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3 years ago

Given that BD is the length of the mid-segment.What is the length of AE?

Mathematics

2 answers:

Anuta_ua [19.1K]3 years ago

5 0

Theorem:
The segment that joins the midpoints of two sides of a triangle (the mid-segment) is parallel to the third side and is half its length.

This means that since BD is the mid-segment, BD is parallel to and half the length of AE.

BD has length 4.
BD is half the length of AE.
What is the length of AE?

CaHeK987 [17]3 years ago

3 0

Answer:

The length of AE is 8 units .

Step-by-step explanation:

Now by using the midpoint theorem .

This theorem states that the segment joining two sides of a triangle at the midpoints is parallel to the third side and is half the length of the third side .

Thus

BD is the segment joining midpoints B and D of triangle and is parallel to side AE.

$BD = \frac{1}{2}\times AE$

BD = 4 units

Putting in the above

$4 = \frac{1}{2}\times AE$

AE = 4 × 2

AE = 8 units

Therefore the length of AE is 8 units .

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Darya [45]

Answer:

$(2x + 3)(x - 1)$

Step-by-step explanation:

$(2{x}^{2} + 3x) - (2x - 3) \\ x(2x + 3) -1(2x + 3) \\ \\ (x - 1)(2x + 3)$

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2 years ago

Kristen can run at 9kmh-1 and walk at 3kmh-1. She completed a 42km marathon in 6 hours. What distance did Kristen run during the

Hatshy [7]

Kristen completed 42 km. We will imagine that she ran all 6 hours. => 9 * 6 =54 km which is more than she actually completed. So we will find a 9 Multiple less than 42 km and that will be 36 km. (9 * 4 = 36 km completed by running) and the rest until 42 were completed by walking (3 * 2 = 6; 6 + 36 =42).

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3 years ago

Please answer the following chooses correctly.Each choose is true or false.

Mama L [17]

Answer:

1) True

2) False

3) False

4) True

Step-by-step explanation:

1) True

Anything over 100% is larger than the original.

2) False

Since it is 225% bigger, you multiply 4 by 2.25.

4 x 2.25 = 9

3) False

If it is 225% larger, it means that it is 2.25 times larger

4) True

8 0

3 years ago

Hall and Mindy are playing a guessing game. Hall tells Mindy: ""The difference between 17 and the square root of my mystery numb

cestrela7 [59]

Answer:

The possible number that Hall could be thinking of is 144.

Step-by-step explanation:

Difference between 17 and the square root of my mystery number

This is represented by:

$17 - \sqrt{x}$

is 5

Then:

$17 - \sqrt{x} = 5$

What are two possible numbers that Hall could be thinking of?

We have to solve the equation, for x. So

$17 - \sqrt{x} = 5$

$\sqrt{x} = 12$

$(\sqrt{x})^2 = (12)^2$

$x = 144$

The possible number that Hall could be thinking of is 144.

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3 years ago

40% =32/ what is the full fraction

Levart [38]

40% = 32/x

Rewrite using a decimal

.40 = 32 / x

Multiply both sides by x
.40x = 32

Divide both sides by .40
x = 32 / .40
x = 80

Write the full fraction
32/80

Answer 32/80

3 0

2 years ago