Answer:
Step-by-step explanation:
we know that
The <u><em>Trapezoid Mid-segment Theorem</em></u> states that: A line connecting the midpoints of the two legs of a trapezoid is parallel to the bases, and its length is equal to half the sum of lengths of the bases
so In this problem
![EF=\frac{1}{2}[AD+BC]](https://tex.z-dn.net/?f=EF%3D%5Cfrac%7B1%7D%7B2%7D%5BAD%2BBC%5D)
substitute the given values
![x=\frac{1}{2}[(x-6)+(2x-3)]](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D%5B%28x-6%29%2B%282x-3%29%5D)
![x=\frac{1}{2}[3x-9]](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D%5B3x-9%5D)
so
Answer:
14.35 grams
Step-by-step explanation:
Amount left, in grams = (970 grams)(1.000 - 0.277)^m, where m is the number of minutes. This is exponential decay.
Amout left = (970 grams)(0.723)^13 = (970 grams)(0.01475), or 14.35 grams
Answer: 5/7
Step-by-step explanation: 7/5 is 1.4, which doesn't make sense as an answer here because it's a number greater than one, while we're looking for a number that can be made into a simple fraction, decimal or percent. 5 x 7 = 35, which also doesn't make sense for the same reasons but also because the answer is a division problem and this is multiplication. 7/7 equals one, which doesn't make sense because Melissa hasn't finished 100% of her homework yet. Therefore, the answer is 5/7.
This seems to be a reflection over the 'y' axis. Notice that the 'x' coordinates of points U and V are x =2 in the original figure, and then, 'x' coordinates of U' and V' are x = -2
All 'y' coordinates for the transformated figure (S'T'U'V'W') are the same that the original figure (STUVW), but the 'x' coordinates are exactly the opposite
This transformation is :
Answer:
9 times.
Step-by-step explanation:
56 multiplied by 9 is 504, and if you add another 56, the number would be greater than 512, so the answer is 9 times.
