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hram777 [196]
3 years ago
14

What is the value of x? 

Mathematics
1 answer:
Marrrta [24]3 years ago
3 0
I dont know i just want coins lol
plus i just dont know

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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} \\\\

<em>See the image in the attachment for the referred diagram.</em>

<em />

  • 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.

<em>This implies that</em>:

  • AC/BC = EC/DC = AE/DB

<em><u>Given:</u></em>

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

<u>a. </u><u>Find the length of </u><u>AE</u><u>:</u>

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

<u>b. </u><u>Find the length of </u><u>AB:</u>

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

3 0
3 years ago
I’ll give brainliest to whoever answers thiss
andrey2020 [161]

Answer:

21.25

Step-by-step explanation:

diagonal is 21.25

the area is 216.75

the perimeter is 59.5

6 0
2 years ago
(-(-2)4), (minus(minus two)power four)=
docker41 [41]
-(-2)^4 = 16

The - sign multiplies inside the bracket to a positive, 2^4 = 16
7 0
3 years ago
PLEASE HELP MEE!!!
maks197457 [2]

Answer:

The 8th graders get the points.

Step-by-step explanation:

Kates best friend did not jump more than 6 ½ feet, in a fraction the amount kate's best friend jumped is 6.38 feet. There for the 8th graders get the points.

6 0
3 years ago
Reflect triangle ABC over the line x= -3.<br><br> What are the new coordinates?
alekssr [168]

Answer:

Step-by-step explanation:

We do not know the coordinates of triangle ABC, however, if the coordinates were (hypothetially) A (-2,0) B (-2,2) and C (-1,0) then we would flip triangle ABC over the line x=-3, point A would move 2 points horizontally to the left. Point B would move 2 points horizontally to the left. Point C, would move 4 points horizontally to the left. The Y coordinates would stay the same. Basically, instead of flipping it over the origin, you "move the origin" to whichever point you are told, they would function the same.

3 0
2 years ago
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