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3 years ago

In triangle abc shown below side ab is 6 and side ac is 4

Mathematics

1 answer:

kaheart [24]3 years ago

7 0

Question is Incomplete, Complete question is given below:

In Triangle ABC shown below, side AB is 6 and side AC is 4.

Which statement is needed to prove that segment DE is parallel to segment BC and half its length?

Answer

Segment AD is 3 and segment AE is 2.

Segment AD is 3 and segment AE is 4.

Segment AD is 12 and segment AE is 4.

Segment AD is 12 and segment AE is 8.

Answer:

Segment AD is 3 and segment AE is 2.

Step-by-step explanation:

Given:

side AB = 6

side AC = 4

Now we need to prove that segment DE is parallel to segment BC and half its length.

Solution:

Now AD + DB = AB also AE + EC = AC

DB = AB - AD also EC = AC - AE

Now we take first option Segment AD is 3 and segment AE is 2.

Substituting we get;

DB = 6-3 = 3 also EC = 4-2 =2

From above we can say that;

AD = DB and EC = AE

So we can say that segment DE bisects Segment AB and AC equally.

Hence From Midpoint theorem which states that;

"The line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side."

Hence Proved.

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Answer: 10% of 65.9

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3 years ago

Inverse of f(x)=3/2x +6

kvasek [131]

Answer:

f(x) = (x - 6)/(3/2)

Step-by-step explanation:

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3 years ago

Find the area (shaded) and round to the tenths place if necessary.

fomenos

Answer:

9π - 9

Step-by-step explanation:

Depends on what the question stated was pi (π). The area of the circle is 9(3 squared) * π. the shaded area is the area of the circle - the area of the triangle. The area of the triangle is base * high / 2. If the diameter of the circle (6) is what we use as the base, then 3 would be the high, making the area 9. This means the shaded area would be 9π - 9.

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3 years ago

50 POINTS WILL GIVE BRAINIEST. Which of the following numbers are irrational?

Otrada [13]

Answer:

$\sf \dfrac{\pi}{3}\:\:and\:\:\sqrt[\sf 3]{\sf 25}$

Step-by-step explanation:

Definitions

Integer: A whole number that can be positive, negative, or zero.

Rational Number: A number that can be expressed as the ratio of two integers (where the denominator does not equal zero).

Irrational Number: A real number that cannot be written as a rational number.

$\sf -8.2183 \times 10000=-82183$

$\implies \sf -8.2183=-\dfrac{82183}{10000}$

Therefore, -8.2183 can be expressed as a rational number.

π is an infinite decimal, so it cannot be expressed as a rational number.

$\textsf{Therefore},\:\dfrac{\pi}{3}\:\textsf{is irrational}.$

$\sqrt[\sf 3]{\sf 25}$ is an irrational number.

$\sf 9+ \sqrt{4}=9+\sqrt{2^2}=9+2=11$

As 11 can be expressed as ¹¹/₁ then 9 + √4 is rational.

Conclusion

Therefore, the numbers that are irrational are:

$\sf \dfrac{\pi}{3}\:\:and\:\:\sqrt[\sf 3]{\sf 25}$

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1 year ago

When results from a scholastic assessment test are sent to test-takers, the percentiles associated with their scores are also gi

hram777 [196]

Answer:

The correct option is (D).

Step-by-step explanation:

Percentiles are statistical measures that are used to interpret data. It represents the data value which is more that a specific percentage of the data set.

The nth percentile of a data set is the value that is more that n% of the data set.

⇒ It is provided that a test-taker's score was at the 94th percentile for their verbal grade.

This statement implies that the test taker scored a mark more than 94% of the other test-takers, i.e. he\she performed better than 94% of the other test-takers in the verbal grade.

⇒ Also the test-taker's score was at the 16th percentile for their quantitative grade.

This implies that the test taker scored a mark more than 16% of the other test-takers, i.e. he\she performed better than 16% of the other test-takers in the quantitative grade.

Thus, the correct option is (D).

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3 years ago