Answer:
<I= 15degrees
Step-by-step explanation:
Using the cosine rule formulae;
j² = i²+k²-2i cos <J
j² = 37²+57² - 2(37)(57)cos <141
j² = 1369+ 3249- 4218cos <141
j² = 4618- 4218cos <141
j² = 4618-(-3,278)
j²= 7,896
j = √7,896
j = 88.86inches
Next is to get <I
i² = j²+k²-2jk cos <I
37² = 88.86²+57² - 2(88.86)(57)cos <I
1369 = 7,896.0996+ 3249- 10,130.04cos <I
1369 = 11,145.0996 - 10,130.04cos <I
1369 - 11,145.0996 = - 10,130.04cos <I
-9,776.0996=- 10,130.04cos <I
cos <I =9,776.0996 /10,130.04
cos<I = 0.96506
<I = 15.19
<I= 15degrees
3/5
= (3*2) / (5*2)
= 6/10
3/5
= (3*3) / (5*3)
= 9/15
Two ratios that are equivalent to 3/5 is 6/10 and 9/15~
Answer:
X=12
Step-by-step explanation:
Isolate the variable:
4x/4 = 48/4
Simplify:
X=12
Hope this helps!
Answer:
108°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
2a is an exterior angle, thus
2a = a + 10 + 44 = a + 54 ( subtract a from both sides )
a = 54
Thus 2a = 2 × 54 = 108° ← exterior angle