a quadrilateral has exactly 3 congruent sides. Davis claims that the figure must be a rectangle. why is this claim incorrect?

Answers

Answer 1

Answer: If a shape has 3 congruent sides the shape is equilateral triangle. So Davis is incorrect because the quadilateral is not a rectangle but a triangle. Hope it helps!!

Answer 2

Answer: Once the 3 sides of the 4 sides are already equal.

Then it implies that the 4th side would have to be equal to each of the other 3 sides.

Then all 4 sides become equal. That means the quadrilateral is a square.

So Davis' claim of it being a rectangle is incorrect.

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What is the greatest common factor of 24 30 and 42

Answers

List the factors of 24,30, and 24. Factors of 24: 1,2,3,4,6,8,12,24. Factors of 30: 1,2,3,5,6,10,15,30. Factors of 42: 1,2,3,6,7,14,21,42. The highest number that all of these numbers is 6. Therefore, the greatest common factor of GCF of 24,30, and 42 is 6.

The answer is 6. Hoped I helped

Identify the vertex of y = -1 (x-4)^2 +9 and tell whether it’s a minimum or maximumplease and thanks!

Answers

Answer:

maximum at (4, 9)

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = - 1(x - 4)² + 9 is in this form

with vertex = (4, 9)

• If a > 1 then vertex is a minimum

• If a < 0 then vertex is a maximum

here a = - 1 , hence vertex (4, 9) is a maximum

You divide a number by 3 add 6 then subract 7 the result is 4

Answers

$(n)/(3)$ +6 - 7 = 4
Subtract 6 from each side of the equation

$(n)/(3)$ -7 = -2

Now add 7 to both sides of the equation.

$(n)/(3)$ = 5

Finally multiply by 3 on both sides to undo the division

n= 15

Check
15/3 + 6 -7 = 4
5 + 6 -7 = 4
11- 7 = 4
4 = 4

6. What steps would you take to solve the equation: 3x + 2 = 23 *7. What steps would you take to solve the equation: -2y - 7 = 3 *
8. True or false: in order to solve the following equation, you would first subtract by 4, then multiply by 5/1 *
4+1/5=-1