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JulsSmile [24]
3 years ago
12

The figure shows trapezoid ABCD on a coordinate plane.

Mathematics
1 answer:
docker41 [41]3 years ago
5 0

Answer:

121 unit^2.

Step-by-step explanation:

The area = height/2 * ( sum of the opposite parallel  lines)

= h/2(BC + AD

h = BF = 14 - 3 = 11 units.

BC   = 13 - 5 = 8 units.

AD = 16 - 2 = 14 units.

Area = (11/2)(8 + 14)

= 5.5 * 22

= 121 unit^2.

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Solve 6x+57=2x+315 . A. x=−911 B. x=911 C. x=119 D. x=−119
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Explanation:

Remember: we have to isolate the variable x, so that means we have to get x by itself.

Step 1:

Let’s look at our equation:

6x+57=2x+315

Let’s subtract 2x from both sides of the equation, since our goal is to isolate the variable. You could also subtract 6x from both sides, but you would end up with a negative number, and I find it easier to deal with positive numbers.

6x(-2x)+57=2x(-2x)+315\\4x+57=315

Step 2:

Now, let’s subtract 57 from both sides of our equation.

4x+57(-57)=315(-57)\\4x=258

Step 3:

Since we have to isolate x, let’s divide both sides of the equation by 4.

4x/4=x\\258/4=64.5

Our final answer: x = 64.5

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