The hanger image below represents a balanced equation.

Write an equation to represent the image.​

Answer:

X:6.7

Y:17

Z:33

Step-by-step explanation:

Because their similar to each other, the corresponding angles are equal.

5y-3=82

5y=85

y=17

Angle J=angle M=z=180-82-65=33

3x-2=18.1

3x=20.1

x=6.7

Answer:

x = 6.7

y = 17

z = 33°

Step-by-step explanation:

To find x:

Because IJK≅LMN, you know that 3x-2 = 18.1

3x-2 = 18.1

Add 2 to both sides:

3x-2+2 = 18.1+2

3x = 20.1

Divide both sides by 3:

3x/3 = 20.1/3

x = 6.7

To find y:

5y-3 = 82

Add 3 to both sides:

5y-3+3 = 82+3

5y = 85

Divide both sides by 5:

5y/5 = 85/5

y = 17

To find z:

Because all triangles angles must add up to 180, find 180-82-65:

180-82-65 = 33 degrees

Because IJK≅LMN, z = 33 degrees

The correct expression to represent the similarity of these two triangles is,

21/35 = x/30.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know two triangles are similar if the ratio of their corresponding sides is equal.

Therefore, The correct way to represent the similarity is,

21/35 = x/30.

We can solve for x here,

35x = 21×30.

5x = 3×30.

x = 3×6.

x = 18.

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Answer:

46

Step-by-step explanation:

Answer:

2n^2-8n-24

Step-by-step explanation:

Uhm i just did this one with one of my classmates like 2-3 months ago so it just came to mind.

Hope this helped tho! :)

The Construction is shown below.

Perpendicular lines are lines that intersect at a right (90 degrees) angle.

Given:

a) Steps for perpendicular line:

b) Perpendicular Bisector for triangle

So, if we extend the bisector they can meet inside, at center and outside the triangle.

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Answer: if its 87% then its 0.87, but if its 87 then its 87.00

Step-by-step explanation: I'm doing these questions for a challenge :D

$855.78

Interest, in this context, is the amount of money a saving account can earn over time.

Compound Interest Formula

There are 2 types of interest: simple and compound. For this question, we are going to use the compound interest formula. This formula is [tex]A = P(1+\frac{r}{n})^{nt}[/tex]. As stated in the question, A is the total balance, P is the principal, r is the interest rate, n is how often the interest is compounded, and t is time.

Variables

The values of these variables for this question are as follows:

The principal is the initial amount, and the question states that the account starts at 300 dollars.

The question says the interest rate is 14%, so we can convert this to the decimal 0.14.

If something is compounded annually, it is compounded once a year, so n must be 1.

If we want to find the balance after 8 years, we should set t equal to 8.

Solving for A

To find A, all we have to do is plug the variables into the formula.

This can be rewritten as:

Solve this to find that A ≈ 855.78. After 8 years, the balance will be $855.78.

Answer:

Surface Area = 2(22 x 15) + 2(12 x 15) + 2(22 x 12)

Surface Area = 660 + 360 + 528

Surface Area = 1,548 inches²

Step-by-step explanation:

The 10 represent in the function f(x) = 10(1. 015)* shows the balance in a savings account as time increases is the starting balance of the savings account.

Therefore the answer is D) The starting balance of the savings account.

The compound interest formula is used to calculate the total interest earned on a principal amount over a period of time, where the interest is compounded at regular intervals. The formula is:

A = P(1 + r)^(t)

Where:

A is the final amount (principal + interest)

P is the principal (initial) amount

r is the annual interest rate (expressed as a decimal)

t is the number of years the money is invested or borrowed

The function f(x) = 10(1. 015)* shows the balance in a savings account as time increases.

So 10 represents the principal (initial) amount

0.014 represents the annual interest rate (expressed as a decimal)

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Answer:

g(- 8) = 20

Step-by-step explanation:

substitute x = - 8 into g(x) , that is

g(- 8) = - 3(- 8) - 4 = 24 - 4 = 20

Answer:

C

Step-by-step explanation:

A = Base x height

Base = 15

height = 4

= 60  square meter

Answer:

it is c because all I did was algarithims so yes it would be c

Answer:

[tex]\frac{9}{10}[/tex] + [tex]6\frac{1}{5}[/tex] = [tex]7\frac{1}{10}[/tex]

Answer:

look at the picture i sent .....

Answer:

[tex]360 = 2\pi \\\\90 = \frac{2\pi }{4} =\frac{\pi }{2} \\\\180 = \pi \\\\270 = \frac{6\pi }{4} = \frac{3\pi }{2}[/tex]

Answer: The formula for the surface area of a cone is S = π * r * s + π * r², where r is the radius of the base and s is the slant height of the cone.

To find the surface area of a cone, you first need to find the radius of the base. Since the base diameter is given as 7cm, you can divide this by 2 to find the radius of the base:

r = 7cm / 2 = 3.5cm

Next, you need to find the slant height of the cone. You can use the Pythagorean theorem to do this.

slant height = sqrt(r^2 + h^2) = sqrt(3.5² + 8²) = sqrt(12.25 + 64) = sqrt(76.25) = 8.766cm

Now you can substitute these values into the formula for the surface area of a cone and find the surface area of the cone.

