Answer:
m<ABC = 45
m<DBC = 34°
Step-by-step explanation:
Given:
m<ABD = 79°
m<ABC = (8x - 3)°
m<DBC = (5x + 4)°
Step 1: Generate an equation to find the value of x
m<ABC + m<DBC = m<ABD (angle addition postulate)
(8x - 3) + (5x + 4) = 79
Solve for x
8x - 3 + 5x + 4 = 79
13x + 1 = 79
Subtract 1 from both sides
13x + 1 - 1 = 79 - 1
13x = 78
Divide both sides by 13
x = 6
Step 2: find m<ABC and m<DBC by plugging the value of x into the expression of each angle
m<ABC = (8x - 3)°
m<ABC = 8(6) - 3 = 48 - 3 = 45°
m<DBC = (5x + 4)°
m<DBC = 5(6) + 4 = 30 + 4 = 34°
Step-by-step explanation:
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Answer:
x2 + 10x +25 = (x+5)^2
Step-by-step explanation:
x^2 + 10x
To complete the square
Take the coefficient of x
10
Divide by 2
10/2 =5
Square it
5^2 =25
Add it
x2 + 10x +25
The coefficient of x divided by 2 is the factor we add to x inside the square
(x+5)^2
An event that is made up of two or more outcomes is called a compound event.
Hope this helps!
Answer:
m<-2
Step-by-step explanation:
-4m-3.65>4.35
-4m>4.35+3.65
-4m>8
4m<-8 (the greater than or less than sign flips when you multiply or divide by the - sign)
m<-2 (divide both sides by 4)
Given:
Base pay = $100 per day
Commission = 1% of the dollar amount of all sales that she makes
To find:
The equation representing Harper's total pay on a day.
Solution:
Let P be the Harper's total pay on a day if she sells x dollars worth of computers.
Commission on x dollars sales = 1% of x = 0.01x
Total pay = Base pay + Commission
Therefore, the required equation is .
