help me and say how you did it plsss

Answer:

44º

we know the angle measures of angles G and F; they match up with angles L and M meaning angle K is congruent to angle E

The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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The bank teller has 21 five-dollar bills.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let's represent the number of five-dollar bills "x". Then, the number of twenty-dollar bills would be "x + 10".

The total value of the money is $725, so we can write the equation:

5x + 20(x + 10) = 725

Expanding the second term and simplifying, we get:

5x + 20x + 200 = 725

Combining like terms, we get:

25x = 525

Dividing both sides by 25, we get:

x = 21

So, the teller has 21 five-dollar bills.

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Answer:

3:5.7

Step-by-step explanation:

please Mark me as

Answer:

its not a accurate questions

cant be answered

Step-by-step explanation:

Answer:

AB is not a tangent. The lengths 4, 12, and 13 do not form a right triangle.

√(4^2 + 12^2) = √160, which is not equal to 13.

Answer:

No

Step-by-step explanation:

if AB is a tangent the the angle BAC = 90°

using Pythagoras' theorem

then square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

BC² = 13² = 169

AB² + AC² = 12² + 4² = 144 + 16 = 160

since BC²≠ AB² + AC²

then Δ ABC is not a right triangle so AB is not a tangent

The derivative formula for the division of two functions is equal to d [θ(x)] / dx = [g(x) · f'(x) - f(x) · g'(x)] / [g(x)]², where θ(x) = f(x) / g(x).

In this problem we need to derive the formula for the derivative of the division of two functions, that is, the expression θ(x) = f(x) / g(x). First, we write the definition of the derivative for the given expression:

\(\frac{d}{dx} [\theta (x)] = \lim_{h \to 0} \frac{\theta(x + h) - \theta (x)}{h}\)

Second, substitute and expand the expression by algebra properties:

\(\frac{d}{dx} [\theta (x)] = \lim_{h \to 0} \frac{\frac{f(x + h)}{g(x + h)} - \frac{f(x)}{g(x)} }{h}\)

\(\frac{d}{dx}[\theta (x)] = \lim_{h \to 0} \frac{f(x + h) \cdot g(x) - f(x) \cdot g(x + h)}{h\cdot g(x + h)\cdot g(x)}\)

Third, expand and simplify the expression one more time by algebra properties and limit properties:

\(\frac{d}{dx} [\theta (x)] = \lim_{h \to 0} \frac{f(x + h) \cdot g(x) - f(x) \cdot g(x) + g(x) \cdot f(x) -f(x) \cdot g(x + h)}{h \cdot g(x + h) \cdot g(x)}\)

\(\frac{d}{dx}[\theta (x)] = \lim_{h \to 0} g(x) \cdot \frac{f(x + h) - f(x)}{h\cdot g(x+h)\cdot g(x)} - \lim_{h \to 0} f(x) \cdot \frac{g(x + h) - g(x)}{h\cdot g(x+h)\cdot g(x)}\)

\(\frac{d}{dx}[\theta (x)] = \lim_{h \to 0} \frac{g(x)}{g(x + h) \cdot g(x)} \cdot \lim_{h \to 0} \frac{f(x + h) - f(x)}{h} - \lim_{h \to 0} \frac{f(x)}{g(x+ h) \cdot g(x)} \cdot \lim_{h \to 0} \cdot \frac{g(x + h) - g(x)}{h}\)

Fourth, simplify the resulting expression by evaluating the limits:

d [θ(x)] / dx = [g(x) / [g(x)]²] · f'(x) - [f(x) / [g(x)]²] · g'(x)

d [θ(x)] / dx = [g(x) · f'(x) - f(x) · g'(x)] / [g(x)]²

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Answer:

<FH

Step-by-step explanation:

The reason why is because FH is a line and everything else includes G, this answer does not.

Answer: $159.90

Step-by-step explanation:

Assigning a variable: V=Vegetable seeds   F=Flower seeds   T=Top soil

Assigning a value to each variable: V=1.5   F=2.2   T=12.1

The equation:

v(12)+f(15)+t(9)=

1.5(12)+2.2(15)+12.1(9)=

1.5*12=18   2.2*15=33   12.1*9=108.9

18+33+108.9=159.9

Total cost = $159.90

Hope this helps!

Answer:

r = 20

Step-by-step explanation:

4r - 5 + 105 = 180

4r + 100 = 180

4r = 80

r = 20

The length of the arc of the circle will be 19.8 ft.

The arc of the circle is the distance of the circumference of the circle formed sector of the circle at a particular angle.

The formula for the length of the arc of the circle will be given as:-

Arc = Angle x radius

We have Angle = 1.1 radians Radius = 18ft

Arc = 1.1 x 18

Arc = 19.8 ft.

Therefore the length of the arc of the circle will be 19.8 ft.

