why do terms have to be like terms?

Answer:

The angle across the given measurements are the same. So there will be a 27 degrees across from the other 27 degrees. The straight line is 180 degrees, so do 180-27=153. The means the other 2 angles are 153 degrees. The other one is the same, but with different measurements. 180-35=145

Step-by-step explanation:

Let the angle adjacent to ∠27° be x .

[tex]∠x + 27 = 180° \: ( \: linear \: pair \: )[/tex]

[tex]x = 180 - 27 \\ ∠x = 153°[/tex]

Let the angle opposite to ∠27° be y .

[tex]∠y = ∠27° \: ( \: vertically \: opposite \: angles \: )[/tex]

Let the angle adjacent to ∠y ( 27°) be w .

[tex]w + ∠27° = 180° \: ( \: linear \: pair \: ) \\ w = 180 - 27 \\ ∠w = 153°[/tex]

Let the angle opposite to ∠35° be p .

[tex]∠p = ∠35° \: ( \: vertically \: opposite \: angles \: )[/tex]

Let the angle adjacent to ∠35° be a .

[tex]∠a + 35° =180 ° \: ( linear \: pair ) \\ a = 180 - 35 \\ ∠a = 145°[/tex]

Let the angle opposite to ∠35° be t .

[tex]∠t = 35° \: ( \: vertically \: opposite \: angles \: )[/tex]

Let the angle opposite to ∠145° be o .

[tex]∠o \: = 145° \: ( \: vertically \: opposite \: angles \: )[/tex]

Answer:

2:5

Step-by-step explanation:

beacuse ratio is 8/20 which is equal to AP/PB= 2/5

Answer:

2.5

Step-by-step explanation:

AP is 8

PB is 20 thus

AP

PB is equal to8/20 which is 2.5

Answer:

Step-by-step explanation:

area of shaded region=area of whole region-area of white space

=9×13-5×[13-(3+2)]

=117-5×8

=117-40

=77 m²

Answer:

Model is

b = 115m + 65

The slope represents the amount of balance offset per month

Step-by-step explanation:

Here, we want to model an equation.

The equation to model will be in the form;

y = mx + c

we have the following points to consider

The points are in the form;

(number of months, balance)

(m , b)

So the points we have are;

(4,755) and (5,640)

So the slope will be ;

(y2 -y1)/(x2-x1) = (755-640)/(5-4) = 115

So the equation will be;

b = am + c

where a is the slope and c is the y intercept

we already have the slope

so equation becomes;

b = 115m + c

let’s get the y-intercept

we can get the y-intercept by any of the points;

That would be; let’s use (5,640)

640 = 5(115) + c

640 = 575 + c

c = 640 -575

c = 65

So the equation of the model is;

b = 115m + 65

The slope represents the balance per month

Answer:

x = 109

Step-by-step explanation:

m4 =48

m =48/4

m = 12

now

m28 = 3x+9

12*28 = 3x + 9

336-9 = 3x

327/3 = x

109 = x

Answer

Step-by-step explanation:

Answer:

x = -5

Step-by-step explanation:

8x - 10 = 4x - 30

Subtract 4x from each side

8x-4x - 10 = 4x-4x - 30

4x -10 = -30

Add 10 to each side

4x-10+10 = -30+10

4x= -20

Divide by 4

4x/4 = -20/4

x = -5

Answer:

3 x10^4

Step-by-step explanation:

Answer:

Its a very complex solution but it x

=

0

,

3

√

14

2

Step-by-step explanation:

Answer: 13x-1

Step-by-step explanation:

Answer: A! x=-1 2/5, y= 1 3/5

Step-by-step explanation:

First put -3x+3y=9 into slope-intercept form(y=mx+b)

3y=-3x+9

then solve for y

y=-1x+3

enter your y-intercept into the equation below..

