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:
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Answer:
20
Step-by-step explanation:
Answer:
Step-by-step explanation:
12)
Use the formula for simple interest, i = p r t, where i is the interest earned, r is the interest rate as a decimal fraction, and t is the time elapsed. Here,
i = $25 = p(0.015)(2), or $25 = 0.03p.
Dividing both sides by 0.03, we get p = $25/0.03, or p = $833.33
14)
Use the same formula: $45.60 = $2,400(0.038)t.
$45.60 $45.60
Then t = ------------------------- = ----------------------- = 2 (years)
($2,400)(0.038) 91.2
The cost of 12 units would be $614.40.
This is found by dividing $204.80 by 4 to get $51.20 (cost per single unit), then multiplying $51.20 by 12 to get $614.40 (cost for 12 units).
I hope this helps!
