Carter paid $200 for the bike.
Step-by-step explanation:
Given,
Current value of bike = $90
This represent 45% of the original amount Carter paid for bike.
Let,
x represent the original amount of bike.
45% of x = 90

Dividing both sides by 0.45

Carter paid $200 for the bike.
Keywords: percentage, division
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Answer:

Step-by-step explanation:



x € R
Answer:
d = log 38/log31
d = 1.06
Step-by-step explanation:
31 ^ d = 38
Take log of both sides since the exponential equation have different base (always)
d log 31 = log 38
d = log 38 / log 31
d = 1.58 / 1.491
d = 1.06.
We can actually check to see if this is correct.
Substituting d = 1.06
31^ 1.06 = 38.092
(You see, that's approximately correct)
Keep learning, maths is fun!
Answer:
50 deg
Step-by-step explanation:
The circles are congruent, so all radii of both circles are congruent.
The given central angles are congruent, so the triangles are congruent by SAS.
Since each triangle has 2 congruent sides (the radii), opposite angles are congruent.
m<DFE = m<J = 80 deg
m<H = m<G = x
m<H + m<G + m<J = 180
x + x + 80 = 180
2x + 80 = 180
2x = 100
x = 50
m<H = 50
C^2=a^2+b^2
6^2=5^2+b^2
36=25+b^2
b^2=36-25
b^2=11
b= √11
b=3.3166
If you need to round it to the tenth place,
b~3.3
to hundreds place,
b~3.32
Good luck