This is from my prep guideI will provide the answer options in another picture

Answer:

True

Step-by-step explanation:

SSS is being shown because the two sides are known by congruence marks, and the third side is known because it is equal--the two triangles are sharing it.

Given:-

To find:-

Decompose the fraction in two ways.

Way one,

Way two,

Answer:

A. 1/4.

Explanation:

Given two random events A and B:

Substitute the given values:

The value of P(B|A) is 1/4.

Answer:

The answer is 13

EXPLANATION

The slope of a line, is given by the next expression:

Where (x_1,y_1) = (2,8) and (x_2,y_2)=(12,20)

Plugging in the values into the expression:

Subtracting numbers:

Simplifying:

In conclusion, the solution is 6/5

Explanation

Step 1

draw the rectangle

here we have a rigth triangle,then

Let

so, we need a function that relates those values

replace and solve for length

Step 2

width

similarity, we need a function that relates

let

replace and solve for w

Step 3

finally, the area of a rectangle is given by

therefore, the answer is

I hope this helps you

The function y = -10*x¹⁰ - 10

Is not a linear function, as we can see the exponent is 10.

Remember that a linear function is of the form:

y = m*x + b

Where x is the variable.

So a linear function is a polynomial of degree 1.

Particularly, here we have the function:

y = -10*x¹⁰ - 10

So we have an exponent of 10, which means that this is not a linear function.

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SOLUTION

(1) From the question, if Eugene lives immediately above Damaris, then Eugene can only live between floors 1 to 4.

And Damaris can only live between floors 2 to 5.

Guzal can only live on floors 1 or 5

Siince Cindy cannot live on the first floor, she can only live between floors 2 to 5, Since Fareed does not live immediately below Damaris. Fareed can live between floors 1 to 5.

Hence the answer is Fareed, option D

The critical points for the given function f(x) are -√5 and √5.

so option d is the correct answer.

A critical point is the part of the domain of a function where the derivative is either equal to zero or the function is not differentiable.

Differentiate the given function f(x)=x/(x²+5)

f'(x)=((x²+5)-x(2x))/(x²+5)²

Using the Quotient Rule for differentiation.

A method for finding the derivative or differentiation of a function that is given as a ratio or division of two differentiable functions in calculus is known as the quotient rule.

We get f'(x)=5-x²/(x²+5)²

So the derivative is zero at -√5 and √5 and non differentiable at -√5

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Based on the given points from the scatter plot on the number of CDs sold in millions, the line of best fit for the data is y = -45x + 90,895

The estimated number of CDs sold in 2008 was 535 CDs.

The line of best fit will take the form:
y = Slope(x) + y intercept

The value of x will be assumed to be the number of years since 1999.

The slope is:

= Change in y / Change in x

= (805 - 940) / (2002 - 1999)

= -45

The y intercept is:
940 = -45(3) + y

y = 90,895

The line of best fit is:

y = -45x + 90,895

This means that the number of CDs sold in 2008:

= -45(2008) + 90,895

= 535 CDs

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If the original line is y = -5, then the perpendicular line would be x = a, where a is the x value of the point where it passes through, then the line is x = 2

Answer:

x = 2

Given the figure in the attached image.

The polygon has 4 sides, and all the four sides are equal.

but the four angles are not given to be equal.

Therefore, the polygon shown in the figure is a Rhombus

The percent of increasing = amount of increasing/original amount x 100%

Since the price of the notebook on one day is $3.10

Since it is increased to $3.35

Then the amount of increasing = 3.35 - 3.10 = 0.25 dollars

Since the original price is 3.10

By using the rule above

The percent of increasing = 8.064516%

Round it to the nearest tenth

The percent of the increase is 8.1%

To now how many had a score under 66, we have to calculate the following probability

So the amount of people that had a score under 66 is

So 6 people get a score under 66

you can find the slope taking two points of a graph or function,

identify the rightmost point and apply this equation

where (x2,y2) is the rightmost point and (x1,y1) is the other point

If i have two points (3,4) and (6,2)

the rigthmost point is (6,2) because 6 is greater than 3 and these two numbers are x, the place where I can locate myself horizontally or left or right

so, apply the equation

So, the slope is

The mean age of the 12 participants in a student congress is 19.75.

given 16,24,23,20,12,27,19,25,21,23,14,13
Mean generally means average. The formula of Mean is as follows

Add the given numbers 16+24+23+20+21+27+19+25+21+23+14+13 = 237
Divide the total number by the number of participants that is
237/12 = 19.75

The mean age of the participants = 19.75

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Answer

Explanation

The basket can hold a maximum of 40 apples.

Justin currently has 22 apples. He plans to buy

5/8 of 100 can be obtained by applying the rule of three:

then, x is given by

then, the answer is 62.5.

To evaluate the expression with the given values, we need to substitute them and perform any required calculation.

To do so, we need to remember the following rule:

If we have a multiplication of two numbers with different signals, one of them positive and the other negative, the result will be negative. If the multiplication is made with two numbers with the same signal, both positive or both negative, the result will be positive.

From this, we perform the following calculation:

From the solution developed above, we are able to conclude that the solution is:

Answer:

1027.35

Step-by-step explanation:

60 month/55498

Step 1

Given;

Required; To find the slope.

Step 2

Answer;

We will determine th equation in slope-intercept from of the line as follows:

First, we find the slope:

Then:

So, the equation of the line in slope-intercept form is:

Answer:

Explanation: Given the system of equations:

Given the expression:

15 - (x • 9)

Let's simplify the expression.

To generate an expression equivalent to the given expression, simplify the expression inside the parentheses.

Thus, we have:

ANSWER:

We have two triangles, XYZ and WVZ.

They shared the vertex Z, formed by the intersection of two lines, XW and VY.

Also, XY and VW are parallel.

Then, we have a pair of congruent angles at vertex Z, as they are vertical angles.

We also have another pair of congruent angles: V and Y, because they are alternate interior angles between parallel lines.

Then, as we have two pair of congruent angles, the third pair of angles have to be congruent too, as the measures of the interior angles of a triangle always add 180°.

Then, if we have 3 pair of congruent angles, we have similar triangles.

We can not say anything about congruent sides because we don't know any relation or proportion between them, so the other postulates, SAS or SSS, can not be used.

Answer: XYZ ~ WVZ by AA similarity (Option A)

From the question,

We also have

Remember that the sum of angles at a point equals 360°. Therefore

Therefore, m(AB) is 110°.

Hence, OPTION B is correct.

Answer:

Step-by-step explanation:

21

ANSWER

x(12 + 32)

EXPLANATION

Let x be 'the number'.

A number times... means 'a number multiplied by...'

The sum of 12 and 32 is (12 + 32)

The complete algebraic expression is x(12 + 32)

Given data:

The given number is 85.

The given number 85 can be expressed in terms of their prime factors as,

Thus, yes 85 can be expressed in terms of their prime factors as 17x5.