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3 years ago

Question 2

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

6 0

The correct answer is: x = 8 (Option D)

Explanation:

Given ΔABC≅ΔDFE (Triangle ABC is congruent to triangle DFE).

It means that angle B is congruent to angle F, and C is congruent to E ( likewise A is congruent to D). By using this argument, we can say that, BC≅FE. Consequently, we can safely say that the lengths of those sides are also equal in measure. Therefore,

BC = 20

FE = 3x - 4

Since,

BC = FE (By using congruence statement mentioned above)

20 = 3x - 4

3x = 20+4

3x = 24

x = 8

Hence the correct answer is: x = 8

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Answer:

C). Circle Graph

Step-by-step explanation:

As per the question, a 'circle graph' would be most adequate to display that the majority of the teenagers prefer to do their study and homework in their bedrooms. A circle graph or pie-chart represents the data in a visually appealing manner using colors to display various proportions of the data that makes it easy to understand for the readers. Thus, more than half of the circle filled with the same color will clearly hint that most of the teenagers love doing their studies in their bedroom. Thus, option C is the correct answer.

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3 years ago

Three of these expressions are equal to the volume of the barn shown. Which expression is not?

timurjin [86]

The statement that does not match the others is the one at lower right.

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The barn's volume can be decomposed into a rectangular prism and a triangular one. Thus the upper right expression is a true represenation of the barn's volume:

... Volume of triangular prism + Volume of rectangular prism

The volume of a rectangular prism is the product of its dimensions. The dimensions of the rectangular prism portion of the barn's volume are a, b, c, so the volume of that portion is ...

... Volume of rectangular prism = a·b·c

The volume of a triangular prism is the area of the triangular base multiplied by the length of the prism. Here, the triangular base has base dimension b and height (d-c), so its area is ...

... Area of triangular barn end = (1/2)b(d-c)

Since the length of the barn is "a", the volume of the triangular prism is ...

... Volume of triangular prism = (1/2)b(d-c)a = (1/2)·a·b·(d-c)

The total volume is the sum of the volumes of the parts ...

... a·b·c + (1/2)·a·b·(d-c) . . . . . . matches the upper right selection

This can be factored by removing a·b to outside parentheses:

... a·b·((1/2)·(d-c) + c) . . . . . . . . . matches the lower left selection

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Answer:

We fail to reject the null hypothesis, we accept H₀

Step-by-step explanation:

Population proportion p₀ = 55 % p₀ = 0,55

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n*p and n*q are both bigger than 10 therefore we can approximate the binomial distribution to a normal distribution

Test Hypothesis

Null Hypothesis H₀ p = p₀

Alternative Hypothesis Hₐ p ≠ p₀

Significance level is α = 0,05 but we have a two-tail test then

α/2 = 0,025

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Comparing

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3 years ago

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Answer:

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