Answer:
Step-by-step explanation:
Given are the vertices of a quadrilateral.
WE have to find the name of the quadrilateral
WE have slope of AC = (5-1)/(7-3) = 1
and slope of BD = (2-5)/(7-4) = -1
Since m1m2 =-1 we get
the diagonals cut at right angles
This property is special property for square, rhombus and kite only.
Let us check if diagonals bisect each other
Mid point of AC =
Mid point of BD =
Since diagonals do not bisect this is neither rhombus nor square.
Only possibility is kite
The linear inequality that is represented by the graph is; y ≤ One-halfx + 2
<h3>How to Interpret Inequality Graphs?</h3>
The general form of equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Now, from the inequality graph attached, we can see that we can calculate the slope from;
m = (y2 - y1)/(x2 - x1)
m = (3 - 2)/(2 - 0)
m = 1/2
We can also see that the y-intercept which is the point where the line crosses the y-axis is; y = 2.
The line is a solid line and not dotted and the shaded part is beneath the line and as such;
The inequality is; y ≤ One-halfx + 2
Read more about Inequality Graphs at; brainly.com/question/11234618
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Answer:
It is an open circuit, yes
Step-by-step explanation:
Answer:
130.6 apporexiatly
Step-by-step explanation:
t years, s simple interest, r rate.
.
s(r/100+1)^t
.
x(1.07)^3 = 160
.
x = 130.6
Answer:
a). 106
b). See Explanation
Step-by-step explanation:
According to the Question,
Given, The human resource department at a certain company wants to conduct a survey regarding worker benefits. The department has an alphabetical list of all 4247 employees at the company and wants to conduct a systematic sample of size 40.
a). Thus, the Required Value of K is 4247/40 = 106.175 ≈ 106
b). The individuals who will be administered the survey. Randomly select a number from 1 to k. Suppose that we randomly select 19. Starting with the first individual selected, the individuals in the survey will be
- 19
- (19+106) = 125
- (125+106) = 231
- 337
- 443
- 549
- 655
- 761
- 867
- 973
- 1079
- 1185
- 1291
- 1397
- 1503
- 1609
- 1715
- 1821
- 1927
- 2033
- 2139
- 2245
- 2351
- 2457
- 2563
- 2669
- 2775
- 2881
- 2987
- 3093
- 3199
- 3305
- 3411
- 3517
- 3623
- 3729
- 3835
- 3941
- 4047
- 4153