Using the image below, identify the angles that are vertical angles, list the angles that are linear pairs, and then solve for , , and .

Answer:

25

Step-by-step explanation:

24 + 1

The value of 8th term of the sequence will be 25.

The nth term of a sequence is given by T = a+ (n-1) d, here a is the first term and d is the common difference.

The nth term of the sequence is 3n+1

The 8th term will be 3 * 8 + 1 = 25

Therefore, the value of 8th term of the sequence will be 25.

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Answer:x=5 and y=8

Step-by-step explanation:

The value of the variable 'x' and 'y' will be 5 and 8, respectively.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals intersect in the center.

GHIJ is a parallelogram. Then the equation is given as,

HI = GJ

5x - 10 = 7x - 20

7x - 5x = 20 - 10

2x = 10

x = 5

Then the other equation is given as,

GH = IJ

3y = 5y - 16

5y - 3y = 16

2y = 16

y = 8

The value of the variable 'x' and 'y' will be 5 and 8, respectively.

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Answer:

C. 30-60-90

Step-by-step explanation:

the ratio for a 3-6-9 triangle is x, 2x, x√3

if x=8, then 2x=16, and x√3 =8√3

it's not A because it is a right angle triangle.

it's not B because the ratio for an isoceles triangle is x:x:x√2. since a and b are not the same value, it can be assumed that it is not the answer

Answer:

c

Step-by-step explanation:

The longest side is hypotenuse.

Using Pythagorean theorem:

c² = a² + b²

16² = 8² + (8√3)²

256 = 256 True, so it is a right triangle.

Short leg = 8, long leg = 8√3

For 30-60-90 right triangle:

short leg = hypotenuse/2 = 16/2 = 8 , true:

long leg = short leg*√3 = 8√3, true.

Answer:

x = 38

Step-by-step explanation:

A straight line is 180°. We are given 134 and 84. We can find the value of ∠QLM and ∠QML by taking the given numbers and subtract it from 180:

180 - 134 = 46

180 - 84 = 96

All triangles add up to 180. And we already have two of the angles in the triangle. So to find x, we take 46 and 96, add, and subtract from 180:

46 + 96 = 142

180 - 142 = 38

Answer:

x = 38

Step-by-step explanation:

∠ KLO and ∠ MLO are adjacent and supplementary, thus

∠ MLO = 180° - 134° = 46°

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ NMO is an external angle of the triangle, thus

x + 46 = 84 ( subtract 46 from both sides )

x = 38

Answer:

D

Step-by-step explanation:

X is increased by a factor of 5, so y should be multiplied by 5 as well. So y = 20*5=100

Answer:

f(x)=-3x+14

Step-by-step explanation:

y +1=-3(x–5)

y +1=-3x+15

y= -3x+15-1

f(x) = -3x + 14

Answer:

5

Step-by-step explanation:

We can find the slope given two points

m = (y2-y1)/(x2-x1)

   = (-10- -5)/(0 -1)

   (-10+5)/(-1)

     - 5/-1

     5

Answer:

5

Step-by-step explanation:

Use the formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Plug in the numbers/coordinates accordingly:

[tex]m=\frac{-10+5}{0-1}[/tex]

[tex]m=\frac{-5}{-1}[/tex]         →         [tex]m=\frac{5}{1}[/tex]

m = 5

Answer:

1.5

Step-by-step explanation:

We can set up the equation 0.50X = 0.750

Divide by 0.5 and we get .75/.5=1.5

Answer:

The mean will increase by 2.5

Step-by-step explanation:

The mean is just another word for the average of the data set. You can find this by adding all of the values and dividing by the number of values there are. (i.e 2+4+7+6+3+6+7 divided by 7). The original mean is 5. If you add 25, the average will increase to 7.5

Answer:

increased 2.5

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Answer:

hi I hope this helps you

Answer:

5310

Step-by-step explanation:

She gets 270 extra every month and if you multiply that by 3 then you add that number onto 4500 then you get 5310

Answer:

5359.57

Step-by-step explanation:

4500x1.06^3=5359.57

it is ^3 because it is after three months

Answer:

0.42* 1265=x

Step-by-step explanation:

There are 1265 students in Cypress Middle School. So we already know one part of the equation. 42% of these students are in PE. So we know that 42% of  these 1265 students are in PE. Of these means you probably have to multiply 42% and 1265. 42% = 0.42. So to write an equation we take the 0.42 and 1265 and put it together. Therefore, 0.42 times 1265=x.

