Drag each real-world situation to the correct column to show whether it can be modeled by combining additive inverses to get 0. FOR ANYONE WHO WANTS POINTS I JUST WANT TO HELP

AM = MB

CM = common side

∠3 = ∠4

△AMC ≅ △BMC

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

CM ⊥ AB

∠3 = ∠4

We have to prove △AMC ≅ △BMC.

Now,

If CM ⊥ AB

AM = MB

Now,

AM = MB

CM = common side

∠3 = ∠4

△AMC ≅ △BMC

Thus,

AM = MB

CM = common side

∠3 = ∠4

△AMC ≅ △BMC

Learn more about triangles here:

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Answer:

[tex]5\sqrt{15}[/tex]

Step-by-step explanation:

[tex](\sqrt{3}+\sqrt{48})(\sqrt{20}-\sqrt{5})[/tex]

[tex]\textsf{Use} \quad \sqrt{a}\sqrt{b}=\sqrt{ab}[/tex]

[tex]\implies (\sqrt{3}+\sqrt{16 \cdot 3})(\sqrt{4 \cdot 5}-\sqrt{5})[/tex]

[tex]\implies (\sqrt{3}+\sqrt{16}\sqrt{3})(\sqrt{4}\sqrt{5}-\sqrt{5})[/tex]

[tex]\implies (\sqrt{3}+4\sqrt{3})(2\sqrt{5}-\sqrt{5})[/tex]

[tex]\implies (5\sqrt{3})(\sqrt{5})[/tex]

[tex]\implies 5\sqrt{3}\sqrt{5}[/tex]

[tex]\implies 5\sqrt{3 \cdot 5}[/tex]

[tex]\implies 5\sqrt{15}[/tex]

Answer:

5√15

Step-by-step explanation:

(√3 + √48)(√20 - √5)

step 1 simplify √48

(√3 + 4√3)(√20 - √5)

step 2 add √3 and 4√3

(5√3)(√20 - √5)

step 3 simplify √20

(5√3)(2√5 - √5)

step 4 subtract √5 from 2√5

(5√3)(√5)

step 5 multiply 5√3 and √5

= 5√15

explanation of each step

step 1 and 3

To simplify radicals you list the factors of the number under the sqaure root

For 48 we have 2 × 2 × 2 × 2 × 3

We then pair the factors off as powers of 2 if possible

We get 2² × 2² × 3 which can further be simplified as 4² × 3

We then list the number with the power on the outside of the radical and leave the numbers with no power on the inside to get 4√3.

This process is used to simplify √20 as well.

step 2 and 4

For these two steps we are adding and subtracting radicals  with the same radicand ( number inside of the square root. ) This is very simply as we keep the radicand the same and just perform the operation to the coeffecients ( number on the outside of the square root )

Eg. a√b + c√b = (a+c)√b or a√b - c√b = (a-c)√b

Hence, 4√3 + √3 = (4+1)√3 = 5√3

Step 5.

Finally we multiply the two radicals. This is very simply as we can use the rule to do so.

a√b × c√d = (a×c)√b×d

Hence, 5√3 × √5 = (5×1)√(3×5) = 5√15

Answer:

Jay has the fastest time because the he gained more meters per second.

Step-by-step explanation:

hope this helps if do mark brainllest pls!

Answer:

A) Jay is faster because he is running 5 m/s

Answer:

A and E

Step-by-step explanation:

they are both of them correct

Answer:

Good seats sold=80

Poor seats sold=130

Step-by-step explanation:

g + p = 210 seats.  Then p = 210 - g.

($5)g + ($2)p = $660.  Substite 210 - g for p,

($5)g + ($2)(210 - g) = $660

Simplify, 5g + 420 - 2g = 660 => 3g = 240  =>  g = 80

80 and 130

Answer:

Group 1: 2x, -4x, 25x

Group 2: -3y, y

Group 3: 10, -6, 100

Group 4: -6x^2, 5x^2

Step-by-step explanation:

In eac group they are the ones that can be combined together, you cannot combine numbers from diffrent groups because they are not like terms.

Answer:

Step-by-step explanation:

Formula for finding slope

Substituting the given points

Answer:

4311/9900 = 0.4354

530/900 = 0.58

674/990 = 0.689

4936/990 - 4.985

8099/ 990 = 8.180

Step-by-step explanation:

Just divide and it should give you the decmile version

Answer:

rounded answer (+) 171036

rounded answer (-) 169692

Step-by-step explanation:

Answer:

Step-by-step explanation:

So first you need to find to Constant of Proportionality and to do that you need to divide either 96 by 3 or 160 by 5. The answer you get is the first blank, then to find the second blank you take 14 and multiply it by the first answer.

Answer:

Factor and set each factor equal to zero.

g=2a

345

Step-by-step explanation:

Answer:

I think its 26 cents i'm not positive tho

Step-by-step explanation:

Answer:

I hope this will help

Answer:

50% or 1/2

Step-by-step explanation:

P(adult)=0.5

P(children)=0.5

0.5*40=20

20/40=2/4=1/2=0.5

0.5*100=50%

Answer:

Step-by-step explanation: The probability of rolling an even number is three out of six, or three-sixths. This fraction can be simplified as the numerator and denominator are both divisible by three.

Answer:

420

Step-by-step explanation:

Base is the bottom across

Height is in the middle so multiply them and you get 420 inches

Answer:

the mean is the closest of 2 or 3

Answer:

The answer is 3.5

The area decreases by 1155.52 square meters

What we must do is calculate the area before and after making the diameter cut.

The area of a circle is equal to:

a = pi * r ^ 2

now the diameter is equal to:

d = 2 * r

therefore r,

r = d / 2

before the cut would be

r = 96/2

r = 48

replacing in the area formula

a1 = 3.14 * 48 ^ 2

a1 = 7234.56 square meters.

after cutting the diameter decreases by 8, that is, 96 - 8 = 88, calculating the radius would be:

r = 88/2

r = 44

now calculating the new area would be:

a2 = 3.14 * 44 ^ 2

a2 = 6079.04 square meters.

now we calculate the difference

a1 - a2 = 7234.56 - 6079.04

= 1155.52 square meters

means that the area decreases by 1155.52 square meters

Answer:

11 soccer balls (rounded estimate; should be close to 11)

Step-by-step explanation:

Because you need to match the limit, you first have to convert in. to ft. That will get you at 2.3 (it is an non-stopping number, so I rounded to the tenths). 11 x 2.3 is  25.3. You can’t go lower, so you have to have that extra soccer ball. Hope this helps.

Answer: Austin college, 5, Barton college, 3.

Step-by-step explanation:

In the stem 7 there is no 70, but higher, so we just count the leaves on the stem 6; Austin's college contains 5 numbers, and Barton's contains 3.

Answer:

C

Step-by-step explanation:

Mean is all the numbers in the list added / the number of numbers

(Ex: 14, 13, 15, 17

Mean = (13 + 14 + 15 + 17) / (number of numbers in the list)

Mean = 59 / 4

Mean = 14.75)

Range = (The largest number - the smallest number)

Mode is the number that appears the most

The median is the central number of a data set. Arrange data points from smallest to largest and locate the central number

________________________________________________________

Mean of Ernie = 19

Mean of Lori = 17.6

A is False

Range of Ernie = 7

Range of Lori = 8

B is false

Median of Ernie = 18

Median of Lori = 18

C is true

Mode of Ernie = 17

Mode of Lori = 18

D is false

Answer:

y=-|x+1|+1

Step-by-step explanation:

im not too sure though