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mafiozo [28]
3 years ago
6

Directions: Read the instructions for this self-checked activity. Type in your response to each question, and check your answers

. At the end of the activity, write a brief evaluation of your work
Activity: You will use the GeoGebra geometry tool to explore how a line parallel to one side of a triangle divides the other two sides of the triangle. Go to
segments parallel to sides of a triangle e, and complete each step below. If you need help, follow these instructions for using GeoGebra.

Question 1: Check the box labeled Show Segment Parallel to BC. Notice that DE intersects two sides of AABC creating a smaller triangle. AADE. How is
AADE related to AABC? How do you know?

Mathematics
1 answer:
liraira [26]3 years ago
3 0

Angle D and angle B are congruent because they are corresponding angles. Angle E and C are also congruent because they are corresponding angles.

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What is the product of −2 2/5 and −3 5/6 ?
Vlada [557]

Answer:

915

Step-by-step explanation:

3 0
4 years ago
A swimming pool is open for 71/2 hours during the day the pool keeps one lifeguard on duty at a time, and each lifeguards shift
xxTIMURxx [149]
5 lifeguards are needed during the day
3 0
3 years ago
A USA Today/Gallup poll asked a group of unemployed and underemployed Americans if they have had major problems in their relatio
Tems11 [23]

Answer:

Null hypothesis: <em>H₀</em>: <em>p</em>₁ = <em>p</em>₂.

Alternate hypothesis: <em>H₀</em>: <em>p</em>₁ ≠ <em>p</em>₂.

Step-by-step explanation:

A statistical experiment is conducted to determine whether the proportions of unemployed and underemployed people who had relationship problems were different.

Let <em>p</em>₁ = the proportion of unemployed people who had relationship problems and <em>p</em>₂ = the proportion of underemployed people who had relationship problems.

A hypothesis test for difference between proportions, can be conducted to determine if there is any difference between the two population proportions.

Use a <em>z</em>-test for the test statistic.

The hypothesis test is:

<em>H₀</em>: There is no difference between the proportions of unemployed and underemployed people who had relationship problems, i.e. <em>p</em>₁ = <em>p</em>₂.

<em>Hₐ</em>: There is a significant difference between the proportions of unemployed and underemployed people who had relationship problems, i.e. <em>p</em>₁ ≠ <em>p</em>₂.

5 0
4 years ago
Read 2 more answers
There are small, medium, and large shirts in blue, white, or gray. How many different possible outcomes are there?
stira [4]

3 different sizes.

3 different colors.

Total outcomes: number of sizes x number of colors.

3 x 3 = 9

There are 9 total outcomes.

8 0
3 years ago
Read 2 more answers
A cleaning company charges x dollars per hour to clean floors and y dollars per hour to clean the rest of a house.
saul85 [17]
The answer is B. (15,18)

Solution:

First, let's set the variables first.

X = dollars per hour to clean the floor
Y = dollars per hour to clean the rest of the house

For the first statement, "<span>2 hours to clean floors and 3 hours to clean the rest of a house, the total charge is $84"
We can put it into an equation.
         2X + 3Y = 84       </span>⇒    equation 1

For the first statement, "<span>1 hour to clean floors and 4 hours to clean the rest of a house, the total charge is $87'
         X + 4Y = 87         </span>⇒    equation 2

Multiply first equation 2 by 2 to make the coefficient of both equations 1 and 2 the same.

Using elimination method in solving for x and y,

 
  (equation 1)              2X + 3Y = 84
  
 (equation 2)            2(X + 4Y) = 87   
                                    2X + 8Y = 174  
⇒ equation 3

Next, subtract equation 3 from equation 1.
            2X + 3Y = 84
      -   (2X + 8Y = 174)
        -------------------------
                  - 5Y = -90
                      Y = 18

Find X when Y = 18
@ equation 1  :    2X + 3Y = 84
                            2X + 3(18) = 84
                            2X + 54 = 84
                            2X = 84 - 54
                            2X = 30
                             X = 15
   
The answer is in ordered pairs of cleaning the floors and to clean the rest of the house. So, in the form (X,Y).

Answer: (15,18)

6 0
3 years ago
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