Martha drew a pair of intersecting non-perpendicular lines, I and m. She numbered one pair of vertical angles <1 and <2, and she labeled the second pair of vertical angles <3 and <4. Martha made the conjecture that <1 =~ <2 to validate this conjecture, which of the following would be appropriate reasoning?

A. M<1+ M<2 +M<3 + m<4 = 360

B. The sum of the measures of angles of a triangle is 180°

C. The measure of all right is 90°

D. Because <1 and <2 are each supplementary to <3, they are therefore congruent

Answer:

the first one

Have a safe and happy new years

The function f(x) = -3 |x+2| represent the graph A. The correct option is A.

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The function f(x) = -3 |x+2| is an absolute function. On plotting the graph of the function we will get the graph at (-2,0) coordinate and cut the y axis at ( 0,-6 ) coordinate. The graph is attached with the answer below.

Therefore, the function f(x) = -3 |x+2| represent the graph A. The correct option is A.

To know more about functions follow

https://brainly.com/question/25971887

#SPJ2

Answer:

Step-by-step explanation:

3(x+y)= 3x+3y,

you have to multiply the number with each term that is in parenthesis

Answer:

3x+3y

Step-by-step explanation:

3x+3y is pretty much the simplified version.

Answer:

The best statement which explains the relationship between lines AB and CD is "They are parallel because their slopes are equal" ⇒ A

Step-by-step explanation:

In the given figure

∵ The blue line passes through points A and B

∵ A = (-4, -2) and B = (4, 4)

∴ x1 = -4 and y1 = -2

∴ x2 = 4 and y2 = 4

→ Substitute them in the rule of the slope

∵ m(AB) = [tex]\frac{4--2}{4--4}[/tex] = [tex]\frac{4+2}{4+4}[/tex] = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]

∴ The slope of line AB is  [tex]\frac{3}{4}[/tex]

∵ The green line passes through points C and D

∵ C = (0, -3) and D = (4, 0)

∴ x1 = 0 and y1 = -3

∴ x2 = 4 and y2 = 0

→ Substitute them in the rule of the slope

∵ m(CD) = [tex]\frac{0--3}{4-0}[/tex] = [tex]\frac{0+3}{4}[/tex] = [tex]\frac{3}{4}[/tex]

∴ The slope of line CD is  [tex]\frac{3}{4}[/tex]

∵ The slope of line AB = the slope of line CD

∵ Parallel lines have the same slope

∴ AB // CD

∴ AB and CD are parallel lines

The best statement which explains the relationship between lines AB and CD is "They are parallel because their slopes are equal"

Answer:

a. they are parallel because their slopes are equal

Step-by-step explanation:

did the review on edge

Hence, the value of [tex]5h(-m+f)=6\\\\[/tex] is [tex]f=\frac{6}{5h}+m[/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given equation is

[tex]5h(-m+f)=6\\\\-m+f=\frac{6}{5h}\\\\f=\frac{6}{5h}+m[/tex]

Hence, the value of [tex]5h(-m+f)=6\\\\[/tex] is [tex]f=\frac{6}{5h}+m[/tex].

To know more about the equation

https://brainly.com/question/12788590

#SPJ2

Answer:

y = -2x - 3

Step-by-step explanation:

-solve for y: y = 1/2x + 2

-perpendicular equals opposite slope: -2

-plug in the point: (1) = -2(-2) + b

                               1 = 4 + b

                                b = -3

put it all together: y = -2x - 3

Answer:

y = 9.2

Step-by-step explanation:

21.7 - 12.5 = 9.2

Answer:

y = 9.2

Step-by-step explanation:

Answer:

[tex] m\angle ABC = 35\degree [/tex]

Step-by-step explanation:

(3x - 70)° = x° (corresponding angles)

3x - 70 = x

3x - x = 70

2x = 70

x = 70/2

x = 35

[tex]

m\angle ABC = (3x - 70)\degree \\\\

m\angle ABC = (3\times 35- 70)\degree \\\\

m\angle ABC = (105- 70)\degree \\\\

\huge\red {\boxed{m\angle ABC = 35\degree }} \\\\[/tex]

Answer:

A. 10/3

Step-by-step explanation

improper fraction examples;

[tex]\frac{12}{3}[/tex]   [tex]\frac{10}{9}[/tex]   [tex]\frac{11}{10}[/tex]

An improper fraction is a fraction that has a numerator bigger than the denominator, ( [tex]\frac{N}{D}[/tex] ), therefore the answer would be A.

Hope this helps

Final Answer: A. [tex]\frac{10}{3}[/tex]

Steps/Reasons/Explanation:

Question: Which of the following is an example of an improper fraction? a. 10/3, b.6/7, c. 4/5, d. 3/10

An improper fraction is a fraction that's numerator is greater or equal to its denominator. The correct answer would be A. [tex]\frac{10}{3}[/tex] because its numerator is greater than its denominator.

