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Mathematics

1 answer:

Ganezh [65]3 years ago

6 0

Answer:

168 meters squared

Step-by-step explanation:

So we know that Jake walked from b to c and d meaning he didn't go from a to b, but we also know that scarlet walked a to b so to find the length we can subtract scarlet's walk by jake's walk or 38-31 which is 7.

So we know the length of one side is 7 so this means we have side a to b and c to d, but we still need to know b to c. So what we can do is get the length of a b c and d and isolate it so that we only have b to c. To do this we get the length of 7 and double it which is 14 and take it away from the 38m

38-14=24

so now we know that the side is 24 and we can solve for the area

24*7=168

so the answer is 168 meters squared

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KatRina [158]

Let's recall that in a parallelogram:

1. The opposite sides are paralell

In our exercise. sides CZ and KG are paralell. And so do sides KC and GZ.

2. Those opposite sides are equal in length.

3. The opposites angles are equal. In our exercise, angle C and G are equal and so do angles K and Z.

4. That also mean that the angles at the top of the figure are supplementary. It means they add up to 180 degrees. We have the same situation with the two angles at the bottom of the parallelogram.

In our case then:

$\angle\text{ C = }\angle\text{ G }\Rightarrow\text{ C = 50}\circ\text{ , G = 50}\circ$

Now, we can find the measure of angles K and Z, as follows:

$\angle C\text{ + }\angle Z\text{ = 180}\Rightarrow\text{ 50 + }\angle Z\text{ = 180 }\Rightarrow\text{ }\angle Z\text{ = 180 - 50}$ $\angle Z\text{ = 130}\circ\text{ }\Rightarrow\angle K\text{ = 130}\circ$

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vitfil [10]

Answer:

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