Prove the following

please help

Answer:

complementry and ajaecent

Step-by-step explanation:

complementry because they add up to 90 and ajecent cause they are next to each other

Answer:

m∠2 is 55°

Step-by-step explanation:

Let us revise some facts in geometry

We will use these facts to solve our question

∵ ∠1 is an angle of a triangle

∴ m∠1 + 40° + 85° = 180° ⇒ 1st fact

→ Add the like terms in the left side

∴ m∠1 + 125° = 180°

→ Subtract 125° from both sides

∴ m∠1 + 125° - 125° = 180° - 125°

∴ m∠1 = 55°

∵ ∠1 and ∠2 formed from the intersecting of two lines

∴ ∠1 and ∠2 are vertically opposite angles

∴ m∠1 = m∠2 ⇒ 2nd fact

∵ m∠1 = 55°

∴ m∠2 = 55°

Answer:

the answer is 9

Step-by-step explanation:

Answer:

4329deg/360deg=12 revolutions

Step-by-step explanation:

Answer:

2.81 as a mixed number is  2 81/100

Step-by-step explanation:

Answer: g(a) = 4(-2) - 3 = -8 - 3 = -11

Step-by-step explanation: your welcome. :)

Answer:

-11

Step-by-step explanation:

g(a) = 4a -3

g(-2)= 4(-2)-3

g(-2)= -8-3

g(-2)= -11

Answer:

The expression which represents the total number of miles he jogs in a week is 7 m ⇒ A

Step-by-step explanation:

Let us solve the question

∵ Dominic goes jogging every morning

∵ m represents the number of miles he jogs each day

→ That means he jogs m miles every day

∵ There are 7 days in a week

→ That means he jogs m miles every day for 7 days

∵ m + m + m + m + m + m + m = 7 × m

∴ He jogs in 1 week 7 × m miles

∴ He jogs 7 m miles in a week

The expression which represents the total number of miles he jogs in a week is 7 m

Answer:

A. 7m

Step-by-step explanation:

Since the answer above was really long

The general equation of a straight line in slope-intercept form is given as:

y = mx + c

The slope-intercept form of 6x - 10y = 20 is y = (3/5)x - 2.

The equation of a line is a form of representing the set of points, which form a line in a coordinate system. 

The general equation of a straight line is given as:

y = mx + c,

where m = slope of the line and c = y-intercept.

We have,

6x - 10y = 20 _____(1)

The slope intercept form is  y= mx + c

So,

Subtract -6x on both sides.

6x - 10y - 6x = 20 - 6x

-10y = 20 - 6x

Divide both sides by -10.

y = 20/-10 + 6x/10

y = -2 + 3x/5

y = (3/5)x - 2

Thus,

The slope-intercept form of 6x - 10y = 20 is y = (3/5)x - 2.

Learn more about equation of a line here:

https://brainly.com/question/14200719

#SPJ2

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

The card says we need 1 & 1/2 cups of flour

Let's convert this to decimal form

1 & 1/2 = 1 + 1/2

1 & 1/2 = 1 + 0.5

1 & 1/2 = 1.5

The mixed number 1 & 1/2 is equivalent to the decimal number 1.5

Now multiply this by 3. This is because the recipe originally serves 10 people, but we want to serve 3 times as many people (3*10 = 30 total).

So,  3*1.5 = 4.5

Now convert back to a mixed number

4.5 = 4 + 0.5

4.5 = 4 + 1/2

4.5 = 4 & 1/2

We'll need 4 & 1/2 cups of flour.

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

Here's another way to approach the problem

Multiply 3 by 1 & 1/2 to get

3*(1 & 1/2) = 3*(1 + 1/2)

3*(1 & 1/2) = 3*1 + 3*1/2

3*(1 & 1/2) = 3 + 3/2

3*(1 & 1/2) = 3 + (2+1)/2

3*(1 & 1/2) = 3 + 2/2 + 1/2

3*(1 & 1/2) = 3+1 + 1/2

3*(1 & 1/2) = 4 + 1/2

3*(1 & 1/2) = 4 & 1/2

Answer: Governor A gets $198,042.5 dollars. Governor B gets $99,672.5 Dollars

Hope this helps!!!

Step-by-step explanation:

mark me brainliest please

Answer:

1

Step-by-step explanation:

Answer:

3X + 6 = 3

Step-by-step explanation:

Answer:

16 cm

Step-by-step explanation:

Area of triangle= ½ ×base ×height

Substitute given information into the formula:

96= ½ ×base ×12

Simplify:

96= 6 ×base

Divide both sides by 6:

base= 96 ÷6

base= 16 cm

Answer:

[tex] \\ [/tex]

Step-by-step explanation:

It is given that, the height of a triangle is 12cm, and its area is 96cm² and we have to find the base of triangle.

