Answer:
20% Increase
Step-by-step explanation:
Percentages can be put vice versa. So 20% Of 50 = 50% Of 20 Which Equals 10.
Mark me as brainliest please
Answer:
b i think
Step-by-step explanation:
![4^{x} = 64](https://tex.z-dn.net/?f=%204%5E%7Bx%7D%20%3D%2064)
By taking <span>logarithmic of base 10
∴ </span><span>
![log 4^{x} = log 64](https://tex.z-dn.net/?f=%20log%204%5E%7Bx%7D%20%3D%20log%2064)
∴ x log 4 = log 64
∴
![x = \frac{log \ 64}{log \ 4}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7Blog%20%5C%2064%7D%7Blog%20%5C%204%7D%20)
note: we don't need to write the base in case of the base =10
∴ The correct choice is
</span><span>x = log base 10 of 64, all over log base 10 of 4</span>
Answer:
Please check the explanation.
Step-by-step explanation:
Part a)
Given that the two parallel lines are crossed by a transversal line.
Given that
m∠2 = 2x + 54 and m∠6 = 6x - 11
Angle ∠2 and ∠6 are corresponding angles.
Corresponding angles are congruent.
Thus,
m∠2 = m∠6
2x + 54 = 6x - 11
flipe the equation
6x - 11 = 2x + 54
subtract 2x from both sides
6x - 2x - 11 = 2x - 2x + 54
4x - 11 = 54
adding 11 to both sides
4x - 11 + 11 = 54 + 11
4x = 65
dvide both sides by 4
4x/4 = 65/4
x = 16.2500 (round to 4 decimal places)
Part b)
We have already determined
x = 16.2500
Given
m∠2 = 2x + 54
substitute x = 16.2500 in the euation
= 2(16.2500) + 54
= 86.5°
As angle ∠2 and angle ∠1 lie on a straight line. Hence, the sum of their angles must be 180°.
i.e.
m∠1 + m∠2 = 180°
substituting m∠2 = 86.5° in the equation
m∠1 + 86.5° = 180°
subtracting 86.5° from both sides
m∠1 + 86.5° - 86.5° = 180° - 86.5°
m∠1 = 93.5°
Therefore, the measure of angle m∠1 is:
Answer:
102 an hour
Step-by-step explanation:
all you do is add all of them together