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Answer:

D. 27

Step-by-step explanation:

sum of exterior angles = 360

2x + 56 + 57 + 85 + 4x = 360

6x + 198 = 360

6× = 360 - 198

6× = 162

× = 27

Answer:

3a^6

Step-by-step explanation:

Answer:

[tex]30 {a}^{6} [/tex]

Step-by-step explanation:

Hope it is helpful...

Answer:-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-6 , 4)  & (-1 , 2)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]= \frac{2-4}{-1-[-6]}\\\\= \frac{-2}{-1+6}\\\\= \frac{-2}{5}[/tex]

m = -2/5   & (-6 , 4)

y -y1 = m(x -x1)

[tex]y - 4 = \frac{-2}{5}(x - [-6])\\\\y - 4 = \frac{-2}{5}(x + 6)\\\\y - 4 = \frac{-2}{5}x + 6*\frac{-2}{5}\\\\y = \frac{-2}{5}x -\frac{12}{5}+4\\\\y=\frac{-2}{5}x-\frac{12}{5}+\frac{4*5}{1*5}\\\\y=\frac{-2}{5}x-\frac{12}{5}+\frac{20}{5}\\\\y=\frac{-2}{5}x+\frac{8}{5}[/tex]

Answer:

6in is the cubic volume

Step-by-step explanation:

If I'm wrong just correct me

Answer:

The vertex is (-2,10)

Step-by-step explanation:

The vertex is the maximum point on a downward facing parabola

The maximum is (-2,10)

The vertex is (-2,10)

Answer:

two hundred nineteen and 44

OR

two hundred nineteen point 44

Step-by-step explanation:

do not say AND before nineteen. saying AND represents a decimal point. Both can be used (point or and)

Answer:

The square root of 37 minus the square root of 26

[tex]\sqrt{37} -\sqrt{26}[/tex]

Step-by-step explanation:

a) 7 pi / square root 10 = 7(3.14)/3.162277660 = 6.95

b) square root 75 - square root 74 = 8.660254038-8.602325267=0.058

c) square root 37 - square root 26 = 6.082762530-5.099019514=0.98

s) 3 square root 5 - square root 20 / square root 2 =

   3(2.236067978) - 4.472135955/1.414213562=6.708203934-3.162277661=

   3.546

Answer:

bro I don't know. I just need the points so I can keep getting answers. good luck tho I guess.

Given:

A figure of two congruent triangles.

To find:

The triangle congruence postulate by which the given triangles are congruent.

Solution:

First label the vertices as shown below.

In triangle ABC and triangle CDA,

[tex]AB\cong CD[/tex]                   (Given)

[tex]\angle BAC\cong \angle DCA[/tex]                   (Given)

[tex]AC\cong AC[/tex]                  (Common side)

The corresponding two sides and their included angle are congruent in both triangles. So, triangles are congruent by SAS congruence postulate.

[tex]\Delta ABC\cong \Delta CDA[/tex]            [SAS congruence postulate]

Therefore, the correct option is B.

9514 1404 393

Answer:

  a) (x +2)(x +3)

  b) x = -2 or -3

Step-by-step explanation:

a) The constants in the binomial factors will be divisors of 6 that have a sum of 5. You know that ...

  6 = 1×6 = 2×3

The sums of these factor pairs are 7 and 5. You want the pair 2, 3. The factors are ...

  x² +5x +6 = (x +2)(x +3)

__

b) The solutions to the equation are the values of x that make the factors zero:

  (x +2) = 0   ⇒   x = -2

  (x +3) = 0   ⇒   x = -3

Answer:

V =282.6 in ^3

Step-by-step explanation:

The volume of a cylinder is

V = pi r^2 h

We know pi = 3.14 r= 3 and h =10

V = 3.14* 3^2 *10

V =282.6

Answer:

Q

Step-by-step explanation:

5x+15y ≥ -20

Solve for y

15 y≥  -5x-20

Divide by 15

y ≥ -5x/15 -20/15

y ≥ -1/3 x -4/3

Y is greater than or equal to so shade above  and on the line

4x-2y > 6

Solve for y

-2y > -4x+6

y < 2x -3

Shade below the line

The double shaded area is the solution

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

Explanation:

Let's focus on the inequality 4x-2y > 6

Plug in (x,y) = (0,0) to find that...

4x-2y > 6

4(0)-2(0) > 6

0 > 6

This is a false statement. So that means (0,0) is not in the shaded region for 4x-2y > 6. So we'll shade the opposite side of the dashed line to shade regions Q and R (i.e. stuff below the dashed line).

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

Let's check the point (0,0) with the other inequality as well

[tex]5x + 15y \ge -20\\\\5(0) + 15(0) \ge -20\\\\0 \ge -20\\\\[/tex]

This is true because 0 is to the right of -20 on the number line.

So we'll shade regions P and Q to represent the solution set for this inequality. These regions are above the boundary line. Points on the boundary are also included.

