Answer:
C
Step-by-step explanation:
the angle in a semicircle = 90° , that is the 3rd angle in the triangle.
the sum of the 3 angles in a triangle = 180° , then
p + 90° + 42° = 180°
p + 132° = 180° ( subtract 142° from both sides )
p = 48°
Answer:
81000 people went to Bonnaroo.
192000 people went to Lollapalooza.
Step-by-step explanation:
Given:
Total number of people attending festivals, 
Number of people attending Lollapalooza is 30,000 more than twice the people attending Bonnaroo.
Unknown:
Number of people attending Lollapalooza and Bonnaroo.
Let the number of people attending Bonnaroo be
.
Therefore, the number of people attending Lollapalooza is equal to 
Evaluate:
Sum of people attending Bonnaroo and Lollapalooza is equal to the total number of people attending the festivals. So,

Substitute and Solve:
Now, we have,
.
Substitute 81000 for
and solve for the number of people attending both the festivals. This gives,
Number of people attending Bonnaroo = 
Number of people attending Lollapalooza = 
Therefore, 81000 people went to Bonnaroo and 192000 people went to Lollapalooza.
Answer:
2
Step-by-step explanation:

we start simplifying by removing the parenthesis
Multiply the exponents inside the the parenthesis
3^4 * 2^4

Now we apply exponential property
a^m * a^n = a^ (m+n)
3^4 * 3^-3 = 3^ (4-3) = 3^1
3 or 3^1 are same

3^1 at the top and bottom so we cancel it out
\frac{2^4}{2^3}
we apply log property . a^m / a^n = a^m-n
Now subtract the exponents
2^(4-3) = 2^1 = 2
5/8=x/100
x=(5/8)(100)=500/8
x=62.5%