The answers

Alternate exterior angles

Corresponding angles

Same-side interior angles

Alternate interior angles

Answer:

3808

Step-by-step explanation:

Given the sequence: 13,19,25

First Term, a=13

Common Difference, d=19-13=25-19=6

Since we have a common difference, the sequence is an arithmetic sequence.

We determine the sum of any nth term of an arithmetic sequence using the formula:

[tex]S_n=\frac{n}{2}[2a+(n-1)d] \\n=34, a=13, d=6\\$Therefore:\\S_{34}=\frac{34}{2}[2(13)+(34-1)*6]\\=17[26+33*6]\\=17[26+198]\\=17*224\\S_{34}=3808[/tex]

The sum of the first 34 terms is 3808.

Answer:

4 or 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

3+5+2=10

3/10 x 300=£90

3/10 x300=£150

2/10 x300=£60

Mary receives £150

Answer:

2/7

Step-by-step explanation:

Fraction of children under 10 = 5000 / 17500 (without being simplified).

we can then simplify it to:

50 / 175 = 10/35 = 2/7

Hope this helps.

Please mark brainiest

Answer:

[tex]\frac{2}{7}[/tex]

Step-by-step explanation:

So we know there is a population of 17,500 and 5000 are children under the age of 10. We  want to find the the fraction of the children under 10 over the total population in it's simplest form so,

[tex]\frac{5000}{17500} =\frac{500}{1750} =\frac{50}{175}=\frac{2}{7}[/tex]

Answer:

a) y = 4x^2

Step-by-step explanation:

Because in a) y = 4x^2 the degree of equation is 2.

Answer:

[tex]x = -13\frac{1}{2}[/tex]

Step-by-step explanation:

Eight less than a third of a number is the sum of that number and one.

Let the number be x.

That is:

[tex]\frac{1}{3}x - 8 = x + 1\\ \\=> x - \frac{1}{3}x = -8 - 1 \\\\\frac{2}{3}x = -9\\\\x = -9 * \frac{3}{2}\\ \\x = \frac{-27}{2}[/tex]

[tex]x = -13\frac{1}{2}[/tex]

Answer:

ln(20×5)=InX^2

In100=InX^2

X^2=100

X=10

The solution of the given expression will be x = 10

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The solution of the given equation is:-

ln(  20 × 5)   =   InX²

In100   =    InX²

X²   =    100

X    =    10

Therefore the solution of the given expression will be x = 10

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Answer:

y = -6x - 6

Step-by-step explanation:

First, subtract 12x from both sides:

12x + 2y = -12

-12x            -12x

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

2y = -12x - 12

Divide both sides by 2:

y = -6x - 6

Answer:

y=−6x−6 because thats what the guy on top of me said

Step-by-step explanation:

Answer:

The correct answer is a) (6, 3).

Step-by-step explanation:

The midpoint is determined in straight lines by subtracting the larger x-coordinate value and the smaller x-coordinate value. In this case, it is 10 - 2. You earn 8. Then, divide this answer by 2. So, you get 4. Finally, either subtract this from the larger x or the smaller x. You will earn 6. Since you are solving for a straight line, your y-coordinate will be the same as the others. Therefore, A is your answer.

The answer is (6,3)

please see attached picture for full solution

Hope it helps

Good luck on your assignment

Stay safe..

Answer:

Let's begin by looking at the standard form for the equation of a parabola. The standard form is (x - h)2 = 4p (y - k), where the focus is (h, k + p) and the directrix is y = k - p.

Step-by-step explanation:

hope this helps you :)

If two chords in a circle are congruent, then they are the same distance from the center of the circle. Then the correct option is B.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The central angle is double the angle at the periphery that was subtended by the same chords.

Both the extreme points of the chords are connected to the circle. Then the two triangles are formed whose two sides are the radius of the circle that is congruent to each other. Then the triangle will be an isosceles triangle.

And the chord length is also congruent. Then the triangles are congruent to each other by SSS postulates.

