MATHEMATICS HIGH SCHOOL

Please help figure out statement and proof write them down in section
20 POINTS
Please help figure out statement and proof write them down - 1

Answers

Answer 1
Answer:

1. ∠1 ≅ ∠2               1. Given

2. ∠1 ≅ ∠3              2. Vertical Angle Theorem

  ∠2 ≅ ∠4            

3. ∠2 ≅ ∠3             3. Transitive Property refer to Statements 1 & 2

4. ∠3 ≅ ∠4             4. Transitive Property refer to Statements 3 & 2

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How do I write a slope intercept form of an equation of a line through given points ?

Answers

you find the slope of the equation using y2-y1/x2-x1 and then you find the y intercept which is the point that crosses the y axis. Then you put that information into the slope intercept equation (y=mx+b   m=slope b=y intercept)


at least i think thats what you are asking
First you need the slope, which is easily attainable by the change of x over the change of y

ex. with coordinates (x,y)(X,Y)

m=slope
m=( rise)/(run)
   =(  change x)/( change of y)
   = (X-x)/(Y-y)

Then you will have every thing except the y intercept
 (represented by b)

Using the slope-intercept form 
and x and y being represented by the x, y values of a co-ordinate

y=mx+b
We can derive b

b= y-mx

Then when we have both m and b
Insert them into the form

ex. if m=-4, b=6

y=-4x+6

Taa daa!
If that helped please let me know 
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The temperature is 18 farenheit at 7am. By 2pm,the temperature has gotten warmer by 28 degrees. What is the temperature at 2pm?

Answers

Answer: 46 degrees

Step-by-step explanation:

To find the temperature at 2 p.m., we can add the increase of 28 degrees to the initial temperature of 18 degrees.

18 + 28 = 46

Therefore, the temperature at 2 p.m. is 46 degrees Fahrenheit.

Happy to help; have a great day! If you liked my answer, please give me Brainliest :)

A rope.Measure 60cm was divided into 2 groups . 1 was used to make a rectangle of length 12cm and breadth 6cm. And the other was used to make a hexagon . What is the size of the hexagon in each side

Answers

Answer:

4cm

Step-by-step explanation:

Firstly, we need to know the perimeter of the rectangle so as to know the length used to make the rectangle. This is 2(l + b)

P = 2(12 + 6) = 2(18) = 36cm

The length remaining to make the hexagon would be 60 - 36 = 24cm

Now since the hexagon is regular, the length of each side would be 24/6 = 4cm

Note: hexagon is a polygon with 6 sides

Fast Freddie is a widget assembler. He is paid $3.27 for every widget he assembles. What is Freddie's total pay for a week in which he completes 209 widgets?

Answers

Answer:

$683.43.

Step-by-step explanation:

We have been given that Fast Fast Freddie is a widget assembler. He is paid $3.27 for every widget he assembles.

To find Freddie's total pay we need to multiply the total number of widgets assembled in the week by the amount paid to Freddie for each widget he assembles.

\text{Freddie's total pay for the week}=\$3.27* 209

\text{Freddie's total pay for the week}=\$683.43

Therefore, Freddie's total pay for the week is $683.43.
if he is paid 3.27 for every widget assembled...and he assembles 209...then his total pay for the week is : 3.27 * 209 = $ 683.43 <==

G.o has 3 orange picks for every 2 green.if there are 25 picks in all how many picks are orange

Answers

there would be 8 picks out of it all

H(x)=(x^2)+1 and K(x)=-(x^2)+4. If K(H)=0, what are the roots/solutions?a. ±i√3
b. ±i
c. ±2
d. ±1
e. ±1, ±i√3

Answers

H(x)=(x^2)+1\ \ \ \ and\ \ \ \ K(x)=-(x^2)+4. \n\nK(H)=-(H^2)+4=-(x^2+1)^2+4=4-(x^2+1)^2=\n\n.\ \ \ =2^2-(x^2+1)^2=(2-x^2-1)(2+x^2+1)=(1-x^2)(3+x^2)=\n\n.\ \ \ =(1-x)(1+x)(x^2-3\cdot i^2)=(1-x)(1+x)(x- √(3) \cdot i)(x+ √(3) \cdot i)\n\n K(H)=0\ \ \ \ \Leftrightarrow\ \ \ (1-x)(1+x)(x- √(3) \cdot i)(x+ √(3) \cdot i)=0\n\nx=1\ \ \ \ or\ \ \ \ x=-1\ \ \ \ or\ \ \ \ x=√(3) \cdot i\ \ \ \ or\ \ \ \ x=-√(3) \cdot i\n\nAns.\ e.
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