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:
She has 27 students now.
Step-by-step explanation:
Given :
The teacher has 30 students
10% students left.
To find : how much students does she have now?
Solution :
Since we are given that teacher has 30 students .
And 10% of students left
⇒ 10% of 30
⇒
⇒
⇒
Thus, 3 students left .
She had 30 students . three students left.
So, now she have 30 - 3 = 27 students .
Hence she has 27 students now.
Answer: C. (2, -4)
Step-by-step explanation:
Take into consideration that y is less than or equal to -2. The only option in which the y value is less than or equal to -2 is option C., thus C would correctly solve the system of inequalities.
Answer:
2
Step-by-step explanation:
3 x 2 = 6
1 x 2 = 2
hope it helps
sorry if I'm wrong
Answer:
1.25kg
Step-by-step explanation:
useing the problem the half life equation will be:
f(x)=5(0.5)^(x/140)
x is amount of days
so plugging in 280 for x will get 1.25kg
