Angelina wants to prove that vertical angles are congruent. She uses the diagram below to formulate her proof.



Angelina has one step wrong in her proof. The steps of her proof are shown below. Mark the step that is INCORRECT.

A.
Linear pairs of angles are complementary, hence, m∠2 + m∠3 = 90°.

B.
Subtracting m∠3 from both sides of the above equation gives m∠2 = m∠4.

C.
In my proof, I used m∠2 + m∠3 = m∠3 + m∠4 to justify linear pairs.

D.
By definition of congruent angles, ∠2 ≅ ∠4. This will show that ∠2 and ∠4 are veritcal angles.

I'm assuming you meant to write 8^(-2) or [tex]8^{-2}[/tex] where the -2 is the exponent over the 8.

If my assumption is correct, then we use the rule [tex]a^{-b} = \frac{1}{a^b}[/tex]

So,

[tex]a^{-b} = \frac{1}{a^b}\\\\8^{-2} = \frac{1}{8^2}\\\\8^{-2} = \frac{1}{64}[/tex]

Answer:

First Equation: One Solution

Second Equation: Infinite Solutions

Third Equation: One Solution

Step-by-step explanation:

Let's solve these equations step by step.

[tex]-2x+3=-3x+2\\[/tex]

Subtract 2 and add 2x

[tex]1=-x\\x=-1[/tex]

The only solution here is -1.

[tex]-2x+3=-2x+3[/tex]

Anytime the equations are the same on both sides, we have infinite solutions.

Add 2x

[tex]3=3[/tex]

Any value of x will satisfy this equation.

[tex]-2x+3=2x+3[/tex]

Add 2x and subtract 3

[tex]4x=0\\x=0[/tex]

The only solution here is 0.

#LearnWithBrainly

Answer:

-1080.

Step-by-step explanation:

I take it that k = -3, if so:-

x = -3yz

  =  (-3)*18*20

   = -1080.

Using the future value formula, it is found that $546,148,903,191,724.25 will be in Devon's account.

It is given by:

[tex]V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right][/tex]

In which:

In this problem, the parameters are as follows: P = 587, r = 0.0525, n = 40 x 12 = 480.

Hence:

[tex]V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right][/tex]

[tex]V(480) = 587\left[\frac{(1 + 0.0525)^{480-1}}{0.0525}\right][/tex]

[tex]V(480) = 546,148,903,191,724.25[/tex]

$546,148,903,191,724.25 will be in Devon's account.

More can be learned about the future value formula at https://brainly.com/question/5025949

The bicycle wheel revolving is a illustration of circumference

The bicycle wheel revolves 4000 times

The given parameters are:

Radius (r) = 40 cm

Distance =10 km

Start by calculating the circumference of the wheel

[tex]C =2\pi r[/tex]

This gives

[tex]C =2 * 3.142 * 40[/tex]

[tex]C =251.36[/tex]

The number of times to cover a distance of 10 km is then calculated as:

[tex]n =\frac{10km}{251.36cm}[/tex]

Evaluate the quotient

[tex]n =3978.35773[/tex]

Approximate

[tex]n =4000[/tex]

Hence, the bicycle wheel revolves 4000 times

Read more about circumference at:

https://brainly.com/question/15673093

A line that is perpendicular to a line with slope m has slope -1/m which is the opposite reciprocal of the original slope.

In this case the original line in standard form is

2x-4y=-8

transform this into slop intercept form

-4y=-2x-8

4y=2x+8

y=(1/2)x+2

The slope of this original line is 1/2 therefore the perpendicular line will have slope -2

y'=2x'+b

then substitute in the order pair (x',y')

1=2(-2)+b

b=5

Therefore equation of line is

y=2x+5

The graph is just following this equation!

If you have any questions about my explanation please ask I will answer them to the best of my ability.

Answer: 1200 in.

Step-by-step explanation: your welcome

Answer: 1200 in² other person was right

Step-by-step explanation: with proof

Answer:

10.7222222

Step-by-step explanation:

965 / 53 - 42 + 79

965 / 11 + 79

965 / 90

= 10.7222222

Answer: 7 dollars

Step-by-step explanation:

You can use a math calculator do 13 + -6

Answer:

4,849

Step-by-step explanation:

1010+3839=4849

Answer:

4,849

Step-by-step explanation:

Brainliest please

1.  An egg

2. A candle

Answer:

-The unknowns of this situation is how much they sold it for.

-Mr.Bust: 32*x=168

-Mr. Sulivian:48*h=156                        *=multiply

-Mr.Bust sold it for more money

-he sold for 12

The ratio p:9 is equal to 50:9 = [tex]\frac{50}{9}[/tex].

