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Marina86 [1]
2 years ago
5

Trapezoid A B C D is shown. Sides A B and D C are parallel. Sides A D and B C are congruent. Angle B is (3 x) degrees and angle

D is (9 x) degrees. What is the value of x in trapezoid ABCD? x=15 x=20 x=45 x=60
Mathematics
2 answers:
photoshop1234 [79]2 years ago
4 0

Answer: The value of x in trapezoid ABCD is 15

Step-by-step explanation: The trapezoid as described in the question has two bases which are AB and DC and these are parallel. Also it has sides AD and BC described as congruent (that is, equal in length or measurement). These descriptions makes trapezoid ABCD an isosceles trapezoid.

One of the properties of an isosceles trapezoid is that the angles on either side of the two bases are equal. Since line AD is equal to line BC, then angle D is equal to angle C. It also implies that angle A is equal to angle B.

With that bit of information we can conclude that the angles in the trapezoid are identified as 3x, 3x, 9x and 9x.

Also the sum of angles in a quadrilateral equals 360. We can now express this as follows;

3x + 3x + 9x + 9x = 360

24x = 360

Divide both sides of the equation by 24

x = 15

Therefore, in trapezoid ABCD

x = 15  

STatiana [176]2 years ago
4 0

Answer:

x=15

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Given

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Required

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Ming's error is from here

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<em>Hence, (a) is correct</em>

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2 years ago
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Alice should pick the enlarged-photo with dimensions of 8-inch by 10-inch.

Step-by-step explanation:

Step 1:

In order for a part of the photo to not be cut off, the enlarged photo's dimensions should be of a constant ratio with the original photo's dimensions.

We divide the dimensions of the enlarged-photo with the dimensions of the original photo to check which has a constant ratio.

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Option 1 is 7-inch by 9-inch, so the ratios are

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To find the number of tickets sold, the total revenue needs to be divided by the revenue per ticket:

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8 0
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