In order to get a good workout on your treadmill, you figure you have to run 528 feet in one minute. What are the possible numbe
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Ignoring the triangle first off, it is just a parallelogram. We can find the area with:
(see first diagram).
Next, we need to find the area of the triangle. Its a right angle triangle, so the area can be found by:
where w and l are the lengths of the two smaller sides. We have one, and the longer side (hypotenuse) so we can use Pythagoras' Theorem to find the other small side (see second diagram).
Then find the area:
Take the area of the triangle away from the area of the paralellogram:
Next, we need to find the area of the triangle. Its a right angle triangle, so the area can be found by:
where w and l are the lengths of the two smaller sides. We have one, and the longer side (hypotenuse) so we can use Pythagoras' Theorem to find the other small side (see second diagram).
Then find the area:
Take the area of the triangle away from the area of the paralellogram:
Answer:
Therefore.
angle 1 is congruent to angle 3 ...Proved
The proof with steps are below with Fill in the blanks
Step-by-step explanation:
Complementary Angles:
Two angles are Complementary when they add up to 90 degrees.
Example 40° and 50° are Complementary Angles.
If 'x' and 'y' are Complementary Angles the we have
Here,
Given:
angle 1 and angle 2 are complementary
angle 3 and angle 2 are complementary
To Prove:
angle 1 is congruent to angle 3
Proof:
Step 1:
angle 1 and angle 2 are complementary and angle 3 and angle 2 are complementary because it is Given.
Step 2:
By the definition of complementary angles,
m of angle 1 + m of angle 2 = _90°__ and m of angle 3 + m of angle 2 = _90°_.
Step 3:
Transitive Property of Equality.
Then m of angle 1 + m of angle 2 = m of angle 3 + m of angle 2 by the Transitive Property of Equality.
Step 4:
Subtract m of angle 2 from each side. By the Subtraction Property of Equality, you get
m of angle 1 = _measure of angle_3_.
Step 5:
Angles with the same measure are _Congruent__,
Step 6:
so angle 1 is congruent to angle 3.
Therefore.
angle 1 is congruent to angle 3 ...Proved