It would be 56 degrees since it's a vertical angle and to get the obtuse angles you just subtract 180 from 56 and there's your answer. Hope this helped! (':
Answer:
x < 2.5
Step-by-step explanation:
Allen has already run 3 hours and will run x amount more to finish. This is 3+x. He must finish under or less than 5.5 hours. So 3 + x < 5.5. You solve and find x < 2.5.
Answer: 14.73
Step-by-step explanation:
The given triangle is a right angle triangle.
EF^2 + DF^2 = ED^2
The hypotenuse is |ED| while the two shorter legs are |EF| and |DF|.
We can then apply the Pythagoras Theorem to find the length of EF.
(EF)^2 + (DF)^2 = (ED)^2
(EF)^2 + (12)^2 = (19)^2
(EF)^2 + 144 = 361
(EF)^2 = 361 - 144
(EF)^2 = 217
EF = 14.73
Arranging the given distances from sea level on the number line, we have;
- The error made by taking Egypt as being further from the sea level is assuming that the sea level is at the beginning (left) of the number line.
<h3>How can the number line be used to find the distance from the sea level?</h3>
The given elevation of the lowest points in the six countries are;
Country. Lowest point elevation (m)
China. →. -154
Egypt →. -133
Azerbaijan → -28
Serbia. →. 35
Israel. → -408
Laos. →. 70
Sorting the above countries from the country with the lowest point below sea level to the country with the highest point above sea level gives;
Israel → -408
China → -154
Egypt → -133
Azerbaijan → -28
Serbia. → 35
Laos. →. 70
On a number line, we have;
Israel < China < Egypt < Azerbaijan < Serbia < Laos
Relative to zero, which is the sea level, points -133 and -154 are located to the left of zero.
However, point -133 > -154, therefore, -154 < -133, the symbol < represents lesser (in this case 'lower') which indicates that China (point -154) is lower or further left from zero which is the sea level than Egypt (point -133).
The error is therefore mistaking the location of the sea level as being at the extreme left of the number line, rather than at the middle.
Learn more about the number line here:
brainly.com/question/4727909
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No, because the sum of any of the sides must be greater than all sides. 5.6 +4.0=9.6 which is less than 10.6, meaning that it is impossible to create a triangle with those lengths.