Answer:
D
Line segments are congruent due to the side-angle-side congruence postulate.
Step-by-step explanation:
DC is the perpendicular bisector of line AB, this mean that DC divides AB at 90 degrees into two equal parts at point E. Hence:
AE = BE
Also DE ≅ DE (reflexive property of congruence)
Also ∠AED = ∠BED = 90° (perpendicular bisector)
We can therefore say that triangle AED and triangle BED are congruent according to the side-angle-side congruence theorem. Therefore line AD = line BD
First, let's break down what the difference between a sample and population is. A sample is a small part or quantity intended to show what the whole is like. A population is all inhabitants of a town, country, or the world. Samples are only representative of the population if the data collected is being collected in a fair manner. In answer choices A - C, the researcher is collecting data in locations specific to what is being studied. The outcome is likely to be bias because of the method in which the data is being collected. It is for that reason that the correct answer is D. To learn how many students at her school spend more than $10 on books in a month, Mia speaks to every sixth student she meets in the school hallway.
Answer:
28.4
Step-by-step explanation:
Given that:
Mean, m = 31.3
Standard deviation, s = 2.8
Since, data is normally distributed :
P(x < 0.15) gives a Z value of - 1.036
Using the Zscore formula :
Z = (x - mean) / standard deviation
-1.036 = (x - 31.3) / 2.8
-1.036 * 2.8 = x - 31.3
-2.9008 = x - 31.3
-2.9008 + 31.3 = x
28.3992 = x
The temperature which correlates to the bottom 15% of the distribution is 28.4
Answer:
6 units
Step-by-step explanation:
count 6 units up
Answer:
Option (4)
Step-by-step explanation:
Area of a triangle = 
Where a and b are the sides of a triangle and θ is the angle between the sides a and b.
By this rule,
Area of ΔWZY = 
45 = 
9 = (YZ).Sin(115)°
YZ = 
YZ = 9.93
Perimeter of parallelogram WXYZ = WX + XY + YZ + WZ
= 9.93 + 10 + 9.93 + 10
= 39.86
≈ 40 units
Therefore, perimeter of the parallelogram is 40 units.
Option (4) is the answer.
