Given that BD is an angle bisector

Solve for m

Answer:

m∠ACD = 50°

m∠BDC = 160°

Step-by-step explanation:

From the picture attached,

Two parallel lines AC and BD are intersected by a transversal line.

Angles formed ∠ACD and ∠BDC are the consecutive angles.

By the theorem of consecutive interior angles,

m∠ACD + m∠BDC = 180°

(5x + 25)° + (25x + 35)° = 180°

30x + 60 = 180

30x = 180 - 60

30x = 150

x = 5

Therefore, m∠ACD = (5x + 25)

                                 = 5(5) + 25

                                 = 50°

And m∠BDC = (25x + 35)°

                      = 25(5) + 35

                      = 125 + 35

                      = 160°

Answer:

9

Step-by-step explanation:

The cardinality of a set - the number of terms in that set.

in the set {2, 4, 6, ... 18}

We can assume that the numbers follow a pattern: in this case, the pattern is multiples of 2 till 18 starting with 2.

so that means that the full set is

{2, 4, 6, 8, 10, 12, 14, 16, 18}

There are 9 numbers in that set;

so the cardinality of the set is 9

Answer:

8

Step-by-step explanation:

You would round because 7.6 is over half

Answer:

student A types faster

Step-by-step explanation: if student B can only type one word in 0.05 minutes then he would only be typing 20 words per minute, compared to the 32 student A can type.

Answer: subtraction property of equality

Step-by-step explanation:

Answer:

I think i don't really know its been awhile for me.

Step-by-step explanation:

But i think you do 2 x 10 and what ever you get from that you multiply by 5 and what get from that you divide by 24.

I may not be right.

So please don't hate i tried.

Answer:

34 days 4 hours and 40 minutes

Step-by-step explanation:

First convert 3,962km to miles.

There are 1.609km in 1 mile so:

3,962km/1.609km = 2461.87 miles ≈ 2,462mi

If your walking speed is 3mph then divide the distance by 3.

2462/3 = 820.67hours.

Let's figure out the number of days, hours, minutes.

820.67hr/24 = 34.1944 days since we have a fraction of a day, let's figure out hours.

.1944 x 24 = 4.6666  So 4 hours and some minutes, let's figure out the minutes.

.66666 x 60 = 40

At 3mph it will take you 34 days 4 hours and 40 minutes to walk from New York to Los Angeles if you take no breaks and don't sleep.

Answer:

f•g(x) = f(x)•g(x)

f•g(x) = (2x-1) (x²-2x+1)

= 2x³-4x²+2x-x²+2x-1

= 2x³-5x²+4x-1

Answer:

i got

[tex] - \frac{11}{12} [/tex]

I do not know if I'm right please tell me me if I'm wrong

Answer:

although it is true that could be -(1/4)^4

if you multiply the answer can also be -1/256

Heya!!

your answer is!

-1/256

$32.89

15% tip

Is $4.94

Making the total of the bill

$37.83

Answer:

Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.

Step-by-step explanation:

Given four pair of events:

1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards

2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards

3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards

4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards

To find:

Which of the pairs is mutually exclusive?

Solution:

First of all, let us have a look at the definition of mutually exclusive events.

Mutually exclusive events do not have any case in common.

In other words, two events are known as mutually exclusive when both the events can not occur at the same time.

Now, let us have a look at the given options one by one:

1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.

We know that there is only one ace of spades in a standard deck.

Therefore, the two events can not occur one after the other, so these are mutually exclusive events.

2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards.

The two events can occur one after the other, so these are not mutually exclusive.

3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards.

Separate cards are drawn one after the other, so not mutually exclusive.

4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards.

Separate cards are drawn one after the other, so not mutually exclusive.

Answer:

umm i think so

Step-by-step explanation:

Your answer is 65

Step-by-step explanation:

You need to divide 585 by 9 the answer is 65

Answer:

[tex]\boxed{1500cm^{2} }[/tex]

Step-by-step explanation:

Area = Length × Width

→ Identify the length and width

Length = 5 and Width = 3

→ Substitute in the values

Area = 5 dm × 3 dm

→ Convert into cm

Area = 50 cm × 30 cm

→ Simplify

1500 cm²

Answer:

they aren't the same ratio

Step-by-step explanation:

ratio of 5:10 then 9:15

5/10 and 9/15

and that is simplified

2.5/5 and 3/5 so they aren't the same ratio

whatever how much the money is for one day on the object just multiply the money by the days it's rented out and add together the snowboard total and the boots total

Answer:

358

Step-by-step explanation:

Answer: 4096

Step-by-step explanation: 2^3=8, 8^4=4096.

