Answer:
60 cm
Step-by-step explanation:
Parallelogram ABCD is shown in attached diagram. The diagonals of the parallelogram bisect each other, so
AE = EC
BE = ED
Ib DE = 3y + 6 cm, BE = 5y - 10 cm, then

Now, EC = 2y + 4, so

Since AE = EC, then AE = 20 cm
The brace that connects points B and D has the length

The brace that connects points A and C has the length

Answer:
B for the first one , and C for the second
Step-by-step explanation:
for the first question DEG which is 60, and GEF which is 120, would equal to 180 degrees, which would be DEF because its a linear pair.
For the second question the are alternate exterior angles, so the are opposite of each other and on the outside.
Answer: Weight of the remaining block of wood =400g
Step-by-step explanation:
Total Weight of five(5) blocks = 3kg = 3000g
Weight of 4 out of the 5 blocks = 650x 4= 2600g
Weight of the remaining block of wood =Total Weight of five(5) blocks-Weight of 4 out of the 5 blocks
= 3000g-2600g
=400g
Answer:
===============
<h3>Given</h3>
- Two parallel lines,
- Included triangle between the parallel lines,
- Two interior angles of the triangle are m and n,
- Another angle of 40°.
<h3>To find </h3>
- The sum of angles m and n
<h3>Solution</h3>
As per given, the missing interior angle is corresponding with 40° angle.
Since corresponding angles are equal, the third interior angle of the triangle is 40°.
Sum of three interior angles is 180°:
- m + n + 40 = 180
- m + n = 180 - 40
- m + n = 140
We see that each triangle takes up precisely one half of the parallelogram. From this, we see that the area of a triangle is one half the area of a parallelogram, or the area of a parallelogram is two times the area of a triangle