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

To summarize so far, we found that

The overlap is region Q which is the final answer

Any point from region Q satisfies both 4x-2y > 6 and [tex]5x + 15y \ge -20\\\\[/tex] at the same time. A point on the solid boundary line is part of the solution set, but stuff on the dashed boundary line are not solution points.

Answer:

Hope this helps!

Step-by-step explanation:

f'(x)=0

Answer:

Step-by-step explanation:

Given Equation:

x^3- 4x^2 + 2x+ 10 = x^2 - 5x-3

which simplifies to

x^3- 5x^2 + 7x+ 13 = 0

Given one of the roots is x = 3x+2i, the conjugate is therefore x = 3-2i.

The product is real, (x-3+2i)(x-3-2i) = x^2-6x+13

The other root can therefore be obtained by long division

(x^3- 5x^2 + 7x+ 13)/(x^2-6x+13) = x+1, or x=-1

Therefore the three roots are:

{x=3-2i, x=3+2i, x=-1 }

The number of turns or bumps in the graph of the function[tex]f(x)=7x^3-14x+2[/tex]  is 2.

A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B. A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math.

f = {(a,b)| for all a ∈ A, b ∈ B}

Given,

[tex]f(x)=7x^3-14x+2[/tex]

Answer has shown in the attached file.

Hence, The number of turns or bumps in the graph of the function[tex]f(x)=7x^3-14x+2[/tex]  is 2.

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Answer:

where is the question . ..... we are ready to help you

Answer:

Length of the hypotenuse - 10

Step-by-step explanation:

To find the hypotenuse, we need to use the Pythagorean theorem.

a^2 + b^2 = c^2

8^2 + 6^2 = c^2

64 + 36 = c^2

c^2 = 100

c = 10

Answer:

the value of x is 2^9/4 then 2^3x-4=2^11/4

Answer:

-6- (2(3))

-6-6=-12

Answer= -12

Step-by-step explanation:

Answer:

26%

Step-by-step explanation:

Answer:

1/10 if its is in the group

Step-by-step explanation:

but if its as the whole thing it would be 1/200 because he has 10  and 10 of 2000 is 1/200

The probability that the winning ticket belongs to Neil is 5%.

It is a branch of mathematics that deals with the occurrence of a random event.

There are a total of 2,000 tickets, and Neil and his 9 friends bought 10 tickets each, so they bought a total of 100 tickets (10 tickets/person x 10 people = 100 tickets).

The probability of Neil's group winning the car is equal to the number of tickets they bought divided by the total number of tickets sold:

Probability = Number of tickets bought by Neil's group / Total number of tickets sold

Probability = 100 / 2000

Probability = 0.05 or 5%

Therefore, the probability that the winning ticket belongs to Neil is 5%.

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

Explanation:

There are A = 13 hearts and B = 4 copies of "7"

The count A+B = 13+4 = 17 may seem like it's the count of hearts or "7" cards, but we're double counting the 7 of hearts. So the true count is actually 17-1 = 16

There are 16 cards we want (either a heart or a "7") out of 52 total. Therefore, the probability is 16/52 = (4*4)/(4*13) = 4/13

Answer:

Factorise:

3a(b+c)-4d(b+c)

Last one.

Further on:

(3a-4d)(b+c)

The factor 3ab + 3ac – 4db – 4dc can be grouped as

a(3b + 3c) - d(4b + 4c).

We can break large polynomials into groups that transmit a common factor. This allows us to factor each separate group, then mix like terms. This exists named factoring by grouping.

Given: 3ab + 3ac - 4db - 4dc.

Expanding the equation a(3b + 3c):  3ab + 3 a c

=3 a b+3 a c-d(4 b+4 c)

Expanding the equation -d(4 b+4 c): -4bd - 4cd

a(3b + 3c) - d(4b + 4c) = 3ab + 3ac - 4bd - 4cd

Therefore, the correct answer is option b) a(3b + 3c) - d(4b + 4c).

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Answer:

1.18 kilometers

Step-by-step explanation:

The middle school is 2.72 kilometers from Marshal house

The school is also 1.54 kilometers away from Ryan house

Therefore the distance of Marshal house from the school can be calculated as follows

= 2.72-1.54

= 1.18 kilometers

Answer:

A,E,G

Step-by-step explanation:

use sohcahtoa

sine = opposite/hypotenuse

cosine=adjacent/hypotenuse

tangent=opposite/adjacent

Answer:

this can be solved by simple unitary method

[tex]time \: taken \: to \: remove \: \frac{5}{9} \: tons \: of \: dirt \: = 1 \: hr \\ time \: taken \: to \: remove \: \frac{31}{6} \: tons \: of \: dirt \: = \frac{31}{6} \times \frac{9}{5} \: hr \\ = \frac{93}{10}hr \\ = 9 \times \frac{3}{10} hr[/tex]