Multi-Step: <ABD and <BDE are supplementary. Find the measures of both angles.

28. m<ABD = (12x - 12)° , m<BDE = (3x + 48)°​

Answer:

The second one

Step-by-step explanation:

Answer:

x>-4.5

Step-by-step explanation:

- 11x + 32.5 < 82

Subtract 32.5 from each side

- 11x + 32.5-32.5 < 82-32.5

- 11x  < 49.5

Divide each side by -11. remembering to flip the inequality since we are dividing by a negative

-11x/-11 > 49.5/-11

x>-4.5

Answer:

9/10 of a dollar

Step-by-step explanation:

50/100=5/10,

so 5/10+4/10=9/10

Together they will have 9/10 part a dollar.

What is proportion ?

A proportion is an equation based on the equality of two ratios.

Here, Carmen has 4/10 of a dollar and Try says he has 50/100 part of a dollar,  now to calculate the fraction of dollar together they will be having will be the sum of Carmen and Troy part of dollar :

[tex]\begin{aligned}\frac{4}{10}+\frac{50}{100}&=\frac{4}{10}+\frac{5}{10}\\&=\frac{9}{10}\end{aligned}[/tex]

Therefore, together they will have 9/10 part a dollar.

Read more about ratio at:

https://brainly.in/question/1239848

#SPJ2

Answer:

[tex] \boxed{ \bold{ \sf{ width \: of \: a \: rectangle = 5.5 \: inches}}}[/tex]

[tex] \boxed{ \bold{ \sf{length \: of \: a \: rectangle =8.5 \ \: \: inches}}}[/tex]

Step-by-step explanation:

Let the width of a rectangle be 'w'

Length of a rectangle = w + 3

Perimeter of a rectangle = 28 inches

To find : dimensions of the rectangle ( length and width )

Finding the width of a rectangle ( w )

[tex] \boxed{ \sf{perimeter \: of \: a \: rectangle = 2(l + w)}}[/tex]

[tex] \dashrightarrow{ \sf{28 = 2(w + 3 + w)}}[/tex]

[tex] \dashrightarrow{ \sf{28 = 2(2w + 3)}}[/tex]

[tex] \dashrightarrow{ \sf{28 = 4w + 6}}[/tex]

[tex] \dashrightarrow{ \sf{4w + 6 = 28}}[/tex]

[tex] \dashrightarrow{ \sf{4w = 28 - 6}}[/tex]

[tex] \dashrightarrow{ \sf{4w = 22}}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{4w}{4} = \frac{22}{4} }}[/tex]

[tex] \dashrightarrow{ \sf{w = 5.5 \: inches}}[/tex]

Width of a rectangle = 5.5 inches

Now, replacing / substituting the value of w in order to find the length of a rectangle

[tex] \sf{ length = 3 + w}[/tex]

[tex] \dashrightarrow{ \sf{length = 3 + 5.5}}[/tex]

[tex] \dashrightarrow{ \sf{length = 8.5 \: \: inches}}[/tex]

Length of a rectangle = 8.5 inches

Hope I helped!

Best regards! :D

Answer: 10

Step-by-step explanation:

Cost of any plan = Joining fee + (Per month fee ) × (number of months )

Let x be the number of months for which the cost of each plan is equal.

Cost of plan A =  130 + 12 x

Cost of plan B = 0+ 25x = 25x

According to the question,

[tex]25x = 130+12x\\\\\Rightarrow 25x-12x=130\\\\\Rightarrow\ 13x=130\\\\\Rightarrow\ x=\dfrac{130}{13}\\\\\Rightarrow\ x=10[/tex]

Hence, the number of months for which the cost of each plan is equal is 10.

Answer: Lin must save at least $28 a week

Step-by-step explanation:

I got my answer by subtracting the already earned $212 from the neccessary $800 and that got me $588. Then divided the $588 by the 21 weeks from her goal to get my answer of at leaast $28 a week.

Answer:

y=-3/4x+3

Step-by-step explanation:

3x+4y=12

Subtract 3x from both sides:4y=-3x+12

Divide 4 on both sides... y=-3/4x+3

and we got our answer.

Answer:

C. 0.052

Step-by-step explanation:

A and D are negative.

That means that they come before 0 and are therefore smaller than 0.

We do not know the value of B.

C is a positive number, meaning it comes after 0 and is therefore greater than 0.

Answer:

c>5

Step-by-step explanation:

Max has more than 5 carrots. Therefore, the number of carrots he has (c) is greater than 5.

Answer:

i think its repeating decimal pro

Step-by-step explanation:

Answer:

A=a2/ a squared

Answer:

[tex]f(-7)=12[/tex]

Step-by-step explanation:

[tex]f(x)=5-x\\\\\text{Substitute 'x' for '-7' and solve.}\\\\f(-7)=5-(-7)\\\\f(-7)=5+7\\\\\boxed{f(-7)=12}[/tex]

Hope this helps.

Answer:

Step 1: Write down the percent divided by 100 like this:  [tex]\frac{percent}{100}[/tex]

Step 2: If the percent is not a whole number, then multiply both top and bottom by 10 for every number after the decimal point. (For example, if there is one number after the decimal, then use 10, if there are two then use 100, etc.)

