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Reptile [31]
2 years ago
11

To get to the park from her house, Rachel walked 4 kilometers due north and then 3 kilometers due west. On the way back, she cut

across a field, taking the shortest
possible route home,
How far did Rachel walk on the round-trip?

Mathematics
1 answer:
Natasha_Volkova [10]2 years ago
4 0

Answer:

12 km

Step-by-step explanation:

Using the Pythagorean Theorem, you know that 3^2 + 4^2 = x^2, so 9 + 16 = x^2, which means that x = the square root of 25, which is 5. Then you add all three lengths of the triangle together to get the round trip. 3 + 4 + 5= 12.

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A store is having a sale on shoes. The sale is buy one pair of shoes get 50% off. The original price of one pair is $52.98. All
Harman [31]

Answer:

if it was 50% off the cost would be $145.64

Step-by-step explanation:

291.29 / 1/2= 145.64

50% = 1/2

7 0
2 years ago
Pls pls pls pls pls pls pls
mars1129 [50]

The inverse, converse and contrapositive of a statement are used to determine the true values of the statement

<h3>How to determine the inverse, converse and contrapositive</h3>

As a general rule, we have:

If a conditional statement is: If p , then q .

Then:

  • Inverse -> If not p , then not q .
  • Converse -> If q , then p .
  • Contrapositive -> If not q , then not p .

Using the above rule, we have:

<u>Statement 1</u>

  • Inverse: If a parallelogram does not have a right angle, then it is not a rectangle.
  • Converse: If a parallelogram is a rectangle, then it has a right angle.
  • Contrapositive: If a parallelogram is a not rectangle, then it does not have a right angle.

All three statements above are true

<u>Statement 2</u>

  • Inverse: If two angles of one triangle are not congruent to two angles of another, then the third angles are not congruent.
  • Converse: If the third angles of two triangle are congruent, then the two angles are congruent to two angles of another
  • Contrapositive: If the third angles of two triangle are not congruent, then the two angles are not congruent to two angles of another

All three statements above are also true

Read more about conditional statements at:

brainly.com/question/11073037

8 0
2 years ago
A randomized study compared the effectiveness of two mosquito repellents. The treatment group using Spray A reported a mean of 3
BlackZzzverrR [31]

Answer:

The difference of the means is not significant because the re-randomizations show that it is within the range of what could happen by chance.​

Step-by-step explanation:

Given that:

The treatment group using Spray A reported a mean of 3.5 mosquito bites.

The treatment group using Spray B reported a mean of 5.6 mosquito bites.

After the data are  re-randomized; the differences of the means are shown in the dot plot. The dot plot is attached in the file below;

The best conclusion that can be make based on the data from the dot plot is :

The difference of the means is not significant because the re-randomizations show that it is within the range of what could happen by chance.​

5 0
2 years ago
What equation do you get when you solve z-m=z+bx for x?
Nimfa-mama [501]
X = -m/b.
Subtract z from both side and you get
-m= bx
Now divide both side by b and you get
-m/b= x
8 0
2 years ago
Read 2 more answers
Which expressions of signed decimal numbers have negative quotients? Check all that apply.
dybincka [34]
A negative number divided by positive is a negative quotient and vice versa.
So
5.7 / -2.2
-0.01 / 0.05
Are the ones with negative quotients
7 0
2 years ago
Read 2 more answers
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