Answer:

$300

Step-by-step explanation:

Money that she earns per hour:

$180÷18=$10

30 hours:

30×$10=$300

Answer:

$300

Step-by-step explanation:

Answer:

Function B has the greater initial value because the initial value for function A is 4 and the initial value for Function B is 5

Step-by-step explanation:

Initial value of A is y=4 at x=0,

and

initial value of B is y=0*6+5= 5 at x=0

Function B has the greater initial value because the initial value for function A is 4 and the initial value for Function B is 5

Answer:

x = 147/5 and y = 78

Step-by-step explanation:

First solve by substitution and put 78 into y in -5x + 2y = 9 so you get 147/5

then plug 147/5 into x and find y

Answer:

x = -147/5 , y = 78

Step-by-step explanation:

- 5x + 2y = 9

Y = 78

Substitute the second equation into the first

-5x + 2(78) = 9

-5x +156 = 9

Subtract 156 from each side

-5x+156-156 = 9-156

-5x =147

Divide each side by -5

-5x/-5 =147/-5

x = -147/5

Answer:

c)

Step-by-step explanation:

(-4,2)  ; (4,-5)

[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-5-2}{4-[-4]}\\\\=\frac{-7}{4+4}\\\\=\frac{-7}{8}[/tex]

m = -7/8 ;   (-4,2)

equation: y - y1 = m(x - x1)

[tex]y-2=\frac{-7}{8}(x-[-4])\\\\y-2=\frac{-7}{8}(x+4)\\\\y-2=\frac{-7}{8}x +\frac{-7}{8}*4\\\\y=\frac{-7}{8}x-\frac{7}{2}+2\\\\y=\frac{-7}{8}x-\frac{7}{2}+\frac{4}{2}\\\\y=\frac{-7}{8}x-\frac{3}{2}\\[/tex]

Answer:

An algebraic equation has an equal sign.

Step-by-step explanation:

By definition, an equation must have an equal sign. Otherwise, it cannot be considered an equation.

Answer:

49°

Step-by-step explanation:

Lines k and n seem to be parallel, so that means that 7x = 2x + 35 (corresponding angles are congruent), and x = 7. That means that angle A = 2x + 35 = 14 + 35 = 49° (because they are vertical angles).

The measure of <A is 49 degree.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment..

Answer:

I am also truly sorry

Step-by-step explanation:

Answer: 29

Step-by-step explanation:

replace n with 8

Answer:

Hi there hope ur having a good day , the answer is

18P

Step-by-step explanation:

[6 X 3]P

18P

Answer:

18P

Step-by-step explanation:

[3X 6]P

18P

Have a great day

f(x)=4x^2+3x+13

Plug in x=1:

f(1)=4(1)^2+3(1)+13

=4*1+3+13

=4+16

=20

Answer:

f(1) = 20

Answer:

20

Step-by-step explanation:

85% is the percentage

pls mark as brainliest

Answer::

Step-by-step explanation:

Answer:(4,-2)

Step-by-step explanation: elimination method

3(3x+5y)=2×3

9x+11y=14

9x+15y=6

-

9x+11y=14

4y=-8

y=-2

To get x replace y with -2

3x+(5×-2)=2

3×=12

X=4

Answer:

its A

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

I think you have to use the product rule for counting- which is where you multiply the two numbers. I'm not sure if this is right but I hope I helped

Answer:

5 shirts

Step-by-step explanation:

Think of this question like this, where each shirt option (5 options) has a number:

Shirt #1, Shirt #2, Shirt #3, Shirt #4, and lastly Shirt #5

Without using much math, the answer is 5 shirts because every possible outcome (of the 4 shirts Michael must pick to bring on vacation) will leave exactly one shirt that he will not be able to pack. The only possible outcomes that would fit this question would be:

1)   Shirt #1, Shirt #2, Shirt #3, and Shirt #4

2)   Shirt #2, Shirt #3, Shirt #4, and Shirt #5

3)   Shirt #3, Shirt #4, Shirt #5, and Shirt #1

4)   Shirt #4, Shirt #5, Shirt #1, and Shirt #2

5)   Shirt #5, Shirt #1, Shirt #2, and Shirt #3

Answer:

hope this helps you

Answer:

BO

Step-by-step explanation:

bo becuase radius is the line that touches the center of the circle

Answer:

bo

Step-by-step explanation:

if you look b is the  only on touching that the O's dot

Answer:

48,650

Step-by-step explanation:

3,475 times 14 bc thats how many days are in 2 weeks(obviously)

Taking into account the definition of probability, the correct option is option A.: The probability that the child has a  speaking part is [tex]\frac{2}{5}[/tex].

There are 20 children in the cast of a class play, and 8 of the children are boys. Then,   realizing the difference between the number of children and the number of boys you get that 12 of the children are girls.

On the other side, of the boys, 4 have a speaking part in the play, and of the girls, 8  do not have a speaking part in the play. Then, calculating the difference between the number of girls there are and the number of them that they do not have a speaking part in the play is obtained: 12 girls - 8= 4 girls. So, of the girls, 4  do not have a speaking part in the play.

Therefore, 4 + 4 = 8 of the children have a speaking part.

Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

[tex]P(A)=\frac{number of favorable cases}{number of possible cases}[/tex]

In this case:

Replacing in the definition of probability:

[tex]P(A)= \frac{8}{20}[/tex]

Simplifying the fraction:

[tex]P(A)= \frac{2}{5}[/tex]

Then, the correct option is option A.: The probability that the child has a  speaking part is [tex]\frac{2}{5}[/tex].

Answer:

a=b+12=b=c+4= the relationship between the two of them is 12/3=4

Answer:

a=c+16

Step-by-step explanation:

b=c+4 and a=b+12

so

a=(c+4)+12

a=c+4+12

a=c+16