[tex] \\ [/tex]

To find the base of the triangle, we have to know this formula :

[tex] \\ {\longrightarrow \pmb{\frak {\qquad \frac{1}{2} \times Base \times Height = Area_{(Triangle)} \:}}} \\ \\[/tex]

Now, substituting the values in the formula :

[tex]{\longrightarrow \pmb{\sf {\qquad \frac{1}{2} \times Base \times 12 = 96 \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad \frac{1}{ \cancel2} \times Base \times \cancel{12 } = 96 \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad {1} \times Base \times 6 = 96 \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad Base \times 6 = 96 \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad Base = \frac{96}{6} \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad Base = 16\:}}} \\ \\[/tex]

Therefore,

Answer:

f^-1(x) = (x+10) / 2

Step-by-step explanation:

sooo

f(x) = 2x - 10

y = 2x - 10

x = 2y - 10

x + 10 = 2y

y = (x + 10) / 2

f^-1(x) = (x+10) / 2

Answer:

[tex]f^{-1}(x)=\frac{x+10}{2}[/tex]

Step-by-step explanation:

[tex]f(x)=2x-10\\\\y=2x-10\\\\x=2y-10\\\\x+10=2y\\\\\frac{x+10}{2}=y\\ \\f^{-1}(x)=\frac{x+10}{2}[/tex]

As the two functions are inverses of each other, they will be symmetrical about the line [tex]y=x[/tex].

Answer:

Slope = -2

Step-by-step explanation:

Answer: The slope is -2

Step-by-step explanation:  Find the difference in y-values divided by the difference in x-values

15 -(-5) = 20

-7 - 3 = -10

20/-10 = -2

                 Statement                               Reason                  

⇒ ∠2 = ∠5 = ∠6 = 3x + 7

Looking at the picture, we can see that ∠6 and 4x + 5 are a linear pair.

Finding the value of x:

⇒ ∠6 + 4x + 5 = 180

⇒ 3x + 7 + 4x + 5 = 180

⇒ 7x + 12 = 180

⇒ 7x = 180 - 12

⇒ 7x = 168

⇒ 7x/7 = 168/7

⇒ x = 168/7 = 24

Now, substitute the value of x into the expression "3x + 7" to find ∠6.

Finding the measure of ∠6:

⇒ ∠6 = 3x + 7

⇒ ∠6 = 3(24) + 7

⇒ ∠6 = 72 + 7

⇒ ∠6 = 79°

r=a−qb is the correct answer-

r=0

Step-by-step explanation:

r is not in the equation

Answer:

The answer would be 48

Sydney is 48

Devaughn is 62

48 + 62 = 110

Okays so you start by doing the equation 110 - 14 = 96

then dividing 96 by 2 (96 ÷ 2) which is 48

add 14 to 48 and you will get 62. We can automatically assume that sydney is 48 because when you add 48 to 62, you will get 110. I hope that this helps! ^‿^

Answer:

10 of the students in the class are boys

Answer:

5/2

Step-by-step explanation:

to find the slope use the equation y2 - y1/ x2 - x1

sooo

0 - 5/1 - 3

-5 / -2

5/2

Answer:

x = 129.8 degrees,  y = 50.2 degrees,    x + y = 180

Step-by-step explanation:

Let's say you have 2 supplementary angles, x and y

So x + y = 180

if x is 79.8 degrees less than the measure of a supplementary angle, then x = y - 79.8

Putting this into our x + y = 180 equation, we get

(y - 79.8) + y = 180

2y - 79.8 = 180

2y = 180 + 79.8

2y = 259.8

y = 259.8/2 = 129.9 degrees.

so x = 129.9 - 79.6 = 50.3 degrees.

See if it worked. x = 129.9 degrees,  y = 50.3 degrees,    x + y = 180 so we found the correct two angles! :-)

Answer: 2 [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

8/3 ( 8 divided by 3)

2 [tex]\frac{3}{5}[/tex]

Answer: 2   3/5

Step-by-step explanation: sorry for answering late and have a wonderful day!!!!!

also my i didnt know i walked 8 miles in 3 hours lolz. im just playin XD

Answer:

Let the first number be f.

Let the second number be s.

f = s-12

f+s = 100

Substitute the f in the first equation for the second equation.

s-12+s = 100

2s-12 =100

2s = 112

s = 56

Therefore f = 56-12 = 44

The 2 numbers are 56 and 44.

g+3f+f+g+g

g+g+g+3f+f

g(1+1+1)+f(3+1)

g(3)+f(4)

3g+4f

Answer:

$441.60

Step-by-step explanation:

Invoice amount: $460

Term 4/10= 4% discount if paid early within the first 10 days of the invoice date

Amount due: $441.60

Discount amount: $18.40

Invoice amount: $460

Term: 1/15= 1% discount if paid early within the first 15 days of the invoice date

Amount due: $455.40

Discount amount: $4.60

Invoice amount: $460

Term: n/30= no discount if paid on or after the 30 days from the invoice date

Amount due: $460

Discount amount: $0

Answer:

23y

Step-by-step explanation:

this my answer hope it's help

make me brainless pls

Answer:

71.54km/hr

Step-by-step explanation:

Answer:

y=mx-22

Step-by-step explanation:

Take standard line equation y=mx+c and substitute the given values of m=4, x=6, y=2 to find out the value of c