Congruent means they have the exact same dimensions in both length and angles. If you flip the first shape clockwise by 90 degrees, you will notice that both shapes look identical. From this we can gather that:
BC = PS
AB = SR
AD = RQ
CD = PQ
likewise with the angles:
B = S
C = P
A = R
D = Q
hope this helps! xx
Answer:
Step-by-step explanation:
The way you want to do this is to make all the numbers into a fraction. You do that by multiplying the whole number by the denominator, or the bottom of the fraction, then adding that to the numerator, or the top of the fraction.
So, 
becomes 
, and 
becomes 
.
Then, you find the least common denominator. The least common denominator (LCD) is the smallest number that can be a common denominator for a set of fractions. In our case, that would be 4, since 2 can multiply into 4.
So, is multiplied by 2, and becomes 
. stays the same.
And finally, you subtract. When subtracting or adding fractions, you leave the denominator alone, and only work with the top number.
So, 
, which equals 
.
Now, you could technically stop there. However, most teachers ask that you put it back into whole number form. To do that, divide the numerator by the denominator, and whatever remains goes back into the fraction.
So, 
That's your answer! Hope this helps.
There are two eights per quarter, and four quarters per whole, so there would be 14 eights in one and three quarters
Answer:
12
Step-by-step explanation:
Convert 75% into a fraction:
.75
Then multiply .75 by 16.
<em>Hence, </em><em>the answer is 12.</em>
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Hope this helped! (Please mark this as the Brainliest!)
Answer:
2.5%
Step-by-step explanation:
The percentage of people taking the test who are above 698 is ___%
Empirical rule formula states:
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ
From the question, we have:
Mean of 514 and a Standard deviation of 92
Hence:
μ ± xσ
514 ± 92x = 698
514 + 92x = 698
92x = 698 - 514
92x = 184
x = 184/92
x = 2
Hence, the data is correct and it is 2 standard deviation from the mean. Therefore, 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
The question is asking us to find the percentage of people taking the test who are above 698 is calculated as:
100 - 95% /2
= 5/2
= 2.5%
The percentage of people taking the test who are above 698 is 2.5%
