Step-by-step explanation:
Add 8n to both sides to get
8n-67 = 5
then add 67
8n = 5+67 = 72
divide by 8
n = 9
Hi there!
You need to prove that line segment DE ≅ GH.
You're given:
Line segment DJ ≅ line segment GJ;
E is the midpoint of line segment DF;
H is the midpoint of line segment GJ.
You can justify that line segment DE ≅ line segment GH with the midpoint definition, which is a point on a line segment that divides it into two equal parts. The two equal parts in this case are line segments DE and GH, so DE ≅ GH.
Please comment with <em></em>any questions!
Answer: B
Step-by-step explanation:
To find the result of the dilation, multiply each x and y coordinate by the scale factor, which in this case, is 1.5. I started out with the coordinate P, which had an original coordinate of (-2,1). In this case, I multiplied -2 by 1.5, and 1 by 1.5 to get (-3, 1.5). Since this is multiple choice, the only one with P as (-3, 1.5) is B, so we don't have to check the others.
Answer and Explanation:
Since this is an isosceles right triangle, you can use the ratio of side lengths specific to this type of triangle where both legs are the hypotenuse over root 2:
u = v = 164√2 / √2 = 164
so:
u = 164
v = 164