Twice the complement of an angle is 25 less than 3 times the angle. Find the measure of both angles.

Answers

Answer 1

Answer:

Step-by-step explanation:

Let the angles size = x

The complement of the angle is 90 - x

Two times the compliment is 2*(90 - x)

Three times the angle is 3x

25 less than 3 times the angle = 3x - 25

Now you have to equate the two bolded pieces of information.

3x - 25 = 2(90 - x)                 Remove the brackets

3x - 25 = 180 - 2x                 Add 25 to both sides

     25      25

3x = 205 - 2x                         Add 2x to both sides.

2x              2x

5x = 205                                Divide by 5

5x/5 = 205/5

x = 41

The compliment of x = 90 - 41 = 49

The angle itself = 41


Related Questions

I need this ASAP. Thanks​

Answers

Answer:

-6

Step-by-step explanation:

since x = - 5 is < 3

for x < 3,

f(x) = 3x + 9

placing the value of x as - 5

f(x) = 3× (-5) + 9

= -15 + 9

= - 6

What is the 8th term in the geometric sequence described by this explicit
formula?
an=6x3(n-1)

Answers

Answer:

13122

Step-by-step explanation:

an = 6 x 3^(n - 1)

n = 8

a8 = 6 x 3^(8 - 1) = 6 x 3^7 = 6 x 2187 = 13122

The above person is Correct, they deserve more Rating

--to brainly staff*     If you delete this answer, something is wrong with this world, im trying to help the people who are unsure about the above answer having a low rating, to tell them that it is the correct answer. Thank you

Can someone please help me solve this
20 points to the person who can help me solve

Answers

Answer:

7/15

Step-by-step explanation:

P(appetizers with cheese) = number with cheese / total = 1/5

P(entrees with cheese) = number with cheese / total = 1/3

It is the P(a) + P(b) - P(a and b)

We cannot double count the cheese and cheese event)

P( cheese and cheese) = 1/3 * 1/5 = 1/15

1/5 + 1/3 - 1/15

3/15 + 5/15 -1/15

8/15 - 1/15

7/15

i have no idea please help

Answers

Answer: D

Step-by-step explanation:

I’m like 90% sure it’s D ‍♀️

Answer:

D

Step-by-step explanation:

Domain is how far the graph goes left to right.

The left arrow goes left into -infinity forever

The right arrow goes down and to the right forever, into infinity

A pipeline is to be run to a resort community which is on an island 16 kilometres from the closest point on the shoreline. The water source for the pipe is 30 kilometres down the shore. If it costs $500/km to lay pipe through water and $300/km to lay pipe on land, at what point on the shoreline should the pipe turn into the water to minimize cost? What is the total cost?

Answers

Answer:

hi pero love youkiss you

Step-by-step explanation:

helli

The domain of the function is the set of all real numbers, and the range of the function is the set of all real numbers greater than or equal to

Answers

Answer:

Step-by-step explanation:

The lenten on a map states that 1 inch is 40 miles. If you measure 5 inches on the map, how many miles would the actual distance be?

Answers

Answer:  200 miles

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

Work Shown:

(1 inch)/(40 miles) = (5 inches)/(x miles)

1/40 = 5/x

1*x = 40*5 .... cross multiply

x = 200 miles

------------

We could also look at it like this:

1 inch = 40 miles

5*(1 inch) = 5*(40 miles) .... multiply both sides by 5

5 inches = 200 miles

need some help...............​

Answers

Answer:

I dont see the whole question

Step-by-step explanation:

Answer:

Remember the relation:

Distance = Speed*Time.

Then if we define:

y = distance

x = time

Speed = 50km/hr

Then we can write the relation between distance and time is:

y = (50km/hr)*x

This is the equation we need to graph.

To graph it, we can just find two points of that equation, and then draw a line that connects them:

For example if we have x = 0hr then:

y = (50km/hr)*0hr = 0km

then we have the point (0hr, 0km)

If now we use the point x = 1hr, then:

y = (50km/hr)*1hr  = 50km

Then we also have the point (1hr, 50km)

Now we can draw these two points and connect them by a line, that line is the graph of the equation.

The graph of the equation can be seen below:

Please Hurry!!!!
The sum of two numbers is 44. The smaller number is 14 less than the larger number. What are the numbers?
Larger Number:
Smaller Number:

Answers

Answer:

Smaller number = 15

Larger number = 29

Step-by-step explanation:

Let smaller number be S

Let larger number be  L

Given :

Sum = 44. That is , S + L = 44

Smaller number is 14 less than larger number. That is , S = L - 14

Therefore the equations are :

                                          S + L = 44 ------(1)

                                          S = L -  14 ------(2)

Substitute (2) in ( 1 )

(L - 14 ) + L = 44

L - 14 + L = 44

2 L = 44 + 14

2 L = 58

L = 29

Substitute L in (1) : S = L - 14 = 29 - 14 = 15

Answer:

Larger Number: 29

Smaller Number: 15

Step-by-step explanation:

