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
Answer:
47.5
Step-by-step explanation:
50-5+4 =49
49/2 = 24.5
Answer:
1,2,4,7,8,14,16,28,56,112
Step-by-step explanation:
12 is a composite number. 112 = 1 x 112, 2 x 56, 4 x 28, 7 x 16, or 8 x 14
Answer:
Step-by-step explanation:
a+pR^2-2pr^2, since R=15 and r=7.5
A=225p-112.5p
A=112.5p
a= 353.25ft^2
Answer: 11
<u>Step-by-step explanation:</u>
3x² - 4x¹¹ + 4x⁴ - 2x¹⁰ - 5 + 8x⁸
To find the degree, look for the largest exponent. <em>11</em>
If you put this polynomial in standard form (from largest to smallest exponent), the first term will give you the degree of the polynomial and the leading coefficient.
- 4x¹¹ - 2x¹⁰ + 8x⁸ + 4x⁴ + 3x² - 5