Use congruent triangles to find side lengths.If you were asked to draw the two congruent triangles described below, what would be each side length? ABC≈ EFGAB = 6, GF = 8, AC = 10.

Due to the inaccuracy of the provided information, we will suppose that the original expression is

Solve for x as shown below

Therefore, the answer is x=36/5

In the picture there is graph. The graph has a function is y=secx. The option c is correct.

Given that,

In the picture there is graph.

We have to find the graph has a function.

The graph is of y=secx.

Secant will not present at

x = - 5∏/2 , - 3∏/2 , -∏/2 , ∏/2, 3∏/2 , 5∏/2

At certain places, the graph will also include asymptotes. The graph of the secant on the range of - 5∏/2 is shown below.  - 5 ∏/2

The graph also always has a value greater than 1 and less than -1. It shouldn't come as a huge surprise. Keep in mind that -1≤ cos (x)≤ 1. One will be more than one when divided by a number that is less than one. Additionally, 1 / ±1 = ±1, therefore we obtain the following secant ranges.

We can write as sec(x)≥1 and sec(x)≤-1

Therefore, the graph has a function is y=secx. The option c is correct.

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Answer:

16.12 hours

Explanation:

A continuous exponential growth model is given below:

• The growth rate, r = 4.3% = 0.043

• t = time in hours

• Po = Initial population

• P(t) = Present population

We want to find the number of hours it takes the population to double. That is if the initial population, Po = 1

• The present population, P(t) = 1 x 2 = 2.

Substitute these values into the model above to get:

Since natural logarithm(ln) is the inverse of exponential, take the natural logarithm of both sides to remove the exponential operator.

Divide both sides by 0.043.

It will take 16.12 hours for the size of the sample to double.

Factorial five. Factorial 16-5. And the response to this question is 4368. There are therefore 4000 368 options for these pizzas with five toppings.

The sum of all positive integers less than or equal to n, indicated by the symbol n!, is the factorial of a non-negative integer n. Additionally, the factorial of n is equal to the sum of n and the subsequent smaller factorial: For instance, According to the convention for an empty product, the value of 0! is 1. The mathematical operation known as a factorial, denoted by the symbol (! ), multiplies a number (n) by each number that comes before it. The factorial function instructs you to multiply all the whole numbers starting at the selected number and going all the way down to one. In further mathematical terms, a number's factorial (n!) equals n (n-1)

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The value of x is 6, then the value of JK is 83, KL is 83 and JL is 83.

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

An equilateral triangle is a shape with three sides that have an equal measure of side length.

The 3 sides of triangle JKL are equal to each other, therefore we can equate any of the two sides together to find the unknown variable called x.

So, JK = KL

JK = 13x + 5

KL + 17x - 19

13x + 5 = 17x - 19

Collect like terms;

17x - 13x = 19 + 5

4x = 24

x = 24/4

x = 6

We can now proceed to find the sides;

JK = 13x + 5

13 x 6 + 5

= 78 + 5

= 83

JK = 83

KL = 17x - 19

= 17 x 6 - 19

= 102 - 19

= 83

KL = 83

JL= 8x + 35​

= 8 x 6 + 35

= 48 + 35

= 83

JL = 83

Hence, The value of x is 6, then the value of JK is 83, KL is 83 and JL is 83.

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Given :

the total number of collections = 60 vinyl

There are six from the 70s

So, the probability that is from 70s is :

SOLUTION:

The percent erroris helpsful in many situations. An example will be when conducting

The linear equation that passes through the point (-6, 5) and B is the point (-2,-3) is:

y = -2x - 7

A general linear equation is:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through two points (x₁, y₁) and (x₂, y₂) then the slope is:

s = (y₂ - y₁)/(x₂ - x₁)

In this case, we have the points (-6, 5) and (-2,-3), then the slope is:

s = (-3 - 5)/(-2 + 6) = -8/4 = -2

Then we have:

y = -2*x + c

To find the value of the constant we use one of the points, I will use (-2, -3) to get:

-3 = -2*(-2) + c

-3 = 4 + c

-3 - 4  =c

-7 = c

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The probability that the family has 6 girls if it is known the family has at least one girl is; 3.125%

We are told that each child has the same chance of being a boy or a girl and as such we can say that probability is 1 in 2, or 0.50 or 50%.

Since the family must have at least one girl, if we assume that the first child is a girl, the the probability of the second child being a girl is 50%.

The probability of the other 5 children all being girls is:

(1/2) * (1/2) * (1/2) *(1/2) * (1/2) = 1/32.

This Probability expressed as a decimal or percentage represents a probability that we have as; 1/32 = 0.03125 = 3.125%.

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The total interest earned by Rudy on the principal is $9000

Amount in Rudy's saving account = $90,000

Interest rate per year = 10%

The formula for simple interest is given:

A loan or deposit's principal amount serves as the foundation for simple interest. Compound interest, on the other hand, is calculated based on both the initial principal and the interest that is added to it each period.

