An angle measures 50° more than the measure of a supplementary angle. What is the measure of each angle?

Answer:

P = 124 inches

Step-by-step explanation:

We will need to use the Pythagorean theorem to find the bottom of the rectangle.

a^2 + b^2 = c^2

14^2 + b^2 = 50^2

196 + b^2 = 2500

Subtract 196 from each side

b^2 = 2500 -196

b^2 =2304

Take the square root of each side

sqrt(b^2) =sqrt(2304)

b=48

The perimeter is equal to

P =2(l+w)

P =2(14+48)

  = 2(62)

   = 124

Answer:

y=-6

Step-by-step explanation:

y=-4(2)+2

y=-8+2

y=-6

(2,-6)

Answer:

y = - 6

Step-by-step explanation: You have to substitute 2 for x in order for you to get your solution.

y = - 4x + 2

y = - 4(2) + 2

y = - 8 + 2

y = - 6

Hope this helps you!!! :)

Answer:

B

Step-by-step explanation:

i took a test with this question

We want to see which one of the given relations is a function.

The correct options are:

B and C.

To see this, we first need to define what a function is.

A function is a relationship that maps elements from one set, the domain, into another set, the range.

Such that each element in the domain can be mapped into only one element on the range.

The standard notation to these relations is (x, y).

This means that x, from the domain, is being mapped into y, from the range.

Now let's analyze the given options:

A) {3,7,-7,9}

This is just a set of values, no relation there, so this is not a function.

B)  { (3,9), (7,-4), (-7,7) }

Here we have a relation, and we can see that each element on the domain is being mapped into only one element from the range, so this is a function.

C)  { (3,9), (7,-4), (-7,7) }

This is the exact same set as the one on B.

D)  { (3,9), (7,-4), (7,6), (-7,7) }

Here we can see that the element x = 7 is mapped into two different values, so this is not a function.

Then the options that represent functions are B and C.

If you want to learn more, you can read:

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Answer:

If you round the answer it is 2 miles

Step-by-step explanation:

You multiply the fractions in fraction or decimal form

With decimal form you get 1.995, rounded up to 2

Answer:

2 miles

Step-by-step explanation:

hope this helps

Answer:

   = 11.4%

Step-by-step explanation:

Percent error = (target - actual)/target * 100

target = 2500

actual = 2215

Lets substitute in

Percent error = (2500-2215)/2500 * 100

                        = 285/2500*100

                       =.114 * 100

                      = 11.4%

Answer:

11.4%

Step-by-step explanation:

Answer:

Answer D. "ASA"

Step-by-step explanation:

Answer:

ASA

Step-by-step explanation:

When looking at the postulates, we need to know what they stand for

SSS, is side side side

SAS is Side angle side

AAS is angle angle side

ASA is Angle side angle  (the side is between the angles)

In the picture we know 2 angles and the included side

so we will use ASA

Answer:it’s B

Step-by-step explanation:

Answer:3/5

Step-by-step explanation:

First we change 500% to fractions

Changing percentage to fraction is dividing the number by 100

500% = 500/100

Putting this we get 3/(500/100)

Then when a number is being divided by a fraction, to get the answer, we multiply the number by the inverse of the fraction

3/(500/100) = 3 x 100/500 = 300/500 = 3/5

If contaminant is found in a solution at a level of 3/500%. Then 3/5  is fraction of the solution

A fraction represents a part of a whole.

Given,

A contaminant is found in a solution at a level of 3/500%

Let us convert five hundred percentage to a fraction.

500% is converted to fraction by dividing 500/100

So let us divide three by 500/100

3/ (500/100)

When a fraction is divided with another fraction, then the denominator is multiplied inversely with numerator

3×100/500

=300/500

3/5

Hence if contaminant is found in a solution at a level of 3/500%. Then 3/5  is fraction of the solution

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Answer:

D- -50.76

Step-by-step explanation:

Answer:

Erin must first reconcile her bank account:

She must add to her bank balance all the deposits in transit = $125.56 + $50 + $212.34 = $387.90

then she should subtract all outstanding checks = $15 + $78.25 = $93.25

reconciled bank statement = $844.93 + $387.90 - $93.25 = $1,039.58

if her check register shows a $1,150.34 balance and her reconciled bank statement is $1,039.58, then there is a $10.76 difference that must be accounted for.

The $10.76 are probably bank fees and charges that Erin has not recorded yet. Therefore, she should check her bank statement and look for any charged fees (ATM withdrawal charges + account fees) and then record them properly.

*ATM withdrawals are automatically recorded by the bank, so they do not have to be considered in the reconciliation, there is no such thing as outstanding ATM withdrawal.

Answer:

Step-by-step explanation:

factor the trinomial: (3x-1)(2x+1)=0

x = 1/3 or -1/2

Answer: 200 messages

========================================================

Check out https://brainly.com/question/11754609 for a similar problem

Plan A's cost equation is y = 0.10x + 30

Plan B's cost equation is y = 50

Equate the two right hand sides, then solve for x

0.10x + 30 = 50

0.10x = 50-30

0.10x = 20

x = 20/0.10

x = 200

If you send/receive 200 messages, then the two plans will both cost the same ($50) per month.

