Answer:
x=38
Step-by-step explanation:
the angles are vertical angles so they are equal to each other so we setup the equation 2x+5=3x-33 and solve
step 1 subtract 2x from each side
5=x-33
step 2 add 33 to each side
x=38
Step-by-step explanation:
its 60
Answer:
3 for 5.19
Step-by-step explanation:
No Sari is incorrect because 120.78/9.9 is 12.2 and 12 is not greater than 12.2
Answer:
C. 2.0 < t < 2.5
Step-by-step explanation:
time = distance / speed
The circumference of the lake is given by ...
C = πd = 2π miles ≈ 6.28 miles
Then Johanna's time is ...
(6.28 mi)/(3 mi/h) ≈ 2.09 h
This time is in the interval (2, 2.5), so matches choice C.
___
<em>Alternate solution</em>
If we take pi to be 3, then this boils down to ...
2×3/3 = 2 . . . hours
Pi is on the order of 5% more than 3, so her time will be on the order of 5% more than 2 hours, or just above 2, but not as great as 2.5 hours. This sort of estimating can get you to the correct answer without a calculator.