Simple interest = P*R*T/100

where P = principal amount invested

R = rate of interest

T = time in years

Substituting the values in the formula we get:

Simple interest = 90000*10*1/100

= 9000

So, the interest amount is $9000

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Given

Find

Plot the graph

Explanation

To plot the graph we need points ,

let

Answer:

6 over 10

Step-by-step explanation:

You can use any number, but I used 2. You can multiply both numbers by any whole number, me using 2. I timed 3 by 2 which is 6. And 5 times 2 is 10. So, we have 6 over 10. And we can use 3, 4, 5, 6, and so on, it doesn't matter it is still the same. Just, make sure you multiply both numbers by the same number.

The value of sin t = sin 135° = 1/√2

The trigonometric functions are real functions that connect the angle of a right-angled triangle to the ratios of its two side lengths. They are also known as circular functions, angle functions, or goniometric functions[1][2]. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.

Given; tan t = 1

And the given condition is π/2 < t < 3π/ 2

this mean t lies in the 2nd quadrant because the value of t lies between 90 and 270 degrees.

This means tan t = tan (90 + 45)= cot 45 = 1

thus t = 235 degree

And thus sin t = sin 135 ° = sin (90+ 45) = cos 45 ° =  1/ √2

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ok

The answer is on the second row. 3xy^2 + 5y - 2

One needs to sell $6750 worth of goods to make the straight commission be at least good to the secondary offer

Straight offer = 6% commission on the sales

Second offer = $270 + 2% of the sales

For the straight offer to be competitive with the second offer it should be able to cover the fixed income of $270

Let x be the sales made in the week

Formulating the equation we get the following:

6% of x = 270 + 2% of x

6/100x = 270 + 2/100x

4/100x = 270

x = 6750

So, for sales up to $6750, the second job offer is good, while for sales more than $6750 the first job offer is good

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Answer:

what r the 3 following options??

Step-by-step explanation:

Answer: 129 inches

Step-by-step explanation:

172 inches x 3/4 original with = 129 inches

Answer:

The last table represents a linear function.

As x increases by 1 unit, y increases by a constant of 6 units

The equation of the function is

y = 6x + 3

Step-by-step explanation:

Answer:

Both

Explanation:

Given the function:

• A power function is a function with a whole number as its exponent.

• A monomial is a polynomial that has only one term.

The given funtion has 5 as its exponent, thus, it sis a power function. Furthermore, it is a monomial, thus it is also a polynomial.

f(x) is both a power function and a polynomial.

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a portion of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Percent refers to one hundred percent.

A decimal is a number divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of full and partially whole quantities.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction.

A ratio displays the multiplicity of two numbers. A ratio can have any number of quantities, such as counts of people or things or measurements of length, weight, time, etc. Both numbers must be positive in most situations.

Percentage  Decimal  Fraction                       Ratio

6%                  0.06        6 / 100                       6:100

60%                0.6          60 / 100                    60:100

600%              6             600 / 100 = 6 / 1         6:1

32%               0.32         32 / 100                     32:100

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Given data:

The given radius of the tire is r=18 in.

Th expression for the circumference is,

C=2πr

Substitute the given values in the above expression.

C=2(3.14)(18)

=113.04 in

Thus, the circumference of the tire is 113.04 inn.

Given that the weight of goat increased by 12 pounds to be 38 pounds.

It means that the weight became 38 pounds after attaining an extra 12 pounds to its initial weight.

Suppose that 'x' is the initial weight of the goat, then adding 12 to is will become 8,

Therefore, the third option is the correct choice.

Answer:

The maximum value is the same for both functions

Step-by-step explanation:

f(x) maximum is (0,5)

g(x) maximum is (2,5)

Answer:

The maximum value is the same for both functions.

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If  the cost for using 35 HCF IS 61.83. . the cost for using 19 HCF of water is :$68.31.

Straight line: y=mx+b, m=slope, b=y-intercept

Let y=cost of using 19 HCF water

Let x =amount of water used

m=∆y/∆x =(61.83 - 32.13) / (35-19)

m=∆y/∆x =29.7 /16

m=∆y/∆x = 1.85625

m=∆y/∆x = 1.86  ($/HCF) (approximately)

equation: y=1.86x+b

Solving for b using point (19, 32.13)

32.13 =1.86×19+b

32.13=35.34+b

b=35.34 -32.13

b=3.21

equation:

f(x)=1.86x+3.21

f(25)=1.86×35+ 3.21

= 68.31

Cost of using 35 HCF water= $68.31

Therefore the cost price is $68.31.

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Answer

Option C is correct.

Volume = 1,413 in³

Explanation

The volume of a cylinder is given as

Volume = πr²h

where

π = pi = 3.14

r = radius of the cylinder = ½ (Diameter) = ½ (10) = 5 inches

h = height of the cylinder = 1.5 feet = 1.5 (12 inches) = 18 inches

The conversion from feet to inches was done using 1 feet = 12 inches

So, we can calculate the volume now

Volume = πr²h

Volume = (3.14) × (5²) × (18)

Volume = 1,413 in³

Hope this Helps!!!

By definition of conditional probability you know that

Now, replace the values that you have and solve for P(A and B)​

Prism surface is formed by

2 rectangles x and 2 rectangles y ,2 rectangles z

then

Area of rectangles for x= 2x13x6 = 156 m2

. For y = 2x5x6= 60 m2

. For z = 2x13x 5 = 130 m2

Then now add all these results

Prism area = 156 + 60 + 130 = 346

Then answer is

OPTION D) 346 m2