Answer:
y ≥ 28
Step-by-step explanation:
Isolate the variable. Treat the inequality sign as a equal sign, what you do to one side, you do to the other. Add 6 to both sides:
y - 6 (+6) ≥ 22 (+6)
y ≥ 22 + 6
y ≥ 28
y ≥ 28 is your answer.
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Answer:
Option D
Step-by-step explanation:
In this question we use properties of parallelogram and angle sum property of a triangle.
In parallelogram ABCD
![\angle ABC=40^\circ](https://tex.z-dn.net/?f=%20%5Cangle%20ABC%3D40%5E%5Ccirc%20)
As, we know that opposite angles of parallelogram are equal
Therefore,
![\angle ABC =\angle ADC =40^\circ](https://tex.z-dn.net/?f=%20%5Cangle%20ABC%20%3D%5Cangle%20ADC%20%3D40%5E%5Ccirc%20)
Now, in triangle ADC
We know that sum of all the angles of a triangle is ![=180^\circ](https://tex.z-dn.net/?f=%3D180%5E%5Ccirc)
![\angle ACD +\angle ADC +\angle DAC =180^\circ](https://tex.z-dn.net/?f=%5Cangle%20ACD%20%2B%5Cangle%20ADC%20%2B%5Cangle%20DAC%20%3D180%5E%5Ccirc)
![57^\circ +40^\circ +\angle DAC =180^\circ](https://tex.z-dn.net/?f=57%5E%5Ccirc%20%2B40%5E%5Ccirc%20%2B%5Cangle%20DAC%20%3D180%5E%5Ccirc)
![97^\circ + \angle DAC = 180^\circ](https://tex.z-dn.net/?f=97%5E%5Ccirc%20%2B%20%5Cangle%20DAC%20%3D%20180%5E%5Ccirc%20)
Subtracting 97 from both sides we get
![\angle DAC = 180^\circ - 97^\circ](https://tex.z-dn.net/?f=%20%5Cangle%20DAC%20%3D%20180%5E%5Ccirc%20-%2097%5E%5Ccirc%20)
![\angle DAC = 83^\circ](https://tex.z-dn.net/?f=%20%5Cangle%20DAC%20%3D%2083%5E%5Ccirc%20)
Measure of ![\angle CAD = 83^\circ](https://tex.z-dn.net/?f=%5Cangle%20CAD%20%3D%2083%5E%5Ccirc%20)
Answer:
-12
Step-by-step explanation:
Answer:
6 ways
Step-by-step explanation:
Given:
Books: Spanish, Maths and History textbooks (1 each)
Required
Determine the number of arrangements
In total, Nathan has 3 books.
The number of arrangements (n) is as follows:
The first book can be lined in 3 ways
The second book can be lined in 2 ways
The third book can be lined in 1 way
So,
![n = 3 * 2 * 1](https://tex.z-dn.net/?f=n%20%3D%203%20%2A%202%20%2A%201)
![n = 6](https://tex.z-dn.net/?f=n%20%3D%206)