To prove a rhombus you need to show that the sides are congruent and the diagonals are perpendicular.
Sides:
≅ 
≅ 
≅ 
Diagonals:
Use the slope formula: 
= -1
= 1
Slopes are opposite reciprocals so they are perpendicular.
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All of the sides are congruent and the diagonals are perpendicular so RMBS is a rhombus.
Answer:
Step-by-step explanation:
The data for the test are the differences between the head circumferences of the older twin girls and that of their sisters
μd = mean head circumferences of the older twin girls minus the mean head circumferences of the sisters
For the null hypothesis
H0: μd ≥ 0
For the alternative hypothesis
H1: μd < 0
It is a left tailed test
The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 25 - 1 = 24
The formula for determining the test statistic is
t = (xd - μd)/(sd/√n)
Where
xd = difference in sample means
μd = difference in population means
sd = standard deviation of the difference
From the information given,
xd = 50.23 - 49.96 = 0.27
t = (0.27 - 0)/(1/√25)
t = 1.35
We would determine the probability value by using the t test calculator.
p = 0.095
Since alpha, 0.05 < than the p value, 0.095, then we would fail to reject the null hypothesis.
Therefore, at 5% significance level, the difference is not significant
2 and 9 are factors<span> of 18.</span>
<span>When we have two or more given numbers, we can find the largest factor that both numbers have in common. This is called the </span>GCF<span> or the </span>Greatest Common Factor.
There are several different methods that can be used to find the GCF. Let's take a look at some of the methods.
Method 1:<span> List out the factors.</span>
<span>Example: Find the GCF of 64 and 96. </span>
Step 1:<span> List the factors of each number. </span>
64: 1, 2, 4, 8, 16, 32, 64
96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Step 2:<span> Look for factors that both lists have in common.</span>
Step 3:<span> Pick out the largest factor that both lists have in common and call this the GCF.</span>
Therefore, the GCF of 64 and 96 is 32.
Method 2:<span> Upside Down Division</span>
Find the GCF of 280 and 144.
Step 1:<span> Place the numbers inside an upside down division bar.</span>
Step 2:Now, we need to divide both numbers by a common factor. Because both of the numbers are even, we could start with 2.The answer goes underneath the bar.
Step 3:<span> We will continue to divide until we have two numbers that are relatively prime. Remember that relatively prime means two numbers that do not have any common factors other than 1.</span>
<span>35 and 18 are relatively prime. </span>
Step 4:<span> Now we take all of the factors on the side and multiply them together.</span>
Answer:
the age of daughter is 28yrs
Answer:
17 is what percent of 60? = 28.33.
what percent of 238 is 48 = 20.17
what percent of 365 is 40 = 10.96
Step-by-step explanation:
