Mathematical proofs are used to prove or disprove mathematical statements.
<h3>Mathematical theorems </h3>
The theorems to use are:
- The sum of angles on a straight line is 180 degrees
- Alternate angles are congruent
<h3>The proof</h3>
From the question, we have: 
This means that, ABC is a triangle
Also, we have:
BP || AC
This means that lines BP and AC are parallel
So, the following angles are congruent by alternate angle theorem
.
The angles on a straight line add up to 180 degrees.
So, we have:
By substitution, the above equation becomes
Rewrite the equation as:
Hence, the statement that has been proved
Read more about mathematical proofs at:
brainly.com/question/25296908
Answer:
those are two different ways you can split the shape
Answer:
0.945p
Step-by-step explanation:
Let the original price be p.
Increased price due to inflation = 5% of p
= 0.05 p
Price after increased 5% = p + 0.05p = 1.05p
Reduced price for a sale = 10% of (1.05p)
= 0.1 × 1.05p
= 0.105p
Price after reduction 10% = 1.05p – 0.105p = 0.945p
Hence the final price is 0.945p.
Answer:
5.5
Step-by-step explanation:
1+1+1 3/4+1 3/4= 5.5
5.5*2=11
11/2=5.5
Answer:
18 stickers.
Step-by-step explanation:
Cindy buys 18 more stickers in the start. This results in 13+18= 31 stickers. She then gets five for her birthday. 31+5=36 so she now has 36 stickers but she then gives eight away which means she has 36-8=28 stickers. She uses ten stickers to decorate so Cindy has 28-10=18 stickers left
