Answer:
In the given two column proof two sides and included angles are equal.
Triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles .In the figure sides BD≅BD , AB≅ BC and <ABD ≅,BDD Therefore triangle ABD and triangle CBD are congruent by SAS property of congruence.
Answer:
Step-by-step explanation:
Keep in mind that 1 week is equivalent to 168 hours, or, alternatively, to (7 days)(24 hours per day). Thus, Answer 5 is correct.
Answer:
1.Corresponding angles theorem
2.Linear postulate
3.By the definition of supplementary angles
Step-by-step explanation:
We are given that
is a transversal.
We have to prove and are supplementary
Proof:
1.Given that is a transversal.
We know that
<u>Reason:Corresponding angles theorem</u>
Therefore,
by the definition of congruent.We also know that, by definition, angle 3 and angle 1 are a linear pair.
Therefore, they are supplementary by linear pair postulate
By the definition of <em>supplementary angles</em>
Now, we can substitute
Then, we get
Therefore, by the definition of supplementary angles,angle 3 and angle 5 are supplementary
Answer:
648
Step-by-step explanation:
360 miles / 5 hours = 72 miles per hour
72 mph × 9 hours = 648 miles
hi,
you must replace x by the number between parenthese.
I show you with the first one and let you do the second one
p(x) = 11x^5 -11x^4 - 5x^2 +15x-8
p(-4) = 11 (-4)^5 - 11 (-4)^4 -5(-4)² +15(-4) -8
p(-4) = 11 ( -1024- 256) - 5*16 -60-8
p(-4) = 11 ( -1280) -80-60-8
p(-4) = - 14080 - 148
p(-4) = - 14 228