If two chords in a circle are congruent, then they are the same distance from the center of the circle. Then the correct option is B.

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Answer:

The last one

Step-by-step explanation:

Answer:

4 is the correct answer, I believe.

Reasoning:

The first line must be graphed with a constant y of 3, and stop before -2. Which it does on all 4 graphs.

The third line must, when extended, pass through point (0, -3). Only graph 1 and 4 follow that criteria, so it is not 2 or 3.

The second line's y-intercept must be 2, as well as begin at -2 and end before 2. Only graph 4 correctly plots this equation.

I hope this helps! :)

Answer:

Solve for x:

56 x^2 + 4 = 77

Subtract 4 from both sides:

56 x^2 = 73

Divide both sides by 56:

x^2 = 73/56

Take the square root of both sides:

Answer: |

| x = sqrt(73/14)/2 or x = -sqrt(73/14)/2

The required coordinate of the point N is (-5, -1). Option b is correct.

Given that,
Segment MN is drawn in the coordinate plane. Point M has coordinates (13,9) and the midpoint of MN is the point (4.4). What are the coordinates of point N to be determined.

Coordinate, is represented as the values on the x - axis and y - axis of the graph

Let the coordinate of point N is (x, y).
Here, point M has coordinates (13,9) and the midpoint of MN is the point (4.4).

The Coordinate of the midpoint is given as,
(4 = (x + 13)/2, 4 = (y + 9 )/2)
(x = 8 - 13, y = 8 - 9)
(x = -5 , y = -1 )
Coordinate of point N is (x, y) = (-5, -1)

Thus, the required coordinate of the point N is (-5, -1).

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Answer:

1/9

Step-by-step explanation:

I'm assuming the equation you mean is y = (x/9)  -- if so, parentheses aren't really required.

The equation for the constant of proportionality is y=kx. So, we will want to find the value of k, which is the constant. The y and x variables are in both equations already, and there is only the 1/9, which is k.

Therefore, the constant of proportionality is 1/9. We can check this answer by putting 1/9 back into the equation. y = 1/9 (x)    or    y=  x/9.

Answer:

1/9

Step-by-step explanation:

None. Just trust me.

Answer:

-102 i think. sorry if i am wrong

Step-by-step explanation:

Answer:

x = -3

y = 7

Step-by-step explanation:

x + 3y = 18

-3x - 12y = -75

multiply first equation by 4

4 × (x + 3y) = 18 ➡ 4x + 12y = 72

now add the two equations up

4x + 12y - 3x -12y = 72 - 75 (-12y will eliminate 12y)

x = -3

Answer:

x=2

Step-by-step explanation:

2.5(6x-4)=10+4(1.5+0.5x)

Distribute

15x -10 = 10 + 6 +2x

Combine like terms

15x -10 =16+2x

Subtract 2x

13x -10 = 16

Add 10

13x= 16+10

13x = 26

Divide by 13

13x/13 = 26/13

x =2

Answer:

x=2

Step-by-step explanation:

2.5(6x-4)=10+4(1.5+0.5x)

Distribute.

2.5*6x-2.5*4=10+4*1.5+4*0.5x

15x-10=10+6+2x

Combine like terms.

15x-10=16+2x

Add 10 to both sides

15x-10+10=16+10+2x

15x=26+2x

Subtract 2x from both sides.

15x-2x=26+2x-2x

13x=26

Divide both sides by 13

x=2

Answer:

The answer is A. 2/3 =5/8

Step-by-step explanation:

The proportion that could be used to determine if the figures represent a dilation is 2/3= 5/8. Option A

Dilation is the process of increasing the size of the object without changing its shape and this is with a defined scale factor.

To determine if the figures represent a dilation, we need to compare the ratios of corresponding sides.

The correct proportion to use is the ratio of corresponding side lengths.

Then, we have that the figure;

2/3=5/8

This means that the ratio of corresponding side lengths in the figures is the same, indicating a dilation.