By assigning the letters "L" and "S", to the larger number and smaller number respectively, we can solve this using simultaneous equations:

L+S = 44

L-14 = S

By substituting S = L-14 into the first equation, we get:

L+L-14 = 44 (add 14 to both sides)

L+L = 58 ( divide by 2 as L+L becomes 2L)

L=29

When L= 29, S= 29-14 which is 15

Guys This is one of the most difficult question .
I salute the person who answer it correctly
The question goes like this :

The present price of a Camera is $32400. After day to day use, its price depriciates !! in such a way that its price will be $0 in 12 years ,, Then calculate the ptice of the Camera after 4 years. ​

Answers

Answer:

$21,600

Step-by-step explanation:

32400÷12=2700

2700×4=10,800

32400-10800=21600

Answer: $21,600

Step-by-step explanation: 32400÷12=2700

2700×4=10,80032400-10800=21600

WILL


GIVE BRAINLIST



SOLVE


SIX TIMES A NUMBER ADDED TO 8 IS 32 find the number

Answers

Answer:

6*4+8=32

Step-by-step explanation:

32-8=24

24/6=4

so 6*4=24

24+8=32

6x+8=32

6x+8-8=32-8

6x=24

6x÷6=24÷6

X=4

Answer is 4

Might be a bit confusing but hope that helps :)

The sum of a number and its square is 12 . Find the number

Answers

Answer:

Two solutions

3

-4

Step-by-step explanation:

3 + 3²

3 + 9 = 12

-------------------

-4  + (-4)²

-4 + 16 = 12

please help w the question in the pic, thanksss!

Answers

Step-by-step explanation:

everything can be found in the picture

Thank you ! Plz show your reasoning<3
x=
y=

Answers

Answer:

x= 2.67

y= 7

Step-by-step explanation:

I want you to know that I might be wrong.

I times 3 and 2.67 which gave me 8.

3 * 2.67 equals= 8.01

I added 8.01 to 7 which gave me 15.

Steel chain costs $8.20 per metre. How much does it cost to buy 50mm of chain?

Answers

Answer:

[tex]\$0.41[/tex]

Step-by-step explanation:

Convert millimeters to meters:

[tex]50\:\mathrm{mm}=0.05\:\mathrm{m}[/tex]

At a price of $8.20 per meter, the total price would be [tex]$8.20\cdot 0.05=\boxed{\$0.41}[/tex]

Find the missing side

Answers

Answer:

Use Mathpapa to find using formula:

55^2+19^2=c^2

Step-by-step explanation:

I can't straightforward give you answers; it'll ruin your chances of going to university! Hopefully you learned the concept.

The following table shows the salary of 7 people in an office last year.

Name Income
Andy £13500
Bevan £27500
Cheryl £13750
Deva £79000
Elliott £18750
Frankie £27500
Grace £15000
a) Work out the mean income to 2 DP.
b) Deva was given a large bonus for 30 years service.
Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?

Answers

Answer:

Mean of worker's salary = £27,785.71 (Approx.)Mean of worker's salary[Excluding Deva's income] = £16,500 (Approx.)

Step-by-step explanation:

Given:

Total number of worker = 7

Find;

1] Mean of worker's salary

2] Mean of worker's salary[Excluding Deva's income]

Computation:

Mean = Sum of all observation / Total number of observation

1] Mean of worker's salary = [13,500 + 27,500 + 13,750 + 79,000 + 18,750 + 27,500 + 15,000] / 7

Mean of worker's salary = [194,500] / 7

Mean of worker's salary = £27,785.71 (Approx.)

2] Mean of worker's salary[Excluding Deva's income] = [13,500 + 27,500 + 13,750 + 18,750 + 27,500 + 15,000] / 6

Mean of worker's salary[Excluding Deva's income] = [115,500]/7

Mean of worker's salary[Excluding Deva's income] = £16,500 (Approx.)

heyy need help seriously and someone better help dont answer for points and or putting a site or ill report you

Answers

Answer:

5. add all of those numbers and watch for like term which are h's. honestly im giving you how to do the problems, but you need to solve it.

6. multiply a rectangle and then the other rectangle and then find like terms and add them up.

if you need any help just comment, see you and hope you understand this, if not comment.  

Write your answer in its simplest form, please

Answers

Answer:

r = 16, q = 16√2

Step-by-step explanation:

This is a 45° 45° 90° triangle. In this type of triangle, the legs of said shape will be equal and the hypotenuse will be the leg length multiplied by √2.

Therefore, r = 16 and q = 16√2.

Answer:

r = 16, c = 22.63

Step-by-step explanation:

tan 45° = 16/r

r = 16/ tan 45°

r = 16

c² = a² + b²

c² = 16² + 16²

c² = 256 + 256

c² = 512

c = 22.63

Please help!
Does these set of numbers form a Pythagorean triple? Explain.

