Answer:
The required proof is shown below.
Step-by-step explanation:
Consider the provided figure.
It is given that KM=LN
We need to prove KL=MN
Now consider the provided statement.
KM = LN Given
KM = KL+LM Segment addition postulate
LN = LM+MN Segment addition postulate
KL+LM = LM+MN Substitution property of equality
KL = MN Subtraction property of equality
The required proof is shown above.
Answer:
Step-by-step explanation:
Evaluate the Pythagorean Theorem for the triangle.
a² + b² = c²
5² + x² = 10²
25 + x² = 100
Subtract 25 from both sides.
x² = 75
Square root.
x = sqrt(75)
Expand the radical.
x = 5*sqrt(3)
Answer:
88
Step-by-step explanation:
The triangles are congruent. Also, a triangle has a sum of 180 degrees for its interior angles.
Angles D and A are both unknown.
Angles O and P are both 55.
Angles G and W are both 37.
37+55 = 92
That means there would be 88 degrees left for the unknown angle to get to the total of 180 degrees.
92 + 88 = 180
Answer:
264.
Step-by-step explanation:
Let x represent the number of trout in the lake.
We have been given that a group of naturalists catch, tag and release 121 trout into a lake. The next day they catch and release 48 trout, of which 22 had been tagged.
Using proportions, we will get:
Therefore, there would be approximately 264 trout in the lake.
Answer:
$237.72
Step-by-step explanation:
