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Ad libitum [116K]
3 years ago
14

Write a two-column proof.

Mathematics
2 answers:
irga5000 [103]3 years ago
8 0

Proof:-

In ∆XYZ and ∆VWZ

\because\sf\begin{cases}\sf XZ\cong VZ(Given)\\ \sf YZ\cong WZ(Given)\\ \sf

Hence

∆XYZ\cong∆VWZ(Side-Angle-Side)

ira [324]3 years ago
8 0
<h3>Given:-</h3>

\begin{gathered}\\ \sf\longmapsto XZ≅VZ\end{gathered}

\begin{gathered}\\ \sf\longmapsto YZ≅WZ\end{gathered}

<h3>To prove:-</h3>

⇒△ XYZ≅△ VWZ

<h3>Proof:-</h3>

In △ XYZ&△ VWZ we have,

  • XZ=VZ [Given]
  • ∠XZY=∠VZW [Vertically opposite angles]
  • YZ=WZ [Given]

△ XYZ≅△ VWZ

Hence, Proved by side-angle-side theorem.

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It says why you suck at cooking

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2 years ago
PLEASE HELP ME ASAP! Is my answer correct?
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3 years ago
Construct a residual plot of the amount of money in a person’s bank account and their age that would indicate a linear model.
stepladder [879]

Answer:

The regression line is not a good model because there is a pattern in the residual plot.

Step-by-step explanation:

Given is a  residual plot for a data set

The residual plot shows scatter plot of x and y

The plotting of points show that there is not likely to be a linear trend of relation between the two variables. It is more likely to be parabolic or exponential.

Hence the regression line cannot be a good model as they do not approach 0.

Also there is not a pattern of linear trend.

D) The regression line is not a good model because there is a pattern in the residual plot.

3 0
3 years ago
Which of these is an exponential parent function?  A. f(x) = 2^x – 3  B. f(x) = 2^x + 2  C. f(x) = 2^x  D. f(x) = 2^x + 1/3
anygoal [31]

An exponential parent function is the option C. f(x)= 2^{x}, from the given options.

What do you mean by exponential parent function?

The formula for their parent function is y = b^{x}, where b is any non zero constant. Below is a graph of the parent function, y = e^{x}, which demonstrates that it will never equal 0. And at y = 1 when x = 0, y crosses the y-axis.

According to options in the given question,

We have the option below in the given question:

A. f(x) = 2^x – 3 

B. f(x) = 2^x + 2 

C. f(x) = 2^x 

D. f(x) = 2^x + 1/3

We know from the above definition that the option C. is the right answer to the given question.

Therefore, the exponential parent function is f(x)= 2^{x}.

To learn more about exponential parent function, visit:

brainly.com/question/24210615?referrer=searchResults

#SPJ1

4 0
1 year ago
The population of Brazil was 162,300,000 in 1995. It was growing at a rate of about 2% per decade. Predict the population, to th
stiv31 [10]

Answer:

The population is 168,900,000 to the nearest hundred thousand

Step-by-step explanation:

In this question, we are tasked with calculating the population of Brazil given its population in 1995 and her growth rate per decade.

Mathematically, we use an exponential function to calculate this population.

This can be written as P = I(1 + r)^n

where P is the population in 2015 which we are looking for,

I is the initial population which is 162,300,000

r is the rate of increase per decade given as 2% = 2/100 = 0.02,

n is the number of times between the years we are expecting this growth. The difference between the years 2015 and 1995 is 20 years which signifies 2 decades(1 decade is 10 years). Thus our n is 2

We plug these values into the equation above;

P = 162,300,000(1+0.02)^2

P = 162,300,000(1.02)^2

P = 168,856,920 which is 168,900,000 to the nearest hundred thousand

7 0
3 years ago
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