Answer:
x = 47 degrees.
Step-by-step explanation:
Note that the angle x + the angle 133 are on the same straight line DPC. So they add up to 180 degrees.
Therefore x + 133 = 180
x = 180 - 133
= 47 degrees.
Answer:
1024
Step-by-step explanation:
There are 4 bacteria at the start. We can make an equation to represent the phenomena explained in the question.
As it is written in the question that the bacteria culture doubles in every hour.
So,
Let t represent the unit of time
So the number of bacteria after t unit of time will be
Number of bacteria after t unit of time=4*2^t
We have to calculate number of bacteria after 8 hours, so t = 8
Number of bacteria after 8 hours=4*2^8
=4*256
=1024
So the bacteria after 8 hours in the culture will be 1024..
Answer:
Unit rate is 3 ounce of water per ounce of mix
Step-by-step explanation:
you combine 12 ounces of mix with 36 ounces of water.
12 ounces of mix for 36 ounces of water
For unit we need to find the ounces of water for 1 ounce of mix
12 ounces of mix for 36 ounces of water
so 1 ounces of mix for 36 / 12 = 3 ounces of water
3 ounces of water for 1 ounce of mix
Hence, 3 ounces of water per ounce of juice
Answer:
The answer to your question is (7, 0)
Step-by-step explanation:
Data
A (7, 3)
B (0, 7)
C (7, 0)
D (3, 7)
Process
1.- Substitute each point in the equation to find the answer
Point A y - 3 = m(x - 7)
Point B y - 7 = m(x - 0)
Point C y - 0 = m(x - 7)
Point D y - 7 = m(x - 3)
2.- Conclusion
The only possibility is that m = 3 and the answer will be the third point (7,0)
Answer:
True, they may not be congruent
Step-by-step explanation:
A figure cannot be determined as congruent from three angles alone. In order for two shapes to be congruent, all corresponding parts must be congruent. This means all the sides and angles of the two shapes must be the same in order for the two shapes to be congruent. If we know all the angles are the same, the sides could still be different lengths, so this does not prove congruency.