An angle measures 86° less than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer 1

[tex]x + (x - 86) = 90[/tex]

[tex]2x - 86 = 90[/tex]

Both sides plus 86

[tex]2x = 90 + 86[/tex]

[tex]2x = 176[/tex]

Divided both sides by 2

[tex]x = \frac{176}{2} \\ [/tex]

[tex]x = 88[/tex]

So the angles are :

[tex]88 \: \: \: \: \: and \: \: \: \: 2[/tex]

Answer 2

The measure of the two complementary angles are 88° and 2°.

What is a complementary angle?

"When the sum of two angles is 90°, then the angles are known as complementary angles."

Let, the complementary angle of the mentioned angle is x.

Therefore, the angle is = (x - 86°)

Now, x + (x - 86°) = 90°

⇒ 2x - 86° = 90°

⇒ 2x = 176°

⇒ x = 88°

Therefore, the measured angle is 88°.

It's complementary angle is = (90° - 88°) = 2°.

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Related Questions

Use the graph below to find the coordinates of J'after J(-5, 1) was reflected over the linex=-3.

Answers

Answer:

J's would be (-5,-4) if J was reflected over the line x=3.

y=f(1/3x) & find new coordinates

Answers

Answer:

A(-3,0)

B(6,1)

C(15,0)

Step-by-step explanation:

To find the three new coordinates A,B,C we have to find out the equation of the original curve y=f(x) which is shown in the figure. We find that equation by using the turning point (2,1) which is point B and take any other point either A or C which intercept's the x-axis, i took C. We put both these points into the completing square formula of the curve.

[tex]y=a(x-h)^2+k[/tex]

where (h,k) are the turning points (2,1) respectively and C (5,0) corresponds to (x,y)

so the equations becomes

[tex]0=a(5-2)^2+1\\0=a(3)^2+1\\0=9a+1\\-1=9a\\a=\frac{-1}{9}[/tex]

So our equation y=f(x) becomes

[tex]y=-\frac{(x-2)^2}{9}+1[/tex]

now for

[tex]y=f(\frac{x}{3} )[/tex]

we replace the x in the original equation above with x/3 which changes the equation to

[tex]f(\frac{x}{3} )=-\frac{(\frac{x}{3}-2)^2}{9} +1[/tex]

and now we sketch the curve we have our hints for the new points A,B,C our hint is that the original points A and C are the x-intercepts so the new A and C lets name them A' and C' must be the x-intercepts as well and B is the turning point of y=f(x) so the new point B' must be the turning point of y=f(x/3)

so we simply sketch the curve y=f(x/3) use an online graph plotter if you know how to sketch it to save time or if you don't know you can ask me and i'll teach you cause learning to sketch isn't in the question so furthermore we sketch the curve i attached the figure in an image you check it out and the new points as well.

What is Math POSTER I don't know what it is

if u guys did it before and u still have the paper can u guys show me thank u


PLZ HELP THAT THE ASSIMNET

Answers

Answer:

Easy, check bellow.

Step-by-step explanation:

Mistakes

Allow

Thinking to

Happen

A store manager wants to have a sales promotion where he gives prizes to the first several people through the door. The manager wants each person to receive the exact same items and in the same amount. He also wants to distribute all of the prizes. The manager has 280 pins, 200 ornaments, and 60 mugs to distribute.

If the manager wants to give prizes to as many people as possible, how many people will get gifts?

80
4,200
20
200

Answers

20 because it is the greatest common factor

What steps are needed to solve 3 (2x -1) -3 =12

Answers

Answer:

x=3

Step-by-step explanation:

6x-3-3=12

6x=18

x=3

PLEASE HELP ME!!

Does the following depict a translation, reflection, or rotation?

Answers

It depicts a rotation

Solve for x in simplest form 11=3/4(3x+12)

Answers

11 = 3/4(3x+12)
11=3/4 x 3x + 3/4 x 12
11= 9/4x + 9
11-9 = 9/4x
2 = 9/4x
x = 2 x 4/9
= 8/9

Please mark brainliest if this helps

Answer: 8/9

Multiply 3/4 by 3x and 12, then subtract the number with out the variable on the right side from both sides.

What is the remainder in the synthetic division problem below? 14 6 - 1​

Answers

Answer:8

Step-by-step explanation:

is 45.03 greater then 40.44 or are they equivalent?

Answers

Answer:

greater

Step-by-step explanation: 45 and 40

Answer: Yes 45.03 is greater than 40.44

Step-by-step explanation: 45.03 - 40.44 = 4.59 since it isn't zero they aren't eqivilant.

