Answer:
d = 64, e = 64, g = 55, f = 55
Step-by-step explanation:
Answer:
Step-by-step explanation:
2log(x-3)=log25
log(x-3)²=log25 cancel out log on both sides
(x-3)²=25
x²-6x+9=25
x²-6x+9-25=0
x²-6x-16=0 factorize
x²+2x-8x-16=0
x(x+2)-8(x+2)
(x-8)(x+2)=0
x-8=0 or x+2=0
x=8 or x=-2
x=-2 cannot be considered because of the -ve sign.
x=8.
check
2log(x-3)
2log(8-3)
2log5
log5²=25
therefore LHS=RHS
Answer:
120th caller
Step-by-step explanation:
According to the problem, calculation of the given data are as follows,
$100 bill = 30th caller
Movie tickets = 40th caller
So, to find out first to win both prizes, we will use LCM method,
LCM of 30 and 40 = 10 | 30 , 40
| 3 , 4
LCM of 30 and 40 = 10 × 3 × 4 = 120
Hence, 120th caller will be the first to win both prizes.
Answer:
B. 
Step-by-step explanation:
We have been given a protractor and we are asked to find the measure of angle D.
We can see from our given protractor that the measure of angle D is 90 degrees as the ray OD crosses our protractor at 90 degrees.
Therefore, the measure of angle D is 90 degrees and option B is the correct choice.