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dmitriy555 [2]
2 years ago
5

Four squares ABCD, EFGH, IJKL, and MNOP are constructed such that points E, F, G, H are middle points (midpoints) of the sides o

f square ABCD. Points I, J, K, L are midpoints of the square EFGH. M, N, O, and P are midpoints of the square IJKL. What is the area of the square ABCD, if OP=2 cm?
Mathematics
2 answers:
AURORKA [14]2 years ago
7 0

By definition, the area of the parallelogram is given by:

A = b * h

Where,

b: base

h: height

We have then:

ABCD parallelogram:

A = (3) * (3)

A = 9 units ^ 2

EFGH parallelogram:

A = (3) * (3)

A = 9 units ^ 2

Answer:

The area of parallelogram ABCD is equal to the area of parallelogram EFGH.

DerKrebs [107]2 years ago
5 0

Answer:

The sum of interior angles of a polygon of n sides is (n-2) straight ... A rhombus is a parallelogram in which adjacent sides are equal.

Step-by-step explanation:

shaded area =0.8cm2. Explanation: enter image source here. Given 3CG=2GF,⇒CG:GF=2:3,⇒CG:CF=2:5 ⇒CG=25CF.

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A veterinarian's office recorded one particular week that they had 50 patients. The following table shows the recorded number of
Gre4nikov [31]

Answer:

1. <u>The correct answer is 46%</u>

2. <u>The correct answer is .07</u>

<u>3. The correct answer is (34%,58%)</u>

4. <u>The correct answer is (32%,60%)</u>

Step-by-step explanation:

1. Let's calculate the percentage or proportion of patients that were dogs:

p = (7 + 4 + 5 + 5 + 2)/50 = 23/50 = 0.46

<u>The correct answer is 46%</u>

2. Let's estimate the standard error, using the given formula, this way:

S.e = √ (0.46 * 0.54)/50 = √0.049 = 0.07

<u>The correct answer is .07</u>

<u>3. </u>Let's calculate the confidence limits of the 90% confidence interval, this way:

Confidence limits = proportion +/- 1.645 * standard error

Confidence limits = 0.46 +/- 1.645 * 0.07

Confidence limits = 0.46 +/- 0.12

Confidence limits = 0.34, 0.58

<u>The correct answer is (34%,58%)</u>

4. <u> </u>Let's calculate the confidence limits of the 95% confidence interval, this way:

Confidence limits = proportion +/- 1.96 * standard error

Confidence limits = 0.46 +/- 1.96 * 0.07

Confidence limits = 0.46 +/- 0.14

Confidence limits = 0.32, 0.60

<u>The correct answer is (32%,60%)</u>

3 0
2 years ago
Todd had 6 gallons of gasoline in his motorbike. After driving 150​ miles, he had 3 gallons left. Compute the​ slope, or rate of
yarga [219]
So for every gallon he can drive 50 miles. So I think  the slope would be 50/-1
8 0
2 years ago
Read 2 more answers
Which function does the graph represent
Doss [256]

Answer:

C

Step-by-step explanation:

Obviously this a log function.  What you have to know about the parent graph of a log function is that it goes through the origin (0, 0).  Ours appears to go through -1, so it has moved 1 unit to the left, and our appears to have moved up 3 units.  The parent graph for the log function in standard form is

f(x) = log(x - h) + k.

where h indicates the side to side movement, and k represents the up and down movement.  In our standard form, we fit in -1 as follows: (x - (-1)), which of course is equivalent to (x + 1).  Because our function has moved up 3 units, our k is a positive 3.  So the translation of the parent graph to what we see is

g(x) = log(x + 1) + 3, choice C

8 0
2 years ago
Read 2 more answers
An arithmetic series contains 20 numbers. The first number is 102. The last number is 159. Which expression represents the sum o
aev [14]
Given that 159-102=57

and 57/20=2.85

n=2.85

you would make the sum be 102+1n+2n.......20n= sum
3 0
2 years ago
Which is a characteristic of the line that passes through the points (6, 10) and (12, 7)? The slope is mc015-1.jpg. The slope is
lbvjy [14]
Answer:
slope of the line is -0.5
y-intercept is 13

Explanation:
The general formula of the linear equation is:
y = mx + c 
where m is the slope and c is the y-intercept

1- getting the slope:
We are given the two points:
(6,10) representing (x1 , y1)
(12,7) representing (x2 , y2)
The slope of the line will be calculated as follows:
m = (y2-y1) / (x2-x1) = (7-10) / (12-6) = -3/6 = -0.5
The equation of the line now becomes:
y = -0.5x + c

2- getting the value of the y-intercept:
To get the value of the y-intercept (c), we will use any of the given points, substitute in the equation of the line and solve for c. I will use the point (6,10) as follows:
y = -0.5x + c
10 = -0.5(6) + c
10 = -3 + c
c = 13

Based on the above, the equation of the line would be:
y = -0.5x + 13

Hope this helps :)
8 0
2 years ago
Read 2 more answers
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