Answer:
y=5
x=20 degrees
K= 43 degrees
L=137 degrees
Step-by-step explanation:
aducent angles of parralologram add to 180 degrees
so (6x+17)+ (2x+3)=180
or 6x+17+2x+3=180
so 8x+20=180
and 8x=160
x=20 degrees
opposite sides of parralologram are equal so
6y-13= 32-3y
or 9y=45
and y=5
opposite angles are coonguent so
ang K= 2x+3
so K= 43 degrees
aducent angles of parralologram add to 180 degrees
so ang L+43=180
and L=137 degrees
<u>if you find my answer helpful please mark as brainliest </u>
Answer:
D
Step-by-step explanation:
Probability of falling NOT in the shaded region is "area of white region" <em>divided by</em> "area of whole rectangle (big one)".
<u>Area of whole rectangle:</u>
Area of rectangle = length * width = 10 * 5 = 50
<u>Area of White Region:</u>
First, area of shaded region = length * width = 4 * 2 = 8
Now,
Area of white region = area of whole rectangle - area of shaded rectangle
Area of white region = 50 - 8 = 42
Hence, probability is 
0.84 = 84%
Answer choice D is right.
Answer:
95% Confidence interval: (14.4537 ,15.1463)
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 15 feet
Sample mean, 
= 14.8 feet
Sample size, n = 16
Alpha, α = 0.05
Sample standard deviation, σ = 0.65 feet
Degree of freedom = n - 1 = 15
95% Confidence interval:
Putting the values, we get,
is the required confidence interval for the true mean length of rods.
To solve this problem we can make a proportion.
6 5
-- = ---
10 x
to solve this proportion we can cross multiply and divide.
5 times 10 is 50. divided by 6 is 8.3
it will take her 8.3 minutes to run 5 laps
Hello!
Since we are given that the speed of sound in the air travels about 343 meters per second, we can multiply 343 meters per second by 5, and then we convert the meters to kilometers.
343 · 5 = 1715 meters per 5 seconds.
1000 meters are equal to 1 kilometer. So, we can divide 1715 by 1000 to convert meters to kilometers.
1715 / 1000 = 1.715
Therefore, the speed of sound in air is about 1.715 kilometers per 5 seconds.
