The missing angle of the given triangle is 59°.
What is vertically opposite angles?
Angles that are vertically opposed to one another are always equal to one another. A vertical angle and the angle to which it is next are also supplementary angles; that is, they sum up to 180 degrees. As an illustration, if two lines connect to form an angle, say X=45°, then the angle's opposite angle is also 45°.
Here consider angle with 31° and 49° triangle is 1. We know that sum of all angles in triangle is add upto 180°. Then,
⇒ 49°+31°+x = 180°
⇒ 80° + x= 180°
⇒x= 180°-80°=100°
Then unknown angle in triangle 1 ia 100°.
Now according to the vertically opposite angle theorem , opposite angles are equal to each other. Then ,
In triangle 2 angle is 100° and 21°. Then missing angle is,
⇒ 100°+21°+missing angle =180°
⇒Missing angle = 180°-100°-21°
⇒Missing angle = 59°
Therefore the answer is 59°.
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The price charged for the batch of cookies is $8.925
Step-by-step explanation:
Marked price refers to the price at which an establishment offers to sale a product. For-profits to occur, marked price is always more than cost price (cost of producing the item)
Here the local bakery has marked up the price by 155%. This means that the local bakery has increased the marked price by 155% above the cost price accrued to them.
The cost price of the cookies= $ 3.5
Hence the increased marked price= (155/100) *3.5
Increased marked price= $ 5.425
Hence the charge customers need to pay for the cookies= increased marked price + cost price
Charge = $5.425+ $3.5= $8.925
the price charged for the batch of cookies is $8.925
Percentage error = 245-230/245 * 100 = 15/245 * 100 = 6.12%
After rounding off, it would be 6%
