Answer:
The 3rd option
Step-by-step explanation:
To prove that 2 triangles are similar, we need to prove that 2 pairs of their angle measurements are congruent.
This is because all triangles have 180 degrees, so if 2 pairs are congruent, the remaining angles will also be congruent
We know that m<D=m<E
We also know that m<DCA=m<ECB because they are vertical angles.
Vertical angles are always congruent.
Therefore, the triangles are similar.
The correct similarity statement would be 1, since <D corresponds with <E.
Now let's look at the 3rd Statement. To prove that two lines are similar, we would have to prove that their alternate interior angles are congruent.
A pair of alternate interior angles would be <D and B or or <E and <A
There is no way to prove this, since we do not know any of the angle or that measurements or if the triangles are isosceles triangles.
Hence, the correct choice would be 1 only.
Actually Welcome to the Concept of the areas.
Since we know that, radius = diameter /2
here, => d = 2r ,
hence we use the formula as,
A = πr^2 ,
here option d.) is correct.
3/4 = 0.75 or 75%. So you need to find 75% of 200... Simply multiply 0.75 or 3/4 by 200 and you will get your answer... (0.75)(200) = 150....
You could also realize with this problem that 3/4 of 200 is 150 because 50 goes into 200 4 times. 50 = 1/4, 100 = 2/4 = 1/2, 150 = 3/4 & 200 = 4/4 = 1.
Answer:
QRST becomes Q prime, R prime, S prime, T prime.
Step-by-step explanation:
Any figure that is rotated, translated or reflected on the corrdinate plane is considered a prime (as long as it is congruent (the same as, or equal to) with the original). The apostrophe stands for prime.
Ex. If you reflect triangle ABC across one of the axes, the original triangle will continue being ABC, while the reflection would be A' B' C' (or A prime, B prime, C prime). I hope this helps :)
Answer: See the diagram below
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Explanation:
She starts off finding the mean of the data. So she adds up the values to get 48+54+57+62+69 = 290, and then divides by 5 to get the mean of 290/5 = 58. That explains why there's a 58 in the first row of the second column.
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For the next step, she subtracts 58 from each data item. If the result is negative, then go with the positive version (ie apply the absolute value)
- |48-58| = 10
- |54-58| = 4
- |57-58| = 1
- |62-58| = 4
- |69-58| = 11
This leads to the list 10,4,1,4,11 which goes in the first slot labeled "drag and drop an item here". This is the list of distance values each item is from the mean.
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The last thing to do is find the mean of the set {10,4,1,4,11}
add: 10+4+1+4+11 = 30
divide by five: 30/5 = 6
The mean absolute deviation (MAD) is 6
This represents the average distance each data value is from the mean. The MAD tells us how spread out the data is. It's similar to the standard deviation.