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Answer:

A: X=1

Step-by-step explanation:

If DE=2, and E to C is of the same line but is less than half of DE, it has to be the smallest number possible. 6(1)-8=-2

Answer:

identity property of addition-

a+0=a

identity property of multiplication-

a*1=a

Step-by-step explanation:

i cant give u an exact answer as u didnt give Micheals answers so i just gave some examples about what addition and multiplication identity property should look like. Identity property's concept is to keep the same identity. Basically, "a" shouldnt change. In addition, to keep a the same all u hv to do is add 0 as anything plus 0 is the same. for multiplication, just multiply by 1. Hope this helps!!

Answer:

He should have added 0 to 8 and multiplied 1 by 8

Step-by-step explanation:

Answer:

[tex] \boxed{f = -6} [/tex]

Step-by-step explanation:

[tex] = > - 7f - 9 = 9 - 4f \\ \\ = > - 7f + 4f - 9 = 9 \\ \\ = > - 3f = 9 + 9 \\ \\ = > - 3f = 18 \\ \\ = > 3f = - 18 \\ \\ = > f = - \frac{18}{3} \\ \\ = > f = - 6[/tex]

Answer:

46800

Step-by-step explanation:

46821 nearest 100s

look for the tens it is less than 5 so its 800 and the numbers written before the 100s would remain the same

Answer:

X=83°

Step-by-step explanation:

we use cosine law

(8²+16²-17²)÷(2×16×8)=cosC

0.121=cosC

we use cosine inverse to find an angle

cosine^-1 0.121= 83°

Answer:

[tex]A=2\times5\times 10+6\times10+2\times\frac{6\times4}{2} =184\;cm^2[/tex]

Answer:

hi

Step-by-step explanation:

srry

Answer:

option a

Step-by-step explanation: y+y=114 (exterior angle property)

2y=114

y =114/2

y = 57

The measure of angle 'y' in the triangle is 57 degrees.

The figure in the image is a triangle.

From the diagram:

Angle 1 = y degrees

Angle 2 = y degrees

Angle 3 =?

First, we determine the measure of the third angle.

Since the sum of angles on a straight line equals 180 degrees:

Angle 3 + 114 = 180

Angle 3 = 180 - 114

Angle 3 = 66

Now, the total sum of the interior angles of a triangle equals 180 degrees.

Hence:

Angle 1 + Angle 2 + Angle 3 = 180

y + y + 66 = 180

Collect and add like terms:

2y + 66 = 180

2y = 180 - 66

2y = 114

Divide both sides by 2:

y = 114/2

y = 57°

Therefore, y has a value of 57.

Option A) 57° is the correct answer.

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Answer:

77 in ^2 is the best estimate

Step-by-step explanation:

We can get the total area from the sum of the triangle and the semi circle

semicircle

1/2 the area of the semicircle

A = 1/2  pi r^2

   1/2 (3.14) ( 4^2)

    25.12

Now find the area of the triangle

The base is 16 -r = 16-4 = 12

The height is 8

A = 1/2 bh

   = 1/2 (8) (12)

   = 48

The total area is 25.12+48 =73.12      

Answer:

z=-7

Step-by-step explanation:

-9+8*14z+8*2=7*17z+7*8

-9+112z+16=119z+56

112z+7=119z+56

-112z       -112z

7=7z+56

-56    -56

-49=7z

:7     :7

z=-7

Answer:

[tex] \boxed{z = -7} [/tex]

Step-by-step explanation:

[tex] = > - 9 + 8(14z + 2) = 7(17z + 8) \\ \\ = > - 9 + (8 \times 14z + 8 \times 2) = (7 \times 17z) + (7 \times 8) \\ \\ = > - 9 + 112z + 16 = 119z + 56 \\ \\ = > 7 + 112z = 119z + 56\\ \\ = > 7 + 112z - 119z = 56 \\ \\ = > 7 - 7z = 56 \\ \\ = > - 7z = 56 - 7 \\ \\ = > - 7z = 49 \\ \\ = > 7z = - 49 \\ \\ = > z = - \frac{49}{7} \\ \\ = > z = - 7[/tex]