Answer:

Step-by-step explanation:
If two lines are perpendicular, they create 4 90° angles. Meaning, in this case, that m<DBC = 90 and m<DBA = 90.
We're given that m<DBE = 2x - 1 and that m<CBE = 5x - 42.
The sum of angles DBE and CBE = m<DBC = 90°
We can add the two angles and set it equal to 90 to find x

Answer:
128°
Step-by-step explanation:
x + 154° + 78° = 360° {being complete turn}
x + 232° = 360°
x = 360° - 232°
x = 128°
Money Birute deposited in a savings account = $500
Rate of simple interest per annum = 1.3%
▪︎We need to find the interest she will earn in 4 years.
We know that :

In this case :
Principal = $500
Rate = 1.3%
Time = 4 years
Which means :
The simple interest she will earn in 4 years :



Thus, the simple interest she will earn in 4 years = $26
Amount = Principal + Interest
Amount she will gain after 4 years :


Thus, the amount she will gain after 4 years = $526
Amount change in her account = 526 - 500 = 26
We know that :

Which means :
Percentage of change in her savings account :




<h2>○=> Therefore :</h2>
▪︎Simple interest after 4 years = $26
▪︎Money she will earn after 4 years = $526
▪︎Percentage of change in her savings account = 5.2%
Answer:
9
Step-by-step explanation: