The figure below shows a quadrilateral ABCD. Sides AB and DC are congruent and parallel:

(image)

Which statement best describes a flaw in the student's proof?

Angle DBC and angle BDA form a pair of vertical angles, not a pair of alternate interior angles, which are congruent.

Triangles ABD and CDB are congruent by the SAS postulate instead of the SSS postulate.

Triangles ABD and BCD are congruent by the AAS postulate instead of the SSS postulate.

Angle DBC and angle BDA form a pair of corresponding angles, not a pair of alternate interior angles, which are congruent.

Answer:

Step-by-step explanation:

To solve this system of equations, let's first find the value y. We can replace the x in the second equation with 11 + y, since we are told in the first equation that x is equal to 11 + y. So, let's replace x:

2(11 + y) + y = 19

22 + 2y + y = 19

22 + 3y = 19

3y = -3

y = -1

And look at that - we've found our y-value! Now, we can replace the y in the first equation with -1 to find the value of x.

x = 11 + (-1)

x = 10

So, the solution to this system of equations is (10, -1). Hopefully that's helpful!

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Explanation:

Refer to the remote interior angle theorem (some books call it the exterior angle theorem). That says we can add the two interior angles and the sum is the exterior angle that is not adjacent to either interior angle.

(interiorAngle1) + (interiorAngle2) = exterior angle

(5x) + (2x+6) = 8x-11

7x+6 = 8x-11

6+11 = 8x-7x

17 = x

x = 17

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Or the slightly longer method has you follow these steps:

y = missing interior angle in the upper right corner

The angle (8x-11) and angle y are supplementary

(8x-11) + (y) = 180

y = 180-(8x-11)

y = 180-8x+11

y = -8x+191

For any triangle, the three interior angles always add to 180

(angle1)+(angle2)+(angle3) = 180

(5x)+(2x+6)+(-8x+191) = 180

-x+197 = 180

-x = 180-197

-x = -17

x = 17

Answer: She would make $132 a day by cleaning tables for 12 hours and getting 11 per hour. She would have to get rid of 1 hour and 90 minutes of lifeguarding to get the same pay.

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

-3 + 5x = 42

add 3 to both sides

5x=45

divide both sides by 5

x=9

Answer:

x=9

Step-by-step explanation:

Answer:

Answer:

time = 113.75 minutes

= 113.75 min

= 01:53:45

= 1 hours, 53 minutes, 45 seconds

Step-by-step explanation:

Answer:

unbiased nonrandom

Step-by-step explanation:

By picking only people from 1st period they are not random.

They haven't said anything that would make these people biased.

Answer:

unbiased nonrandom

Step-by-step explanation:

move it 0.25 units right

Step-by-step explanation:

10 %, 7/10 and 0.2 are the three numbers that add up to 1

0.1 + 0.7 + 0.2 = 1

Answer:

1/4 = 0.25

0.5

10% = 0.1

7/10 = 0.7

15% = 0.15

0.2

10% + 7/10 +0.2 = 1

Answer:

(A,1) (A,2) (A,3) (A,4) (B,1) (B,2) (B,3) (B,4)

Hope that helped?

Answer:

6x + 12 < 10

Step-by-step explanation:

The side 10 is greater than 6x+12

the answer to your question is C. 6^4

Answer:C? sorry if im wrong

Step-by-step explanation:

Answer: what’s the full question??

For triangle MNO, the statements that are true are m ∠ MNP < m ∠ ONP and MP< OP.

We are given a triangle MNO.

We are also given that:

m ∠ MNP = 38°

m ∠ ONP = 39°

This clearly means that:

m ∠ MNP < m ∠ ONP

Also, since m ∠ MNP < m ∠ ONP , the sides opposite to the angles will also follow the same relationship.

Side opposite to ∠ MNP is MP

and side opposite to ∠ ONP is OP

so, the relation will become:

MP < OP

Therefore, we get that, for triangle MNO, the statements that are true are m ∠ MNP < m ∠ ONP and MP< OP.

