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3 years ago

true or false any point that belongs to the angle bisector of a given angle is equident to the sides of that angle

Mathematics

1 answer:

Roman55 [17]3 years ago

4 0

Answer:

True

Step-by-step explanation:

You can show this using the HA congruence theorem for right triangles. The distance of interest is the perpendicular distance from the point to the side of the angle. The distance from the point to the vertex is the same for both triangles (reflexive property), and the vertex angles are the same (definition of angle bisector). Hence the conditions required for HA congruence are met.

The distances from the point to the sides are then corresponding parts of congruent triangles, so are congruent. That is, the distance is the same, so the point is equidistant from the sides.

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Let p, q, and r represent the following statements"

Nitella [24]

In logic, own symbols are used in order to be able to represent the relations between propositions in a general and independent way to the proposition, in order to be able to find the relationship process that operates in the communicated message, the propositional logic.

For this purpose there are, among others, the following logical operators: conjunction (and) ∧, disjunction (or) ∨, denial (not) ¬, conditional (if - then) ⇒ and double conditional (if and only if, iff) ⇔.

So for this case we have:

Answer

a) Sam had pizza last night if and only if Chris finished her homework.

p⇔q

b) Pat watched the news this morning iff Sam did not have pizza last night.

r⇔¬p

c) Pat watched the news this morning if and only if Chris finished her homework and Sam did not have pizza last night.

r⇔(q∧¬p)

d) In order for Pat to watch the news this morning, it is necessary and sufficient that Sam had pizza last night and Chris finished her homework.

r⇔(p∧q)

e) q ⇔ r

Chris finished his homework if and only if Pat watched the news this morning

f) p ⇔ (q ∧ r)

Sam had pizza last night if and only if Chris finished his homework and Pat watched the news this morning

g) (¬p) ⇔ (q ∨ r)

Sam didn't have pizza last night if and only if Chris finished his homework or Pat watched the news this morning

h) r ⇔ (p ∨ q)

Pat watched the news this morning if Sam had pizza last night or Chris finished his homework

4 0

3 years ago

Anyone wanna help me with this‍‍

Angelina_Jolie [31]

Question 1 Answer: both of them equal 20

Step-by-step explanation: when you add 9+3 it equals 12 then you add 8 and that makes 20. 9+8 also equals 17 then you add 3 which equals 20

8 0

3 years ago

Find the value of x to the nearest tenth.

vladimir1956 [14]

Answer:

The answer to your question is x = 14.7

Step-by-step explanation:

Data

∠A = 20°

∠B = 46

a = 7

b = x

Process

To solve this problem use, the law of sines. This law states that the ratio of a side of a triangle to the sine of the opposite angle is the same for all three sides.

The law of sines for this problem is

x / sin 46 = 7 / sin 20

-Solve for x

x = 7 sin 46 / sin 20

-Simplification

x = 7 (0.719) / 0.342

x = 5.035/0.342

-Result

x = 14.7

6 0

4 years ago

Perform the operation(s) and write the answer in simplest form. (12+13)÷154

wariber [46]

Answer:

0.162

Step-by-step explanation:

(12+13)/154

25/154

0.162

7 0

3 years ago

Simplify the ratio 70lbs to 42lbs to lowest terms

Anit [1.1K]

Simplify by dividing the two by 14

7 0

3 years ago