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:
<h2>11.1111111111 or 1.1 <-(rounded)</h2>
Step-by-step explanation:
4+6+7+7+11+12+15+18+20= 100
divide by the number of values we have. we have 9 values
100/9=11.1111111111
I hope this helped
The third is because the prove is x = fifteen and if a number is next to a letter, it means multiply, sorry I could only do one.
Thwre are 28 clients who don not play any of the instrument using the principle of Venn distribution.
<u>Using a Venn diagram analogy</u> :
- Total number of client, U = 108
- Piano, P = 42
- Guitar, G = 51
- Piano and Guitar, (PnG) = 13
- None =?
<u>From the information given</u> :
- P only = 42 - 13 = 29
- G only = 51 - 13 = 38
<u>The total number of clients can be related thus</u> :
- Total = P only + G only + PnG + None
108 = 29 + 38 + 13 + None
108 = 80 + None
None = 108 - 80
None = 28
Therefore, the number of clients who do not play any of the instruments is 28
Learn more :brainly.com/question/12570490
Answer:
(1,-6)
Step-by-step explanation:
4x - y = 10
4x -(-6) = 10
4x + 6 = 10
- 6 - 6
4x = 4
/4 /4
x = 1
(x, y) -> (1,-6)
Check your answer:
4x - y = 10
4(1) - (-6) = 10
4 + 6 = 10
10 = 10
This statement is correct
Hope this helps!