Katie sorted these shapes write a sorting rule to tell how katie sorted
2 answers:
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Answer:
AB parallel to CD because both lines have a slope of
of 4/3
Step-by-step explanation:
The question is not complete, there is no graph.
A graph for the question is attached below.
From the image attached below, line 1 passes through points A = (-3, -3) and point B = (0, 1) while line 2 passes through point C = (0, -5) and point D = (3, -1).
Two parallel are said to be parallel if the have the same slope. The slope of a line passing through points:
Line 1 passes through points A = (-3, -3) and point B = (0, 1), the slope of line 1 is:
Line 2 passes through point C = (0, -5) and point D = (3, -1). the slope of line 2 is:
Therefore AB parallel to CD because both lines have a slope of
of 4/3
Answer:
Volume of prism = 3,240 cm³
Step-by-step explanation:
GIven.
Hexagonal prism.
Side of base(b) = 12cm
Height of prism = 9cm
Height of base (h)= 10cm
Find:
The volume of the prism.
Computation:
Area of base of hexagonal prism = n/2[bh]
Area of base of hexagonal prism = 6/2[(12)(10)]
Area of base of hexagonal prism = 360 cm²
The volume of prism = Area of base of hexagonal prism × Height of prism
The volume of prism = 360 × 9
Volume of prism = 3,240 cm³
Answer:
There is no sufficient evidence to support the claim that wedding cost is less than $30000.
Step-by-step explanation:
Values (x) ∑(Xi-X)^2
----------------------------------
29.1 0.1702
28.5 1.0252
28.8 0.5077
29.4 0.0127
29.8 0.0827
29.8 0.0827
30.1 0.3452
30.6 1.1827
----------------------------------------
236.1 3.4088
Mean = 236.1 / 8 = 29.51
Statement of the null hypothesis:
H0: u ≥ 30 the mean wedding cost is not less than $30,000
H1: u < 30 the mean wedding cost is less than $30,000
Test Statistic:
Test criteria:
SIgnificance level = 0.05
Degrees of freedom = df = n - 1 = 8 - 1 = 7
Reject null hypothesis (H0) if
Finding in the t distribution table α=0.05 with df=7, we have
= -1.9861 > -2.365
Result: Fail to reject null hypothesis
Conclusion: Do no reject the null hypothesis
u ≥ 30 the mean wedding cost is not less than $30,000
There is no sufficient evidence to support the claim that wedding cost is less than $30000.
Hope this helps!
Answer:
a=7
Step-by-step explanation:
The image is rendered and attached below.
Triangle WXY is an Isosceles right triangle, since WX=XY.
First, we determine the length of WY using Pythagoras Theorem.
Since triangle WXY is Isosceles,
Therefore:
Triangle WYZ is a right triangle with WZ as the hypothenuse.
Applying Pythagoras Theorem