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Answer:

when x=-9, y=1

Step-by-step explanation:

the graph shows when the x is at -9, the y is at 1

Answer:

$450-200÷5=the number of reams of paper Susie purchased.

Step-by-step explanation:

$450-$200=$250

$250÷5= 50

Therefore, Susie purchased 50 reams of paper

Answer:

The problem is clearly solved in the attachment

After cοmpleting the task, we can state that The whοle number clοsest tο  expressiοn 7.141 is 7. Therefοre, √51 is clοsest tο the whοle number 7.

The whοle numbers are the part οf the number system which includes all the pοsitive integers frοm 0 tο infinity. These numbers exist in the number line. Hence, they are all real numbers. We can say, all the whοle numbers are real numbers, but nοt all the real numbers are whοle numbers.

Thus, we can define whοle numbers as the set οf natural numbers and 0. Integers are the set οf whοle numbers and negative οf natural numbers. Hence, integers include bοth pοsitive and negative numbers including 0. Real numbers are the set οf all these types οf numbers, i.e., natural numbers, whοle numbers, integers and fractiοns.

√51 is apprοximately equal tο 7.141. The whοle number clοsest tο 7.141 is 7.

Therefοre, √51 is clοsest tο the whοle number 7.

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The statement that " Homogeneous equation Ax = 0 has trivial solution if it has at least 1 free variable"  is FALSE .

For a system of Linear Equations, a free variable is a variable which can take any value, whereas

the Leading Variable is a variable which is determined by the values of the free variables.  

The presence of a free variable means that existence of a non trivial solution to Ax = 0  because a free variable corresponds to a column of A that does not contain a pivot position in the corresponding row of [A|0].

So , the corresponding variable can be set to any non zero value, which gives a non trivial solution to Ax = 0.

Therefore, we can conclude that the homogeneous equation Ax = 0 has the trivial solution if and only if the equation has no free variables.

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The given question is incomplete , the complete question is

The homogeneous equation Ax = 0 has the trivial solution if and only if the equation has at least one free variable. True or False ?

Answer:

20 m

Step-by-step explanation:

Given that :

Scale of 1 : 50 is used to make a model

If the model has a height of 40 cm ; the height of the house is:

Then, the actual height of the house is (40 * 50) = 2000 cm

Thus the height of the house in metre is :

100cm = 1 meter

2000 cm = 2000 / 100

2000 cm = 20 meter

Height of house in meter = 20 meter

The translation in the form (x,y) is  (-3, -10)

In geometry, translation is a type of transformation that moves each point of a figure to a new location, while preserving the shape and size of the figure. A translation is defined by a displacement vector, which specifies the direction and magnitude of the movement.

T is the initial position of the object and T' is the image (new position) of the object after translation. We can use this equation:

T + translation = T'

translation = T' - T

translation = (6, -2) - (9, 8)

translation = (6-9, -2-8)

translation = (-3, -10)

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Answer:

56

Step-by-step explanation:

9-6=3

12 divided by 3 is 4

4x6=24

24+4=28

Do the same to the other side and you get 28

28+28=56

Hope it’s right

ANSWER:

b. 32.70531 square inches

STEP-BY-STEP EXPLANATION:

We know the length of the side of polygon A, so we calculate the length of the other sides, knowing their relation to the perimeter.

Polygon C = 1 inch

Polygon A = 4 * 1 inches = 4 inches

Polygon B = 1/2 * 4 inches = 2 inches

The area of the heptagon is calculated using the formula:

We obtain this area from the following:

By means of trigonometric ratios we obtain the formula.

We use the formula to calculate the Area of each polygon, like this:

We calculate the differences between the areas of A and B and then the difference between the areas of B and C, and finally the difference between the areas obtained

Therefore, the correct answer is b. 32.70531 square inches

Nathaniel drinks 3 glasses of water in one hour.

To find out how many glasses of water Nathaniel drinks in one hour, we need to calculate his drinking rate per hour.

In 2 2/5 hours, Nathaniel drinks 4/5 of a 10-ounce glass of water.

Let's convert the mixed number of hours to an improper fraction:

\(2\frac{2}{5} = \frac{(5 \times2 + 2)}{5}\)

\(=\frac{12}{5}\)

Now, we can set up a proportion to find his drinking rate per hour.

We know that \(\frac{12}{5}\) hours corresponds to \(\frac{4}{5}\) of a glass of water.

Let's assign "x" as the number of glasses he drinks in one hour.

The proportion is then

\(\frac{(\frac{12}{5} hours) }{(x glasses) } =\frac{(\frac{4}{5} glass)}{(1 hour)}\)

Cross-multiplying gives us

\((\frac{12}{5} )\times1=\frac{4}{5}\times(x)\)

Simplifying, we get

\(\frac{12}{5} =\frac{4}{5}\times x\)

Dividing both sides by \(\frac{4}{5}\), we find x:

\(x=\frac{(\frac{12}{5} )}{\frac{4}{5} }\)

\(x=\frac{12}{4}\)

\(x = 3.\)

Therefore, Nathaniel drinks 3 glasses of water in one hour.

