Answer:
m∠ABD = 20°
Step-by-step explanation:
The bisector makes angles ABD and BDC congruent, so ...
7x -1 = 4x +8
3x = 9 . . . . . . add 1-4x to both sides
x = 3
m∠ABD = (7x-1)° = (7·3 -1)°
m∠ABD = 20°
When finding the percent difference between two numbers, there are two ways you can do this.
1. The first way is how to calculate the percentage INCREASE of two numbers:
-The formula is Increase / Original Number × 100 = % increase
Step 1: Find out the difference between the two numbers you're comparing. New number - Original number = Increase.
Step 2: Divide the increase by the original number and then multiply your answer by 100. (If your answer is a negative number, then it is a percent decrease, not a percent increase.)
2. The second way is how to calculate the percentage DECREASE of two numbers:
Step 1: Find out the difference between the two numbers you're comparing. Original number - New number = Decrease.
Step 2: Divide the decrease by the original number and then multiply your answer by 100. Decrease ÷ Original Number × 100
= % Decrease. (If your answer is a negative number, then is is a percent increase, not a percent decrease.)
Answer:
A.
Step-by-step explanation:
5>4
6>2
5 is greater than 4, 6 is greater than 2
20x - 15 - 3x - 1 = 15x + 27 + 2x
17x - 16 = 17x + 27
17x - 17x = 27 + 16
0 = 43
Since zero is not equal to 43, this equation has no solution.
9x=5x+ (9=x)
(combine like terms)
9x=6x+9
(get the x value alone on one side of the equation, in this case by subtracting 6x from both sides)
3x=9
(divide by 3 on both sides to get x alone)
x=3