Answer:
1 = 130° , 2 =50° , 3 = 85°, 4=45°
Step-by-step explanation:
1 =45 + 85 = 130 { sum of opposite interior angle equals exterior angle}
2 = 180 - 1 { angles on a straight line equals 180}
= 180 -130 = 50°
4 = 180 - 135 = 45° { angles on a straight line equals 180}
3 = 135 -2 { sum of opposite interior angles equals exterior angle; 3 + 2 = 135}
3 = 135-50 = 85°
Note : sum of opposite interior angles equals external exterior angle, let's prove it:
If we look at the triangle at the bottom left, we have :
85, 45 and r { let's denote r as the missing angle}
So 85 + 45 + r = 180° { sum of angles of a triangle}
By simple arithmetic
r = 180 - ( 85+45) = 180 - 130 = 50°
but r + 4 = 180° { sum of angles in a straight line equals 180°}
4 = 180 - 50 = 130°
So you see 4 is the exterior angle of the triangle opposite to 85° and 45° interior angles}
Answer:
(22.74 ; 27.26)
Step-by-step explanation:
The confidence interval relation is stated as :
Mean ± Zcritical * σ/sqrt(n)
Mean = 25
σ = 6
The Zcritical at 95% = 1.96
Hence,
25 ± 1.96 * (6/sqrt(27))
25 ± 1.96 * 1.1547005
Lower boundary :
25 - (1.96 * 1.1547005) = 22.73678702
Upper boundary :
25 + (1.96 * 1.1547005) = 27.26321298
(22.74 ; 27.26)
A polynomial function with all even exponents is so-called even function.
Even functions are symmetric across the y-axis.
Answer: Only one that is symmetric across the x-axis is the function C ).
Answer:
I believe the there are 9.
Step-by-step explanation: Here is how I thought about it: you have an x sandwich, y sandwich, and z sandwich; x drink, y drink, and z drink, and a dessert. The possible combos would be xxa, xya, xza, yxa, yya, yza, zxa, zya, zza. Hope this helps!
