Explain why there is not enough information to state that CP is the perpendicular bisector of AB.

Answer:

Step-by-step explanation:

We observe the pattern:

It can be put as:

or

The nth term is going to be:

The sum of the 31 terms will be:

or

Use the formula for sum of the first n squares:

The sum N equals:

And the value of N/31 is:

The length of the diagonal of the square is d = 5√2.

Given that, the measure of the side of the square is 5.

We need to find the length of the diagonal of the square.

The diagonal of a square formula is d = a√2; where 'd' is the diagonal and 'a' is the side of the square.

Now, d = 5√2

Therefore, the length of the diagonal of the square is d = 5√2.

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Answer:

Step-by-step explanation:

It tells you the triangle is a right triangle and it tells you that the hypotenuse of both triangles is congruent.

I'm confident that this is the answer.

Answer:

(x+3)(x-3)

Step-by-step explanation:

We know that [tex](a+b)(a-b)=a^2+b^2\\[/tex]

So, here we have x² and 9, which can be written as 3².

Therefore, we can have x=a and 3=b

So we get

(x+3)(x-3)

To check that we are correct, we can expand the brackets:

x²-3x+3x-9

=x²-9

Using the hypergeometric distribution, it is found that there is a 0.0316 = 3.16% probability that both Rose and Liz will be  selected.

Hypergeometric distribution:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability that both are selected is P(X = 2), hence:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,20,4,2) = \frac{C_{2,2}C_{18,2}}{C_{20,4}} = 0.0316[/tex]

0.0316 = 3.16% probability that both Rose and Liz will be  selected.

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9514 1404 393

Answer:

  (a) x = 22

  (b) 46°

  (c) 44°

  (d) 180°

Step-by-step explanation:

Because the sum of the interior angles of a triangle is 180°, we know that the sum of the acute angles in a right triangle is 90°.

The sum of the marked acute angles is 90°.

  2x +(3x -20) = 90

  5x = 110 . . . . . . . . . . add 20, collect terms

  x = 22 . . . . . . . . . divide by 5

__

∠CBA = (3x -20)° = (3·22 -20)° = 46°

__

∠CAB = 2x° = 2(22)° = 44°

__

The sum of a triangle's interior angles is 180°.

Answer:

IH, GH, IG

Step-by-step explanation:

We will use this key rule: The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

The angle G is 59 degrees, H is 61 degrees and I is 60 degrees.

The smallest angle is 59 degrees, so the shortest side is the one opposite to that angle, which is side IH.

The largest angle is 61 degrees, so the longest side is the side opposite to that angle, which is side IG.

The side in-between these two is side GH, which is opposite to the 60 degree angle.

Answer:

70

Step-by-step explanation:

Rotating triangle DEF counterclockwise by 90° about the origin using the rule (x,y) becomes (-y,x) results in new vertices D'(-2, -2), E'(-5, 1), and F'(1, 4).

When rotating triangle DEF counter-clockwise by 90° about the origin using the rule D(x,y) becomes D'(-y,x), the new coordinates are as follows:

⇒ Vertex D(-2, 2) becomes D'(-2, -2),

⇒ Vertex E(1, 5) becomes E'(-5, 1),

⇒ Vertex F(4, -1) becomes F'(1, 4),

This rule swaps the "x" and "y" coordinates while negating one of them, effectively rotating the points 90° counterclockwise around the origin.

Therefore, the new vertices are D'(-2, -2), E'(-5, 1), and F'(1, 4).

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Answer:

1. 6.25 square feet

2. 37.5 square feet

Step-by-step explanation:

25 divided by 4=6.25

6.25x6=37.5

Answer:

Length of his bedroom is 5 Ft

Wall Surface he have in his room is 120 ft^2

Step-by-step explanation:

Answer:

Alva has 7 trucks in each box.

Explanation:

You need to determine the total number of toys Watson has. Watson has 4 (7+2) = 4(9) = 36 toys.

Then, solve the equation.

So how many trucks are in each of Alva's boxes?

The number of trucks that Alva has is 7.

A linear function is a function that is made up of a single variable that is raised to the power of one.

The general form of a linear equation is:

y = mx + b

Where:

The first step is to determine the total number of toy cars and trucks that Watson has.

Total number of toy cars and trucks that Watson has = (4 x 7) + (4 x 2)

= 28 + 8 = 36

Since Watson and Alva have the same number of toy cars and trucks, it means that Alva would also have 36 toy cars and trucks.

The equation that represents the total number of toy cars and trucks that Alva has is:

(2 x 11) + (2 x t) = 36

22 + 2t = 36

36 - 22 = 2t

14 = 2t

t = 14 / 2

t= 7

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Answer:

60

Step-by-step explanation:

yes, it's a question

have a great day

Answer:

19.42 ft

Step-by-step explanation:

5ft + 5ft = 10ft

First let's find the circumference of the entire circle:

Circumference = 2πr

Circumference = 2π * 3

Circumference = 6π

Circumference = 6(3.14)

Circumference = 18.84

Now to find the perimeter of the semicircle, we divide that value by two:

6π = 18.84

(6π)/2 = (18.84)/2

3π = 9.42 ft

10 ft + 9.42 ft = 19.42 ft

-Chetan K

For this case we have a quadratic equation of the form:

ax² + bx + c = 0

Rewriting the equation we have:

3k² -4k - 7 = 0

So we have to:

a = 3

b = -4

c = -7

The solutions will come from:

k = -b±√b²-4(a)(c)/2(a)

Thus, the value of "b" is -4

Answer:

b = -4

Answer: -4

Step-by-step explanation:

i took the quiz its -4

Answer:

Lucy did 37 Push-up

Given:

Lucy 12 More than Jeremy

Jeremy 25

Step-by-step explanation:

If Lucy did 12 more than Jeremy that given you that It "Addition"

so 12+ 25 = 37

Therefore, Lucy did 37 Push-up.

Answer:

each boy will get 1/4 of a cupcake

Step-by-step explanation:

1/2 ÷ 2= 1/4

Answer:

The hundredths place

Expanation

6 is in the one's place

2 is in the theth's place

1 is in the hundredth's place

3 is in the thousandth's place

Step-by-step explanation:

Answer in the picture above

And at the side 2 laws are mentioned

Let's see

When y becomes 2 right?

[tex]\\ \sf\longmapsto 0.4x=2[/tex]

[tex]\\ \sf\longmapsto x=2/0.4[/tex]

[tex]\\ \sf\longmapsto x=5mins[/tex]

Option B

Answer:

geevehrhrirbirbrbrnrnrbrbrbrbrbblo Uruguay 7dm9 7dm9 uvo idilio icono iconorbtbrbbrbrbrbrjrjjrj4jrkkenenenrnrnnktkr

Step-by-step explanation:

higos arraigo titubear otorgó eurodiputados

Answer:

i need points im so sorry

Nick's needs to walk 2,085 feet more to get to the library.

Given:

1 mile = 5,280 feet

Distance from Nick's school to his house = 3195 feet

Recall,

Nick’s house is between his school and the library, which is one mile apart

So,

Distance to work to the library from Nick's house = 1 mile - Distance from Nick's school to his house

= 5,280 feet - 3,195 feet

= 2,085 feet

Therefore,

Nick's needs to walk 2,085 feet more to get to the library.

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