Answer:
w = 42
Step-by-step explanation:
A linear pair is a pair of adjacent angles which add up to 180 degrees(supplimentary).
Given m<1 = w + 5, m<2 = 3w + 7, and the fact that m<1, and m<2 form a linear pair. This relationship can be given by:
m<1 + m<2 = 180.
To solve just substitute the expressions given by the angles, and solve.
m<1 + m<2 = 180
| |
v v
(w+5)+(3w+7) = 180 →
4w + 12 = 180
-12 -12
___________
4w = 168
÷4 ÷4
_______
w = 42
Answer:
Probability that X <32 degrees
Convert this into percent by multiplying by 100
95.22% of days in February has minimum temperatures below freezing (32 degrees Upper F )
Step-by-step explanation:
Given that a city's mean minimum daily temperature in February is 22 degrees Upper F, with std deviation 6 degrees.
Let X be the minimum temperature in February
Then X is N(22,6)
To calculate percentage of days in February has minimum temperatures below freezing (32 degrees Upper F )
Probability that X <32 degrees
Convert this into percent by multiplying by 100
95.22% of days in February has minimum temperatures below freezing (32 degrees Upper F )
Answer:
Angle 1= 55 degrees
Angle 2=60 degrees
Angle 3=65 degrees
Step-by-step explanation:
angles in triangle add to 180 degrees
Based on the given parameters of a = 1.7 cubic feet and concrete for first 4 steps as 17 cubic feet, the concrete is required for the first 12 steps is 132.6 cubic feet
<h3>Arithmetic progression</h3>
- First term, a = 1.7 cubic feet
- Sum of first four terms = 17 cubic feet
Sn = n/2 {2a + (n - 1) d}
17 = 4/2{2×1.7 + (4 - 1)d}
17 = 2{3.4 + (3)d}
17 = 2(3.4 + 3d)
17 = 6.8 + 6d
17 - 6.8 = 6d
10.2 = 6d
d = 10.2/6
- Common difference, d = 1.7
Concrete required for first 12 steps;
Sn = n/2 {2a + (n - 1) d}
= 12/2{2×1.7 + (12-1)1.7}
= 6{3.4 + (11) 1.7}
= 6(3.4 + 18.7)
= 6(22.1)
= 132.6
Concrete required for first 12 steps = 132.6 cubic feet
Learn more about sum of arithmetic progression:
brainly.com/question/24205483
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Answer:
A^2 + B^2 = C^2
Step-by-step explanation:
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