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DochEvi [55]
3 years ago
9

Complete the two-column proof.

Mathematics
1 answer:
GuDViN [60]3 years ago
3 0

1.QUAD is an isosceles trapezoid 1. Given

2. QD = UA 2. Opposite legs of an isosceles trapezoid are equal

3. QU = QU 3. Reflexive

4. QA = UD 4. Diagonals of an isosceles trapezoid are equal.

5. ΔUAQ = ΔQDU 5. SSS

6. ∠UAQ = ∠QDU 6. CPCTE

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Which of the following is equivalent to 3x -2(x -1)>11-9x
BaLLatris [955]

Answer:

x > 9/10 is the answer to the equation.

Step-by-step explanation:

3x -2(x -1) > 11-9x

3x -2x +2 > 11-9x

x+2> 11-9x

x+9x > 11-2

10x > 9

x > 9/10

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3 years ago
Write the inequality for this graph.<br> Use x as your variable.<br> (Zoom in for better quality)
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x=7over4

Step-by-step explanation:

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What are the solutions to the following system of equations?<br><br> x − y = 6<br> y = x2 −6
anastassius [24]

The solutions to the given system of equations is (0, -6) and (1, -5)  

<h3>Simultaneous equations</h3>

From the question, we are to determine the solutions to the given system of equations

The equations are

x − y = 6 --------- (1)

y = x² −6 ---------- (2)

From equation (1)

x - y = 6

∴ x = 6 + y ------- (3)

Substitute into equation (2)

y = x² −6

y = (6+y)² −6

y = (6+y)(6+y) -6

y = 36 + 6y + 6y +y² -6

y = 36 + 12y + y² - 6

Simplifying

y² + 12y - y + 30 = 0

y² + 11y + 30 = 0

Solve quadratically

y² + 11y + 30 = 0

y² + 6y + 5y + 30 = 0

y(y +6) +5 (y +6) = 0

(y + 5)(y + 6) = 0

y + 5 = 0 OR y + 6 = 0

y = -5 OR y = -6

Substitute the values of y into equation (3)

x = 6 + y

When y = -5

x = 6 + (-5)

x = 6 -5

x = 1

When y = -6

x = 6 + (-6)

x = 6 -6

x = 0

∴ When x = 0, y = -6 and when x = 1, y = -5

Hence, the solutions to the given system of equations is (0, -6) and (1, -5)  

Learn more on Solving simultaneous equations here: brainly.com/question/16863577

#SPJ!

7 0
2 years ago
Bonnie had 5 cats that each weighed 6 2/5 pounds. How much do the cats weigh?
svetlana [45]
6 2/5 = 32/5 * 5 = 32 pounds
3 0
3 years ago
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Identify which of these quadrilateral's are parallelograms.
nlexa [21]

Answer:

B

E

F

Opposite Sides equal

Opposite sides parallel

Step-by-step explanation:

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