Answer:

4096

Step-by-step explanation:

2 cubed=8

8^4=4096

Answer:

y=2/3x+2

Step-by-step explanation:

Answer:

Weight in 1982

Step-by-step explanation:

Given parameters:

 Weight of penny in 1982 = 0.11 ounce

  Weight of penny in 2013 = 0.09 ounce

Unknown:

Which penny weighs more = ?

Solution:

  Simply, we are looking for which number is higher,

     0.11 or 0.09

Let us find the differences;

   if x is greater than y then,   x - y must be positive

If 0.11 is greater then 0.09, then 0.11 - 0.09 must be positive

                                                      = 0.02, it is positive

The weight of a penny in 1982 is greater than that in 2013

Answer:

c. x² + 2x -5 = 0

Step-by-step explanation:

 Given expression;

         [tex]\frac{5}{x}[/tex]   = [tex]\frac{x + 2}{3}[/tex]  

Unknown:

 The quadratic equation equivalent to this expression:

Solution:

  The common denominator here is 3x;

    So, multiply both sides by 3x

          [tex]\frac{5}{x}[/tex] x 3x  =  [tex]\frac{x + 2}{3} x[/tex] 3x

          5 x 3 = (x + 2)x

           15 = x² + 2x

     So;

          x² + 2x - 15

The quadratic expression is x² + 2x - 15

Answer:

= 2x + 1

Step-by-step explanation:

9514 1404 393

Answer:

  274 mL

Step-by-step explanation:

Often medical solutions expressed as a percentage are not really a percentage as such. A percentage is the ratio of two quantities with the same units.

Here, the context given by the problem suggests the "25%" solution is really (25 g)/(100 mL). That is, the units are grams and milliliters--different units.

With that assumption, we want to find the volume (v) of solution needed to deliver 6 g of medicine. An appropriate proportion* is ...

  v/(6 g) = (100 mL)/(25 g)

  v = (6 g)(100 mL)/(25 g) = 24 mL

So, the total volume of the infusion is ...

  250 mL +24 mL = 274 mL

_____

* The concentration is given in terms of g/mL, but we have used a proportion that is mL/g. The reason for that is we want the variable to be in the numerator of the ratio. The variable here represents volume, so we have written the proportion with volumes in the numerators.

Having the variable in the numerator means the equation can be solved in one step--by multiplying by its denominator.

9514 1404 393

Answer:

  62.6 seconds

Step-by-step explanation:

We can use the 2-point form of the equation for a line to write equations for the heights of the balloons.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

__

For Bill's balloon, the two given points are ...

  (t, h) = (-5, 1032) and (5, 985)

Then the equation is ...

  h = (985 -1032)/(5 -(-5))(t -(-5)) +1032

  h = -47/10(t +5) +1032

__

For Jerry's balloon, the two given points are ...

  (t, h) = (0, 0) and (5, 57)

Then the equation is ...

  h = (57-0)/(5-0)(t -0) +0

  h = (57/5)t

__

The heights are equal when ...

  -47/10(t +5) +1032 = (57/5)t

  1008.5 = t(57/5 +47/10) = 16.1t

Then the time until heights are the same is ...

  t = 1008.5/16.1 ≈ 62.6 . . . seconds

Answer:

see below

Step-by-step explanation:

3x+9y = 27.9

To find the x intercept , let y=0

3x +0 = 27.9

Divide each side by 3

3x/3 = 27.9/3

x = 9.3

The x intercept is 9.3

To find the y intercept , let x=0

0+9y = 27.9

Divide each side by p

9y/9= 27.9/9

y = 3.1

The y intercept is 3.1

STEP BY STEP EXPLANATION:

drops

Answer:

(-$11)x12

Step-by-step explanation:

hope this helps if its right can i get brainliest