The base of the prism is a 6 cm square. Any cross section parallel to the base has the same dimensions as the base, so is a 6 cm square. Its area is ...
(6 cm)² = 36 cm²
Answer:
Step-by-step explanation:
Answer:
Sorry but I love you
Step-by-step explanation:
Answer:
The first x = 4
The second x = 6.25
Step-by-step explanation:
For the first question. We need to make use of the midsegment theorem which says, if you have a trapezoid with base1 and base2, then the midsegment is given as:
(Base1 + Base 2)/2.
We are given Base 1 = 5x + 3 and Base 2 = 12x – 3 and the midsegment, JK = 34. To find x we have:
(5x + 3 + 12x – 3)/2 = 34
This gives: 17x/2 = 34.
Therefore, x = (34 x 2)/17 = 4. Thus, x = 4.
As for the second question, we have two diagonals of the rectangle, FH and JG. We are given that JG = 40. We know that the diagonals of the rectangle are equal, therefore FH = 40 as well.
We are told that M is the midpoint, meaning FM is half of the diagonal FH. Mathematically this can be written as:
FM = FH/2
Given that FM = 3.2x and FH = 40, we have:
3.2x = 40/2
3.2x = 20
x = 20/3.2
x = 6.25
In a parallelogram the 4 angles need to sum to 360 degrees. There are two sets of identical angles, so one of the other angles would also be 80 degrees.
Now find the other two angles:
360 - 80 - 80 = 200 degrees
200 degrees / 21 = 100 degrees each.
The other 3 angles are: 80, 100 and 100
