Answer:
8 cm
Step-by-step explanation:
(See the image attached for details)
- The blue segment measures 15 cm
- The green segment measures 7 cm
- The green and yellow segment when added form the blue segment
- So: ? + 7 = 15
Solve:
? + 7 = 15
Subtract 7 on both sides:
? + 7 = 15
-7 -7
? = 8 cm
Therefore, the yellow segment, or the missing side length, measures 8 cm.
Answer:
x = 13
Step-by-step explanation:
6x + 14 + 4x - 8 + 2x + 18 = 180 {Angle sum property of tiangle}
6x + 4x + 2x + 14 - 8 +18 = 180 {Combine like terms}
12x + 24 = 180 {Subtract 18 from both sides}
12x = 180 - 24
12x = 156 {Divide both sides by 12}
x = 156/12
x = 13
The variable s I equal to the number 2
Use the Pythagorean theorem to find z:
z = √(6^2 + 9^2)
z= √(36 + 81)
z = √117
z = 3√13 = 10.8
Use leg rule to find x:
x/6 = 6/9
Cross multiply:
9x = 36
Divide both sides by 9:
x = 36/9
x = 4
Use Pythagorean theorem to find y:
y = √(6^2 + 4^2)
y= √(36 + 16)
y = √52
y = 2√13 = 7.2