3 x - 246 = 76 - 11 x
1 answer:
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Answer:
41° and 49°
Step-by-step explanation:
Given:
Angle 1 and angle 2 are complementary angles.
The measures of angle 1 is 8 more than the measure of angle 2.
Question asked:
Determine the measures of angle 1 and 2.
Solution:
Let ∠1 =
Then ∠2 = (given)
As we know that sum of complementary angles are 90° and here given that angle 1 and angle 2 are complementary angles which means,
∠1 + ∠2 = 90°
°
°
Subtracting both sides by 8,
°
°
Dividing both sides by 2,
°
∠1 = °
∠2 =
∠2 = = 49°
Therefore, the measures of angle 1 and 2 are 41° and 49°
Answer:
W1 = ( -75, 20, 1 , 0 )
W2 = ( 25, -7 , 0, 1 )
Step-by-step explanation:
attached below is the remaining part of the solution
for a homogenous system of equation ; Ax = 0
x1 + 4x2 -5x3 + 3x4 = 0
-x2 + 20x3 -7x4 = 0 note: x3 and x4 are free variables
we can take x3 = 0 and x4 = 1 , hence ; x2 = -7
∴ x1 - 28 + 3 = 0 = x1 = 25
W2 = ( x1 ,x2, x3, x4 ) = ( 25, -7 , 0, 1 )
now lets take x3 = 1 and x4 = 0 hence x2 = 20 , x1 = -75
∴ W1 = ( x1 , x2 , x3, x4 ) = ( -75, 20, 1 , 0 )
