Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then select none. When m2 = mC

Answer:

1,645 poles

Step-by-step explanation:

Here, we want to calculate the total number of poles

We can have an arithmetic progression here

Where the last term is the 58 piles , the first term is the top layer which is 12 and the common difference between the piles is 1

Firstly, we calculate the number of stacks which can be obtained using the nth term formula;

Tn = a + (n-1)d

58 = 12 + (n-1)1

58 = 12 + n - 1

58 = n + 11

n = 58-11

n = 47

So we have the stack high up to 47 units

So, using the sum of terms in an arithmetic sequence formula, we have;

Sn = n/2 ( a + L)

where a is the first term 12 and L is the last term 58

Thus, we have

Sn = 47/2( 12 + 58)

Sn = 47/2 * 70

Sn = 1,645

Answer:

this are the equation I was taught

Step-by-step explanation:

_(x2+4x+8)=0

Answer:

safety and quicker to drain for safty

Answer:

x = 9 or x = -9

Step-by-step explanation:

The parameters of the given points are;

The location of the point T = (0, 7)

The location of the point U = (x, -5)

Then distance between points T and U = 15 units

The distance between points A and B, 'd', given their coordinates, A(x₁, y₁) and B(x₂, y₂) is found using the following formula;

[tex]d=\sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

Therefore, for the given points, T(0, 7) and U(x, -5), we get;

[tex]15 = \sqrt{\left ((-5) - 7 \right )^{2}+\left (x - 0 \right )^{2}}[/tex]

Squaring both sides, gives;

[tex]15^2 = \left ((-5) - 7 \right )^{2}+\left (x - 0 \right )^{2}} = (-12)^2 + x^2[/tex]

∴ x² = 15² - (-12)² = 81 = 9²

x² = 9²

∴ x = ±√(9²) = ± 9

The possible values of x are x = 9 or x = -9

Answer:

B

Step-by-step explanation:

Answer:

the supplement of angle 70∘ is 110∘. Two angles are called supplementary angles if their sum is 180 degrees.

Answer:

diagonal, congruent triangles

Step-by-step explanation:

Answer:

90 students.

Step-by-step explanation:

279-9=270, and 270 divided by 9 is 90.

Answer: -6y-12 and 5.5h+14

Step-by-step explanation:

-2(3y+6) = -6y-12

5.1h-2.6h+3(h+4)= 2.5h + 3h+14 = 5.5h+14

Answer:

54

Step-by-step explanation:

Since triangle ABC ~ DEF

Angle A = Angle D

Angle A = 54

Answer:

[tex]36[/tex]

Step-by-step explanation:

The expression [tex]_nC_k[/tex] is used to denote the number of ways you can choose [tex]k[/tex] things from a set of [tex]n[/tex] things. It is equal to:

[tex]_nC_k=\binom{n}{k}=\frac{n!}{k!(n-k)!}[/tex]

In this case, [tex]n=9[/tex] and [tex]k=2[/tex], so:

[tex]\implies \frac{9!}{2!(9-2)!}=\frac{9!}{2!7!}=\boxed{36}[/tex]

You can also think of it like this:

[tex]_9C_2[/tex] is saying 9 choose 2. We are choosing 2 things from a set of 9 things, where order doesn't matter. For the first thing we choose, there are 9 options. Then 8 options, 7, and so on. Since we're only choosing two things, there are [tex]9\cdot 8=72[/tex] permutations. However, the order of which we choose each thing does not affect what we've chosen overall (e.g. If we're choosing two donut flavors original and strawberry, it doesn't matter which flavor I choose first, because I'm still getting the same two flavors). Therefore, we must divide this by the number of ways we can arrange two distinct values, which is [tex]2![/tex]. Our answer is thus [tex]\frac{72}{2!}=\frac{72}{2}=\boxed{36}[/tex]

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

Explanation:

We have 9*8 = 72 different permutations. This is if we used the nPr formula with n = 9 and r = 2.

Notice the countdown from 9 to 8. This is because we don't reuse the same element twice.

Since order doesn't matter with nCr, we will divide by 2. This is because something like AB is the same as BA. So we go from 72 to 72/2 = 36

The value 36 is found in Pascal's Triangle in the row that has 1,9,... at the start of it. Start at the left hand side and count exactly 3 spaces to the right, and you should land on 36.

