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Answer:
- Abel is 7 and Asare is 17 years old
Step-by-step explanation:
Let the age of Abel is x and age of Asare is y.
Three times the age of Abel is four more than the age of Asare:
And
In three years, the sum of their ages will be 30 years:
We got two equations.
Simplify and solve by substitution:
- 3x - 4 + x = 24 Substitute y
- 4x - 4 = 24
- 4x = 28
- x = 7
Find y:
Answer:
answer is 2
Step-by-step explanation:
The measure of angle 2 is 
Explanation:
Given that
and
are complementary angles.
Also, the measure of angle 1 is 
We need to determine the measure of 
Since, we know that the complementary angles add up to 90°, then the angles
and
add up to 90°.
Thus, we have,

Substituting the value of
in the above expression, we have,

Subtracting both sides by 76°, we get,

Simplifying, we have,

Thus, the measure of angle 2 is 
Answer: 1) Product property of logarithm,
2) Subtraction property of logarithm
3) Equality property of logarithm
Step-by-step explanation:
By the Product property of logarithm,
log a + log b = log(a.b)
And, By the Subtraction property of logarithm
log a - log b = log(a/b)
Also, by the equality property of logarithm,
log(a) = log(b) ⇒ a = b
Given expression,
(Product property of logarithm)
(Subtraction property of logarithm)
( Equality property of logarithm )
( Multiplicative property of equality )
( Distributive property of equality )
(subtraction property of equality )
(division property of equality )