Answer:
52degrees
Step-by-step explanation:
Let the measure of the largest angle be x
middle angle be y
smallest angle be z
Since the sum of angle in a triangle is 180 degrees, hence;
x + y + z = 180 .... 1
If the measure of the largest angle is 32 less than 3 times the smallest angle, then;
x = 3z - 32
3z = x+ 32
z = x+32/3 ..... 2
If he measure of the middle angle is 8 more than half the measure of the largest angle, then;
y = x/2 + 8 .... 3
Substitute 2 and 3 into 1;
x + x/2 + 8 + (x+32)/3 = 180
multiply through by 6
6x + 3x + 48 + 2(x+32) = 1080
9x + 48 + 2x + 64 = 1080
11x + 112 = 1080
11x = 1080-112
11x = 968
x = 968/11
x = 88 degrees
Get the middle angle y;
Since y = x/2 + 8
y = 88/2 + 8
y = 44 + 8
y = 52 degrees
Hence the measure of the middle angle is 52degrees
1.0 2.39 3.3 4.-17 5.. 15 6. -24 7. 43 8. 39 9. -11 10.-17
Answer: ok i kown
Step-by-step explanation:
i kown
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The scale of the drawing is 50 m per grid square.
The magnitude of the resultant can be found using the Pythagorean theorem:
r = √(n² +e²)
r = √(500² +200²) = 100√29 ≈ 538.52 . . . meters
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The direction angle can be found using the arctangent function.
The angle east of north is ...
arctan(200/500) ≈ 21.8014°
The resultant is 538.52 meters in the direction 21.8° east of north.
