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RSB [31]
2 years ago
11

Inga divided two identical rectangles into equal parts. She colored one part of each rectangle.

Mathematics
1 answer:
likoan [24]2 years ago
8 0

Answer:

The areas are equal.

Step-by-step explanation:

Let the first rectangle be R and

the second rectangle be R'.

Sine R and R' are identical, their lengths are equal and their breadths are equal.

So, if Inga divided each into equal parts, then each part of both rectangles are equal.

Hence, the colored parts of both rectangles are equal.

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Answer:

-7.07106

Step-by-step explanation:

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2 years ago
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In the following diagram, parallelogram ABCD contains triangle CED. Line CE and line ED intersect at point E. The measures of ∠C
nirvana33 [79]

Answer:

∠x = 59°

Step-by-step explanation:

∠ECD = 52°   because they are alternate angles and will be equal

∠x = 180° - 52° - 69° = 59°  because the sum of the interior angles of a triangle = 180°

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2 years ago
A survey was conducted to measure the height of men. In the survey, respondents were grouped by age. In the 20-29 group the grou
kotykmax [81]

Answer:

(a) The probability that his height is less than 66 inches is 0.2743.

(b) The probability that the height is between 66 and 71 inches is 0.4679.

(c) The probability that the height is more than 71 inches is 0.2578.

Step-by-step explanation:

The data given in the question is:

Mean (μ) = 68.4

Standard Deviation (σ) = 4

Let X denote the height of men. We will use the normal distribution z-score formula to calculate the z-score and then look up the probability in the normal probability distribution table. The z-score formula is:

z = (X - μ)/σ

(a) For P(X<66), first calculate the z value.

z = (66-68.4)/4

z = -0.6 (Look up this value in the standard normal distribution table)

P(z<-0.6) = 0.2743

The probability that his height is less than 66 inches is 0.2743.

(b) P(66<X<71)  = P(X<71) - P(X<66)

We need to find P(X<71) so, calculating the z-value:

z = (71-68.4)/4

z = 0.65

P(z<0.65) = 0.7422

P(66<X<71)  = 0.7422 - 0.2743

P(66<X<71)  = 0.4679

The probability that the height is between 66 and 71 inches is 0.4679.

(c) To find the probability P(X>71), we need to find P(X<71) and then subtract it from 1 because the normal distribution table gives values for P(X<k). We have already calculated the value of P(X<71) in part (b) so,

P(X>71) = 1 - P(X<71)

            = 1 - 0.7422

P(X>71) = 0.2578

The probability that the height is more than 71 inches is 0.2578.

3 0
3 years ago
Evan spent 20 hours doing homework last week. This week he spent 25 hours doing homework. He says that he spent 125% more time d
ozzi

Answer:Yes

Step-by-step explanation:

25% of 20 is 5.

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The sum of a number and its square is 2. find the number(s)
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X+x^2=2
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