Answer:
Step-by-step explanation:
The diagonals of the parallelogram are A(-5, -1), C(-1, 5) and B(-9, 6), D(3, -2).
Slope of diagonal AC = (5 - (-1)) / (-1 - (-5)) = (5 + 1) / (-1 + 5) = 6 / 4 = 3/2
Slope of diagonal BD = (-2 - 6) / (3 - (-9)) = -8 / (3 + 9) = -8 / 12 = -2/3
For the parallelogram to be a rhombus, the intersection of the diagonals are perpendicular.
i.e. the product of the two slopes equals to -1.
Slope AC x slope BD = 3/2 x -2/3 = -1.
Therefore, the parallelogram is a rhombus.
The answer should be 38! Explanation: the surface area of the rectangles is 6+8+12. The surface area of the triangles is 6+6. Add it all together and you have 38.
Answer:
5. Katelyn worked 11 hours at the grocery store.
6. 5pounds of steak
Step-by-step explanation:
5. let x hrs be the no. of hours Katelyn worked at the grocery store.
amnt of money she earnt = 9x + (15-x)×15
= 9x -15x + 225
= -6x + 225
-6x + 225 = 159
6x = 225-159
6x= 66
x= 11
Katelyn worked 11 hours at the grocery store.
6. Let x be the pounds of steak he purchased.
total paid= 13.50x + (8-x)×3.25
= 13.50x -3.25x +26
= 10.25x +26
10.25x+ 26=77.25
10.25x = 77.25-26
10.25x= 51.25
x=5
try using the same method for qn 7 too
Answer: Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
Step-by-step explanation:
Hope this is what you were looking for
Letter of application is intended to land in your desired job or institute. Letter of application is a letter written to the institutions that a person wanted to be in. This will be tend the basis of the impression of the receiver, or the interviewers.