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PSYCHO15rus [73]

3 years ago

5

Show that the triangles are similar

1 answer:

ss7ja [257]3 years ago

6 0

Answer:

<ACB is supplementary to the < ECD by the definition of supplementary angles. Therefore the first part of your answer is <ACB = <ECD

We know that similar triangles have the same corresponding angle measurements for their angles and therefore one of the triangles is just a scaled up or down version of the original. Triangle EDC is a scaled down version of ABC. Therefore, the corresponding sides of triangle ECD have the same ratio to the corresponding sides of ABC. For example line segment EC and BC are corresponding line segment and lets find the ratio: 14/21 = 2/3

THe ratio of EC to BC is 2/3 and the ratio of CD to AC is also 2/3 (18 / 27=2/3)

Therefore, CE / BC is equal to DC / AC

Your full answer is

<ACB = <ECD, CE / BC = DC / AC

So triangle ABC ~ triangle CDE

Step-by-step explanation:

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Name all 4 angels shown in the picture

MrMuchimi

<h3>The angles are:</h3>

∠ABC
∠CBE
∠DBE
∠ABD

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4 0

3 years ago

Camilla has three times as many points as Lynn. Lynn has five

REY [17]

Step-by-step explanation:

l x 3 = c

k + 5 = l

(c + l + k) x 2 = 25

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5 0

3 years ago

a woman 1.65. tall stood 50m away from the foot of a tower,and observe that the angle of elevation of the top of the tower to be

ElenaW [278]

$\sf\huge\underline{\star Solution:-}$

$\rightarrow$ Let the women's height be AE and distance between the women and tower be AC.

Also let the height of tower be BC.

$\rightarrow$ Now, clearly it is forming a triangle.

So, in triangle ABC,

$\rightarrow$ $\sf{Tan50° \:= \: \frac{BC}{AC}}$

$\rightarrow$ $\sf{1.19 \:= \: \frac{BC}{50}}$

$\rightarrow$ $\sf{1.19 ×50\:= \: BC}$

$\rightarrow$ $\sf{59.5m\:= \: BC}$

$\rightarrow$ Hence, BC = 59.5m

So, BD(total height of the tower) $\sf{ = \:BC+CD}$

$\sf{= \:59.5+1.65}$

$\sf{=\: 61.15m}$

Therefore, total height of the tower = $\sf\purple{ 61.15m.}$

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Hope it helps you:)

5 0

2 years ago

Read 2 more answers

How to solve 9x^2+9x+2

Oksana_A [137]

Answer:

factoring: ( 3 x + 1 ) ( 3 x+ 2 )

expressing/equation: 9x²= 81x

81x + 9x + 2=

9x+81x=90x

90x + 2

Step-by-step explanation:

7 0

3 years ago

an engineer has a 54 inch wire that she has to cut into two pieces so that one piece is 8 inches shorter than the other find the

Brilliant_brown [7]

Hey there!!

Let's take the length of the bigger piece as x inches

Then, the length of the smaller piece would be x - 8 inches

The sum of these lengths would be 54 inches

... x + x - 8 = 54

... 2x - 8 = 54

... Add 8 on both sides

... 2x = 62

... Divide 2 on both sides

... x = 31

Hence, the length of the bigger piece = 31 inches

The length of the smaller piece would be = 31 - 8 = 23 inches

Hope my answer helps!!

4 0

3 years ago