The diagram shows triangle ABC with D on AC and E on AB. DE is a straight line. AD = 27 m, AE = 39 m, DE = 23m and BC = 65 m. Calculate the length CD.

Similar triangles may or may not be congruent

The length of CD is 49 units.

From the given triangles, we have the following equivalent ratios

Where:

So, we have:

Substitute known values

Express as fraction

Multiply both sides by 65

Subtract 27 from both sides

Rewrite as:

Hence, the length of CD is 49 units.

Read more about similar shapes at:

link

CD is approximately 77.55 m

Step-by-step explanation:

I would start by finding the measure of <A using law of cosines

a²=b²+c²-2bc cos A

23²=27²+39²-2(27)(39) cos A

-1721 = -2106 cos A

A =

A = 35.2°

Then I would use law of sines

x/sin 68 = 65/sin 35.2,     x is the length of AC

x = 104.55, then subtract 27 to get the length of CD

CD is approximately 77.55 m

she would want to sell 10 full-year subscriptions and at least 9 half-year subscriptions to get a total of at least $300. 

i hope this answer you! if you have any further questions or concerns, feel free to ask! : )

step-by-step explanation:

mark brainliest!

12.4, 12.387, 12.26, 12.252, 6.241, 6.2, 6.015, 6.009, 1.411, 1.2, 1.056, 1.007, 0.31,   0.13, 0.5, 0.04

step-by-step explanation:

ur welcome : )