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const2013 [10]
2 years ago
11

In this problem, we're going to explain why any trapezoid that can be inscribed in a circle must be an isosceles trapezoid. In t

his figure, let's assume without loss of generality that segments AB and DC are parallel. By the end of this problem, we want to show that ∠D ≅ ∠C.
1. Explain why ∠A must be supplementary to ∠D.

Mathematics
2 answers:
Softa [21]2 years ago
8 0

Step-by-step explanation:

"Explain why ∠A must be supplementary to ∠D"

The single reason for <A and <D being supplementary is the fact that the segment AB is parallel to the segment CD in any trapezoid, so line AD is a transversal with corresponding angles <D and 180-<A congruent which implies <D and <A are supplementary, which answers the question.

Triss [41]2 years ago
4 0

Since the trapezoid can be inscribed in a circle, that means angle B + angle D = 180 degree. Since AB is parallel to CD, then angle B + angle C = 180 degree. Therefore, angle D = angle C.

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What is an advanced math equation? Don't tell me the answer!
Leviafan [203]

Answer:

If 3x−y=12, what is the value of 8^x/2^y ?

Step-by-step explanation:

this is an SAT question

3 0
3 years ago
Given that these simultaneous equations
Tatiana [17]

The value of k is(3\sqrt{ 10})/2

<h3>How to solve the simultaneous equation?</h3>

Given:

x-y=k.............(eq i)

2x²+y²-15..............(eq ii)

We would make y the subject formula in eq ii

2x²+y²-15= 0

2x² + y²= 15

y²= 15-2x²

y= \sqrt{15-2x^2}...........(eq iii)

Substitute the value of y into eq i

x-(\sqrt{15-2x^2}= k

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k= (3\sqrt{ 10})/2

Read more about simultaneous equations here:

brainly.com/question/16863577

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3 0
1 year ago
(Giving brainliest! Pls have at least one sentence to explain why you chose the answer :) )
Kryger [21]

Answer:

A

Step-by-step explanation:

Hope it helps

4 0
2 years ago
Read 2 more answers
Demarco paid $3.19 per gallon both times that he stopped for gas on a weekend trip. He bought 12.53 gallons of gas the first tim
maks197457 [2]
He paid 3.19 per gallon both times......first time he bought 12.53 gallons....next time he bought 11.86 gallons

so ur expression is : 3.19(12.53 + 11.86)
5 0
3 years ago
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scZoUnD [109]
The answer would be C. We know that d is equal to the initial depth of a lake. The two given initial depths are 58 feet and 53 feet, so we know that one of the equations must be either d=58 or d=53. Because there only C has either one of those, d=58, we know that it must be the answer.

To find the other equation, it is just a linear function for the other lake. The y-intercept, or initial value, is 53, so in the equation y=mx+b, it is the b value. The slope, or m value, is 3 feet, so you have y=d=3x+53.


4 0
3 years ago
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