Answer:
Pauline reflected the original figure over the x-axis:
The coordinates of point B will be (4,3)
Carl reflected the original figure over the y-axis:
The coordinate of points B will be (-4,-3)
Answer:
Step-by-step explanation:
Method 1: Taking the log of both sides...
So take the log of both sides...
5^(2x + 1) = 25
log 5^(2x + 1) = log 25 <-- use property: log (a^x) = x log a...
(2x + 1)log 5 = log 25 <-- distribute log 5 inside the brackets...
(2x)log 5 + log 5 = log 25 <-- subtract log 5 both sides of the equation...
(2x)log 5 + log 5 - log 5 = log 25 - log 5
(2x)log 5 = log (25/5) <-- use property: log a - log b = log (a/b)
(2x)log 5 = log 5 <-- divide both sides by log 5
(2x)log 5 / log 5 = log 5 / log 5 <--- this equals 1..
2x = 1
x=1/2
Method 2
5^(2x+1)=5^2
2x+1=2
2x=1
x=1/2
Answer: m∠7=130°
Step-by-step explanation:
If two parallel lines are cut by another line (transversal), each one will have four angles surrounding the intersection.
By definition, the adjacent angles of each parallel line, are supplementary, this means that they add up 180°.
Then, if m∠2=50°, then m∠3 is:
m∠3
°
By definition, the angles that are in the same relative position are know as corresponding angles and they are congruent.
Therefore:
m∠3=m∠7
m∠7=130°
Brenda has to take out the trash more than 4 times to have more than $50.
Step-by-step explanation:
Given,
Amount Brenda already have = $30
Amount she gets each time for throwing trash = $5
Amount she wants to have = More than $50
Let,
x be the number of times she throws trash.
Amount for throwing trash * Number of times trash thrown + Amount already have > Amount she wants to have

Dividing both sides by 5

Brenda has to take out the trash more than 4 times to have more than $50.
Keywords: variable, inequality
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