Answer: The measure of the third angle of a triangle is 64°.
Step-by-step explanation:
Since we have given that
First angle = 44°
Second angle = 72°
Let the third angle be x.
As we know that the sum of all three angles of a triangle is supplementary.
Hence, the measure of the third angle of a triangle is 64°.
Answer: the number of small boxes shipped is 14 and the number of large boxes shipped is 12.
Step-by-step explanation:
Let x represent the number of small boxes shipped and
Let y represent the number of large boxes shipped.
A total of 26 boxes of paper were shipped. This means that
x + y = 26
The volume of each small box is 7 cubic feet and the volume of each large box is 13 cubic feet. The combined volume of small and large boxes shipped is
7x + 13y = 254 - - - - - - - - - - - - - - - -1
Substituting x = 26 - y into equation 1, it becomes
7(26 - y) + 13y = 254
182 - 7y + 13y = 254
- 7y + 13y = 254 - 182
6y = 72
y = 72/6 = 12
x = 26 - y = 26 - 12
x = 14
Answer:
Compress the graph
Flip the graph
Shift the graph 4 units to the left
Step-by-step explanation:
When functions are transformed there are a few simple rules:
- Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
- Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
- Multiplying the function by a number less than 1 compresses it towards the x-axis.
- Multiplying the function by a number greater than 1 stretches it away from the x-axis.
This graph has been multiplied by -1/3 which is less than 1. It will be compressed.
It will also flip the graph since it is changing to a negative and be an upside down U.
This graph has x added to by 4. It will shift left 4 units.
Answer:
it would be 266.83
Step-by-step explanation: