Answer:
The answer to your question is:
x = 18
m∠ABD = 36°
m∠DBC = 54°
Step-by-step explanation:
m∠ABD + m∠DBC = 90°
2x + 3x = 90°
5x = 90°
x = 90/5
x = 18
m∠ABD = 2(18)
= 36°
m∠DBC = 3(18)
= 54°
Answer:
$85
Step-by-step explanation:
100%-20%=80% and 80% = 0.8
So,
0.8x=68
x=85
Answer:
The coordinates of the point that makes the division in the given ratio is (0,3)
Step-by-step explanation:
Here, we want to find the point on the line segment that divides the line segment in the ratio 1:2
We simply use the internal division formula
That would be;
(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
m = 1 and n = 2
(x1,y1) = (4,9)
(x2,y2) = (-8,-9)
Substituting these values into the formula, we have;
2(4) + 1(-8)/(1 + 2) , 2(9) + 1(-9)/(2 + 1)
= (8-8)/3 , (18-9)/3
= (0,3)
I don't know what the "act it out" strategy is but I will try to help based on my knowledge.
Try this: Write down the numbers 1-4. Then make number combinations with 3 of those 4 numbers. See how many you can make with out repeating a combination. Even it is in a different order. How ever many combinations you can mane is your answer.
This is how I would do it.
Let me know if this helps or not.
Good Luck
Answer: Smoothing constant
Step-by-step explanation: