If a carpenter cut the top section of a window frame with a 40º angle on each end. The side pieces each have a 50º angle cut at their top ends, as shown. <u>Yes </u>the side pieces of the frame will be parallel. How i know is that both side are equal or parallel.
<h3>Parallel</h3>
The interior angles are the same or equal in measure. On the other hand the sum of the interior angles have to be 180°.
The two side pieces on the right hand and left hand side are equal in measure. The sides can be parallel only if the sum of both side angles is equal to 180°
Let calculate the one side of the interior angle and both side of the interior angle
One side of the interior angle=40º+50º
One side of the interior angle=90°
Both side of the interior angle=90°+90°
Both side of the interior angle=180°
Hence,
The side are parallel because: 180°=180°
Therefore Yes the side pieces of the frame will be parallel. How i know is that both side are equal or parallel.
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Answer:
Probability = 0.35
Step-by-step explanation:
Given :-
- Probability (Highway A Icy) = 0.1
- Probability (Highway B Icy) = 0.15
- Probability (Highway C icy) = 0.15
So :-
- Probability (Highway A not icy) = 1 - 0.1 = 0.9
- Probability (Highway B not icy) = 1 - 0.15 = 0.85
- Probability (Highway C not icy) = 1 - 0.15 = 0.85
Probability of person not getting to work timely
= Probability [Even one of the highway A, B or C is icy]
= 1 - Probability [None of Highway A, B, C is icy]
Since these are independent events, So :-
= Prob. [Highway A not icy & Highway B not icy & Highway C not icy]
= 1 - ( 0.9 x 0.85 x 0.85)
= 1 - 0.65
= 0.35
Step-by-step explanation + Answer:
x = 1st job
y = 2nd job
x + y = 22......x = 22 - y
7x + 8.25y = 171.50
7(22 - y ) + 8.25y = 171.50
154 - 7y + 8.25y = 171.50
-7y + 8.25y = 171.50 - 154
1.25y = 17.50
y = 17.50 / 1.25
y = 14 <== 14 hrs at the 8.25 per hr job
x + y = 22
x + 14 = 22
x = 22 - 14
x = 8 <=== 8 hrs at the 7 per hr job
Answer:
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Step-by-step explanation:
Hope that helps!
Answer:
3^3
Step-by-step explanation:
Exponents
9^3 can be rewritten as
3^2 ^3
Using exponent rules a^b^c = a^ (b*c)
3^2^3 = 3^6
3^6 / 3^3
We know that a^b / a^c = a^(b-c)
3^6 / 3^3 = 3^(6-3) = 3^3
