A = LW
A = 28 × 7.1
A = 198.8
The correct answer is A.
Answer:
153.158 ; 177.642
Step-by-step explanation:
Given the following:
Sample mean (m) = 165.40
Sample standard deviation (s) = 21.70
Sample size (n) = 17
α = 98%
Confidence interval = m ± z(SE)
z at 98% = 2.326
SE = s/√n
SE = 21.70/√17 = 5.2630230
Hence,
Confidence interval = 165.40 ± 2.326(5.2630230)
165.40 - 12.241791498 OR 165.40 + 12.241791498
153.158 ; 177.642
Answer:
see explanation
Step-by-step explanation:
Since KL = KM then the triangle is isosceles and the 2 base angles are congruent, that is
∠KLM = ∠KML, thus
y - 9 = x + 4 (add 9 from both sides )
y = x + 13 → (1)
The sum of the 3 angles in the triangle = 180°, thus
x + 4 + y - 9 + x + y + 3 = 180
2x + 2y - 2 = 180 ( add 2 to both sides )
2x + 2y = 182 → (2)
Substitute y = x + 13 into (2)
2x + 2(x + 13) = 182 ← distribute and simplify left side
2x + 2x + 26 = 182
4x + 26 = 182 ( subtract 26 from both sides )
4x = 156 ( divide both sides by 4 )
x = 39
Substitute x = 39 into (1)
y = 39 + 13 = 52
Hence
∠K = x + y + 3 = 39 + 52 + 3 = 94°
A. angel a is 50 bc since it is isosceles, the two ungiven angles equal the same (180-80=100, 100/2=50)
B. 180=28+28+b, 180=56+b, 124=b
Answer:
y=2
Step-by-step explanation:
y+7=9(y-1)
y+7=9y-9
y-9y=-9-7
-8y=-16
y=2
