4)(x-2) = 2/(x-4)(x+1)(x-2)[/tex]

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Answer:

Step-by-step explanation:

An equilateral right-angled triangle is impossible to draw. Equilateral means all the sides measure the exact same length. In a right triangle, by definition, the hypotenuse is longer than either of the other sides. so the last choice is the one you want.

Answer:

an equilateral right triangle cannot exist, all angles are 60° and therefore NOT right

Step-by-step explanation:

an equilateral right triangle cannot exist, all angles are 60° and therefore NOT right

To calculate the value of "600 decreased by 20%", we can multiply 600 by 0.8:

600 × 0.8 = 480

To calculate "600 decreased by 20% and then increased by 20% of the result", we need to multiply 480 by 1.2:

480 × 1.2 = 576

Therefore, 600 decreased by 20% and then increased by 20% of the result is 576.

To find out which number is greater and by how much, we can subtract 576 from 600:

600 - 576 = 24

So, 600 is greater than 600 decreased by 20% and then increased by 20% of the result, by 24.

If the circumference is, for example, 18π units, then the diameter would be 3π units.

What is the circumference of the circle?

The circumference of a circle is the distance around the outside of the circle. It is like the perimeter of other shapes like squares. You can think of it as the line that defines the shape.

If one measurement of a circle is about 6 times another measurement, we can express this relationship mathematically as:

L = 6R

where L is the larger measurement (such as the circumference or the diameter) and R is the smaller measurement (such as the radius).

To solve for R, we can divide both sides of the equation by 6:

L/6 = R

So the smaller measurement, R, is equal to the larger measurement, L, divided by 6.

For example, if the circumference of a circle is about 6 times its diameter, we can use the formula for the circumference of a circle, C = πd, where d is the diameter:

C = πd

6d = πd (since C is about 6 times d)

6d/d = πd/d (dividing both sides by d)

6 = π

So the ratio of the circumference to the diameter of this circle is 6:1, which is approximately equal to the value of π. In this case, the diameter is the smaller measurement and the circumference is about 6 times the diameter. To find the diameter, we can divide the circumference by 6:

d = C/6

Hence, if the circumference is, for example, 18π units, then the diameter would be 3π units.

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Answer:

m∠FED = 80°

Step-by-step explanation:

Answer:

Step-by-step explanation:

B vertex