All categories

2 years ago

Please Help I Don't Understand.

Mathematics

1 answer:

lyudmila [28]2 years ago

6 0

BE and CD are parallel, so the triangles ABE and ACD are similar. Then the following relation holds:

AE/AD = AB/AC

10/(10 + 8) = x/(x + 6)

Solve for x :

10 (x + 6) = x (10 + 8)

10x + 60 = 18x

8x = 60

x = 60/8 = 7/5

You might be interested in

Solve the equation. –x 8 3x = x – 6 x = –18 x = –14 x = 2 x = 4

LenKa [72]

The value of the variable x in the equation –x + 8 + 3x = x – 6 is - 14.

<h3>How to find variable in an equation?</h3>

The variables of an equation can be found as follows:

–x + 8 + 3x = x – 6

The variable in the equation is x.

Therefore,

–x + 8 + 3x = x – 6

combine like terms on the left side

-x + 3x + 8 = x - 6

2x + 8 = x - 6

subtract x form both sides of the equation

2x - x + 8 = - 6

x + 8 = -6

subtract 8 from both sides

x = -6 - 8

x = - 14

learn more on equation here: brainly.com/question/1347990

#SPJ4

3 0

1 year ago

Help,, i’m in the middle of a test and i need this answer!

gayaneshka [121]

Answer:

Step-by-step explanation:

brainlest pls

6 0

2 years ago

Read 2 more answers

A printer can print 40 pages in 1.6 minutes

Rzqust [24]

Given:
40 pages in 1.6 minutes

40 / 1.6 = 25 pages per minute

25 x 5 minutes = 125 pages

40 / 1.6 = x / 5
40*5 = 1.6x
200 = 1.6x
200/1.6 = x
125 = x pages

25 : 1 = 150 : x
25x = 150
x = 150/25
x = 6 minutes

4 0

3 years ago

2 divided by 1 and 6/7

NARA [144]

Answer:

the answer is 1.2

Step-by-step explanation:

divide 2 by 1 6/7

and you get 1.2

4 0

2 years ago

In the image below, DE ∥ BC. Find the measure of EC. Set up a proportion and solve for the measure. Show your work and label you

Anastaziya [24]

Answer:

<u>EC = 1 ft</u>

Step-by-step explanation:

DE // BC and AC and AD are transversal lines

∴ ∠E≅∠C ⇒ corresponding angles are congruent

∠D≅∠B ⇒ corresponding angles are congruent

∠A≅∠A ⇒ Reflexive property

∴Δ ADE is similar to ΔABC by AA postulate

So, The corresponding sides are in proportion.

$\frac{AC}{AE} = \frac{AB}{AD}$

AE = 4 ft , AD = 8 ft , AB = 8 + 2 = 10 ft

AC = AE * AB/AD = 4*10/8 = 40/8 = 5 ft

EC = AC - AE = 5 - 4 = 1 ft

<u>So, the Length of EC = 1 ft.</u>

8 0

3 years ago