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The statements m MNP m ONP and MP < OP are true for triangle MNO.

A triangle MNO is presented to us.

Additionally, we learn that

m ∠ MNP = 38°

m ∠ ONP = 39°

This demonstrates that:

m, MNP, m, and ONP

The sides that are opposite to the angles will also adhere to the same relationship because m MNP m ONP.

MP is the side that faces MNP.

and OP is the side opposite to ONP.

hence, the relationship will be:

MP < OP

As a result, we understand that for triangle MNO, the assertions m MNP m ONP and MP OP are true.

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Answer:

V=113.04mL

Step-by-step explanation:

The question is asking us to find the volume of a cylinder in mL. For this, we can use the equation V=[tex]\pi r^{2} h[/tex].

We know the diameter, 4cm, and the height, 9cm.

In order to solve, we must first find the radius.

r=1/2d

r=1/2(4)

r=2cm

We can now plug this into our equation.

V=[tex]\pi r^{2} h[/tex]

V=[tex]\pi (2)^{2} (9)[/tex]

V=[tex](3.14)(2)^{2} (9)[/tex]

V=113.04mL

[tex]3 \times \frac{1}{2} \\ \\ = \frac{5}{2} [/tex]

Answer:

B. 2

Step-by-step explanation:

1.87

11 x 17  / 100  = 1.87

Answer:

A. 2(x+y+1). lmk if you need any more awnsers

Answer:

1/4 n - 3.

Hope this helps, sorry if it doesn't.

Answer:

D

Step-by-step explanation:

As you can see in the pic, range is the y-coordinate. C is not the answer bcs the range of C is {0,1,2,4}

Answer:

  y = x³ +2x² -x -2

Step-by-step explanation:

A polynomial with root q has a factor (x -q). The factored form of the polynomial is ...

  y = (x -1)(x +1)(x +2)

  y = (x² -1)(x +2) . . . . . . partial simplification

  y = x³ +2x² -x -2

Answer:

22 x ² − x y + 9 x

Step-by-step explanation:

The simplification is 24[tex]x^{2}[/tex] - x y + 9x and option E is correct

what is simplification?

Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler (usually shorter).

simplify,

[tex]3x^{2}[/tex] + 7xy + 9x + (-8xy) + [tex]21x^{2}[/tex]

3[tex]x^{2}[/tex] + 21[tex]x^{2}[/tex] + 7xy - 8xy + 9x

24[tex]x^{2}[/tex] - 1xy + 9x

hence, the simplification is 24[tex]x^{2}[/tex] - x y + 9x and option E is correct

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Answer: I think it's 6

Step-by-step explanation:

Answer:

Hannah

Step-by-step explanation:

Anna: Page 29 + number of pages read t days into the month

number of pages read t days in the month = 9 t times = 9 * t

Anna: 29 + 9t

Hannah: 7 + 11t using the same logic

14 days in: t = 14

Anna: 29 + 9*14 = 155

Hannah: 7 + 11 * 14 = 161

Hannah is further along

The equations for Anna's progress A = 29 + 9t and Hannah's progress H = 7 + 11t show that after 14 days, Hannah is farther along in the book with page 161 compared to Anna's page 155.

The equation we would write for each situation in terms of t are explained below:

For Anna:

A = 29 + 9t

For Hannah:

H = 7 + 11t

After 14 days:

For Anna: A = 29 + 9 * 14 = 29 + 126 = 155

For Hannah: H = 7 + 11 * 14 = 7 + 154 = 161

After 14 days, Hannah is farther along in the book as she is on page 161 while Anna is on page 155.

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Answer:

The answer is 4.5 cups I hope this helps :D

Answer:

12

Step-by-step explanation:

( 13-3-2) +4

= 8 +4

=12

Answer: 50

Step-by-step explanation: add DBC and ABD to get 50 ABC is 50

Answer:

86

Step-by-step explanation:

43 x 2=86

Answer:

4%

Step-by-step explanation:

Given

Formula

Solving.

Change 0.04 to percent

Answer: