Answer: x + 2x + x-40 = 180
First angle= 55º
Second angle= 110º
Third angle= 15º
Step-by-step explanation: The sum of the angles of a triangle is 180º
Take the values given and use x as the unknown first angle. then create terms for the other two angles based on that:
The second angle of a triangle is double the first angle becomes 2x
The third angle is 40 less than the first angle becomes x-40
x + 2x + x-40 = 180 Solve by adding like terms . x + 2x + x = 4x
4x -40 = 180 Add 40 to both sides to "cancel" the -40 on the left
4x + 40 -40 = 180 + 40 becomes
4x = 220 Divide both sides by 4 to "cancel" the 4 on the left side
4x/4 = 220/4
x = 55 This is the first angle. Substitute 55 for the "x" in the original terms
2(55) = 110 The second angle
(55) -40 = 15 the third angle
Let’s say that the other one is described as X. So if one piece is twice as long as the other one, it’ll be 2x.
2x + X =111
3x = 111
3x divided by 3= 111 divided by 3
X= 37
So 2x = 2(37) = 74
X = 37
74
+ 37
————
111
Answer:
79.77%
Step-by-step explanation:
P(X≥120) = normalcdf(120,1e99,130,12) = 0.7976716754 ≈ 0.7977 = 79.77%
Therefore, about 79.77% of operations last at least 120 minutes
Answer:
Step-by-step explanation:
Multiply it by 0.75, or find 3/4 of that number. Whichever you prefer! The first one always works though the second one sometimes does but sometimes 3/4 of the number isn't that obvious.
Answer:
D.) 1 + 1 + 5/8 + 2/8
Step-by-step explanation:
1 5/8 + 1 1/4
*set aside ones for a sec*
1/4 x 2/2 = 2/8
5/8 + 2/8
*get the ones back in*
1 + 1 + 5/8 + 2/8