2x-7(-1x+3)=-14

2x+7x-21=-14

2x+7x=-14+21(when changing sides it changes signs that's why 21 is now a positive)

2x-7x=7

-5x=7 divide -5 into 7

7/5

x=-1 and 2/5

then input x back into the first equation

-3(7/-5)+3y=9

21/5+3y=9

3y=9-21/5

3y=24/5

divide 3 into 24/5

=24/15=1 and 9/15 reduce it anddd

y=1 and 3/5

Answer:

-2.5

Step-by-step explanation:

Slope is y over x, so in this case -15/6. Do -15/6 to get -2.6

Answer:

Step-by-step explanation:

Answer:

X=1/2, -2/5

Step-by-step explanation:

Solve the equation for X by finding a, b, and c of the quadratic then applying the quadratic formula.

Answer:

:) :) :) :) :) :) :0

Step-by-step explanation:

2/5 and 1/2

Answer:

The partial products are:

18 + 1.2 + 0.42

The sum: 19.62

Step-by-step explanation:

This has to do with understanding what place value is.

3 ones = 3 * 1 = 3

6 * 3 ones = 18

2 tenths = [tex] 2 * \frac{1}{10} = 2*0.1 = 0.2 [/tex]

6 * 2 tenths = 1.2

7 hundredths = [tex] 7 * \frac{1}{100} = 7*0.01 = 0.07 [/tex]

6 * 7 hundredths = 0.42

The partial products are:

18 + 1.2 + 0.42

The sum = 19.62

Answer:

Answer:

The partial products are:

18 + 1.2 + 0.42

The sum: 19.62

Step-by-step explanation:

This has to do with understanding what place value is.

3 ones = 3 * 1 = 3

6 * 3 ones = 18

Step-by-step explanation:

Answer:

9(2p-18) and 2(9p-18)

Step-by-step explanation:

The equivalent expression to the expression  18p - 36 are,

9(2p - 4p) and 2(9p - 18).

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression 18p - 36.

We know the distributive property states a(b + c) = ab + ac.

Now, The factors of 18 are, 1, 2, 3, 6, 9, 18.

Therefore,

18p - 36 can be written as,

9(2p - 4p) and 2(9p - 18).

learn more about numerical expressions here :

https://brainly.com/question/29199574

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Answer:

200 kilometers

Step-by-step explanation:

since the driver goes 50 kilometers at a constant rate for 4 hours, you multiply it by 4, and you get 200.

An easy way to multiply these numbers is to multiply the 4 and 5, which equals 20, then add the extra zero from the 50.

Step-by-step explanation:

y = -5/6x - 4

(0,-4) is the y intercept

the slope is -5/6, it descends 5 and goes 6 horizontally.

Answer:

b

Step-by-step explanation:

Answer:

71

Step-by-step explanation:

6285 ÷ 89 = 71

The graph of the function g(x) = 3/4 f(x) on the same coordinate plane as f(x) = x is attached below.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

To graph the function g(x) = 3/4 f(x) on the same coordinate plane as f(x) = x, we need to perform the transformation of stretching the graph of f(x) by a factor of 3/4.

Determine the scale factor for the transformation. In this case, the scale factor is 3/4.

Starting at the x-intercepts and y-intercepts (if there are any), plot the points on the coordinate plane using the scale factor to stretch or shrink the graph as needed.

For example, the point (0,0) on the graph of f(x) becomes the point (0,0) on the graph of g(x). The point (1,1) on the graph of f(x) becomes the point (1, 3/4) on the graph of g(x).

Connect the plotted points with a smooth curve to obtain the graph of g(x).

Learn more about graph here:

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Answer:

-1/2

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

Answer:

k = -7

Step-by-step explanation:

Step 1: Write equation

-k/5 = 7/5

Step 2: Solve for k

Step 3: Check

Plug in k to verify it's a solution.

-(-7)/5 = 7/5

7/5 = 7/5

Answer:

i think u forgot to add the picture bro?

Step-by-step explanation:

Answer:

they all add one

and...

the position is multiplied by different numbers