The Triangle Sum Theorem states that the sum of the angles of a triangle equal 180°.
Therefore,
45° + 62° + k = 180
107° + k = 180
k = 73°
The value of k is 73°
Answer:
arc DB length = 14π feet
Step-by-step explanation:
Assuming point A is the center of the circle, arc DC has measure 180°. Arc DB has measure 40° less, so is 140°. Since you want this in terms of π, we need to convert the degree measure to radians. We do that by multiplying by (π/180) radians per degree:
arc DB = 140° = 140°(π/180°) radians
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Now that we know the arc measure in radians, we can find the length of the arc. It is given by the formula ...
s = rθ
where r represents the radius and θ is the measure of the arc in radians.
The arc length is ...
s = (18 ft)(7π/9) = 14π ft
Arc DB has a length of 14π feet.
Answer: B and C
Step-by-step explanation: For A, vertical angles can be complimentary or supplementary. For D, vertical angles can sometimes be acute but not always.
The heights of the students in a class are (in inches) 60, 72, 56, 57, 74, 61, 64, 63, 66, 56, 72, 72, 71, 74, 61
Alexandra [31]
Answer:
There is a 11% chance that someone 5 foot 6 inches would get chosen.
Step-by-step explanation:
5*12=60
60+6=66
there are 19 numbers
66/19=.105263
you would then round up the tenths place due to the value of the thousandths place being above 5.
Answer:
-3
Step-by-step explanation:
First you subtract the first equation from the second one and you get:
3x + 3y = 3
x + y = 1
y = 1 - x
Then you use it on the first equation
888x + 889 (1 - x) = 890
888x + 889 - 889x = 890
-x = 1
x = -1
y = 1 - x
y = 1 - (-1) = 2
Now that you have those two numbers, we have to subtract the value of x from y:
x - y
-1 - 2 = -3
Hope this helps bro
