9514 1404 393
Answer:
x = 19
A = 30°
B = C = 75°
Step-by-step explanation:
In an isosceles triangle, the angles opposite the congruent sides have the same measures.
A = B
3x +18 = 7x -58
76 = 4x . . . . . . . . add 58-4x
19 = x . . . . . . . . . divide by 4
Then the equal angles measure ...
A = B = 3(19) +18 = 75
C = 2(19) -8 = 30
Angles A, B, C measure 75°, 75°, 30°, respectively.
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<em>Alternate solution</em>
The sum of angles in a triangle is 180°, so you could write ...
(3x +18) +(7x -58) +(2x -8) = 180
12x = 228 . . . . . add 48
x = 19 . . . . . divide by 12
Answer:
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Answer: A) 4
Step-by-step explanation:
Hi, to answer this, first, we have to calculate the volume of each can:
Volume of a cylinder: π x radius^2 x height
Since:
Diameter: 2 radius
2 = 2r
2/2 =r
r=1
Back with the volume formula:
V = 3.14 ( 1)² 4 =12.54 cubic inches
Now, we have to divide the total volume of soda by the volume of each can:
50.24/12.54= 4 soda cans
Feel free to ask for more if needed or if you did not understand something.
Answer:
There is a 61.36% probability that a randomly selected day in November will be foggy if it is cloudy.
Step-by-step explanation:
We have these following probabilities:
An 88% probability that the day is cloudy.
An 54% probability that the day is both foggy and cloudy.
What is the probability that a randomly selected day in November will be foggy if it is cloudy?
This is the percentage of days that are cloudy and foggy divided by those that are cloudy. So:

There is a 61.36% probability that a randomly selected day in November will be foggy if it is cloudy.
Since we have two points (2,54) and (4,54), we can assume a linear function and solve for the slope and intercept. So if V=kt+b where t is time passed and v is velocity of the car, we can plug in and solve for k and t, that would give t as a function of v, and you can graph it