We know that the sum of the interior angles of a triangle equals 180, then,in this case we have the following equation:
then, solving for b, we get:
now that we have that b = 41, we can find the measure of each angle:
A bike helmet which usually costs $57 is discounted 20%. About how much is the discount amount?
1 answer:
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Let's assume
the price of each train ticket is x
we are given
total number of family members =5
so, total cost of ticket = total number of family members*the price of each ticket
so, total cost of ticket =5*x
so, total cost of ticket =5x
now, we have
each family member buys a boxed lunch for $6.50
so, total cost of lunch box = total number of family members*price of each lunch box
so, total cost of lunch box = 5*6.50
total cost of trip = total cost of ticket+total cost of lunch box
we are given
total cost of trip is $248.50
now, we can plug values
and we get
now, we can solve for x
so,
the price of each train ticket is $43.2..........Answer
The complete proof for the given parallelogram is given in the image attached below.
<h3>What is a Parallelogram?</h3>A parallelogram is a quadrilateral whose opposite sides are parallel and also congruent to each other.
The complete proof would be as shown below:
1. ABCD is a parallelogram [given]
2. AB║CD [Definition of parallelogram]
3. ∠1 ≅ ∠2, ∠3 ≅ ∠4 [alternate interior angles theorem]
4. AB ≅ CD [Definition of parallelogram]
5. ΔABE ≅ ΔCDE [ASA]
6. AE ≅ CE, BE ≅ DE [CPCTC]
7. AC and BD bisects each other at E [definition of segment bisector]
Learn more about parallelogram on:
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A principle square root of a real number that's not negative, such as 49, is the square root of that number that is not negative.
If you take the square root of 49, you get either -7 or 7, since both
and 
equal 49. However, the principle square root would be A) 7, since it's not negative.
If you take the square root of 49, you get either -7 or 7, since both