Answer:

Step-by-step explanation:
Since Line LR bisects MN at point L, by the definition of bisector:

We want to determine ML if MN measures 152 feet.
MN is the sum of ML and LN. Hence;

Since ML = LN and MN = 152:

Simplify:

And divide. Therefore:

In conclusion, ML measures 76 feet.
Answer:
12
Step-by-step explanation:
If we extend this triangle we see that it makes a right triangle with legs of 6 and 6. The area of that triangle is 1/2 * 6 * 6 = 18. The part that is not shaded is a right triangle with legs 6 and 2, it's area is 6 * 2 / 2 = 6. The shaded area is 18 - 6 = 12.
Answer:
-6m+12=30
-6m=18
m=-3
Step-by-step explanation:
Okay this is a lot simpler than you might think...
find a common factor of 10 and 4
i'm going to pick 2
10/2=5 and 4/2=2
now we have 5:2
there are no more common factors that we can take out of this so this is its lowest form
m∠P = 144°
Solution:
PQRS is a parallelogram.
m∠P = 12a°, m∠Q = (4a - 12)° and m∠S = 3a°
<em>In parallelogram, opposite angles are congruent.</em>
m∠Q = m∠S
4a° - 12° = 3a°
Add 12° on both sides.
4a° - 12° + 12° = 3a° + 12°
4a° = 3a° + 12°
Subtract 3a° on both sides.
4a° - 3a° = 3a° + 12° - 3a°
a° = 12°
<u>To find the measure of angle P:</u>
m∠P = 12a°
= 12(12°)
m∠P = 144°