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3 years ago

I REALLY NEED HELP ON THIS, PLEASE!!!!

Mathematics

1 answer:

Reika [66]3 years ago

6 0

1. $2d+3$

2.
$n\cdot 7\\
7n$

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ABC and EDC are straight lines. EA is parallel to DB. EC = 8.1 cm. DC = 5.4 cm. DB = 2.6 cm. (a) Work out the length of AE. cm (

harkovskaia [24]

By applying the knowledge of similar triangles, the lengths of AE and AB are:

a. $\mathbf{AE = 3.9 $ cm}\\\\$

b. $\mathbf{AB = 2.05 $ cm} \\\\$

See the image in the attachment for the referred diagram.

The two triangles, triangle AEC and triangle BDC are similar triangles.
Therefore, the ratio of the corresponding sides of triangles AEC and BDC will be the same.

This implies that:

AC/BC = EC/DC = AE/DB

Given:

$EC = 8.1 $ cm\\\\DC = 5.4 $ cm\\\\DB = 2.6 cm\\\\AC = 6.15 $ cm$

a. Find the length of AE:

EC/DC = AE/DB

Plug in the values

$\frac{8.1}{5.4} = \frac{AE}{2.6}$

Cross multiply

$5.4 \times AE = 8.1 \times 2.6\\\\5.4 \times AE = 21.06$

Divide both sides by 5.4

$AE = \frac{21.06}{5.4} = 3.9 $ cm$

b. Find the length of AB:

$AB = AC - BC$

AC = 6.15 cm

To find BC, use AC/BC = EC/DC.

Plug in the values

$\frac{6.15}{BC} = \frac{8.1}{5.4}$

Cross multiply

$BC \times 8.1 = 6.15 \times 5.4\\\\BC = \frac{6.15 \times 5.4}{8.1} \\\\BC = 4.1$

Thus:

$AB = AC - BC$

Substitute

$AB = 6.15 - 4.1\\\\AB = 2.05 $ cm$

Therefore, by applying the knowledge of similar triangles, the lengths of AE and AB are:

a. $\mathbf{AE = 3.9 $ cm}\\\\$

b. $\mathbf{AB = 2.05 $ cm} \\\\$

Learn more here:

brainly.com/question/14327552

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3 years ago

Using the Distance Formula Find the length given the points (0,0) and (0,100)

Ahat [919]

The length is 10
i showed my steps on the picture attached
hope this helps :)

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3 years ago

Which of the following is true?

gtnhenbr [62]

Answer:

C..... I think it is a answer

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3 years ago

4n+3< 6n+8 -2n what is n

PolarNik [594]

Answer:

$8>3$

Step-by-step explanation:

STEP 1: Rewrite so n is on the left side of the inequality.

$6n+8-2n>4n+3$

STEP 2: Subtract 2 n from 6 n .

$4n+8>4n+3$

STEP 3: Move all terms containing n to the left side of the inequality.

$8>3$

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3 years ago

The area of a square equals the square of a length of the side of the square. The perimeter of a square equals the sum of the le

Murrr4er [49]

Answer:

Step-by-step explanation:

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