Answer:
-1 < m ≤ - 5
Step-by-step explanation:
Your expression includes: m, -1, -5, >, ≤
m is the value being compared so it will be in the middle.
# sign m sign #
m is no less than -1: no less than means it is greater than -1, but does not include -1. Therefore, our sign is >
m > -1
m is less than or equal to -5. This means we use ≤ because it can equal -5.
m ≤ -5
Now combine the two expressions
m > -1 – This can also be written as -1 < m.
m ≤ -5
-1 < m ≤ - 5
Answer:
m∠1=80°
m∠2=112°
m∠3=131°
m∠4=80°
m∠5=37°
Step-by-step explanation:
First you have to find m∠2
To do that find m∠6 (I created this angle shown in pic below)
Find m∠6 by using the sum of all ∠'s in a Δ theorem
m∠6=180°-(63°+49°)
m∠6=68°
Now you can find m∠2 with the supplementary ∠'s theorem
m∠2=180°-68°
m∠2=112°
Then you find m∠5 using the sum of all ∠'s in a Δ theorem
m∠5=180°-(112°+31°)
m∠5=37°
Now you can find m∠1
m∠1=180°-(63°+37°)
m∠1=180°-100°=80°
m∠4 can easily be found too now:
m∠4=180°-(63°+37°)
m∠4=80°
m∠3=180°-49°
m∠3=131°
Divide 4 to both sides of the equation
Answer:
You can have it as a decimal (0.6 repeatings), or you can have it as a fraction. It would be easier to keep it as a fraction.
We will verify each options
option-A:
we can factor it
so, this is not irrational.........Answer
option-B:
Since, it can not be factored
so, this is irrational.........................Answer
option-C:
we can factor it
so, this is not irrational.........Answer
option-D:
we can factor it
so, this is not irrational.........Answer
