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4 years ago

Are the polygons similar? If they are, write a similarity statement and give the scale factor.

1 answer:

3 0

For the polygons to be similar, there must be some corresponding sides or angles.
For the case above there are no corresponding sides nor angles.

For these reasons DQRS is not similar to DUVT.
No statement and scale factor.

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Write the equation of a line in slope intercept form that contains the points (0,2) and (3,4)

AlladinOne [14]

Answer:

Step-by-step explanation:

Generally equation of a line is given as

y=mx+c

Then given the point (x, y)=(0,2)

Therefore x=0 and y=2

y=mx+c

2=m×0+c

2=0+c

Then, c=2

Then intercept is 2

Also given the point (x, y)=(3,4)

x=3 and y=4 and c=2

y=mx+c

4=m×3+2

4=3m+2

4-2=3m

2=3m

Then, m=2/3

Then, the slope of the graph is 2/3

y=mx+c

Now, m=2/3 and c=2

The general equation of the line becomes

y=2/3x+2

Multiply through by 3

3y=2x+6

Then this is the equation of the line

6 0

3 years ago

What is 3 3/5 - 4 1/2

PolarNik [594]

3 3/5. - 4 1/2

find a common denominator

3/ 5 = 6/ 10.

1/2. = 5/10

3 6/10. - 4 5/10

- 1 1/10

3 0

4 years ago

Read 2 more answers

Solve the system by using substitution. y = 2x – 10 and - 6x – 2y = -10

Ann [662]

Answer:

(3, -4) or x = 3 and y = -4

Step-by-step explanation:

Hope this helps!

3 0

3 years ago

Read 2 more answers

The brand manager for a brand toothpaste must plan a campaign designed to increase brand recognition. He wants to first determin

bulgar [2K]

We need to find out how many adults must the brand manager survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage.

From the given data we know that our confidence level is 90%. From Standard Normal Table we know that the critical level at 90% confidence level is 1.645. In other words, $Z_{Critical}=1.645$ .

We also know that E=5% or E=0.05

Also, since, $\hat{p}$ is not given, we will assume that $\hat{p}$ =0.5. This is because, the formula that we use will have $\hat{p}(1-\hat{p})$ in the expression and that will be maximum only when $\hat{p}$ =0.5. (For any other value of $\hat{p}$ , we will get a value less than 0.25. For example if, $\hat{p}$ is 0.4, then $1-\hat{p}=0.6$ and thus, $\hat{p}(1-\hat{p})=0.24$ .).