Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (â€""3 i) (18 5i)? (â€""3 i) (18 5i) 0 â€""3 (i 18) 5i (â€""3 18) (i 5i) â€""(3 â€"" i) (18 5i).

So I could only figure out question 8, 9, 10, and maybe 12.

Answer:

8.) x=29

9.) <b=32

10.) <z=106

?? 12.) 128 i think

Step-by-step explanation:

8.) 1st step is to take the angle on the outside and subtract it from 180 to get the inside missing angle. You then get 49. Then you add up all of the inner angles and equal it to 180.

2x+1+3x-15+49=180

After this you add up all of the similar terms.

5x+35=180

Now subtract 35 from both side to get

5x=145

Now divide each side by 5 and you should get 29

so x=29.

9.) First step is to add all of the angles together and equal to 180.

x+28+x-28+x=180

Next add all of the like terms together.

3x=180

Now divide each side by 3 to get x=60.

Don't stop there. Now fill in the x at <b.

(60)-28 which equals 32. so <b=32

10.) First step is to add all of the angles together and equal them to 180.

x-9+x-1+3x-20=180

Next add all of the like terms together.

5x-30=180

Now add 30 to both sides.

5x=210

now divide both sides by 5 to get x=42

Don't stop there.

Now fill in the answer for x in the <z spot.

3(42)-20

<z=106

12.) Okay so I am not 100% sure this is right but I tried it on desmos and it worked out.

Okay so first i did 3x-28+x=180

By using desmos, I got the answer x=52

Basically all it did was

4x-28=180

add 28 to both sides to get 4x=208

then we divide by 4 on both sides to get x=52

after that you fill in the x for the outer angle because that is what it is asking for.

you then get <QST=128

I know its not all of them but i hope this helps!!

Answer:

5/4

Step-by-step explanation:

tan A = opp/adj

tan A = 5/4

Answer:

[tex]tan(A)=\frac{5}{4}[/tex]

Step-by-step explanation:

[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]

[tex]tan(A)=\frac{5}{4}[/tex]

Answer: The answer is in the 1st image.

Explanation: The explanation is in the 2nd image.

Answer:

Step-by-step explanation:

The slope-intercept form:

Find the slope using given points:

The y-intercept is given with point (0, 2):

The line is:

[tex]\\ \sf{:}\Rrightarrow m=\dfrac{10-2}{2-0}=\dfrac{8}{2}=4[/tex]

Put in slope intercept form

[tex]\\ \sf{:}\Rrightarrow y=mx+b[/tex]

[tex]\\ \sf{:}\Rrightarrow 2=4(0)+b[/tex]

[tex]\\ \sf{:}\Rrightarrow 2=b[/tex]

Equation of the line

[tex]\\ \sf{:}\Rrightarrow y=4x+2[/tex]

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day!

We can solve this problem in a single step, that is using theory and a bit of algebra/elementary math.

We can start off by looking at the problem. We see that angles UOT and angle TOS both add up to 180 degrees

Since we know this, we can form the equation [tex]<TOS=180-128[/tex]

Therefore, we know that <TOS is 52 degrees.

We can test this by adding up 52 and 128 and we should get 180.

[tex]128+52=180?\\180=180[/tex]

Therefore, [tex]<TOS=52[/tex] degrees.

Answer: 61%

Step-by-step explanation:

Answer:

  5a^2 +2a

Step-by-step explanation:

Like terms are ones with the same exponent of x. They can be combined.

  3a^2 +2a +2a^2

  = (3a^2 +2a^2) +2a

  = (3+2)a^2 +2a

  = 5a^2 +2a

5a² + 2a

Step-by-step explanation:

[tex] ⇒ \: \rm 3 {a}^{2} + 2a + 2 {a}^{2} [/tex]

[tex]⇒ \: \rm(3 + 2) {a}^{2} + 2a[/tex]

[tex] \rm ⇒ \: 5 {a}^{2} + 2a[/tex]

Answer:

981.75

Step-by-step explanation:

The area of a circle is πr^2, but this a semi circle, so you need to half it.

Answer:

y=5/2x

Step-by-step explanation:

5x=2y

y=5/2x

you cant get ordered pairs from this directly you will only get an equation

The dimensions of the dilated image is 125 millimeters by 300 millimeters.

