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vagabundo [1.1K]
2 years ago
9

There are several characteristics of a parallelogram that can prove a quadrilateral is a parallelogram. Which characteristic wou

ld prove a quadrilateral is a parallelogram?
1.Opposite angles are supplementary
2.Adjacent angles are complementary
3.Adjacent angles are supplementary
4.Opposite angles are equal
Mathematics
2 answers:
NeX [460]2 years ago
7 0

Answer: its 4

Step-by-step explanation:

kirill [66]2 years ago
4 0
The answer would be b
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Answer:

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See the diagram attached below.

Let the chords be AB and AC with common point A.

AD is the diameter. Join B with D and C with D to form two triangles.

We need to prove that AB=AC.

\begin{gathered}In\ \triangle ABD\ and \triangle ACD;\\Given\ that\ \angle BAD=\angle CAD----(condition\ 1)\\since\ AD\ is\ diameter, \angle ABD=\angle ACD = 90^0\\So\ \angle ADB=\angle ADC--------(condition\ 2)\\AD=AD\ (common\ side)-----(condition\ 3)\\ \\So\ the\ triangles\ are\ congruent\ by\ ASA\ rule.\\Hence\ AB=AC.\end{gathered}

In △ABD and△ACD;

Given that ∠BAD=∠CAD−−−−(condition 1)

since AD is diameter,∠ABD=∠ACD=90

0

So ∠ADB=∠ADC−−−−−−−−(condition 2)

AD=AD (common side)−−−−−(condition 3)

So the triangles are congruent by ASA rule.

Hence AB=AC.

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3 years ago
NO LINKS OR ANSWERING WHAT YOU DON'T KNOW. THIS NOT A TEST OR AN ASSESSMENT. PLEASE HELP ME WITH THESE MATH QUESTIONS FOR AN ASS
liberstina [14]

Answer:

1.

<u>An extraneous solution is a root of a transformed equation that is not a root of the original equation as it was excluded from the domain of the original equation.</u>

It emerges from the process of solving the problem as a equation.

2.I begin like:

The vertical asymptotes will occur at those values of x for which the denominator is equal to zero:

for example:

x² − 4=0

x²= 4

doing square root on both side

x = ±2

Thus, the graph will have vertical asymptotes at x = 2 and x = −2.

To find the horizontal asymptote, the degree of the numerator is one and the degree of the denominator is two.

8 0
3 years ago
S
zzz [600]

Answer:

x = 4

Step-by-step explanation:

A trapezium is a quadrilateral (has four sides and four angles) with one pair of parallel sides. A trapezium is said to be isosceles if the bases are parallel, the two other sides known as the legs are equal and diagonals of the trapezium are equal to each other.

In trapezoid ABCD, BC and AD are the diagonals.

Hence BC = AD (property of isosceles trapezoid)

9x + 1 = 12x - 11

Simplifying:

12x - 9x = 1 + 11

3x = 12

Dividing both sides by 2:

x = 4

8 0
2 years ago
at maximum speed , an airplane travels 1680 miles against the wind in 5 hours flying with the wind , the plane can travel the sa
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3 years ago
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Distance = Speed x time = 162 x 3 = 486 miles/hour



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3 years ago
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