9514 1404 393
Answer:
x = 3.6
Step-by-step explanation:
The angle bisector divides the segments proportionally. This means they satisfy ...
bottom segment / side segment = x/6 = (6-x)/4
Multiplying by 12 gives ...
2x = 3(6 -x)
2x = 18 -3x . . . . . eliminate parentheses
5x = 18 . . . . . . . . add 3x
x = 3.6 . . . . . . . . . divide by 5
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<em>Alternate solution</em>
I like to try to work these mentally. The total of side lengths is 10, so the total base length (6) is 6/10 = 0.6 times that. Then x will be 0.6 times the left side length: 0.6·6 = 3.6 = x.
Answer:
see explanation
Step-by-step explanation:
The hypotenuse is the longest side thus is (4x + 1)
The legs are 2x and (4x - 1)
Using Pythagoras' theorem, then
(4x + 1)² = (2x)² + (4x - 1)² ← expanding factors
16x² + 8x + 1 = 4x² + 16x² - 8x + 1 , that is
16x² + 8x + 1 = 20x² - 8x + 1 ( subtract 20x² - 8x + 1 from both sides )
- 4x² + 16x = 0 ( multiply through by - 1 )
4x² - 16x = 0 ← factor out 4x from each term
4x(x - 4) = 0
Equate each factor to zero and solve for x
4x = 0 ⇒ x = 0
x - 4 = 0 ⇒ x = 4
Now x > 0, thus x = 4
2x = 2(4) = 8
4x - 1 = 4(4) - 1 = 16 - 1 = 15
4x + 1 = 4(4) + 1 = 16 + 1 = 17
Thus
perimeter = 8 + 15 + 17 = 40 cm
24 students forget their pencil out of 120 students.
Ratio for this mean for every 10 cats sold there was one dog
60/10 = ?
6 dogs
ratio = 60:6
Answer:
<h3>numbers of
Ostrich he keep =
725</h3>
<u>Step-by-step explanation:</u>
- Area of field = 30 × 155 + 90 × 45
- Area of field = 4650 + 4050
- Area of field = 8700 m²
numbers of Ostrich = 8700 ÷ 12
numbers of Ostrich = 725