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3 years ago

Triangle ABC and triangle DEF are similar. Which proportion must be true?

Mathematics

1 answer:

N76 [4]3 years ago

5 0

Only the first one.
A is the answer.
ABC and DEF are similar, A is to D, B is to E, and C is to F. match the corresponding letters.

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Find the x and y intercepts.

Roman55 [17]

-3/4x + 5/6 y = 15

Multiply through by 6

-9/2x + 5y = 90

Add 9/2x to both sides

5y = 90 + 9/2x

Divide both sides by 5

y = 18 + 9/10x

y = 9/10x + 18
Comparing with the general equation of a straight line y = mx + c

Gradient (m) = 9/10 or 0.9
and the y - intercept (c) = 18

3 0

2 years ago

Saritza will find the area of the rectangle by tiling it with unit squares. The sides: 5/6 and 2/3. The question: Which is the a

AveGali [126]

A rectangle is a 2-dimensional shape with equal opposite sides. The appropriate side length for the unit square to tile Saritza’s rectangle to find the area will be 1/9 yard

<h3>How to find the area of a rectangle</h3>

A rectangle is a 2-dimensional shape with equal opposite sides.

Area of a rectangle = Length * width

Given the following parameters:

length = 5/6 yard

width = 2/3

Find the area

Area = 5/6 * 2/3
Area = 5/9 square units

The appropriate side length for the unit square to tile Saritza’s rectangle to find the area will be 1/9 yard

Learn more on area of rectangle here: brainly.com/question/2607596

3 0

2 years ago

A farm stand sells apples, a, for $5 a bucket and peaches, p,

Mrrafil [7]

Answer:

B. 5a + 8p = 155; p = a - 5

Step-by-step explanation:

4 0

3 years ago

It costs $4.25 per game at the bowling alley, plus $1.90 to rent shoes. If Wayne has $20, how many games can he bowl?

Natasha2012 [34]

Answer:

Step-by-step explanation:

4 games

8 0

2 years ago

Read 2 more answers

A personnel manager is concerned about absenteeism. She decides to sample employee records to determine if absenteeism is distri

nlexa [21]

Answer:

$df=categor-1=6-1=5$

The critical value can be founded with the following Excel formula:

=CHISQ.INV(1-0.05,5)

And we got $\chi^2_{critc}= 11.0705$

a. 11.070

And since our calculated value is lower than the critical we FAIL to reject the null hypothesis at 5% of significance

Step-by-step explanation:

Previous concepts

A chi-square goodness of fit test "determines if a sample data matches a population".

A chi-square test for independence "compares two variables in a contingency table to see if they are related. In a more general sense, it tests to see whether distributions of categorical variables differ from each another".

Solution to the problem

For this case we want to test:

H0: Absenteeism is distributed evenly throughout the week

H1: Absenteeism is NOT distributed evenly throughout the week

We have the following data:

Monday Tuesday Wednesday Thursday Friday Saturday Total

12 9 11 10 9 9 60

The level of significance assumed for this case is $\alpha=0.05$

The statistic to check the hypothesis is given by:

$\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}$

The table given represent the observed values, we just need to calculate the expected values with the following formula $E_i = \frac{60}{6}= 10$ and the expected value is the same for all the days since that's what we want to test.

now we can calculate the statistic:

$\chi^2 = \frac{(12-10)^2}{10}+\frac{(9-10)^2}{10}+\frac{(11-10)^2}{10}+\frac{(10-10)^2}{10}+\frac{(9-10)^2}{10}+\frac{(9-10)^2}{10}=0.8$

Now we can calculate the degrees of freedom (We know that we have 6 categories since we have information for 6 different days) for the statistic given by:

$df=categor-1=6-1=5$

The critical value can be founded with the following Excel formula:

=CHISQ.INV(1-0.05,5)

And we got $\chi^2_{critc}= 11.0705$

a. 11.070

And since our calculated value is lower than the critical we FAIL to reject the null hypothesis at 5% of significance

4 0

3 years ago