Answer:
x= 6.5 cm
Step-by-step explanation:
When a tangent line touches the circle, it forms a right angle triangle at that point
Apply the Pythagorean relationship in this case
Given that the height is = 20.2 cm = b
The hypotenuse is = c= x+14.7 cm
General formulae is;
a² +b² =c²
x² + 20.2² =( x+ 14.7)²
x² + 408.04= x² +14.7x+14.7x+216.09
x² + 408.04= x² + 29.4 x +216.09.........................collect like terms
x²-x² + 408.04-216.09= 29.4x
191.95= 29.4x-------------------------------divide by 29.4 t0 get x
191.95/29.4 =x
x=6.5 cm
Parallel lines has equal slopes.
Line y = 3x + 2 has a slope of 3.
Required equation is y - 8 = 3(x - 5)
y = 3x - 15 + 8
y = 3x - 7
Answer:
x = 10°
Step-by-step explanation:
Step 1:
92° + x° + 78° = 180° Supplementary Angles
Step 2:
x° + 170° = 180° Combine Like Terms
Step 3:
x° = 180° - 170° Subtract 170° on both sides
Answer:
x = 10°
Hope This Helps :)
Answer: 21.375 cm2
Step-by-step explanation:
Area of rectangle = length x width = 3.5 x 4.4 = 15.75 cm2
Area of triangle = 1/2 x base x height = 1/2 x 2.5 x 4.5 = 5.625 cm2
Add rectangle and triangle area = 21.375 cm2
