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enyata [817]
3 years ago
7

Match the following. 1 . isosceles trapezoid a trapezoid that has two congruent sides (other than the bases) 2 . triangle a quad

rilateral with one pair of parallel sides 3 . line symmetry a polygon with three sides 4 . line of symmetry property where a figure can be folded along a line to create two congruent mirror images 5 . rotational symmetry the line which divides a figure into two congruent mirror images 6 . trapezoid property where a figure can be rotated less than 360° and still look the same
Mathematics
1 answer:
Ganezh [65]3 years ago
7 0

Answer:

1. isosceles trapezoid- a trapezoid that has two congruent sides (other than the bases)

2. triangle- a polygon with three sides

3. line symmetry- property where a figure can be folded along a line to create two congruent mirror images

4. line of symmetry- the line which divides a figure into two congruent mirror images

5. rotational symmetry- property where a figure can be rotated less than 360° and still look the same

6. trapezoid- a quadrilateral with one pair of parallel sides

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Paul is two years younger than Patricia. Daniel is 25% older than Patricia. Ten years ago, Daniel was 50% older than Patricia. H
Sergeeva-Olga [200]

We have 3 people: Paul, Daniel and Patricia. Let each name denote that person’s current age in years. Remember that % is the symbol for 1/100.


PAUL: (#A) Paul = Patricia – 2
DANIEL: 
(#B) Daniel = 125% * Patricia = 125 * (1/100) * Patricia = 1.25 * Patricia
(#C) Ten years ago, Daniel’s age at that time would have been Daniel’s current age – 10. IE “Daniel – 10”.
Ten years ago, Patricia’s age at that time would have been Patricia’s current age – 10. IE “Patricia – 10”. 
Ten years ago, Daniel’s age at that time (IE Daniel – 10) was 50% greater than Patricia’s age at the time (Patricia – 10). 
IE 

Daniel – 10 = 150% * (Patricia – 10)
Daniel – 10 = 1.50 * (Patricia – 10)
Daniel – 10 = 1.50 * Patricia – 1.50 * 10
Daniel – 10 = 1.50 * Patricia – 15
Daniel = 1.50 * Patricia – 15 + 10
Daniel = 1.50 * Patricia – 5


So now we have 3 equations in 3 unknowns:
(A) Paul = Patricia – 2
(B) Daniel = 1.25 * Patricia
(C) Daniel = 1.50 * Patricia – 5


Solve equations B & C simultaneously
 1.25 * Patricia = 1.50 * Patricia – 5
 1.25 * Patricia – 1.50 * Patricia = – 5
– 0.25 * Patricia = – 5
 Patricia = (– 5) / (– 0.25) 
Patricia = + 20

So now we can write the 3 people’s ages:
(a) Patricia = 20
(b) Paul = Patricia – 2 = 20 – 2 = 18
(c) Daniel = 1.25 * Patricia = 1.25 * 20 = 25

<span>
</span>

<span>Finally, we check our solution against the original question. </span>
Paul is two years younger than Patricia. ……… 20 – 2 = 18 ✔
Daniel is 25% older than Patricia. ……… 25 = 125% * 20 ✔
Ten years ago, Daniel was 50% older than Patricia. 25 – 10 = 150% (20– 10) ✔


Hope that helped :)

5 0
3 years ago
A 10-metre long pipe is cut into 2 pieces. One piece is 5 times the length of the other piece. Find the length of each piece, en
elena55 [62]

9514 1404 393

Answer:

  1.67 m, 8.33 m

Step-by-step explanation:

If the ratio of lengths is 1 : 5, then the ratio of the shortest length to the total is ...

  1 : (1+5) = 1 : 6

The shortest length is (10 m)×(1/6) = 1.67 m. The longer length is 10 -1.67 = 8.33 m.

The lengths of the pieces are 8.33 m and 1.67 m.

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2 years ago
Will give brainliest, like 5 stars, comment and 5 points
alexgriva [62]

Answer:

3,500=3.5

500=0.5

75=0.075

1=0.001

x=x÷1000

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3 years ago
Tommy is making a greeting card on his computer. He can choose 1 of 4 backgrounds, 1 of 7 photos, and 1 of 6 text colors. How ma
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Answer is D. 168

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3 years ago
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vfiekz [6]
Week 24,assuming that both machines are cleaned at week 0, because multiples of 12 are 12, 24,36. And multiples of 8 are 8, 16, 24. 24 is also the LCM.
7 0
3 years ago
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