Answer:
x = 4
which agrees with the third listed answer among the given options
Step-by-step explanation:
We can re-write the logarithmic equation using the properties of logarithms:

Therefore, the arguments of the log functions must also be equal (and we can solve for "x" by noticing that this expression is the perfect square of a binomial:

and for this equation to verify, x must be 4
Answer:
A
Step-by-step explanation:
Answer:
Their slopes and y-intercepts are the same
Step-by-step explanation:
For example:
y=3x+5
y=3x+5
3x+5=3x+5
3x=3x
x=x
Thus, there's infinitely many solutions
Answer:
See below.
Step-by-step explanation:
Recall that the biggest angle will always be opposite from the biggest side.
IT is opposite from Angle S, which we can figure out to be 180-108-25=47.
SI is opposite from Angle T, which is 41.
ST is opposite from Angle I (the whole thing). Just from looking at it, we know that it is the biggest angle. If we want to figure it out, Angle I is 180-41-72+25=92.
The smallest side is SI, then IT, then ST.
The correct order is: SI, IT, and ST.
Answer:
x = 6
NO = 26
Step-by-step explanation:
recall that for a rhombus all the sides are of equal length,
which means, PM = MN = MP = NO
we are given
MP = 5x-4 and MN = 6x-10
since MP = MN, thus
5x-4 = 6x-10 (add 4 to both sides)
5x = 6x - 10 + 4
5x = 6x - 6 (subtract 6x from both sides)
5x-6x = -6
-x = -6
x = 6 (answer)
NO = MP = 5x-4 = 5(6) - 4 = 30 - 4 = 26