8,6,9

Answers

Answer:

no

Step-by-step explanation

3,6,9

Factor x2−6x+8 (x+2)(x+6) (x−4)(x−2) (x−5)(x−3) (x+4)(x−4)

Answers

Answer:

(x-4) (x-2)

Step-by-step explanation:

x^2−6x+8

What 2 numbers multiply to 8 and add to -6

-4*-2 = -8

-4+-2 = -6

(x-4) (x-2)

Jorden has already saced 35$. He wants to have 80$. He earns $6 per hour doing yard work which function will help jorden gigure out how many more hours [h] he needs to work

Answers

Answer:

Number of hours= 7.5

Step-by-step explanation:

Giving the following information:

Amount saved= $35

Hourly rate= $6

Total objective= $80

To calculate the number of hours to be saved, we need to use the following formula:

Number of hours= difference needed / hourly rate

Number of hours= (80 - 35) / 6

Number of hours= 45/6

Number of hours= 7.5

What is the slope of the line that contains these
points?
х 5 6 7 8
y -3 -1 1 3

Answers

It will be y -3 in general

the graph of x =-2 is a line parallel to the​

Answers

Answer:

If we know that the equation of the line [tex]x = -2[/tex] is parallel to the y-axis.

Step-by-step explanation:

The equation of a line parallel to the y-axis is of the form [tex]x = a[/tex], where [tex]a[/tex] is the x-coordinate of the point of the line passing through the x-axis. Then, if we know that the equation of the line [tex]x = -2[/tex] is parallel to the y-axis.

A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
what price the widgets should be sold for, to the nearest cent, for the company to
make the maximum profit.
y = -x2 + 72x – 458

Answers

Answer:

In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.

Step-by-step explanation:

The amount of profit y made by the company from selling each widget at x price is modeled by the equation:

[tex]y=-x^2+72x-458[/tex]

Since this is a quadratic with a negative leading coefficient, its maximum will occur at its vertex point. We want to find the price that the widget should be sold to make the maximum profit. So, we want to find the x-coordinate of the vertex. This is given by the formula:

[tex]\displaystyle x=-\frac{b}{2a}[/tex]

In this case, a = -1, b = 72, and c = -458. Substitute and evaluate:

[tex]\displaystyle x=-\frac{72}{2(-1)}=36[/tex]

In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.

What is the following difference?
2ab2/192an? -5 V81a4 b5

Answers

Answer:

C

Step-by-step explanation:

2ab * sqrt[3](192ab^2) - 5 * sqrt[3](81 a^4b^5) =

= 2ab * sqrt[3](4^3 * 3 * a * b^2) - 5 * sqrt[3](3^3 * 3 * a^3 * a * b^3 * b^2)

= 2ab * 4 sqrt[3](3 * a * b^2) - 5 * 3 * a * b * sqrt[3](3 * a * b^2)

= 8ab * sqrt[3](3 * a * b^2) - 15ab * sqrt[3](3 * a * b^2)

= -7ab * sqrt[3](3ab^2)

Answer: C

if the pressure is 50 Pa and the mass of the object is 50 kg ,what is the surface area of the object?

Answers

Answer:

9.81m^2

Step-by-step explanation:

Given data

Pressure P= 50Pa

Mass M= 50kg

Weight= Mg= 50*9.81= 490.5N

Hence Force= 490.5N

We know that Pressure= Force/Area

Substitute

50= 490.5/Area

Area= 490.5/50

Area= 9.81 m^2

Hence the area is 9.81m^2

What is the product?

Answers

Answer:

-30a⁵b + 12a⁴b² + 16a³b² - 4a²b⁴ - 2ab³

Step-by-step explanation:

( - 6a³b + 2ab²)( 5a² - 2ab² b)

multiply the second parantheses by each term from the first parantheses.

-6a³b×(5a²- 2ab²b -b)+2ab×(5a² -2ab²b-b)

-6a³b× (5a² - 2ab² b) +2ab × (5a² - 2ab² b)

-30 a⁵b + 12a⁴b² + 6a³b²+ 10a³b² - 4a²b⁴ - 2ab

combine like terms

-30a⁵b + 12a⁴b² + 16a³b² - 4a²b⁴ - 2ab³


Use SOH CAH TOA to identify the Cosine C.

Answers

Answer:  20/29

Explanation:

This is because cosine is the ratio of adjacent over hypotenuse

cos(angle) = adjacent/hypotenuse

In this case, 20 is the adjacent side to the reference angle C. The hypotenuse is the longest side 29.

2x-1+3x=0 5x-1=0 how can we get equation b from a

Answers

2x - 1 + 3x = 0
2x + 3x - 1 = 0
(2 + 3)x - 1 = 0
5x - 1 = 0

Rewrite one side (or both) by combining like terms.

What is equation?

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

2x – 1 + 3x = 0..........(A)

5x – 1 = 0................(B)

To get Equation B from A, we would rewrite one side (or both) by combining like terms

2x – 1 + 3x = 0

5x – 1 = 0

Learn more about equation here:

brainly.com/question/10413253

#SPJ7

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