Answer:
1) x ≤ -2;
2) x > 2;
3) x - 2 < 0
4) 2 ≤ x;
5)-2 < x;
Step-by-step explanation:
≤ means equal to or smaller than;
≥ means equal to or greater than;
< means smaller than;
> means greater than;
In addition, ≤ and ≥ are closed dots in the intervals. < and > are open dots in the intervals.
1) x ≤ -2; By looking at the intervals, the dot is -2, and the arrow is going to the left sides, -4, that the numbers were in a range of smaller than -2. And also because it's a closed dot, it means equal to or smaller than.
2) x > 2; The number starts in 2 with an open dot, and goes to 4, which means x in a range that greater than 2 but not equal to.
3) x - 2 < 0, we get x < 2, by plus 2 in both sides. The number starts in 2 with an open dot and goes to -4, which means x becomes smaller than 2 but not equal to.
4) 2 ≤ x; The number starts in 2 with a closed dot and goes to 4, the x is places in a number range that is equal to or greater than 2.
5)-2 < x; The number starts in -2 with an open dot and goes to 4, which means x becomes bigger than -2 but not equal to.
The numerical sum of the degree measures of m ∠DEA and m ∠AEF and m ∠DEF is 360°; The numerical measures of the angles is,
m ∠DEA = 56°
m ∠AEF = 158°
m ∠DEF = 146°
Based on the given data,
m ∠DEA= x + 30,
m ∠AEF= x + 132, and
m ∠DEF= 146 degrees
If the sum of two linear angles is 360° then, they are known as supplementary angles.
∠A + ∠B + ∠C = 360°, (∠A and ∠B and ∠C are linear angles.)
So,
We can write,
m ∠AEF + m ∠DEA + m ∠DEF = 360°
( x + 132) + (x + 30) + 146 = 360°
x + 30 + x + 132 + 146 = 360°
2x + 308 = 360°
2x = 360° - 308
x = 52/2
x =26
Now, we will substitute the value of x = 26° in the ∠DEA and ∠AEF, hence we get:
m ∠DEA = x + 30
m ∠DEA = 26 + 30
m ∠DEA = 56 degrees
Also,
m ∠AEF = x + 132
m ∠AEF = 26 + 132
m ∠AEF = 158
Hence,
m ∠DEA + m ∠AEF + m ∠DEF = 360°
56 + 158 + 146 = 360°
360° = 360°
Therefore,
Therefore, the numerical sum of the degree measures of m ∠DEA and m ∠AEF and m ∠DEF is 360°; The numerical measures of the angles is,
m ∠DEA = 56°
m ∠AEF = 158°
m ∠DEF = 146°
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Answer: 13 times
Step-by-step explanation:
78 / 6 = 13 times
Answer:
(
−
1
,
−
16
)
Step-by-step explanation:
