In the diagram below B is the midpoint of AC if AB equals 2X and BC equals X squared -24 find the value of X and the length of AC

The statement that best describes a flaw in the students' proof is;

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

From the given image, we can see that;

AB ≅ DC

Let us analyze each given option;

A) ∠DBC and ∠BDA are in the same triangle ΔBDC. Now, they can't be a pair of vertical angles because vertical angles are a pair of opposite angles formed when two lines intersect but this is not the case here.

They are also not alternate interior angles because alternate angles are formed when a transverse line intersects two coplanar lines and again that is not the case here.

B) In ΔABD and ΔBDC, we see that;

AB = DC. Also, by theorem of alternate interior angles, we can tell that;

∠ABD = ∠BDC

Similarly, ∠BDA = ∠DBC from alternate interior angles.

Thus, there is one corresponding side and two non-included angles which means the triangles are congruent by AAS Congruency postulate.

C) As seen in B above, this statement is correct because the triangles are congruent by AAS postulate.

D) Corresponding angles lie on the same side of the transversal.  In this case, ∠BDA and ∠DBC lie on opposite sides and are even congruent by alternate interior angles.

Read more about congruency at; https://brainly.com/question/7727792

Answer:

The answer is 9 uniforms.

Step-by-step explanation:

You can set up the equation like this

Total Cost = Total Cost of Equipment + Total Cost of Uniforms

So the equation would be:

692 = 422 + 30 * (# of Uniforms)

So minus both sides by 422 and you get

692-422 = 30 * (# of Uniforms)

270 = 30 * (# of Uniforms)

Then divide both sides by 30 and you get

9 = # of Uniforms

So therefore, the answer is 9 Uniforms

Answer:

B: f(x) = –7x2 – x + 2

Step-by-step explanation:

The biggest exponent in a quadratic function is a 2.

A. Is NOT the answer because it has an exponent of 3 (that's a cubic not a quadratic)

C. Is NOT the answer because it is linear, if you graph it, it's a line. The highest exponent is 1.

D. Is NOT the answer, because even though it shows a power of 2, the coefficient (the number next to it) is a zero, so that term would fall out of the equation and it would be linear like C.

So B: f(x) = –7x2 – x + 2 is your answer. Its highest exponent is two and if you graph it, it would make a parabola.

Answer:

3

Step-by-step explanation:

5 is a term 6b is a term 3d is a term

Answer:

Blank 1) 1 pound of raisins

Blank 2) 2.25 pounds of raisins

Blank 3) 1.2 pounds of almonds

Blank4) 1.4 pounds of almonds

Answer:

7.) y=10x

8.) $140 in 14 months, $60 in 6 months

9.) He will have saved $100 in 10 months and $175 in 17.5 months

10.) The rate of change is 10

11.) Knowing the rate of change helps you in answering this problem because it tells you how much money he saves per month.

12.)

0- $0

1- $10

2-$20

3-$30

4-$40

Step-by-step explanation:

7.) The standard form of a linear equation is y=mx+b

The starting balance is 0 so there is no point to adding b. M is the amount of money he deposits each month so that is 10. You plug in the values and you get y=10x (+0)

8.) y=10(14)

$140

y=10(6)

$60

9.) 100=10x

100/10= 10

10 months

175=10x

175/10=17.5

17.5 months

10.) The rate in change is m so 10.

Hope I explained this in simple enough terms. Have a good day!

[tex]\begin{gathered}15 = 4x + 3 \\ = > 4x = 15 - 3 \\ = > 4x = 12 \\ = > x = 3\end{gathered}

15=4x+3

=>4x=15−3

=>4x=12

=>x=3[/tex]

Answers:

3, 15

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

[tex]\huge\boxed{\sf y = 100.4}[/tex]

Step-by-step explanation:

Given equation is:

53 = y - 47.4

Add 47.4 to both sides

53 + 47.4 = y

100.4 = y

OR

y = 100.4

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Hello there!

[tex]\sf \longmapsto53=y - 47.4[/tex]

This is a equation. We need to find the value of variable y.

[tex]\sf \longmapsto53=y- 47.4[/tex]

To Solve further,we need to overturn the equation.

That is :-

[tex]\sf \longmapsto \: y - 47.4 = 53[/tex]

Then, Add +47.4 to two sides:-

[tex]\sf \longmapsto \: y - 47.4 + 47.4 = 53 + 47.4[/tex]

On Simplification:-

Note that (-) and (+) equals to (-). So it would be 47.4 - 47.4 . Which results to 0.

[tex]\sf \longmapsto \: y - 0 = 100.4[/tex]

[tex]\sf \longmapsto \: y = 100.4( Ans.)[/tex]

Answer as a mixed fraction:-

[tex]\sf \longmapsto 100\dfrac{2}{5}[/tex]

Answer as a fraction:-

[tex]\sf\longmapsto 502/5[/tex]

______________________________________

Henceforth, the value of y is :-

[tex]\bf \: y = 100.4[/tex]

Or as a mixed fraction:-

[tex]\bf y = 100\dfrac{2}{5}[/tex]

Or as a fraction:-

[tex]\bf y = 502/5[/tex]

________________________________

I hope this helps!

Please let me know if you have any questions.

Step-by-step explanation:

Use the slope formula

Taking two points on the line:

(0,3) and (-5,0)

3-0/0+5

You will get: 3/5 as your slope

The y-intercept is (0,3)

Therefore:

y = 3/5x + 3

Answer:

394 km

Step-by-step explanation:

197 is 197/60 times as much as 60

so the distance is also that much more: 120 km * 197/60 = 394

The bar graph represents the value of Profit (X) for the different probabilities of stocks x and y.

It can be drawn as follows.

Let x and y denote the two stocks .

The probability of success of x is p=50%= 50/100=1/2 = 0.5

The probability of failure of x is q= 50%= 50/100= 1/2= 0.5

Similarly

The probability of success of y is p=50%= 50/100=1/2 = 0.5

The probability of failure of y is q= 50%= 50/100= 1/2= 0.5

Then their joint distribution can be calculated from the following table.

        x              0.5               0.5               h(y)

y

0.5                  0.25            0.25              0.5

0.5                  0.25             0.25             0.5

g(x)                 0.5                 0.5               1.0

It is evident from the data that x and y have the same probability at each point  when both x and y are at

But the random variable X will have different values for

For the bar graph click

https://brainly.com/question/25196929

https://brainly.com/question/25718527

The bar graph will appear as follows.

Answer:

Step-by-step explanation:

[tex] {n}^{3} + 512 \\ = {(n)}^{3} + {(8)}^{3} \\ by \: using \: {a}^{3} + {b}^{3} = (a + b)( {a}^{2} - ab + {b}^{2}) we \: \: \: get \\ = (n + 8)( {(n)}^{2} - n \times 8 + {(8)}^{2} ) \\ = (n + 8)( {n}^{2} - 8n + 64)[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

3\5

Step-by-step explanation:

Answer:

A quadratic equation is second degree equation with the standard form ax^2+bx+c=0 as the highest power is 2.

__________________.

Answer:

r≈14cm

h Height

21

cm

A Surface area

3080

cm²

Using the formula

A=2πrh+2πr2

Solving forr

r=1

2h2+2A

π﹣h

2=1

2·212+2·3080

π﹣21

2≈14.00402cm

Answer:

10x+5

Step-by-step explanation:

You add or subtract 5x by -25x by 30x to get 10x. However, then you add 6-5+4 which is 5.

Answer:

5[tex]x^{4}[/tex] (x - 3)(x - 2)

Step-by-step explanation:

5[tex]x^{6}[/tex] - 25[tex]x^{5}[/tex] + 30[tex]x^{4}[/tex] ← factor out 5[tex]x^{4}[/tex] from each term

= 5[tex]x^{4}[/tex] (x² - 5x + 6) ← factor the quadratic

Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (- 5)

The factors are - 3 and - 2 , then

x² - 5x + 6 = (x - 3)(x - 2)

Then

5[tex]x^{6}[/tex] - 25[tex]x^{5}[/tex] + 30[tex]x^{4}[/tex] = 5[tex]x^{4}[/tex] (x - 3)(x - 2) ← in factored form

Answer:your mom

Step-by-step explanation:

srry had to do it

Answer:

t+c ≤ 55

Step-by-step explanation:

t+c is the total pieces of furniture and it must be at most (less than or equal to) 55 so t+c ≤ 55 is the equality that represents the possible values.

Answer: The answer is 3x^2 - 7x + 7 = 0.

Answer:

336

Step-by-step explanation:

We know that a cube has 6 faces which means we can use this equation:

56 x 6 = 336

336 square inches is the answer.

Perimeter=56in

So area of one side=

Cube has 6sides

So total protection:-

Answer:

YES

Step-by-step explanation:

Answer:

How to solve your problem-  

9 + 3 2 = − 1 2

Step-by-step explanation:

− 9 +  3  2  =  − 1 2

9+3p2=-12

3 2  − 9 =  − 1 2

Answer:

499

Ste-by-step explanation

80 percent of the original price is left.

If you divide by 4 you get 99.8 which is 20% of the original price. Then if you multiply 99.8 by 5 you will get 100% of the original price which is 499

You can also do 399.2 * 1.25 = 499

Therefore, 8 is the answer.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

Step-by-step explanation:

(

4

x

​

)<(

15

5(5x−2)−3(7x−3)

​

)

(

4

x

​

)<(

15

25x−10−21x+9

​

)

(

4

x

​

)<(

15

4x−1

​

)

15x<16x−4

4<x

∴x∈(4,∞)