Sarah is making a scale drawing of a painting that is 48 in. wide by 120 in. high. Her paper is 12 in. wide and 24 in. tall. She
2 answers:
Answer:
The scale is not reasonable .
Step-by-step explanation:
We are given that Sarah is making a scale drawing of a painting that is 48 in. wide by 120 in. high.
Her paper is 12 in. wide and 24 in. tall.
Scale : 1 in. = 4 in.
Since 1 inch = 4 inch
So, 12 inch =
24 inch =
The given scale is not reasonable because the scale is true for the width but false for the height
Since the actual height is 120 inches and we are getting 96 inches using the given scale .
Hence the scale is not reasonable .
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The values are x=8 and y=35, if the given ΔABC and ΔDEC are equal, it is obtained by Pythagoras theorem.
Step-by-step explanation:
The given are,
From ΔABC,
AB= 6
BC= 10
AC = x
From ΔDEC,
CD= 28
DE= 21
CE = y
Step:1
Pythagoras theorem from ΔABC,
...............(1)
Substitute the values,
=
+
100 = 36 +
= 100 - 36
= 64
AC =
AC = 8
AC = x = 8
Step:2
Pythagoras theorem for ΔDEC,
................(2)
From the values,
=
+
= 784 + 441
= 1225
CE =
CE = 35
CE = y = 35
Result:
The values are x=8 and y=35, if the given ΔABC and ΔDEC are equal.