Answer:

[tex]h=4m[/tex]

Step-by-step explanation:

Speed [tex]V=24m/s[/tex]

Time [tex]t=6.0s[/tex]

Generally the equation for Height is mathematically given by

 [tex]h=\frac{V}{t}[/tex]

 [tex]h=\frac{24}{6}[/tex]

 [tex]h=4m[/tex]

Answer:

3x

Step-by-step explanation:

You multiply the pervious number with 3 to get the next number

For example 2 times 3 = 6

6 times 3 = 18

18 times 3 =54

54 times 3= 162

So on and so forth

Answer:

ANSWER IS B

Step-by-step explanation:

5x - 3 = 3x + 1

5x - 3x = 1 + 3

2x = 4

x = 4/2

x = 2

Answer:

B. 2

Step-by-step explanation:

The sides 5x - 3 and 3x + 1 are the same length, so you can put an equal sign: 5x - 3 = 3x + 1, x = 2:

5(2) - 3 = 3(2) + 1

10 - 3 = 6 + 1

7 = 7

So x is 2

Answer:

4340.

Step-by-step explanation:

14-5 = 9 and 23-14 = 9 so this is an arithmetic series with common difference of 9.

Sum of n terms = (n/2)[2a1 + d(n - 1)]

Here n = 31, d = 9 and a1 = 5.

So, substituting, we have:

Sum of 31 terms = (31/2)[2*5 + 9(31-1)]

= 15.5 * 280

= 4340.

Answer:

24

Step-by-step explanation:

12 + (12)

first do for the bracket

12 + 12

24

Answer:

Ten thousands

Step-by-step explanation:

Replace all other digits with zero

This gives 40,000

Ten thousand (10,000) has the same amount of digits

Answer:

5x+8y

Step-by-step explanation:

We can first open the brackets by using the distrubitive propety.

2(x+4y)+3x

2x+8y+3x

Now we can combine like terms.

5x+8y.

I combined the 3x and the 2x. This works because imagined I have 3 of something then I got 2 more of that something I would now have 5 of that something.

Hoped this helped,

JoeLouis2

Answer:

no

Step-by-step explanation:

it is irrational.

Answer:

Step-by-step explanation:

[tex]LHS = \\\\=(x+a)(x+b)(x+c) \\\\=(x+a)(x^2 + cx + bx + bc)\\\\=x(x^2 +(b+c)x + bc) + a(x^2 + (b+c)x + bc)\\\\=x^3 + (b+c)x^2 + bcx+ ax^2 + (b+c)ax+ abc\\\\=x^3 + ax^2 + (b+c)x^2 + bcx + abx + acx + abc\\\\=x^3 + (a+b+c)x^2 + (ab+ac+bc)x+ abc\\\\= RHS[/tex]

Answer:

Explanation:

Hey there!

Please look explanation in picture. As all the factor gives us "0" while putting them in equation, it is verified that they are the factors of f(x).

Hope it helps!

Answer:

almonds =345, cashews=125

Step-by-step explanation:

a=almonds, c=cashews

8a+12c=4260. Equation 1

a + c= 470  Equation 2

a=470-c. Isolate a from equation 2

8(470-c)+12c=4260 sub value of a from equation 2 into equation 1

3760-8c+12c=4260

4c=500

c=125

solve for a by substituting value of c into either equation

a+c=470

a+125=470

a=345

Answer:

0.2333 = 23.33% probability that both of them have the secret decoder ring

Step-by-step explanation:

The cereals are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

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

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

In this question:

45 boxes, which means that [tex]N = 45[/tex]

22 have the secret decoder ring, which means that [tex]k = 22[/tex]

Two boxes, which means that [tex]n = 2[/tex]

What is the probability that both of them have the secret decoder ring?

This is P(X = 2). So

[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(2,45,2,22) = \frac{C_{22,2}*C_{23,0}}{C_{45,2}} = 0.2333[/tex]

0.2333 = 23.33% probability that both of them have the secret decoder ring

Answer:

Step-by-step explanation:

1. Three million, two hundred ninety eight thousand, seventy six

2. 50,003,087

50,000,000+3000+87

3. 60,400,239

Answer:

Sam will finish 42 pages in 126 minutes.

Step-by-step explanation:

Number of pages read by Sam = 6

Time taken to read these pages = 18 minutes

Rate at which Sam is reading the pages of the book = [tex]\frac{\text{Number of pages read}}{\text{Time taken to read these pages}}[/tex]

= [tex]\frac{6}{18}[/tex]

= [tex]\frac{1}{3}[/tex] pages per minute

Number of pages read in 126 minutes = Rate of reading × Time

                                                            = [tex]\frac{1}{3}\times 126[/tex]

                                                            = 42 pages

Therefore, Sam will finish 42 pages in 126 minutes.

Answer:

the jam requires three qts of raspberry so that would be 12 cups and there are 2 cups to a pint so 6 pints I think

Answer:

B = 34°

C = 108°

F = 72°

Step-by-step explanation:

For B, angles in a triangle add up to 180°.

For C, angles in a quadrilateral add up to 360°.

For F, angles in a straight line add up to 180°.

Answer:

I hope this helps

Step-by-step explanation:

Answer:

Here you go!

Hope this helps!