An image is dilated if the dimensions of the image is resized in a way that does not change the shape of the image. When an image is dilated, it is made larger.

The scale factor is 2.5. This means that the dimensions are 2.5 larger. Dimensions of the dilated image : 50 x 2.5 and 120 x 2.5 = 125 mm by 300 mm

To learn more about dilation, please check: https://brainly.com/question/3457976

Answer:

The sun is about 390 times farther than earth is from the moon

Step-by-step explanation:

It's kind of hard to understand the question but it's essentially asking how many times farther earth is from the sun than earth is from the Moon. Or basically measure the distance from the earth to the moon. Then show how much bigger the distance from the Earth to the Sun is by comparing it from the earth to the moon. To do this you divide the distance of moon by the distance of the sun to get how many times you could you could fit the distance between the Earth and The Moon from the Earth to the Sun.

Answer:

-2/3 is the correct answer

Step-by-step explanation:

hope this helps

Answer:

Number 2 is the answer.

Step-by-step explanation:

Rise/run

and the line is going down.

Answer:

answer is attached

Answer:

y = [tex]\frac{3}{2}[/tex]x-3 ; Graph C

2x + 6y = -6 ; Graph A

y = [tex]\frac{1}{2}[/tex]x + 2; Graph B

Step-by-step explanation:

-3x + 3y = 27

-x + y = 9

y = x + 9

so the y-intercept is 9 (y value when x =0).

and as point (0, 9)

the x-intercept is the x value when y = 0 :

0 = x + 9

x = -9

and as point (-9, 0)

Answer:

23 chips I believe

Step-by-step explanation:

10 add 13

Answer:

x=-3

Step-by-step explanation:

Answer:

e=19.6h

Step-by-step explanation:

If in 21 hours, she earns 411.60 dollars, then we need to find how much she makes in ONE hour.

21 h            1 hour

--------- = ------------------

411.60 dollars    xdollars

To get from 21 to 1, I would have to divide by 21, right? So, do the same for the denominators.

411.60 / 21= $19.6

Now, since we know the unit rate, we can make an equation!

e=19.6h

Answer:

C.) 630

Step-by-step explanation:

14x15=210

210x3=630

See attachment for answer and math work.

Answer:

Step-by-step explanation:

8➗2=4

since 1/2 is divinding

Answer:

  t[1] = 120; t[n] = t[n-1]/n, n ≥ 2

Step-by-step explanation:

The first two terms have a ratio of 1/2. The next two terms have a ratio of 1/3. The terms after that have a ratio of 1/4. It seems that the divisor increases as n increases. In fact, the n-th term is the previous one divided by n.

The first term is 120, so ...

  t[1] = 120

Using the above-described rule, ...

  t[n] = t[n-1]/n . . . . for n ≥ 2

Answer: (8, -2)

Step-by-step explanation:

the corner of the triangle which is Q when reflected would end up at (8, -2)

Answer:

(8, -2)

Step-by-step explanation:

Point Q is on (8,2).

The rule for a reflection over the x -axis is:

(x,y) -->(x,−y)

Notice how the sign of 'y' is changed. This means that point Q' would be (8, -2).

[tex]Q(8,2)\rightarrow Q'(8,-2)[/tex]

Hope this helps.

Answer:

10, 100. 70,700

Step-by-step explanation:

cuz qauntom of 11 77 divided by 11

hmmm, between the three options I would go with the second one since the number of 1-foot cubes equals exactly the volume of the fish tank.

But to truly calculate the volume

5 x 3 = 15

15 x 3 = 45

45 is the volume of the fish tank

Answer:

y-inctercept=4, x-intecept=7

Step-by-step explanation:

I did it with the standard to slope again!

[tex]7y=28-4x[/tex]

[tex]y=4-\frac{4}{7}x[/tex]

Now don't get confused here, 4 is the y incetecept, not -4.

When y=0, x=7

UPDATE:

To determine x and y intercept using graph, see where the line intersects at the x or y axis.

Answer:

b=(r/5)-a

Step-by-step explanation:

To solve, you do the mathematics.

r=5(b+a)

r=5b+5a

5b=r-5a

b=(r/5)-a

Answer:

option C can be used.

Step-by-step explanation:

hope this helps you.

Answer:

EFGH, HFGE, EGFH, HGFE

Step-by-step explanation: