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Ganezh [65]
3 years ago
13

Work must be shown for this problem! The figure shown below is a rectangle. Make sure to solve for x and BD. Give both answers b

elow.

Mathematics
2 answers:
GREYUIT [131]3 years ago
8 0

Answer:

x=10 and BD=74

Step-by-step explanation:

In a rectangle, the two parts of the diagonals are always equal to each other. This means that AE=CE=BE=ED.

So, if AE is 3x+7, this means DE and BE are also 3x+7, so BD is twice that, or 2(3x+7) which when you multiply it is 6x+14.

Oh, also, since it says CE=37, this means that 3x+7=37

3x+7=37

    -7   -7

3x=30

x=10

Now that you know that BD is 6x+14, and x is 10, simply multiply it.

6(10)+14=BD

60+14=BD

74=BD

Mila [183]3 years ago
7 0

Answer:

x = 10

BD = 74

Step-by-step explanation:

Find x by setting 3x+7 equal to 37. Solve for x by subtracting 7 on both sides then divide by 3 to get x=10.

Since 37 is half of AC, multiply that by 2 to find AC or BD, which are the exact same length of 74.

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Given:quadrillateral ABCD inscribed in a circle
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Step-by-step explanation:

Given: quadrilateral ABCD inscribed in a circle

To Prove:

1. ∠A and ∠C are supplementary.

2. ∠B and ∠D are supplementary.

Construction : Join AC and BD.

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→→→2∠1+2∠4+2∠6+2∠8=360°

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→→→∠B + ∠D=180°as, ∠1 +∠6=∠B , ∠4+∠8=∠B------(A)

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∠A+∠C+180°=360°

∠A+∠C=360°-180°------Using A

∠A+∠C=180°

Hence proved.

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