Answer:
The answer is 40 degrees.
Step-by-step explanation:
Since the two triangles are congruent, which means they are the same shape and size, they share the same angle measures. Since angle B is the same as angle F, it equals 40 degrees.
I hope this helped! :-)
Answer:
The probability is 1/41664.
To calculate the probability, write a fraction. The numerator is the number of ways the outcome can occur. The denominator is the number of different outcomes.
Thus, 1 is the number of outcomes we want. 41664 is the total number of different combinations possible.
9514 1404 393
Answer:
x = -9 (as you know)
Step-by-step explanation:
![\log_6\dfrac{1}{6}=\dfrac{x}{9}\\\\\log_6{(6^{-1})}=\dfrac{x}{9}\\\\-1=\dfrac{x}{9}\\\\x=(-1)(9)=\boxed{-9}](https://tex.z-dn.net/?f=%5Clog_6%5Cdfrac%7B1%7D%7B6%7D%3D%5Cdfrac%7Bx%7D%7B9%7D%5C%5C%5C%5C%5Clog_6%7B%286%5E%7B-1%7D%29%7D%3D%5Cdfrac%7Bx%7D%7B9%7D%5C%5C%5C%5C-1%3D%5Cdfrac%7Bx%7D%7B9%7D%5C%5C%5C%5Cx%3D%28-1%29%289%29%3D%5Cboxed%7B-9%7D)
_____
I find it helpful to remember that a logarithm is an exponent.
![\log_a(a^b)=b](https://tex.z-dn.net/?f=%5Clog_a%28a%5Eb%29%3Db)
Answer:
15 years
Step-by-step explanation:
Let e represent Edith's age. Then e also represents her brother's age.
Then:
e = 5e - 60.
Consolidating the e terms, we get 60 = 4e. Thus, e = 15.
Edith is 15 years old. So is her brother.
The question tells us that Mallory's 2 years old than three times her brother Jake's age, but let's just start by saying she's 2 years older than <em>some age. </em>What would that look like? Well, we'd be taking some number and adding two to it, so something like this:
Mallory's age = (some age) + 2
What is that age though? The problem tells us it's three times Jake's age, j. We can write that as 3 × j, or 3j, to save space. Filling in our blank, we can write the expression for Mallory's age as 3j + 2