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Colt1911 [192]
3 years ago
8

16y + 0 = 16y

Mathematics
1 answer:
balu736 [363]3 years ago
4 0
The answer is C. Identify property of addition 
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You are going to mow your neighbor's lawn for some extra money. Below is a scale drawing of their lawn, where each square repres
Colt1911 [192]

9514 1404 393

Answer:

  1. rectangle; parallelogram with 90° angle
  2. 150 feet
  3. $40 flat rate

Step-by-step explanation:

1. The slope of AB is ...

  mAB = (yB-yA)/(xB-xA) = (4-0)/(6-3) = 4/3

The slope of AD is ...

  mAD = (yD-yA)/(xD-xA) = (6-0)/(-5-3) = 6/-8 = -3/4

The product of these slopes is (4/3)(-3/4) = -1, so the segments AB and AD are perpendicular.

The midpoints of AC and BD will be the same if the sum of their coordinates is the same:

  A+C = (3, 0) +(-2, 10) = (1, 10)

  B+D = (6, 4) +(-5, 6) = (1, 10)

The midpoints of the diagonals of ABCD are the same, so the figure is a parallelogram. One corner angle is 90°, so the parallelogram is a rectangle. The quadrilateral ABCD is a rectangle.

__

2.  Using the coordinate differences found in part 1, we know the length AB is the hypotenuse of a 3-4-5 triangle, so is 5 grid squares. Similarly, the length of AD is twice that length, so is 10 grid squares. The perimeter in grid squares is ...

  P = 2(L+W) = 2(10+5) = 30 . . . . grid squares

Each grid square represents 5 ft, so the perimeter is ...

  (30 squares)(5 ft/square) = 150 ft . . . perimeter

__

3. The rectangle is 5 × 10 grid squares, or 25 × 50 ft. Then its area is ...

  A = LW = (50 ft)(25 ft) = 1250 ft²

At $0.03/ft², the payment for mowing would be ...

  ($0.03/ft²)(1250 ft²) = $37.50

The $40 flat rate would make you the most money.

5 0
2 years ago
In a list of numbers, the pattern increases by 0.001 as you move to the right. If the third number in the list is 0.064, what is
avanturin [10]

The <em>correct answer</em> is:


The first number is 0.062.


Explanation:


Let x represent the first number in the list.


We add 0.001 to each number to find the next number; this gives us:

x + 0.001 + 0.001 = 0.064


Combining like terms, we have:

x + 0.002 = 0.064


Subtract 0.002 from each side:

x + 0.002 - 0.002 = 0.064 - 0.002

x = 0.062

3 0
3 years ago
Read 2 more answers
during a trip to the supermarket, Jim bought the following items bread $1.45 beans $0.88 toothpaste $2.90 milk $3.55 dog food $6
mr Goodwill [35]
15.28 I think it is the answer bc it said total so u add all the numbers. I added them and it gave me 15.28
5 0
3 years ago
Read 2 more answers
Name the figure below in two different ways.<br> C<br> J<br> b
Irina18 [472]

Based on the letters representing the the given figure, two different ways that it can be named are CJB and BJC.

<h3>What other ways can the figured be named?</h3><h3 />

The figure has the midpoint of J.

This means that when you are naming the figure, J has to be in the middle of either of the names that you choose.

You can therefore name the shape CJB which would mean that C is the starting point and B is the ending point.

Or you could name it BJC with B being the starting and C being the ending.

Rest of the question:

Shape description is that of a line that has three different points which are C, J, and B.

Find out more on naming figures at brainly.com/question/22749241.

#SPJ1

4 0
1 year ago
The midpoint of FG is (6-4) and the coordinates of point Fare (-3, 6) What are the coordinates of point G?​
lora16 [44]

Answer:

(15,-14)

Step-by-step explanation:

Given that,

The midpoint of FG is (6-4) and the corrdinates of F are (-3,6).

Let (x,y) be the coordinates of point G. Using mid point formula,

\dfrac{x+(-3)}{2}=6\ \text{and}\ \dfrac{y+6}{2}=-4\\\\x-3=12\ \text{and}\ y+6=-8\\\\x=15,\ \text{and}\ y=-14

So, the coordinates of G are (15,-14).

4 0
3 years ago
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