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
Answer:
12 and 24
Step-by-step explanation:
2 numbers, x in this case, with one being twice the other, one of them will be 2x, equals 36. Your equation would look like this: 2x+x=36. Simplify it to get 3x=36, divide the 3 and you get 12. 12 will be your small number then multiply by 2 to get your large one, 24.
Answer:
K must be in range <u>$45000 ≤ k ≤ $53000 </u>to make this an effective screening device.
Step-by-step explanation:
In order for the screening device to be effective, the range of k must be such that, it is more than the pay of a worker without diploma. The extra amount must at least be equal to the cost of diploma
So the value of k must be in range from (35000 + 10000) to (35000 + 18000)
Hence,
<u>$45000 ≤ k ≤ $53000</u>
Answer:
1
Step-by-step explanation:
Answer:
x = 4
Explanation:
Given the expression;
Add 4 to both sides
Square both sides
Hence the value of x is 4