Answer this please and thank you If DE=4x-1, EF=9, and DF=9x-22, find the value of x.

Tia Veronica Pam and Lily are sisters. Tia is eight years old and she’s two years older than Pam. Pam is five years younger than

Nastasia [14]

Answer:

Pam (6 years), Tia(8 years), Veronica(11 years) , Lily (15 years)

Step-by-step explanation:

Age of Tia = 8 years

______________________________________________

Given Tia is 2 years older than Pam

mathematically

age of Pam + 2 years = age of Tia

age of Pam + 2 years = 8 years

age of Pam = 8 years- 2 years = 6 years

______________________________________________

Given Pam is five years younger than Veronica

we can infer that age of veronica is age of Pam + 5 more years

mathematically

age of Pam + 5 years = age of Veronica

6 years + 5 years = age of Veronica

age of Veronica = 11 years

______________________________________________

Given Veronica is four years younger than Lily

we can infer that age of Veronica is (age of Lily - 4 years)

mathematically

age of Veronica = age of lily - 4 years

11 years = age of lily - 4 years

age of lily = 11 years + 4 years = 15 years

age of lily = 15 years

______________________________________________

Arranging the list from youngest to oldest we have

age of Pam = 6 years

Age of Tia = 8 years

age of Veronica = 11 years

age of lily = 15 years

Arranging sisters in order of youngest to oldest

Pam, Tia, Veronica , Lily

3 0

2 years ago

Justin is constructing a line through point Q that is perpendicular to line n. He has already constructed the arcs shown. A line

xz_007 [3.2K]

I believe that this problem has the following choices:

It must be equal to BQ .
It must be wider than when he constructed the arc centered at point A.
It must be equal to AB .
It must be the same as when he constructed the arc centered at point A.

The correct answer is the last one:

It must be the same as when he constructed the arc centered at point A.

4 0

2 years ago

Read 2 more answers

A friend tells you that he has a cubic equation with exactly three complex roots. Determine which explanation best explains why

Ksju [112]

Complex solutions, namely roots with a √(-1) or "i" in it, never come all by their lonesome, because an EVEN root like the square root, can have two roots that will yield the same radicand.

a good example for that will be √(4), well, (2)(2) is 4, so 2 is a root, but (-2)(-2) is also 4, therefore -2 is also a root, so you'd always get a pair of valid roots from an even root, like 2 or 4 or 6 and so on.

therefore, complex solutions or roots are never by their lonesome, their sister the conjugate is always with them, so if there's a root a + bi, her sister a - bi is also coming along too.

if complex solutions come in pairs, well, clearly a cubic equation can't yield 3 only.

3 0

2 years ago

Read 2 more answers

Identify The functional relationship between the variables blank is a function of blank

vfiekz [6]

<h2>Complete Question: </h2>

The energy usage of a light bulb is a function. The input for the function is ___, measured in hours. The output of the function is energy usage, measured in _____. Identify the functional relationship between the variables. ________ is a function of __________. The graph of the function will show energy usage on the ________ axis and time on the _______ axis.

Input is time.
Output is measured in kilowatts.
Energy usage measured in kilowatts is a function of time measured in hours.

The graph representing the function will show:

energy usage (kilowatts) on the y-axis
time (hours) on the x-axis.

A light bulb as a function expends energy which is measured in kilowatts and it is dependent on time measured in hours.

This implies that, the amount of energy usage of the light bulb is determined by the number of hours the light bulb is turned on.

Thus, energy usage of the light bulb (kilowatts) is a function of time (hours).

Graphing the function, we would plot the input (time) on the x-axis, against (output) energy usage on the y-axis.

Therefore,

Input = time (hours) - plotted on the x-axis.

Output = energy usage (kilowatts) - plotted on the y-axis.

Learn more about functions here:

brainly.com/question/18738793

4 0

2 years ago

Javier is making a cake for a party. The recipe calls for 2 3 4 234 cups of flour, but he wants to triple the recipe. He guessed

GalinKa [24]

The correct question is
Javier is making a cake for a party. The recipe calls for 2 3/4 cups of flour, but he wants to triple the recipe. He guessed and put in 7 cups of flour. How many more cups of flour should he have used?

we know that
2 3/4 cups of flour------> (2*4+3)/4----> 11/4 cups
if he wants to triple the recipe------> 3*(11/4)----> 33/4 ----> 8 1/4 cups required

8 1/4-7=1 1/4 cups

the answer is
1 1/4 cups

5 0

2 years ago