All categories

3 years ago

In the diagram, BC¯¯¯¯¯∥DE¯¯¯¯¯ . What is AE ?

Mathematics

1 answer:

emmainna [20.7K]3 years ago

6 0

So there are two triangles here: Smaller one (ADE) and bigger one (ABC) and they both are similar.

So you can use proportions here.

AB / AC = AD / AE

AB = AD + DB = 6 + 1 = 7
AC = AE + 3

AD = 6

So plug in these values:

AB / AC = AD / AE becomes
7 / (AE + 3) = 6 / AE

Now do the cross multiply:

7 AE = 6 (AE + 3)

Now solve for AE:

7AE = 6AE + 18

AE = 18

You might be interested in

A family buys 6 tickets to a show. They also each spend $3 on a snack. They spend $24 on the show.

Lilit [14]

Answer:

$1 for each tickets

Step-by-step explanation: 24/6= 4

4-3=1

Each tickets cost $1

3 0

3 years ago

(4,-6) (3,-2) what is the slope

Olin [163]

Answer:

M = -4

Step-by-step explanation:

6 0

3 years ago

Identify the 12th term of a geometric sequence where a1 = 8 and a6 = −8,192.

vodka [1.7K]

Geometric sequence
$a_{n}=a_{1}*r^{n-1}$
r=common ratio
a1=first term
find r

a1=8
a6=-8192
$-8192=a_{6}=8*r^{6-1}$
$-8192=8*r^{5}$
divide both sides by 8
$-1024=8*r^{5}$
take 5th root of both sides
-4=r
sub
$a_{12}=8*(-4)^{12-1}$
$a_{12}=8*(-4)^{11}$
$a_{12}=8*-4194304$
$a_{12}=-33554432$

3 0

4 years ago

Read 2 more answers

The _____ a0 of a segment divides the segment into two segments of equal length.

Alexeev081 [22]

The <u>Midpoint</u> of a segment divides the segment into two segments of equal length.

6 0

3 years ago

Read 2 more answers

A certain book had an original rating of 27 out of 30 points on a survey chart. Each month, the rating fell by 3 points. Express

Natali [406]

Answer:

D.) f(m)=27−3m

Step-by-step explanation:

Given that:

Original rating = 27

Total possible rating points = 30

Drop in rating point per month = 3

m = number of months since release :

Hence,

F(m) = original rating - drop in rating per month * number of months since release

F(m) = 27 - 3(m)

F(m) = 27 - 3m

7 0

3 years ago