Answer:
The value of x is 17
Step-by-step explanation:
The sum of the angles in a triangles is 180°
From the question:
In ΔVWX,
m∠V=(4x+3) ∘
m∠W=(x+7) ∘
m∠X=(5x+0) ∘ .
Hence:
m∠V + m∠W + m∠V = 180°
4x + 3 + x + 7 + 5x + 0 = 180°
Collect like terms
4x + x + 5x + 3 + 7 + 0 = 180°
10x + 10 = 180°
Subtract 10 from both sides
10x + 10 - 10 = 180° - 10
10x = 170
Divide both sides by 10
10x/10 = 170/10
x = 17
The value of x is 17
Answer:
{-infinity, infinity}
no solution
Step-by-step explanation:
|x| +15≥4
Subtract 15 from each side
|x| +15-15≥4-15
|x| ≥-11
This is always true so x can be and real number
{-infinity, infinity}
-2|5x+3| = 8
Divide by -2
-2/-2|5x+3| = 8/-2
|5x+3| = -4
This can never happen because absolute values are zero or greater
no solution
Answer:
see explanation
Step-by-step explanation:
The diagrams show triangular figures
The first figure has 1 dot
The second has 1 + 2 = 3 dots
The third has 3 + 3 = 6 dots
The fourth has 6 + 4 = 10 dots
Note the pattern is + 2 , + 3, + 4
Thus the fifth pattern is 10 + 5 = 15 dots
Answer:3/20
Step-by-step explanation:
Fraction of total area mowed = (3/5) + (1/4) = 17/20
Therefore fraction of total area left = 1 - (17/20) = (20/20) - (17/20) = 3/20
