Answer:
If AB and CD intersect at point P such that P is between A and B and is also between C and D, then ∠APC and ∠BPD are a pair of vertical angles.
Step-by-step explanation:
The diagram is a sketch of a counterexample. Notice that ∠APC and ∠BPD are actually the same angles and are not vertical angles.
If P is between A and B and is also between C and D, then ∠APC and ∠BPD are vertical angles. Then the statement can be completed as:
If AB and CD intersect at point P such that P is between A and B and is also between C and D, then ∠APC and ∠BPD are a pair of vertical angles.
Answer:
5/7
Step-by-step explanation:
In order to multiply fractions, multiply the numerators together and multiply the denominators together - the answers will be the numerators and denominators of the product, respectively. Also, remember that 5 can also be expressed as in fraction form since it is a whole number.
Knowing this, multiply like so:
·
Therefore, 5/7 is the answer.
Answer:
b = 7
Step-by-step explanation:
Since the triangle is right use the tangent ratio to solve for b
and the exact value
tan30° = , thus
tan30° = =
and
=
( cross- multiply )
b = 7