Step 3: Simplify (or reduce) the fraction

Step-by-step explanation:

Example:

Step 1: Write down:

[tex]\frac{11}{100}[/tex]

Step 2: The percent is a whole number, go straight to step 3.

Step 3: The fraction cannot be simplified further.

Answer:

To convert the percent into a fraction, divide it by 100 and remove the % symbol. Then, multiply the fraction to its lowest term.

For example:

[tex] \sf{12 \: \% \: = \frac{12}{100} = \frac{3}{25} } \: [/tex]

[tex] \sf{65\% \: = \frac{65}{100} = \frac{13}{20} }[/tex]

[tex] \underline{ \sf{some \: facts \: about \: percentage}}[/tex]

[tex] \star[/tex] Percentage are fractions whose denominators are 100

[tex] \star[/tex] A fraction can be expressed as a percentage by converting it into an equivalent fraction with 100 as a denominator.

[tex] \star [/tex] We can convert a fraction to a percent by multiplying it by 100 and the % symbol.

[tex] \star[/tex] A fraction with denominator 100 can be written as a percentage by writing the numerator with the % symbol.

[tex] \star[/tex] To convert a percentage to a decimal , divide it with 100 i.e move the decimal the places to the left.

[tex] \star[/tex] To convert a percentage to a fraction , divide it by 100 and reduce it to the lowest term.

Hope I helped!

Best regards! :D

Answer:

6 meters

Step-by-step explanation:

We know that the perimeter of a rectangle is the sum of the length and height doubled, therefore, we can write the following equation:

28 = 2 * (8 + h) where h = height

14 = 8 + h

h = 6 meters

Answer:

3)

Step-by-step explanation:

X is the smaller number and when we add 5 to the smaller number we get the greater number therefore summing up both the smaller and greater number gives a total of 77 as the question gives guidelines

Answer:

The competitor will run 48,225.81 copies.

Step-by-step explanation:

Brand x copier run 59,800 copies between services

Brand X copiers run 24% longer between service calls than its competitor.

Let x = copies run by the competitor between services

Number of copies the competitor will run is

24% of x + x = 59,800

0.24x + x = 59,800

1.24x = 59,800

x= 59,800 / 1.24

x = 48,225.81

Therefore, the competitor will run 48,225.81 copies.

Answer:

  x is in (0, 17)

Step-by-step explanation:

The compound inequality is ...

  0 < x < 17

The "equal to" case is not included on either end, so round brackets are used:

  (0, 17)

Answer:  A.

The article published in the journal is more credible because it is a newer issue.

Mark is writing a paper about digital cameras. He thinks that in the future most people will use only the cameras in their phones.He asks his friend’s older brother, Sam. Sam knows a lot about digital cameras. Sam gives him plenty of information about cameras. Sam agrees with Mark when he says that in the future most photos will be taken with camera phones. He also gives Mark a book containing advertisements of cameras from the years 2000 to 2010.

Later, Mark visits the local library. He looks up the latest issues of magazines on cameras and photography. Mark goes through many magazines. Finally, he finds an article in a photography journal that is well-known, and was published by a famous camera company. The article was written in 2015 by a popular photographer.

Which of these sources would give the best information?

A.

The article published in the journal is more credible because it is a newer issue.

B.

The information supplied by Sam is credible because he knows a lot about cameras.

C.

The magazines are more credible because they are the latest issues.

D.

The book with advertisements is more credible because it has more information.

Step-by-step explanation:

Answer:

=24x

Step-by-step explanation:

X×(-6)×(-4)=24

two negatives cancel out and turn the 24 to a positive number

6×4=24

Answer:

a = 2, b = 1 and c = 10

Step-by-step explanation:

The given equation is 2x² + x + 10 = 0 ...(1)

The general form of a quadratic equation is given by :

ax²+bx+c=0 ...(2)

We need to find the values of a,b and c in the given equation.

Comparing equation (1) and (2),

a = 2, b = 1 and c = 10

Answer:

24

Step-by-step explanation:

4x(9/3)x2

9 divide by 3 is equals to 3, so 4x3=12 and 12x2= 24

Answer:

The middle value of the data set is called/labled the median

Step-by-step explanation:

if there is a odd (1,3,5...)number of number in the data set circle the middle two and add them and divide by two and that will be your median

hope it helps:)

Also, just look at the number in the middle of the data set to figure out the median

Answer:

Any place-value position is 10 times greater than the position to its right and / of the position to its left.

Step-by-step explanation:

5m³ + 2m - 7m³ - 8m

= -2m³ -6m

= -2m(m² + 3)

Answer:

The degree of the given expression is 2

Step-by-step explanation:

the degree of equation is 2

hope it is helpful to you

Answer:

c= 40

Step-by-step explanation:

a^2 + b^2 = c^2

24^2 + 32^2 = c^2

576+ 1024 = 1600

you have to square your number once you get the sum.

1600 squared is 40

c=40

I hope this helped

Answer:

| -2 1/5 - 4.35|

Step-by-step explanation:

Take the absolute value of the difference of the two number

| -2 1/5 - 4.35|

Answer:

x = c/3 - k/3

Step-by-step explanation:

Solve for x:

k + 3 x = c

Subtract k from both sides:

3 x = c - k

Divide both sides by 3:

Answer: x = c/3 - k/3