S = π * r * s + π * r² = π * 3.5cm * 8.766cm + π * 3.5² cm² = 12.571 cm² + 38.485 cm² = 51.056 cm²

So the surface area of a cone with a base diameter of 7cm and height of 8cm is 51.056 cm²

Step-by-step explanation:

Answer:

-5a - 16

Step-by-step explanation:

Mark as Brainllest

Answer:

Step-by-step explanation:

The solution is the point where the 2 lines intersect.

If they intersect where x = 1 and y = 2 the solution is (1, 2).

Answer:

P=5x-50

Step-by-step explanation:

Profit is represented by P.

$5 is what Monty plans to sell each pot for and x represents how many pots he sells.

therefore 5x-50=P

0.75 i think

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x=34x=34

Decimal Form:

0.75

Answer:

24(24)

Step-by-step explanation:

[tex] \rm \mapsto \: t(28 - 8) = 24(28 - 8) \\ \rm \mapsto \: t(24) = 24(24) \\ \rm \mapsto \: 24t = 576 \\ \rm \mapsto \: t = \frac{576}{24} \\ \rm \mapsto \: t = 24[/tex]

The solution to the equations are

a) The quantity ( 28 - 8 ) represents the discounted price of the tickets

b) The total cost of the 24 tickets is given by the equation A = $ 480

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the cost of 24 tickets be represented as A

Now , the equation will be

The initial cost of a ticket = $ 28

The discounted cost of the ticket = $ 8

So , the final cost of the ticket = $ 28 - $ 8 = $ 20

Now , the cost of t tickets = 20t

So , when the value of t = 24

Substitute the value of t in the equation , we get

The cost of 24 tickets A = 20 ( 24 )

On simplifying the equation , we get

The cost of 24 tickets A = $ 480

Therefore , the value of A is $ 480

Hence , the equation is A = $ 480

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Answer:

Step-by-step explanation:

Given,

5x– 4у + 3y+8y – 7х

[Bringing like terms together]

= 5x - 7x - 4y + 3y + 8y

[Adding and subtracting the like terms]

= - 2x + 7y (Ans)

[tex] : \implies \sf 9x + 3 = - 33[/tex]

[tex] : \implies \sf 9x = - 33 - 3[/tex]

[tex] : \implies \sf 9x = - 36[/tex]

[tex] : \implies \sf x = \dfrac{ - 36}{9} = - 4[/tex]

[tex] \therefore \sf x = -4 [/tex]

36 square units make up the larger circle's surface area.

We can use the fact that the smaller circle is tangent to the larger circle and passes through its center to find the area of the larger circle. Since the radius of the smaller circle is tangent to the larger circle, the radius of the larger circle is double the radius of the smaller circle.

Let's call the radius of the smaller circle "r" and the radius of the larger circle "R". We know that R = 2r.

We know that the area of a circle is given by the formula A = πr^2.

We know that the area of the smaller circle is 9 square units, we can use this formula to find the radius:

A = πr^2 => r^2 = 9/π => r = sqrt(9/π)

Now we can use the formula of the area of a circle with R-value to get the area of the larger circle:

A = πR^2 => A = π(2r)^2 => A = 4πr^2 => A = 4π(9/π) => A = 36

So the area of the larger circle is 36 square units

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Therefore , the solution of the given problem of linear equation comes out to be  1200 = 400x.

A linear equation is represented by the algebraic expression y=mx+b. B is the y-intercept, and m is the slope. A "simple formula with 2 factors," where both y and x are variables, is what the previous sentence was referred to as. Calculations with two variables are referred to as "bivariate linear equations." Here are a few illustrations: 2x - 3 = 0; 2y = 8; m + 1 = 0; x/2 = 3; x + y = 2; and 3x - y + z = 3 are the results. A mathematical equation is considered to be linear if its solution has the format y=mx+b, where m stands for the slope and b for the y-intercept.

Here,

Given:

300 feet per minute

where x is the number of minutes,

The Y is 1200.

Thus,

Taking account of all the above information

We get,

This will give us an equation of 1200 = 400x

Therefore , the solution of the given problem of linear equation comes out to be  1200 = 400x.

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Answer:

a. rectangle

Step-by-step explanation:

i just used desmos so i have no idea how to explain it

Answer:

11270 cm2

Step-by-step explanation:

A = 2(wl+hl+hw)

   = 2(47•59+27•59+27•47)

   = 11270

Answer:

100% -> 6.50

100 - 25 = 75

75% -> 6.50/100 x 75

            = 4.875

            ≈ 4.88    

Answer:

$4.875 or if rounded $4.88

Step-by-step explanation:

Hope this helped

also u just have to subtract 6.50 by 25%

Answer:

Step-by-step explanation:

Salma has 4/5 kg of the flour . She wants to bake some cake. She uses 1/8kg of flour for each cake. What is the most number of cakes she can bake?