Answer:
see explanation
Step-by-step explanation:
To find x use the sine ratio in the right triangle and the exact value
sin60° = , then
sin60° = =
=
( cross- multiply )
x = 28
( divide both sides by
)
x = 28
-----------------------------------------------------------
To find y use the tangent ratio in the right triangle and the exact value
tan60° = , then
tan60° = =
=
( multiply both sides by y )
14 = y
( divide both sides by
)
y = 14
Answer:
AB and CD are parallel lines
Step-by-step explanation:
• Parallel lines have equal slopes
• The slopes of perpendicular lines are negative reciprocals
Calculate the slope m using the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
let (x₁, y₁ ) = A(1, 4) and (x₂, y₂ ) = B(3, 8)
m = =
= 2
let (x₁, y₁ ) = C(- 1, 6) and (x₂, y₂ ) = D(3, 14)
m = =
= 2
Since slope of AB and CD are equal then lines are parallel
Answer:
Step-by-step explanation:
Rational numbers:
-are all numbers you can write as a quotient of integers ,
-include terminating decimals. For example,
-include repeating decimals. For example,
Irrational numbers:
-have decimal representations that neither terminate nor repeat. For example,
-cannot be written as quotients of integers