Answer:
m < 1 = 18°
Step-by-step explanation:
If <ABD = 72°, and m < 2 is three times the measure of m < 1, then:
Let < ABC = m < 1 = x
< CBD = m < 2 = 3x
We can set up the following formula, since the sum of the measures of angles < 1 and < 2 is equal to <ABD (72°):
m < 1 + m < 2 = < ABD
x + 3x = 72°
Add like terms:
4x = 72°
Divide both sides by 4 to solve for x:
x = 18
Since x = 18, and m < 1 = x , then m < 1 = 18°.
And since m < 2 = 3x, then m < 2 = 3(18°) = 54°.
Let's check to see whether we derived the correct answers by plugging in the values of m < 1 and m < 2 into the established formula:
m < 1 + m < 2 = < ABD
18° + 54° = 72°
72° = 72° (True statement).
Please mark my answers as the Brainliest if my explanations were helpful :)
Answer:
The expression represents the amount of money in the bank account after the increase is: x=1.158n.
Step-by-step explanation:
With the information provided, you can say that the amount of money in the bank after the increase would be equal to multiplying the amount at the beginning of the year for the result of adding up 1 plus the percentage of the increase, which would be:
x=n*(1+0.158)
x=n*1.158
x=1.158n, where:
x is the amount of money in the bank account after the increase
n is the amount of money at the beginning of the year
Answer:
6.86
Step-by-step explanation:
ask if you dont understand
Answer:
A
Step-by-step explanation:
Divide both sides with -16. ALWAYS remember that if you divide any number with a negative number, this "< ≤ > ≥" symbols have to change to the opposite direction
