Answer:
Definition of bisector
Angle addition postulate
same side interior angles theorem
subtraction property of equality
Step-by-step explanation:
It is given that m║n, m∠1 = 65°,m∠2=60° and BD --> bisects ∠ABC . Because of triangle sum theorem, m∠3 = 55°. By the definition of bisector , ∠3 ≅∠4, so m∠4= 55°. Using the angle addition postulate , m∠ABC = 110°, m∠5 = 110° because vertical angles are congruent . Because of same side interior angles theorem, m∠5 +m∠6 = 180°. Substituting gives 110°+ m∠6 =180°, so by the subtraction property of equality , m∠6 = 70°.
1/2 * 1/2 = 1/4 there is a 25% chance that they will both occur
Answer: Volume of the cylinder = 
Step-by-step explanation:
Volume of cylinder = Area of base x height
Also, area of cross section = Area of base
Volume of cylinder = area of cross section x height
Given: Area of cross section = 
height = 8 cm
Volume of cylinder = 614 x 8

Hence, the volume of the cylinder = 
Answer:
The court house tower should be 51 feet tall.
Step-by-step explanation:
2.5+2.5=5 feet because 2+2=4 and 0.5+0.5=1. 4+1=5
25.5+25.5=51 because 25+25=50 and 0.5+0.5=1. 50+1=51
Answer: 74.93
Step-by-step explanation: if you heard of the line equals line method this should be able to help you.
299.75 25%
---------------=------------------
$1199 100%
so you cross multiply 1199 and 25 and then divide it by 100. which would be 299.75 that is the price per 1 year then you divide that value by 4 and that will be your answer.
299.75 divided by 4= 74.93
hope this helps