Since BD is the angle bisector of ∠ ABC,
∠ ABD = ∠ CBD --- (1)
Now, in triangles Δ ABD and Δ CBD,
BD = BD (common side)
∠ ABD = ∠ CBD from (1)
AB = BC (Given)
Hence, Δ ABD ≅ Δ CBD (SAS Rule).
Answer:
A
Step-by-step explanation:
∠4 and ∠8 are corresponding angles
corresponding angles are congruent ( equal to each other )
so if ∠4 = 100° then ∠8 also equals 100°
Answer:
Its 32
Step-by-step explanation:
Slope formula;
m = y2 - y1/ x2 - x1 (-2, -1), (3, 4)
m = 4 - (-1)/ 3 - (-2)
m = 5/5
m = 1
the slope is 1.
hope this helps, God bless!
Answer:
Step-by-step explanation:
The mean of the gas mileages is 317÷16=19.8125
317 is the sum total of all the figures and 16 is the number of figures in the distribution
Standard deviation is the square root of the variance and the variance is the mean of all squared deviations
The 16 squared deviations are
7.9102(×2) + 3.2852(×2) + 0.6602(×3) + 0.0352(×4) + 1.4102(×3) + 10.1602 + 17.5352 = 56.4382
56.4382÷16 = 3.5274
This is the Variance. The standard deviation is herefore √3.5274 =1.878 ~ 1.88 (to 2 decimal places)
(B) Chebyshev's inequality predicts that 75% of the selection will fall within 2 standard deviations of the mean
2×1.88=3.76
19.8125-3.76 = 16.05
19.8125+3.76= 23.57
The gas mileages are between 16.05 and 23.57
(C) the actual % of SUV models of the sample that fall in the above range is (15/16 × 100) = 93.75%
(D) the empirical rule gives the more accurate prediction