Answer: A bond purchased at $500.00 now has a value of $650.00 what is the percent increase of its value?

To make it simple for you, the final ANSWER is a 30% increase, due to the fact that taking $500.00 and multiplying that by 0.3 gives you 150, which you add on to 500, giving you 650. Hope that helps!

Answer:  The required percent increase in the bond's value is 30%.

Step-by-step explanation:  Given that a bond purchased at $500.00 now has a value of $650.00.

We are to find the percent increase of the value of bond.

According to the given information, we have

Purchasing value of the bond = $500.00

and

present value of the bond = $650.00.

So, increase in the value of the bond = $(650.00 - 500.00) = $150.00.

Therefore, the percent increase of the bond's value is given by

[tex]\dfrac{150.00}{500.00}\times 100\%=\dfrac{3}{10}\times 100\%=30\%.[/tex]

Thus, the required percent increase in the bond's value is 30%.

Answer:

Step-by-step explanation:

Answer:

The problem can not be solved since  information is missing.

The coldest surface temperature of the moon needs to be given in the text.

THIS IS THE ACTUAL ANSWER

NO JOKE

Answer:

x = 6

Step-by-step explanation:

The midsegment of a trapezoid is the line parallel to the parallel sides of the trapezoid, which connects the midpoints of the non-parallel sides.

The length of the midsegment of the trapezoid is half the sum of the length of the parallel sides.

i.e,

Length of the midsegment = (1/2) *(Length of base1 + Length of base2)

6x - 24 = (1/2) * (5 + 2x + 7)

12x - 48 = 2x + 12

10x = 60

x=6

∴ x = 6

Answer:

its called line FGH

Step-by-step explanation:

its because the line is FGH

Hope this helps :)

A line is named by two of the points on the line, with a line drawn above the letters.

For the line in the attached image, the answer would be the first choice.

Answer:

Therefore, the correct option is OPTION C.

Step-by-step explanation:

If Orlando had not made his early withdrawal, the amount of money he would have earned is:

F = 0.065($16,000)(8) = $8.320

Given that he withdraw $3500, he now earns:

F1 = (0.065)($16,000)(5) + ($12,500)(0.065)(3)

F1 = $5200 + $2437.5 = $7637.5

And now we have to take into acount the year of penalty, which is one year’s worth of interest on the amount withdrawn.

Penalty= $3500(0.065)(1) = $227.5

So the total money he earns now is: $7637.5 - $227.5 = $7410

Then, the amunt of money he could have earn but he didn't is:

Money = $8.320 - $7410 = $910

Therefore, the correct option is OPTION C.

Answer:

Its C

Step-by-step explanation:

Answer: The correct answer for number 1. is 11

Answer:

[tex]\frac{3\sqrt{13} }{2}[/tex]

Step-by-step explanation:

First we have to identify the parallel sides of the trapezium.

We know that the slopes are equal for parallel lines.

Slope of (x₁,y₁) and (x₂,y₂) is given by

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Slope of AB:

[tex]m_{AB} = \frac{3-5}{3-0}=-\frac{2}{3}[/tex]

Slope of BC:

[tex]m_{BC} = \frac{-2-3}{5-3}=-\frac{5}{2}[/tex]

Slope of CD:

[tex]m_{CD} = \frac{2+2}{-1-5}=-\frac{4}{6}=-\frac{2}{3}[/tex]

Slope of DA:

[tex]m_{DA} = \frac{2-5}{-1-0}=3[/tex]

We see that the slopes of AB and CD are equal, so, AB and CD are the parallel sides.

The length of the midsegment = (1/2)*(length of base1 + length of base2 )

Length of the bases can be calculated using distance formula,

[tex]d= \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

AB = [tex]\sqrt{(3-0)^{2}+(3-5)^{2}}= \sqrt{9+4} =\sqrt{13}[/tex]

CD = [tex]\sqrt{(-1-5)^{2}+(2+2)^{2}}= \sqrt{36+16} =\sqrt{52}=2 \sqrt{13}[/tex]

Length of the midsegment = (1/2) (√13 + 2√13) =3√13/2

Answer:

true statement

Step-by-step explanation:

Substituting a solution back into the original equation will make the equation true.

Answer:

We are given that a fair coin is tossed 3 times.

We know that if a fair coin is tossed 3 times, then there are 8 possible outcomes.

(a) what is the sample space for this chance process?

The sample space associated with tossing a fair coin three times are:

Ω = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

Where:

H denotes the head and T denotes the tail.

(b) what is the assignment of probabilities to outcomes in this sample space?

We are given that a fair coin is tossed 3 times, which means that all the possible outcomes in the above mentioned sample space has equal chance being selected. Therefore, the assignment of probabilities to outcomes in this sample space is same for all outcomes and is given below:

[tex]p= \frac{1}{8}[/tex]

Answer: 7/8

Step-by-step explanation:

think of each faction as a pie or pizza.

each one will have the number of slices as the bottom number of the fraction.

now shade in the top numbers and see if it more than your 1/2

you will see 7/8 is the answer since it will be one piece left from being complete or "gone"

hope this helped angel!!

