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rusak2 [61]
1 year ago
7

In triangle ABC, points D and E are on sides AB and BC, respectively,

Mathematics
1 answer:
Stels [109]1 year ago
3 0

The length of DE in the triangles is 5.9

<h3>How to determine the length of DE?</h3>

The given parameters are:

DB = 6.3

AC = 9.4

AD : DB = 3 : 5

Substitute DB = 6.3 in AD : DB = 3 : 5

AD : 6.3 = 3 : 5

Express as fraction

AD / 6.3 = 3 / 5

Multiply both sides by 6.3

AD = 3.78

The length DE is then calculated using the following ratio:

BD : DE = BA : AC

Where:

BA = BD + AD

This gives

BD : DE = BD + AD : AC

Substitute known values

6.3 : DE = 6.3 + 3.78 : 9.4

Simplify

6.3 : DE = 10.08 : 9.4

Express as fraction

DE/6.3 = 9.4/10.08

Multiply both sides by 6.3

DE = 5.9

Hence, the length of DE is 5.9

Read more about similar triangles at

brainly.com/question/14285697

#SPJ1

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Answer:

A) Ms. Swift can conclude that hey are similar, because line E,C,A is collinear, and they both are right triangles.

B) 158.3ft

Step-by-step explanation:

A) Having a collinear line makes the triangles similar, and because of their collinear line they are both right triangles.

B) The question tells you DE is 103 ft. You take 76ft and Square it giving you 5776ft You then take 103 and square it giving you 10609ft adding them together gives you 16385ft you take the square root of it and it gives you the hypotenuse of triangle CDE. To get the hypotenuse of triangle ABC you take The expression (AB/DE)=(BC/CD)=(AC/EC) step one (AB/DE)=(94ft/76ft)=AC/DE) step two (103ft/127ft)=(94ft/76ft)=(AC/DE) third step (103ft/127ft)=(94ft/76ft)=(128ft/158.3)

I truly hope this helps! :)

8 0
3 years ago
A company has two manufacturing plants with daily production levels of 5x + 11 items and 2x - 3 items, respectively. The first p
Brrunno [24]

Answer:

3x + 14 items

Step-by-step explanation:

First plant produces 5x + 11 items

Second plant produces 2x - 3 items

First plant production - second plant production = 5x + 11 - (2x - 3)

5x + 11 - 2x + 3 = 3x + 14 items

8 0
2 years ago
Divide r+5/r^2+5r-14 by r^2+4r-21/r-2
sergey [27]
<span>      r+5                 </span><span>r^2+4r-21
</span><span>-------------- /   --------------------
r^2+5r-14               </span><span>r-2

</span>          r+5                     r-2
= --------------  x   --------------------
    r^2+5r-14           r^2+4r-21

          r+5                     r-2
= --------------  x   --------------------
    (r+7)(r-2)           (r+7)(r-3)


          r+5                     
= -----------------
    (r+7)^2 (r-3)           
7 0
3 years ago
I need help please, the question is The temperature at 6am is 12 F. During the next twelve hours, the temperature increases 25 F
SIZIF [17.4K]

Answer:

14 degrees

Step-by-step explanation:

12 + 25 - 23 = 14

7 0
3 years ago
An angle measures 16° more than the measure of its supplementary angle. What is the measure of each angle?
Olenka [21]
82 degrees and 98 degrees


First, find the original equation

180 = (x) + (x + 16)


Simplify: 180 = 2x + 16


Next, use the subtraction property of equality to subtract 16 from both sides


180 - 16 = 2x + 16 - 16


Simplify: 164 = 2x


Then, you can use the division property of equality to find the value of x

164/2 = 2x/2


Simplify: 82 = x



Now, we know that the first angle equals 82 degrees and that the second angle equals 98 degrees
3 0
1 year ago
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