The slope of AC is -0.4
Proof:
In triangles ABC and DBE,
∠DBE is common to both triangles.
AB = 2DB (D is the midpoint of the interval AB)
Also, BC = 2BE (E is the midpoint of the interval BC)
Thus triangles ABC and DBE are similar in the ratio 2:1
Since, they are similar, ∠BDE must equal ∠BAC (corresponding angles in similar triangles)
If ∠BDE = ∠BAC, DE must be parallel to AC (corresponding angles are equal along parallel lines)
Thus, the slope of AC = the slope of DE
Thus, the slope of AC is -0.4
15% and the corresponding 0.15 is by necessity unit-less; it's just a multiplier. If you run up a $1 bill and wish to tip 15%, multiply $1 by 0.15, obtaining $0.15.
Then the total due would be $1 plus $0.15, or $1.15.
Note that $0.15
-------- = 0.15 is unit-less
$1
The factors is just 1 and 23. The array should be 23 rows/columns of just 1 dot only. Here's an example:
Factors of 5: 1 and 5
Array: •••••
Answer:
42.1 cm
Step-by-step explanation:
θ = 265°
Radius (r) = 9.1 cm
Arc length of major arc GH = θ/360 × 2πr
Plug in the values into the equation
Length of arc GH = 265/360 × 2 × π × 9.1
= 42.0886149
= 42.1 cm (nearest tenth)
Answer:
8(3x-5)
8 is the GCF of 24 and 40 so you write 8 and in brackets you put your terms after you divide by 8 so you get 3x and -5 so it is written as 8(3x-5)