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The solution set of f(x) > 0 is x ∈ (-2, 8).

To find the solution set of f(x) > 0, we need to first determine the critical values of x where f(x) changes sign.

Let's start by finding the domain of the function:

x² - 6x - 16 ≠ 0

We can solve for x by using the quadratic formula:

x = [6 ± √(6² + 4(16))]/2 = [6 ± √52]/2 = 3 ± √13

So the domain of f(x) is (-∞, 3 - √13) U (3 + √13, ∞).

Now let's factor the numerator and denominator of f(x):

f(x) = (x + 10)/[(x - 8)(x + 2)]

The critical points occur where the numerator or denominator of f(x) changes sign.

The numerator changes sign at x = -10, and the denominator changes sign at x = -2 and x = 8.

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well, the profit is clearly just 490 - 350 = 140.

Now, if we take 350(origin amount) to be the 100%, what is 140 off of it in percentage?

\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} 350 & 100\\ 140& x \end{array} \implies \cfrac{350}{140}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{5}{2} ~~=~~ \cfrac{100}{x}\implies 5x=200\implies x=\cfrac{200}{5}\implies x=40\)

The inequality states that Jayda's age (j) is greater than 12 i.e., j > 12.

Let j represent Jayda's age.

Since Jayda is older than her 12-year-old sister, we can write the inequality:

j > 12

Thus, the inequality states that Jayda's age (j) is greater than 12.

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Answer:

The cost of the t-shirt would be $19.20 with a 20% discount and the amount discounted is $4.80

Step-by-step explanation:

24*0.8 = $19.20

Answer:

Step-by-step explanation:

The discount is:

price × discount

We can substitute the discount of 20% for 0.2 and multiply to find the amount of money taken away which gives us the remaining amount or the amount you pay.

$19.20

Answer:

z=2

Step-by-step explanation:

We are given that a line has a slope of 3.

The line passes through the points (-10, z) and (-8, 8)

We want to find the value of z.

To do that, we can calculate the slope.

The slope can be calculated using the formula \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1, y_1)\) and \((x_2, y_2)\) are points

Even though we already have 2 points, let's label their values to avoid any confusion.

\(x_1=-10\\y_1=z\\x_2=-8\\y_2=8\)

Now substitute those values into the formula, and set it equal to 3. Remember that the formula uses subtraction.

\(\frac{8-z}{-8--10}\) = 3

We can simplify this first.

\(\frac{8-z}{-8+10}\) = 3

\(\frac{8-z}{2}\) = 3

We can multiply both sides by 2 to clear the fraction and make it easier to calculate.

2(\(\frac{8-z}{2}\))  = 2(3)

Multiply.

8 - z = 6

Subtract 8 from both sides

-z = - 2

Multiply both sides by -1.

-1(-z) = -1(-2)

Multiply.

z = 2

The relation between 'x' and 'y' will be y = -(3/10)x. Then the value of the variable 'y' at x = -1 will be 3/10.

A proportion is a gathering of consecutively requested numbers an and b communicated as a/b, where b is never equivalent to nothing. At the point when two items are equivalent, a proclamation is supposed to correspond.

The variable 'y' is directly proportional to the 'x'. Then the equation is given as,

y ∝ x

y = kx

At x = - 3 and y = 10, then the value of the constant 'k' is calculated as,

-3 = k(10)

k = - 3/10

Then the equation is written as,

y = -(3/10)x

At x = - 1, then the value of the variable 'y' is calculated as,

y = - (3/10) (-1)

y = 3/10

The connection between 'x' and 'y' can't avoid being y = - (3/10)x. Then, at that point, the worth of the variable 'y' at x = - 1 will be 3/10.

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Answer:

1. similar

2. different

3, 2/5

Answer:

Where is the picture?

Step-by-step explanation:

Have a great day

Answer:

24.6 degrees.

Step-by-step explanation:

To find the degree measure of the radians in a right triangle with hypotenuse = 7 and opposite = 3, we need to use trigonometric ratios. Since the opposite and hypotenuse are given, we can use the sine ratio.

sin(θ) = opposite/hypotenuse

sin(θ) = 3/7

Now we need to find the angle measure θ. We need to use the inverse sine or arcsine function to do this.

θ = sin^-1(3/7)

θ ≈ 0.429 radians

To find the degree measure, we must convert radians to degrees by multiplying by 180/π.

θ ≈ 0.429 x 180/π

θ ≈ 24.6 degrees

Therefore, the degree measure of the radians in the given triangle is approximately 24.6 degrees.