To solve this, we need to know what vertical angles and what supplementary angles are. Vertical angles are each of the pairs of opposite angles made by two intersecting lines. And, by the Vertical Angles Theorem, we know that they have the same measure. Now onto supplementary angles. Supplementary angles are angles that add up to 180 degrees.
Let's say that one of the vertical angles is equal to x. That means that the other one is also equal to x, and their sum is 2x. Since we are trying to find out a situation where vertical angles are supplementary, or equal to 180 degrees, that means that 2x is equal to 180 degrees. This is satisfied only when x = 90 degrees, meaning that vertical angles are supplementary when they are right angles.
Answer: $715
Step-by-step explanation:
Given : Principal amount (P)= $550
Interest rate (r)= 3%
Time period (t) =10 years
WE know that the formula of simple interest is
Now, the total amount in account after 10 years = Principal+ S.I.
Therefore, the total amount in account after 10 years =
The number of days the packet of food last is A = 50 days
In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.
The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.
A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.
Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.
Given data ,
Let the number of days the packet of food last be A
And , from the unit conversion
1 kg = 1000 grams
The total amount of food in the packet = 1.5 kilograms
And , the amount Remi feeds her Guinea pig per day = 30 grams
So , number of days A = total amount of food in the packet / amount Remi feeds her Guinea pig per day
On simplifying , we get
A = 1500 / 30
A = 50 days
Hence , the number of days is 50
To learn more about unit conversion click :
#SPJ2
Answer:
the ratio of the area of the scaled drawing to the actual area of the patio is 1 square inch to 16 square feet.
Step-by-step explanation:
The actual area of the patio:
A = 20 feet long *16 feet wide = 320 square feet
The dimensions of the scale drawing are:
=> The scaled drawing area of the patio:
A = 5 in long * 4 in wide
= 20 square in
The ratio of the area of the scaled drawing to the actual area of the patio is:
the ratio of the area of the scaled drawing to the actual area of the patio is 1 square inch to 16 square feet.
x+y=37
x-y=7
2y=30
y=15
x+15=37
x=22
answer C
Answer:c
Step-by-step explanation: