I NEED HELP ON THIS!!!

Look at the triangle below.

Which equation is equivalent to the law of cosines?


A

a2=c2−2cx+h2


B

a2=c2−2cx+x2+h2


C

a2=c−x2+h2


D

a2=c2−x2+h2

Step-by-step explanation:

[tex]\overline{CA} + \overline{AT} = \overline{CT}[/tex]

Since A is the midpoint, then [tex]\overline{CA} = \overline{AT}.[/tex] Therefore, we can write

[tex]2x + 8 = 4x + 2 \Rightarrow x = 3[/tex]

Using this value for x, we can write

[tex]\overline{CT} = \overline{CA} + \overline{AT}[/tex]

[tex]\:\:\:\:\:\:\:\:= (2x + 8) + (4x + 2)[/tex]

[tex]\:\:\:\:\:\:\:\:= 2(3) + 8 + 4(3) + 2 = 28[/tex]

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Answer:

  B.  2 x (6 + 9) = (2 x 6) + (2 x 9)

Step-by-step explanation:

The distributive property says the product is the sum of the products of the outside factor with each of the terms inside parentheses. In generic form:

  a(b +c) = ab +ac

Here, we have a=2, b=6, c=9.

  2(6 +9) = 2(6) +2(9)

Answer:

Martha wrote 6 2,000-word essays.

Step-by-step explanation:

15,000 (words total) - 3,000 (3 1,000-word essays) = 12,000 (words left for the 2,000-word essays).

Since the rest of the essays were 2,000 words, we can divide 12,000 by 2,000 to get 6.

Answer:

Answer is 4 I think!!

Answer:

A) 18.3

Step-by-step explanation:

Since adding b and a gives 19.

c must be less than 19.

So, A) 18.3 is the correct answer

We know that the sum of measure of any two sides of a triangle is greater than the third Angle.

So, in this case,

Now, here only 19 is only greater than 18.3 from the options. Hence, 18.3 is the correct answer.

Answer:

Longer Leg = 5

Shorter Leg = 144

Hypotenuse = 169

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

This is a classic puzzle!  If you pick out three socks, and they have only 2 colors, you'll get at least one match because they can't be 3 different colors.

There are zero number of outliers in data set.

The [tex]1.5[/tex] IQR rule for outliers says that any data point below [tex]Q_{1} -1.5\ IQR[/tex] is a low outlier. or lower than this are a low outliers.

And,

[tex]IQR=Q_{3} -Q_{1}[/tex]

We have,

[tex]Q_{1}= 275[/tex]

[tex]Q_{3} = 933[/tex]

Minimum [tex]= 1[/tex]

Maximum [tex]= 2596[/tex]

Median [tex]= 533[/tex]

Now,

[tex]IQR=Q_{3} -Q_{1}[/tex]

IQR [tex]=933-275=658[/tex]

So,

[tex]Q_{1} -1.5\ IQR[/tex]

[tex]=275-1.5*658[/tex]

[tex]=-712[/tex]

So, any data point lower than this is the low outlier.

As we see the given histogram, there is no point below this outlier so, in the given histogram there is no low outlier.

Hence, we can say that here are zero number of outliers in data set.

To know more about IQR rule for outliers click here

https://brainly.com/question/18543697

#SPJ3

Answer:

The correct answer is 3.

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

3x°+2x°+30°=180°

5x= 180-30

5x=150

x=30°

hope it's helpful

THANK YOU

Answer:

The new image will be 3x bigger than the original image.

Answer:

3:1

Step-by-step explanation:

In this classroom, there are three times as many boys as girls. This means that for every 1 girl there are 3 boys. This can be represented in the ratio, 3:1. The 3 represents the number of boys and the 1 is the girl. This ratio can also be applied to real-life questions. For example, in a class of 20, there would be 15 boys and 5 girls, 15:5. In this case, there are 3 times more boys than girls, just like in the statement.

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Answer:

  3 feet

Step-by-step explanation:

The equation with all the parameters filled in is ...

  f(t) = -16t² +8t +2

The maximum height occurs at the vertex of the function, which can be written in vertex form as ...

  f(t) = -16(t² -1/2t) +2

  f(t) = -16(t² -1/2t +1/16) +2 +16(1/16)

  f(t) = -16(x -1/4)² +3

The vertex of the graph is (1/4, 3), so the maximum height is 3 feet.

Answer:

4x-9

Step-by-step Explanation:

Answer:

Step-by-step explanation:

Answer as a fraction = 439/937

Answer as a decimal = 0.469

===================================================

Explanation:

He made 439 baskets out of 937 attempts. So we simply form the fraction 439/937. The number of makes or successes is up top, while the number of attempts is at the bottom. The order is important.

Both 439 and 937 are prime numbers. This means the faction 439/937 cannot be reduced. So we leave it as is.

----------------

You can use a calculator or long division to find that

439/937 = 0.4685

which is approximate. Rounding to the nearest thousandth (i.e. 3 decimal places) will lead us to 0.469

If we were to move the decimal 2 spots to the right, then we convert to percent form and that's roughly 46.9%

Answer:

0.160573

Step-by-step explanation:

Answer:

[tex]y = - \frac{1}{2} x + \frac{5}{2 } \\ y = \: x ( - \frac{1}{2}) + \frac{5}{2} \\ y = - \frac{6}{2} x \\ y = - 3x \\ \frac{y}{3} = x[/tex]

Answer:

D

Step-by-step explanation:

The graph has vertical asymptotes x = 1 and x=2. It means that the denominator is approaching zero when x is close to 1 or x close to 2. Hence the denominator has factor x -1 and x-2 and D is the only option to have that.

Answer:

Straight

Step-by-step explanation:

supplementary means sum of two angles

with 180

Answer:

[tex] \frac{ \sqrt{5x} }{5x} [/tex]

Step-by-step explanation:

[tex] \frac{1}{ \sqrt{x5} } [/tex]

[tex] = \frac{1}{ \sqrt{5x} } [/tex]

[tex] = \frac{1}{ \sqrt{5x} } \times \frac{ \sqrt{5x} }{ \sqrt{5x} } [/tex]

[tex] = \frac{1 \sqrt{5x} }{ \sqrt{5x \sqrt{5x} } } [/tex]

[tex] = \frac{\sqrt{5x} }{ \sqrt{5x \sqrt{5x} } } [/tex]

[tex] = \frac{ \sqrt{5x} }{5x} [/tex]

Answer:

A. True

B. False

Step-by-step explanation:

B is false because rational numbers have either repeating decimals or numbers that come to an end.

Answer:

If sum were 75 the integers would be 24, 25 and 26, so the next lowest/smallest sum would be 23 + 24 + 25 is 72. The answer is 23.

Answer:

smallest value=24

Step-by-step explanation:

steps are in picture.

Note:If you have any confusion you can ask me.

Answer:

50 - (18+12)

Step-by-step explanation:

First write the sum of 18 and 12 in parenthesis. (18+12)

Then you  write 50 - in the beginning of the expression because the sum of (18+12) will be substracted "from"  50.

Answer: C.Trapezoid

Step-by-step explanation: I got it correct on pearson

Answer:

2nd - (w - 5)(w + 5)

4th - (-4v - 9)(-4v + 9)

Step-by-step explanation:

1. The first option shows an expression multiplied by its opposite(x -1), so therefore, it does not show the difference of squares

2. The second option does show the difference of squares because it is in the form (a + b)(a - b)

3. The third option is just a square because the same expression is multiplied by itself.

4. The fourth option is the difference of squares because it is in the form (a + b)(a - b). a equals -4v and b equals 9 in this case.

5. The fifth option is not the difference of squares. No term in common in both expressions

6. The sixth option is just a square because the same expression is multiplied by itself.

In all, there are two options that are the difference of squares, the 2nd and 4th.

There are 8 possibilities when flipping three coins and the possibility of getting all heads is 1 out of 8.

1. h h h

2. h h t

3. h t h

4. h t t

5. t t t

6. t t h

7. t h t

8. t h h

Therefore the probability is:1/8

Answer:

300,000 + 4,000 + 10 + 5

Step-by-step explanation:

Write down what everything is worth.

The 3 is worth 300,000 since it's in the hundred thousands place

The 0 is worth nothing so write nothing

The 4 is worth 4,000 since it's in the thousands

The 0 is worth nothing so write nothing

The 1 is worth 10 since it's in the tens place

The 5 is worth 5 since it's in the ones place