Answer:

option: A is correct

Step-by-step explanation:

kaisa's claim is incorrect. clearly the sum of the three angles is 180 degrees therefore we could easily create a triangle with the help of this information but we can't say that this traingle will be unique so we need to know some more information regarding its side.hence multiple triangles could be drawn with these angle measures.

hence option A is correct.

Answer:

A

Step-by-step explanation:

Answer:

DE = 6 cm

Step-by-step explanation:

Let DE = x cm.

Since DE is parallel to AB therefore by the alternate interior angles theorem, m∠BAD = m∠ADE and m∠ABE = m∠DEB ............(1)

As AD is an angle bisector of ∠A, therefore m∠EAD = m∠DAB ; Since BE is an angle bisector of ∠B ⇒ m∠ABE = m∠EBD.

Therefore, from (1) We get ,  m∠EAD = m∠ADE and m∠EBD = m∠BED.

So, the triangles ADE and EDB are then isosceles with AE = ED and ED = DB.

So AE = DE = DB = x, and since the perimeter of ABDE is 30 cm, then

12 + x + x + x = 30

⇒ 12 + 3x = 30

⇒ x = 6

Hence, the length of DE is 6 cm.

Answer:

DE=6cm

Step-by-step explanation:

Let x=DE, since AB║DE, therefore ∠BAD=∠ADE and ∠ABE=∠BED.        (1)

Also, we are given that AD is the angle bisector of ∠A and BE is the angle bisector of ∠B,

Therefore, ∠EAD=∠DAB and ∠ABE=∠EBD                                             (2)

From (1) and (2), ∠EAD=∠ADE and ∠EBD=∠BED

⇒The ΔADE and ΔEDB then becomes the isosceles triangle with AE=Ed and ED=DB (Sides opposite to equal angles are always equal)

Therefore, AE=DE=DB=x

We are given that the perimeter of ABDE is 30 cm, therefore,

Perimeter of ABDE= sum of all the sides of ABDE

⇒30=AB+BD+DE+AE

⇒30=12+3x

⇒30-12=3x

⇒x=6cm

Therefore, the length of DE= 6cm

The correct answer is A, 1440 guppies.

Answer:

Option A. 1440 guppies

Step-by-step explanation:

In an appropriate environment, the population of breeding guppies doubles every 2 months.

Initial population of guppies = 180

after 2 months they doubles = 180 × 2 = 360

after 4 months they doubles  = 360 × 2 = 720

after 6 months they doubles again = 720 × 2 = 1440

After 6 months guppies population would be 1440.

Answer:

Option A is correct.

Inequality represents the sale s in dollars:

[tex]0.025s\geq 100[/tex]

[tex]s> 4000[/tex]

Step-by-step explanation:

Let s represents the sales in dollars.

Given :A salesperson at a clothing store earns a commission of 2.5% on all the sales he makes.

Earns a  Commission = 2.5% of s = [tex]\frac{2.5}{100} \times s = \frac{25s}{1000} = 0.025s[/tex]

It is also given that he needs to make to earn a commission of more than $100

then, we have an inequality:

[tex]0.025s\geq 100[/tex]

divide both sides by 0.025 we get;

[tex]s> 4000[/tex]

Therefore, an inequality represents the sales in dollar ; [tex]0.025s\geq 100[/tex] or [tex]s> 4000[/tex]

Answer:

s > 4,000, s > 4,000

Step-by-step explanation:

Since he needs to make $100 the choices that give him $100 or more are correct.

Answer:

I would say A. 7.8 x 10^-5

Step-by-step explanation:

7.8 x 10^-5 can also be written as 7.8 times 10 to the negative fifth power or the exponent of negative five. But, if you solve it you would get 0.000078 as the real number.

Answer:

the answer is d

Step-by-step explanation:

you can tell because it's past 2 and close to 3. it's -5 because it's past -4. so their is your answer to why it's d

The ordered pair that represents point P on the graph is **D) (3, -5)**. Point P lies in the fourth quadrant, where both the x-coordinate (3) and the y-coordinate (-5) are positive.

Answer: Choice D) x intercept of f(x) is larger then the x intercept of g(x)

===================================

Explanation:

A) False. The x intercept of f is 1 while the x intercept of g is -1. The x intercept happens when y = 0. Visually, this is where the graph crosses the x axis.

B) False. The y intercept of f(x) is -1, compared to the y intercept of g(x) is +1. The y intercept happens when x = 0, which is when the graph crosses the y axis.

C) False. The y intercept of f(x) is actually smaller than the y intercept for g(x)

D) True. The x intercept of f(x) is larger than the x intercept of g(x). Compare 1 and -1, which are the x intercepts for f and g in that order.

Answer: D

Step-by-step explanation:

NOTES:

          f(x)        g(x)

x-int:     1          -1

y-int:    -1           1

A) x-intercepts are not equal so FALSE

B) y-intercepts are not equal so FALSE

C) y-intercept of f(x) is not greater than g(x) so FALSE

D) x-intercept of f(x) is greater than g(x) so TRUE