~I hope I helped you :)~

Answer:

Pretty sure it's B, the second one from the top

Answer:

Soda tax — Should people have to pay an extra tax on soda or junk food?

Your conversation should include the following:

A total of at least five entries for each side (10 entries total—two to three sentences each)

Accurate facts used to support both perspectives

At least two properly cited sources used for research

Step-by-step explanation:

Answer:C 2

Step-by-step explanation:

Answer:

The answer would be B) 17 1/3

Answer:

im pretty sure its d

Step-by-step explanation:

Answer:

8/3

Step-by-step explanation:

Use rise over run. Find two points that are at perfect points. For example (3,2). Don't use something like (2.45, 7.34), That will make it difficult. I used (0, 4) and (-3, 4). To get from (-3,4) to (0,4), you have to go up 8 and to the right 3. Always count up or down first and then side to side.  

Answer: 34 units

Step-by-step explanation:

I took the test

Answer:

A shipping company has 3 different sized cube boxes.The volume of 1 box is 216 in 3=648.The volume of 2 box is 512 in 3=1536.The volume of 3 box is 1000 in 3 = 3000.

So, Mia needs to ship a gift with a height of 7 inches.

648 , 1536-3000

-816

Step-by-step explanation:

Answer:

I believe it is associative property of addition or commutative

Step-by-step explanation:

Answer:

[tex] \frac{10}{50} + \frac{35}{50} [/tex]

Sum: [/tex] \frac{9}{10} [/tex]

Step-by-step explanation:

Given, [tex] \frac{1}{5} [/tex] and [tex] \frac{7}{10} [/tex]

Expressing in an equivalent form whereby they would have a common denominator, we would multiply the numerator and denominator of each fraction by the denominator of the other fraction.

Thus, we would have:

[tex] \frac{1 \times 10}{5 \times 10} = \frac{10}{50} [/tex]

[tex] \frac{7 \times 5}{10 \times 5} = \frac{35}{50} [/tex]

[tex] \frac{10}{50} + \frac{35}{50} [/tex]

The sum is: [tex] \frac{10}{50} + \frac{35}{50} = \frac{10 + 35}{50} = \frac{45}{50} [/tex]

Simplify

[tex] \frac{45}{50} = \frac{9}{10} [/tex]

Answer:

y = 3x - 2

Step-by-step explanation:

The equation of a line is y = mx + c where m is the slope of the line and c is the y-intercept. I will be calculating the slope of the line using the points (1, 1) and (2, 4).

Slope = [tex]\frac{rise}{run}[/tex]

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

          = 3

Based on the graph, the y-intercept is (-2) so the equation of the line is:

y = 3x - 2

Answer: a

Step-by-step explanation:

When you multiply 4 and 8 together you get 32. When you multiply 4 and 14 ypu get 56

How to solve your question

Solve for y:

-y = 3 y

Subtract 3 y from both sides:

-y - 3 y = 3 y - 3 y

-y - 3 y = -4 y:

-4 y = 3 y - 3 y

3 y - 3 y = 0:

-4 y = 0

Divide both sides of -4 y = 0 by -4:

(-4 y)/(-4) = 0/(-4)

(-4)/(-4) = 1:

y = 0/(-4)

0/(-4) = 0:

Answer: | y = 0

Answer:

heres the whole question..

Step-by-step explanation:

Which graph shows the solution to the system of linear inequalities?

y ≥ 2x + 1

y ≤ 2x – 2

Answer:

C

Step-by-step explanation:

The input is the value of x. Substitute x = 4 into y for output

y = 3(4)² - 2(4) + 5 = 3(16) - 8 + 5 = 48 - 8 + 5 = 45

Thus the output is 45 → C

Answer:

use

y2-y1

____

x2-x1.

unfortunately I forgot how to solve it but pick 2 coordinates

Answer:

it c

Step-by-step explanation:

Answer:

x=0.8

x=6

Step-by-step explanation:

(5x-4)(x-6)=0

1)5x-4=0

2)x-6=0

1)5x=4

x=4/5 or 0.8

2)x=6

Answer:22

Step-by-step explanation:

Answer

i=2

Step-by-step explanation:

i+i+i+i=8

4i=8

i=8/4

i=2

Answer:

true

Step-by-step explanation:

Step-by-step explanation:

sec330°

= 1 / cos330°

= 1 / cos30°

= 1 / (√3/2)

= 2/√3.

Answer:

[tex]\frac{2\sqrt{3} }{3}[/tex]

Step-by-step explanation:

Using the identity

secx = [tex]\frac{1}{cosx}[/tex] and cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

sec330°

= [tex]\frac{1}{cos330}[/tex]

= [tex]\frac{1}{cos(360-330)}[/tex]

= [tex]\frac{1}{cos30}[/tex]

= [tex]\frac{1}{\frac{\sqrt{3} }{2} }[/tex]

= [tex]\frac{2}{\sqrt{3} }[/tex] ← rationalise the denominator

= [tex]\frac{2}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex]

= [tex]\frac{2\sqrt{3} }{3}[/tex]