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Mashutka [201]
3 years ago
7

Martina needs to memorize words on a vocabulary list for German class. She has memorized 20 of the words, which is four-fifths o

f the list. How many words are on the list?
Mathematics
2 answers:
jarptica [38.1K]3 years ago
8 0

Answer:

25 words

Step-by-step explanation:

use a proportion

20/x=⅘

cross multiply

X×4 and 20×5

4x=100

÷4. ÷4

x=25

25 words

check

20/25=4/5

tresset_1 [31]3 years ago
6 0
Four fifths of 25 is 20 so the answer is 25
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A quadrilateral in which both pairs of opposite sides are parallel is called a <u>Parallelogram</u>

Step-by-step explanation:

A quadrilateral is said to be  parallelogram if

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  • If the  opposite angles are equal
  • If the diagonals bisect each other
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From the question given above

<u>ABCD is a parallelogram and P and Q are points on BD such that</u>

<u>DP=QB</u>

In ΔAPD and ΔCQB,--------------------------(i)

DP = QB (Given)

∠ADP = ∠CBQ (Alternate interior angles)

AD = BC

(Hence it is proved that -Opposite sides of a parallelogram are equal)

so, ΔAPD ≅ ΔCQB    (As per  SAS congruence rule)

 If , ΔAPD ≅ ΔCQB.-------------------------(ii)

AP = CQ               ( by CPCT )

 In ΔAQB and ΔCPD,-----------------------(iii)

BQ = DP (Given)

∠ABQ = ∠CDP (Alternate interior angles)

AB = CD  (Opposite sides of a parallelogram)

so, ΔAQB ≅ ΔCPD                       (As per  SAS congruence rule)

(iv) AQ = CP              (According to  CPCT as ΔAQB ≅ ΔCPD.)

 From (ii)  and (iv) equation ,we can say that

AP=CQ ,

AQ=CP

<u> It is proved that APCQ has equal opposite sides also it has equal opposite angles. </u><u>Hence,APCQ is a Parallelogram</u>

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