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EastWind [94]
3 years ago
9

I surveyed students in my Math II classes to see how many hours of television they watched the night before our big test on tria

ngles. Below are the responses of nine randomly selected students, along with the grades they each earned on that test. You will use this table to answer all of the questions in this assignment:
Hours Spent Watching TV

Grade on Test

(out of 100)

4 71

2 81

4 62

1 86

3 77

1 93

2 84

3 80

Identify which variable is the independent variable and which is the dependent variable. Explain your choices.
Mathematics
1 answer:
dangina [55]3 years ago
7 0
Dependent variable would be the test scores, because they DEPEND on the amount of TV you watched
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ABCD-is-a-parallelogram-P-and-Q-are-two-points-on-the-diagonal-BD-such-that-DP-QB-Prove-that-APCQ-is-a-parallelogram?
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A quadrilateral in which both pairs of opposite sides are parallel is called a <u>Parallelogram</u>

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A quadrilateral is said to be  parallelogram if

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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)

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∠ADP = ∠CBQ (Alternate interior angles)

AD = BC

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

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

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 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

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