Use algebra for such problems
let, Angle COD = x
Angle KOD = y
Angle KPC = z
Given ,. x - y = 61° ( Equation 1 )
x - z = 53° ( Equation 2 )
Subtract 1st equation from 2nd and you'll get :
z - y = 8° ( Equation 3 )
Now since , x + y + z = 180° ( Equation 4 )
Add Equation 3 to Equation 4 and you'll get
x + 2z = 188° ( Equation 5)
From Equation 2 we know that , x -z = 53°
or, x = 53° + z ( Equation 6 )
Put this value of 'x' in Equation 5 and solve for z. you'll get :
(53° + z) + 2z = 188°
or
3z = 188 - 53 = 135°
solving for z we get
z = 45°
put this value of z in Equation 5
x + ( 2 x 45° ) = 188°
or
x = 188° - 90° = 98°
hence , Angle COD = 98°
Answer:
10.75+4.98+3.21=18.94
20-18.94= 1.06
Step-by-step explanation:
up their
Answer:
h = 76
Step-by-step explanation:
2 + h - 48 = 30
h + 2 - 48 = 30
h - 46 = 30
h - 46 + 46 = 30 + 46
h = 76
Answer:
1. <B, <A, <C
2. <E, <D, <F
Step-by-step explanation:
Recall: the longest side of a triangle would be opposite the largest angle, while the shortest side of a triangle would be opposite the smallest angle.
1. <B is opposite the shortest side, 3 (smallest angle)
<A is opposite the medium side, 4 (medium angle)
<C is opposite to the largest side, 5 (largest angle)
Therefore, the angles in ascending order would be:
<B, <A, <C
2. <E is opposite the shortest side, 5 (smallest angle)
<D is opposite the medium side, 6 (medium angle)
<F is opposite to the largest side, 7 (largest angle)
Therefore, the angles in ascending order would be:
<E, <D, <F
Answer:
15 miles
Step-by-step explanation:
12 * 440 = 5280 (yards every day)
5280 * 5 = 26400 (yards per week)
26400 *0.000568182 = 15 miles
