Answer:
x = 30
Step-by-step explanation:
Lines A and B are parallel lines and a transverse line is intersecting these lines at two distinct points.
By the definition of interior consecutive angles, sum of the measures of interior consecutive angles is 180°.
4x + 2x = 180°
6x = 180
x = 30
Therefore x = 30 will be the answer.
the norm of the distance is |d|=97.95 ft
the vector of the distance is d=96i+18j+27k
- Vector : a quantity having direction as well as magnitude, especially as determining the position of one point in space relative to another.
- an organism, typically a biting insect or tick, that transmits a disease or parasite from one animal or plant to another.
- Step-by-step explanation:
- As per the attached image, the distance from the origin of the x y & z axis is where the vector starts and it ends at the opposite side of the room.
- Calculating the norm as the square root of the sum of each side of the rooms squared & calculating the vector as each side of the room multiplied by the i, j & k axis, the results are as mentioned above.
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Answer: 832
Step-by-step explanation:
9514 1404 393
Answer:
∠A = 44°
Step-by-step explanation:
In order to find the measure of angle A, you need to know the value of the variable x. This means you need some relation that you can solve to find x.
Happily, that relation is "the sum of angles in a triangle is 180°." This means ...
84° +(x +59)° +(x +51)° = 180°
(2x + 194)° = 180° . . . collect terms
2x = -14 . . . . . . . . . . divide by °, and subtract 194
x = -7 . . . . . . . . . . . .divide by 2
Now, the measure of angle A is ...
∠A = (x +51)° = (-7 +51)°
∠A = 44°
a is given to us so just plug a into the first equation:
b-3 - 3b =9
Add 3 to both sides:
b-3b=12
Combine like terms:
-2b=12
Divide by -2 to get b by itself:
b=-6
The only answer with b as -6 is the first one, (-9,-6)