Answer:
80 cm
Step-by-step explanation:
The diagonals divide the rhombus into four congruent triangles. The height of each triangle is 18/2 = 9, and the hypotenuse is 41. Using Pythagorean theorem, the width of each triangle is:
c² = a² + b²
41² = 9² + x²
x = 40
Therefore, the longer diagonal is 2×40 = 80.
Given:
The graph of a line segment.
The line segment AB translated by the following rule:

To find:
The coordinates of the end points of the line segment A'B'.
Solution:
From the given figure, it is clear that the end points of the line segment AB are A(-2,-3) and B(4,-1).
We have,

Using this rule, we get


Similarly,


Therefore, the endpoint of the line segment A'B' are A'(2,-6) and B'(8,-4).
Answer:
Fifty more than half the number of the oranges is one-hundred-and-twenty.
The sum of fifty and half the number of oranges is the same as one-hundred-twenty.
Step-by-step explanation:
The equation is 50 + one-half m = 120.
Assume the number of oranges=m
50+1/2m=120
1/2m=120-50
1/2m=70
m=70÷1/2
=140
All statement that applies includes:
1. Fifty more than half the number of the oranges is one-hundred-and-twenty.
50+1/2m=120
2. The sum of fifty and half the number of oranges is the same as one-hundred-twenty.
50+1/2m=120
Martha can use the two statements above to communicate the correct equation
Answer: .5
Step-by-step explanation:
1/5 = 20%
5/25=20%
.5= 50%
Hope this helps!