Answer: x =
Step-by-step explanation:
The exterior angle of a triangle = sum of the opposite interior angle.
The interior angles given are : and
Which are opposite to x + 72
Therefore :
x + 72 = +
x + 72 =
x = -
x =
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2 answers:
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x = -3 → -3 = -3 and -3 < 4 therefore -3 ≤ -3 ≤ 4
x = -2.2 → -3 < -2.2 and -2.2 < 4 therefore -3 ≤ -2.2 ≤ 4
x = -2 → -3 < -2 and -2 < 4 therefore -3 ≤ -2 ≤ 4
x = 0 → -3 < 0 and 0 < 4 therefore -3 ≤ 0 ≤ 4
x = 1.5 → -3 < 1.5 and 1.5 < 4 therefore -3 ≤ 1.5 ≤ 4
x = 3 → -3 < 3 and 3 < 4 th≤erefore -3 ≤ 3 ≤ 4
x = 4 → -3 < 4 and 4 = 4 therefore -3 ≤ 4 ≤ 4
Answer:
x = 7.5
Step-by-step explanation:
Dilation is a transformation in which the size of a given figure is either increased or decreased by a scale factor.
Given that the length of sides of the smaller triangle are; 5, 13, 12.
Given also that the length of the dilated triangle are; x, blank, 18.
Comparing the length of the last sides of the two triangles, we have;
(scale factor x 12) + 12
= ( x 12) + 12
= 6 + 12
= 18
Thus the scale factor for the dilation is . So that:
x = ( x 5) + 5
= 2.5 + 5
= 7.5
x = 7.5
And also,
blank = ( x 13) + 13
= 6.5 + 13
blank = 19.5
Therefore, the length of the sides of dilated triangle are: 7.5, 19.5, 18