Given
Sofia cuts a piece in the shape of a kite for an art project
top two sides measure 20 cm each
bottom two sides measure 13 cm each.
One diagonal, EG, measures 24 cm
Find out the length of the other diagonal, DF.
To proof
As given in the question and also shown in the diagram shown below
DE = EF = 20cm
DG = GF = 13cm
EG = 24cm
DF = ?
In kite shape
One diagonal is the perpendicular bisector of the other diagonal.
i.e EG is the perpendicular bisector of DF
i.e EG is divided into two equal parts
thus EA = AG = 12cm
in Δ EAF
By applying the pythagorus theorem
we have
EF² = FA²+ EA²
20² = 12² + FA²
400 -144 = FA²
256 =FA²
16cm = FA
Now in Δ DAG
DG² = AG² + DA²
13² = 12 ²+ DA²
169 -144 = DA²
25 = DA²
5cm = DA
Thus diagonal DF = DA + FA
= 5 + 16
= 21cm
Hence proved
Answer:
The confidence level of the study is 99.9%
The confidence level is 99.9% of the margin error is 8%
Step-by-step explanation:
<u>Explanation</u>:-
Candy has observed 250 sports cars
The sample size 'n' = 250
Sample proportion 'p' = 15% = 0.15
The margin of error = 8% = 0.08
<em>The margin of error is determined by </em><em> = </em>
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<em> </em>
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<u>Conclusion</u>:-
The z- score of 99.9% level of significance = 3.54 for two tailed test
<em>Hence the confidence level is 99.9% of the margin error is 8%.</em>
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2.6 x 10 = 26
1.3 x 102=132.6
1.3 x 107=139.1
2.0 x 107 =214
1.3 x 1011= 1314.3
2.0 x 2022
hope i helped pls give btrainliest
1. Top side = to bottom so 12 and 12.
W=8
^(because 40=perimeter
24=12+12 so40-24=16 and half of that is 8)
so to find area its lxW(length x width) so
8x12=96
Answer- 96 in
