In each figure below find m∠1 and m∠2, if a||b. Show your work with statements.

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Answer:

Step-by-step explanation:

2+4(6-2x)=8

2+24-8x=8

26-8x=8

26-8=8x

18/8=x

2.25=x

substitute the value of x

2+4(6-2x)

2+4(6-2*2.25)

2+6

8

therefore 8=8 so it is true

Answer:

Did this about a year ago but you should try math-way it gives the correct answers, and if you by any chance are doing ap ex go to those online tutors. You decide if it's camera on or off. Sorry I couldn't help more, it's been a while.

Answer:

$8,250

Step-by-step explanation:

I = prt

I = ($15,000)(0.055)(10)

I = $8,250

The interest on the loan is $8250.00

The formula for determining simple interest is : loan amount x time x interest rate

Loan is the amount of money that Cindy borrowed. It is $15,000

interest rate = 5.5%

Time is the length of period of the loan. This is 10 years

$15,000 X 0.055x 10 = $8250

To learn more about simple interest, please check: https://brainly.com/question/9352088?referrer=searchResults

Answer: The smallest integer value of x in the solution is 1.

Step-by-step explanation:

The given inequality: [tex]-3x+10\leq5[/tex]

To solve the inequality, we first subtract 10 from both sides

[tex]-3x+10-10\leq5-10\\\\\Rightarrow\ -3x\leq-5[/tex]

Multiply negative sign on both sides ,we get

[tex]3x\geq5[/tex]

Divide both sides by 3, we get

[tex]x\geq\frac{5}{3}[/tex]

i.e. [tex]x\geq 1.6666666667\\[/tex]

[tex]x\geq1[/tex]

Hence, the smallest integer value of x in the solution is 1.

9514 1404 393

Answer:

  7

Step-by-step explanation:

The number of red apples (r) in terms of the number of days (d) is ...

  r = 20 -2d

The number of yellow apples (y) in terms of the number of days (d) is ...

  y = 28 -3d

Using the first equation to write and expression for d, we can substitute into the second equation.

  r -20 = -2d

  (20 -r)/2 = d . . . . from the first equation

Then ...

  y = 28 -3(20 -r)/2 = 28 -30 +3/2r = (3/2)r -2

For 6 red apples left, the number of yellow apples left is ...

  y = (3/2)(6) -2 = 7

7 yellow apples will be left when 6 red apples are left.

Answer:

It takes 4.75 hours(4 hours and 45 minutes) to travel 247 miles.

Step-by-step explanation:

This question is solved by rates, using a rule of three.

52 miles in one hour. How many hours for 247 miles?

1 hour - 52 miles

x hours - 247 miles

Applying cross multiplication:

[tex]52x = 247[/tex]

[tex]x = \frac{247}{52}[/tex]

[tex]x = 4.75[/tex]

It takes 4.75 hours = 4 hours and 3/4*60 = 45 minutes to travel 247 miles.

Answer:

B(3/4*1/2)

Step-by-step explanation:

So lets see, we have:

3/4 divded by 2

Any whole number, such as 2, will have a denominator like this:

2/1

So we can rewrite this as:

3/4 divided by 2/1

Now, we can actually rewrite this division as multipication. To do this, you must flip the dividing fraction, which was 2/1.

So now it is 1.2:

3/4*1/2

Looking at the anwers, this should be the seocnd one down.

Hope this helps!

Sn = a(1-r^n)/(1-r)

Sn= 8(1-1/4096)/3= 2.67

Answer:

188.57 cm^3

Step-by-step explanation:

I know i'm big brain

Answer:

Solid A

Step-by-step explanation:

Answer:

There are 12 stools in the room

Answer:

Step-by-step explanation:

using pythagoras theorem formula

a^2+b^2=c^2

19^2+52^2=c^2

361+2704=c^2

[tex]\sqrt{3065}[/tex]=c

55.36=c

55=c

Answer:

37.5

Step-by-step explanation

your answer is 37.5

Answer:

70.5º

Step-by-step explanation:

cosB = adj/hyp

cosB = 16/48

cosB = 1/3

B = arccos 1/3

Use calculator

∠B = 70.5º

If two variables (x and y) are directly proportional to each other, their relationship can be described as y=kx, where k is how they change relative to one another

Answer:

-$7

Step-by-step explanation:

20 - 15 = 5

5 + 5 = 10

10 - 10 = 0

0 - 7 = -7

Answer:

3:1

Step-by-step explanation:

If you look at the sides, they all have the same factor of three, and dividing by three gets you to the smaller rectangular prism.

sin(x+pi)=-sin(x)=sin(-x)=cos(pi/2)

cos (x+pi)=-cos(x)

So according to the question:

cos(pi/2 +x)=cos(x)

Using the solution of cos, obtain:

(pi/2) + x = 2pi +- (x)

case#1: (pi/2) + x = 2pi + (x)

But here, the value of x is canceled, just

case#2: (pi/2) + x = 2pi - (x)

answer------------>>>>>>>>> x=pi-pi/4

Any equation of the form,

⇒ y = 3x + b,

where b is a constant, represents a line parallel to the line 3x - y = 6.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Now, To find the equation of a line that is parallel to 3x - y = 6, we need to find the slope of the line 3x - y = 6.

Hence, we can rearrange the equation into slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

3x - y = 6

-y = -3x + 6

y = 3x - 6

Therefore, the slope of the line 3x - y = 6 is,

m = 3.

Since we want a line that is parallel to this line, the slope of the new line must also be 3.

Thus, Any equation of the form,

⇒ y = 3x + b,

where b is a constant, represents a line parallel to the line 3x - y = 6.

Learn more about the equation of line visit:

https://brainly.com/question/18831322

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Answer:

18.28 sq inches

Step-by-step explanation:

the area of the composite fig. =

(½×3.14×2²)+(½×4×6)

= 6.28 + 12 = 18.28

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Answer:

  0.33 litres

Step-by-step explanation:

If a mug can hold a volume of m litres, then a bowl can hold a volume of m+0.07 litres. The total volume held by the given containers is ...

  3(m +0.07) +4m = 2.52

  7m +0.21 = 2.52 . . . . . . . . simplify

  7m = 2.31 . . . . . . . . . . . . . subtract 0.21

  m = 0.33 . . . . . . . . . . . . . divide by 7

Each mug can hold 0.33 litres.

Answer:

6x + 27y = -6

Step-by-step explanation:

i looked it up sooo sorry if its wrong lol

Answer:

From -6 to positive 1 the length is 7

Step-by-step explanation:

you still add'em.

Answer:

length of BD is 18

just count on the number line and ×2 because it is counting on by 2

Answer:

A≈201.06cm²

Step-by-step explanation:

Answer:

k500: k300

Step-by-step explanation:

5 parts :3 parts

there are 5+3=8 parts in total

800 divide by 8 parts = 100 in each part

k800 is 5:3  is k500: k300

6x-5

Step-by-step explanation:

4/5÷4/10

12×2 -64×-11,×+1

×3-×2+7×

___________

6x-5 answer