Answer:
k = 3
Step-by-step explanation:
Given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 18 when x = 6 , then
18 = 6k ( divide both sides by 6 )
3 = k
Answer:
1/2
Step-by-step explanation:
Answer:
19.4 feet
Step-by-step explanation:
Since the triangle has a right angle( as one of the angles in it is equal to 90°), we may find the length of the unknown side using the trigonometric notations SOH CAH TOA where
SOA stands for
Sin Ф = opposite side/hypotenuses side
Cosine Ф = adjacent side/hypotenuses side
Tangent Ф = opposite side/adjacent side
Given that the measure of ∠G=90° and ∠E=40°
EF is the hypotenuse side
FG is the opposite side and
GE is the adjacent side. As such if EF = 75 feet
Cos 75 = GE/75
GE = 75 Cos 75°
= 19.41 feet
≈ 19.4 feet in the nearest tenth of a foot
Answer:
Step-by-step explanation:
Q3
Corresponding angles are congruent
- 6x - 11 = 37
- 6x = 11 + 37
- 6x = 48
- x = 8
Q4
Angle2 is complementary with 142 and alternate interior with 2(x + 9)
- 142 + 2(x + 9) = 180
- 142 + 2x + 18 = 180
- 2x + 160 = 180
- 2x = 20
- x = 10
