X=35 and y= 130.
similar triangles have at least 2 congruent angles.
ABC = 130, 35 and 15
DEF = 130, 35 and 15
so B) the triangles are similar because y=130 and there are 3 pairs of congruent angles.
Answer:
Option A: Because this is a rectangle, I would show that each vertex is made up with lines that have opposite reciprocal slopes.
Step-by-step explanation:
A rectangle is a quadrilateral with four right angles.
Each right angle is made up of two perpendicular lines forming a vertex
And then proving this that all perpendicular lines have negative reciprocal slope.
It isn't always necessary to employ the idea of using a parallelogram first although it might be useful.
Answer:
Option B is correct.
If we assume that 57% of Americans says that GM foods are generally unsafe to eat, then there is an 8.8% chance that random sample results will show 60% or more who says that GM foods are generally unsafe to eat.
Step-by-step explanation:
In Hypothesis testing, p-value helps to show the significance of one's results.
For hypothesis testing, the first thing to define is the null and alternative hypothesis.
The null hypothesis plays the devil's advocate and is always about the absence of significant difference between two variables being compared.
While, the alternative hypothesis takes the other side of the hypothesis; that there is indeed a significant difference between two proportions being compared.
For this question, the null hypothesis is that 57% of Americans say that GM foods are generally unsafe to eat.
H₀: p = 0.57
And the alternative hypothesis would be that more than 57% of Americans say that GM foods are generally unsafe to eat.
Hₐ: p > 0.57
The p-value is actually defined as the probability of obtaining results as extreme as the observed results in the statistical analysis provided that the null hypothesis is true.
For this question , it is evident that the p-value (0.088) is expressing the probability of getting results as extreme as 60% or more Americans saying that GM foods are unsafe to eat provided that the null hypothesis (57% of Americans say that GM foods are generally unsafe to eat) is true.
Hope this Helps!!!
You should have a calculator on your phone or pc.
2098800
Answer: Both families were travelling at the same speed/rate of 1mile/0.65mins or 1mile/0.01hr.
Step-by-step explanation: Speed of Houck family's train = 552m/6hrs
speed of Robert family's train = 744m/8hrs.
Therefore considering Houck speed,
552miles = 6hours
1mile = (6 x 60)/552
= 360/552
= 0.65minutes. Average speed = 1mile/0.65mins. Or 1mile/0.01hr
For Robert
744miles = 8hours
1mile = ( 8 x 60 )/744
= (480/744)minutes
= 0.645
= 0.65minutes. Average speed = 1mile/0.65mins. Or 1mile/0.01hr
Conclusion: Both families were travelling at the same speed/rate.
To get that minutes in hour, just divide by 60 to get concert to hours.
