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adell [148]
4 years ago
13

Please could someone help me ?

Mathematics
1 answer:
Dmitrij [34]4 years ago
3 0

Answer:

DE = 15cm.

Step-by-step explanation:

Since both of the triangles are congruent, any ratio between the two sides of a triangle are the same between the two triangles. For example, you can say that the ratio of the sides AC to BC is the same as the ratio of the sides CE to dc on the triangle. You can further conclude that the ratio 8/5 is the same as CE to DE. This would get you 24/x=8/5, which you can further simplify to 24*5=8x\\120=8x\\15 = x\\. So, side DE is 15 centimeters. You would use the same procedure as the above to solve for side AB.

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When a number is decreased by 20% of itself, the result is 56 what is the number?
coldgirl [10]

Hey there!!

Let us take the number as ' x '

20% of x

= (20/100) × ( x )

= ( 1/5 ) × ( x )

= x/5

The number is decreased by 20% of itself

x - x/5 = 56

5x - x / 5 = 56

4x/5 = 56

Multiplying by 5 on both sides

5x = 56 × 5

5x = 280

dividing by 5 on both sides

4x / 4 = 280 / 4

x = 70

The number is 70

Hope my answer helps!



6 0
4 years ago
Please help me please i really need help
Debora [2.8K]

Answer:

D

Step-by-step explanation:

multiple by

2*5= 10......

4 0
3 years ago
Read 2 more answers
How can you find the surface area of a composite solid made up of prisms ? (Help)
sammy [17]
Oh, this is easy. For any prism, you find the surface area by finding the are of all the sides. I will post all surface area formulas here, for reference
Cube:



Surface area = 6 × a2




Right circular cylinder:



Surface area = 2 × pi × r2   +  2 × pi × r × h

pi = 3.14
h is the height
r is the radius


Rectangular prism:



Surface area = 2 × l × w  +  2 × l × h  +  2 × w × h 




l is the length
w is the width
h is the height


Sphere:



Surface area = 4 × pi × r2 

pi = 3.14
r is the radius


Right circular cone:



Surface area = pi × r2  +  pi × r ×( √(h2 + r2)) 

pi = 3.14
r is the radius
h is the height
l is the slant height 


Right square pyramid:



Surface area = s2 + 2 × s × l

s is the length of the base
h is the height
l is the slant height 
8 0
3 years ago
Find the sum of the infinite geometric sequence:<br>8, 4, 2, 1, .......​
tatyana61 [14]

Answer:

<h3>Therefore the sum if the series is 15.98!</h3>

The common ratio is 1/2 or 0.5 . If you multiply the current term by the the common ratio the the output will be the next term.

8⋅1/2=4

4⋅1/2=2

2⋅1/2=1 etc ...

because the absolute value of r is less than 1 we can use the following formula.

a/1−r where a is the first term and r is the common ratio

In our problem

a=8 and r=0.5

Substitute

8/1−0.5=8/0.5=16

The sum of this infinite geometric series is 16.

Also, another formula you can use that is guaranteed to work every time, no matter what, is:

Sn=a(r^n−1/r−1)

All the variables work the same way as above, and "n" is the number of terms in the series. So, say you wanted to find the sum of the first 10 terms and were to substitute everything in:

S10=8(0.5^10−1/0.5−1)

S10=15.984375

Therefore the sum if the series is 15.98!

Step-by-step explanation:

<h2>Hope it is helpful....</h2>
7 0
3 years ago
The distance on a map between a student’s house and her job is 6 cm. On the same map, the distance between her house and her sch
allochka39001 [22]

Distance from house to work (D) is 6km (A). House and school is 6cm on map 6cm=9km  

so 4cm = (d)km  

6....4  

---X--- = (6 x d) 6d = (9 x 4) 36 so now  

9....d  


divide to get (d) 6d/6=36/6 so D=6  

above are fractions sorry for the decimal points it wouldn't place the spaces without them.

8 0
3 years ago
Read 2 more answers
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