AD || BC and BD is the transversal,
Therefore, angle DBC = angle ADB = 42° [alternate angles]
AD || BC and BD is the transversal,
angle BAD + angle ABD + angle DBC = 180° [co-interior angles]
or, 106°+ angle ABD + 42° = 180°
or, 148° + angle ABD = 180°
or, angle ABD = 180°-148° = 32°
Therefore, angle ABC = (32+42)° = 74°
AB||CD and BC is the transversal,
angle ABC + angle BCD = 180° [co-interior angles]
or, 72+2x+12 = 180
or, 84+2x = 180
or, 2x=180-84 = 96
or, x = 48
Answers: a)48°
b)42°
c)72°
This is a combination problem. The approach to this is by using the nCr method, where n is the number of total objects and r is the number of success. For example, if you want to get 3 red out of the total 4, then that would be 4C3. That means,
4C3 = 4!/3!(4 - 3)! = 4 ways
If you want to get 2 green out of the total 6, then that would be 6C2. That means,
6C2 = 6!/2!(6-2)! = 15 ways
Therefore, there are a total of 4+15 = <em>19 ways</em>.
Answer:
the quantities do NOT vary directly
Step-by-step explanation:
A graph showing a proportional relationship is a straight line through the origin. This graph goes through (0, 100), so does NOT show a proportional relationship. y does NOT vary directly with x.
Answer:
Correct answer: Hmax = 22.11 m
Step-by-step explanation:
The subject of this problem is a vertical shot upwards, to which the following formula applies:
V₀² - V² = 2 · g · H where is:
V₀ - initial velocity
V - final velocity
g = 10 m/s²
H - final height
Given:
V₀ = 69 ft/s = 21.03 m/s
V = 0 m/s
Hmax = ?
V₀² = 2 · g · Hmax ⇒ Hmax = V₀² / 2 · g
Hmax = 21.03² / 2 · 10 = 442.26 / 20 = 22.11 m
Hmax = 22.11 m
God is with you!!!
