How do you work this out?

Mathematics

1 answer:

Katarina [22]3 years ago

5 0

Because ABCD is a rectangle, the length of CD is 12 cm.

We need to determine the length of DE. If we can do that, then the sum of the lengths of CD and DE represents the unknown: the length of CE.

To find the length of CE, we have to "solve" the upper triangle.

Here's an outline of what to do:

1. Show that BC=AD and find the length.
2. Note that angle CAD is 60 degrees. Why?
3. Note that angle EAD is 30 degrees. Why?
4. Find the length of ED
5. Add ED and DC, that is, ED + 12 cm. This is your answer.

Please ask questions if need be.

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Find the distance between the pair of points. Round your answer to the nearest hundredth. (-8,19) and (3,5)

Amiraneli [1.4K]

Answer:

<h3>The answer is 17.80 units</h3>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-8,19) and (3,5)

The distance between them is

$d = \sqrt{ ({ - 8 - 3})^{2} + ({1 9 - 5})^{2} } \\ = \sqrt{( { - 11})^{2} + {14}^{2} } \\ = \sqrt{121 + 196} \\ = \sqrt{317} \: \: \: \: \: \: \: \: \: \: \: \: \\ = 17.804493...$

We have the final answer as

<h3>17.80 units to the nearest hundredth</h3>

Hope this helps you

5 0

3 years ago

Use the formula to find

Marizza181 [45]

Answer:

5525

Step-by-step explanation:

Using the formula with n = 25 , then

$\frac{25(26)(50+1)}{6}$

= $\frac{25(26)(51)}{6}$

= $\frac{33150}{6}$

= 5525

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2 years ago

PLEASE HELP!!!1

Anuta_ua [19.1K]

We sketch two triangles, DFE and DGH, as shown below

Side DF correspond to side DG, the scale factor is 40÷32=1.25

Side DE correspond to side DH, the scale factor is 30÷24=1.25

That leaves us with the last corresponding sides, EF and HG which would also have a scale factor 1.25

Both triangles share the same angle D

We can conclude triangle DFE and triangle DGH are similar for property SSS and SAS