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

For solving this equation, firstly, rewrite the information given:

                                          [tex]\frac{p-5}{q-5}=\frac{9}{1} \;(1)\\ \\\frac{p+20}{q+20}=\frac{7}{3} \;(2)[/tex]

From equation 1, you have:

                                        [tex]p-5=9q-45\\ \\ p=9q-40[/tex]

And from equation 2, you have:

                                  [tex]3*(p+20)=7*(q+20)\\ \\ 3p+60=7q+140\\ \\[/tex]

Now, substitute p=9q-40 in 3p+60=7q+140

                                 [tex]3p+60=7q+140\\ \\3*(9q-40)=7q+140\\ \\ 27q-120=7q+140\\ \\ 20q=20\\ \\ q=10[/tex]

If q=10 for p=9q-40,  you will have:

                                [tex]p=9q-40\\ \\ p=9*10-40\\ \\ p=90-40\\ \\ p=50[/tex]

Therefore, the ratio  [tex]\frac{p}{9}[/tex]  is equal to [tex]\frac{50}{9}[/tex].

Learn more about the system of equations here:

https://brainly.com/question/384631

Answer:

20x1=20

Step-by-step explanation:

The product of 1 and any number is the number.

Answer:

20x1=20

Step-by-step explanation:

the identity property says whatever the number gets multiplied by 1 would've that number . hope this helpssss . brainliest ?

Answer:

[tex]x=-35[/tex]

Step-by-step explanation:

Given the following question:

[tex]59+x=24[/tex]

To find the answer we are going to use inverse of operations to isolate the variable, doing this we can then find the value of the variable.

[tex]59+x=24[/tex]
[tex]59-59=0[/tex]
[tex]24-59=-35[/tex]
[tex]x=-35[/tex]

Your answer is "x = -35."

Hope this helps.

Answer:

6 triangles

Solution: In a regular octagon, by joining one vertex to the remaining non-adjacent vertices, 6 triangles can be formed.Step-by-step explanation:

Check the picture below.

Answer:

The amount of money in the savings account goes up by $1500 each month

Step-by-step explanation:

The blue line crosses around halfway mark of the box, so a rough estimate would be $1500 per month.

Answer: T

Step-by-step explanation:

By the alternate interior angles theorem, the given statement is true.

If the end behavior is decreasing to the left, then the function or leading coefficient of the function will be negative and the degree of the function will be Odd.

Leading coefficients are the number numerals that are written in front of a variable that has the biggest exponent.

Similar to other coefficients that are regular, they can be:

Learn more about Leading Coefficient at;

https://brainly.com/question/24881460

[tex]\textit{Law of Cosines}\\\\ \cfrac{a^2+b^2-c^2}{2ab}=cos(C)\implies cos^{-1}\left(\cfrac{a^2+b^2-c^2}{2ab}\right)=\measuredangle C \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ cos^{-1}\left(\cfrac{90^2+55^2-50^2}{2(90)(55)}\right)=\measuredangle C\implies cos^{-1}\left( \cfrac{8625}{9900} \right)=\measuredangle C \\\\\\ cos^{-1}\left( \cfrac{115}{132} \right)=\measuredangle C\implies 29.4^o\approx \measuredangle C[/tex]

Answer:

C=29.4°

Step-by-step explanation:

[tex]c=50\:ft\\\\a=90\:ft\\\\b=55\:ft[/tex]

Using law of Cosines

[tex]C=cos^{-1}\left(\cfrac{a^2+b^2-c^2}{2ab}\right)\\\\C=cos^{-1}\left(\cfrac{90^2+55^2-50^2}{2*90*55\right)}\\\\C=29.4^{o}[/tex]

~

Answer:

3 feet per yard

120 feet

________ = 40 yards

3 feet(which makes up one yard)

Answer:

The football field is 360 feet.

Step-by-step explanation:

Convertion: 1 yard = 3 feet

120 × 3

= 360 Feet

Answer:

it would d the last one

Step-by-step explanation:

Answer:

a function needs inputs and outputs so just fill in anything that doesn't directly cooralate to itself

Step-by-step explanation:

Answer:

x       y

1        1

1        2

2       2

3       2

Step-by-step explanation:

Answer:

emm 3/5 is 60% and 2/5 Is 40% .....

Answer:Time(pages) is the correct answer apex test.

Answer:

A. Time(Pages)

Step-by-step explanation:

Answer:

Every input has exactly one output

Step-by-step explanation:

The easiest definition of function is

If R is relation between (x,y) then

It simply means that every domain has an unique range

Answer:

Continuous

Step-by-step explanation:

Its continous because after each day you take the same  amount away and due to that it will be continous.