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Find the equation of the circle whose center and radius are given.
center (5, 6), radius = 3

PLEASEEEE HELPPPP!!!! 50 POINTSSS!!!!!

Answers

Answer:

Please check this image for the answer.

Answer:

(x - 5)² + (y -6)² = 9

Step-by-step explanation:

Formula for the circle is

(x – h)² + (y – k)² = r²

Using the center (5, 6) and radius of 3

(x - 5)² + (y - 6)² = 3²(x - 5)² + (y -6)² = 9

Q(8,7), r(-7,2) s(8,13),t(-11,2) is it parallel

Answers

Answer:

it’s neither parallel or perpendicular

Step-by-step explanation:

Each year for 3 years, the time it takes to run a mile decreases by 7 seconds.

What number represents this total change in time.

Answers

Answer:

21

Step-by-step explanation:

Work out the size of angle x

Answers

Answer:

Let's name the angle right close to 51 as c.

c = 180°-51° since angles on a straight line is equal to 180°.

so c= 129°

so x = 129° since it corresponds to c

Answer:

Step-by-step explanation:

Notice that the line that the variable x is on is equal to 180 degrees. Because the angle that it is next to is equal to 51 degrees, you subtract 180 from 51:

180-51=129

The final answer to this problem is 129 degrees.

F(x)=(X+1)(x+3)(x-4)

Answers

Answer:

y=x3−13x−12

Step-by-step explanation:

these are 3 different questions. if you answer can u explain so it can help me please.

Answers

Answer:

ans of problem 12 is:

x=65

y=10

Answer:

Step-by-step explanation:

Problem 12:

I think that (2x-y)+60=(2x+y)+40

Because of the Alternate Interior Angles theorem, which places the 40 next to (2x+y) so then you know they are a linear pair. Same can be done for the side with the 60 degree angle. So both sides add up to 180 so they are congruent themselves and you can put them in this format:

(2x-y)+60=(2x+y)+40

         -40             -40

We do this to remove the 40 from the right side completely, and whatever you do to one side of the equation you have to do to the other as well so remove 40 from both.

(2x-y)+20=(2x+y)

-2x             -2x

Again, we are just trying to find out y right now

-y +20=y

+y        +y

20 = 2y

10 = y

Then insert the y into an equation telling us that it is equal to 180 (because we know that from before) to get what x is

(2x-y)+60=180

We can also input our y that we found out was 10 from before:

(2x-10)+60=180

And now we can add up 60 and -10

2x+50=180

Now subtract 50 to both sides

2x=130

And divide both sides by 2

x=75

So x=75 and y=10

Feel free to ask any questions

Problem 13:

The same type of working out, just with different numbers

− 3 − {3 − [ − 3(2 +4) − ( − 2)]}

Answers

-22 is the answer i got

Select the coordinates of two points that are on the line x = 5.

Answers

Answer:

anything as long is 5 is in the x spot, ex: (5, 1) or (5, 2)

Step-by-step explanation:

x=5 is a straight line up from the x axis where 5 is, meaning it has an undefined slope

If you were to describe a translation of triangle , what information would you need to include in your description?

Answers

you would need to have the information of how it translated, wether it was left or right, or up or down. you would also want the information of how far it translated.

Katie borrowed $550. Four months later, she sent a cheque for $562.83 to repay the loan and interest. What was the interest rate charged?

Answers

Answer:

3 percent

Step-by-step explanation:

562-550=12divided 4=3

The jazz band has m(variable) members. To raise money for a tour, each member sold 12 raffle tickets. Write an expression that shows the number of raffle tickets sold. ​

Answers

Answer: 12m

Step-by-step explanation:

Each member sells 12 tickets, so you would have to multiply the amount of tickets(12) by the amount of members(m).

Answer:  12m

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

Explanation:

1 person sells 12*1 = 12 tickets

2 people sell 12*2 = 24 tickets

3 people sell 12*3 = 36 tickets

....

m people sell 12*m = 12m tickets

m is a placeholder for a positive whole number (1,2,3,...)

2. Tommy's friend Jack also washes windows to earn
money Jack gets paid according to the graph:
a. At what unit rate (dollars/hour) does Jack get
paid?
Hours
b. Who gets paid more per hour Tommy (from question 1) or Jack? Explain how you know

Answers

Answer:

A. 5 per hour.

Step-by-step explanation:

A. Look at the graph, find where the 60 is, that equals to an hour. Then go right to find the dot. Go down and find the number, the number is 5.

B. There is no question one we are seeing, please specify the question.

3x + 2y + 4 ; x= 2 and y=3 |

Answers

Answer:

if x=2 and y=3 then

3x+2y+4 ---> 3(2)+2(3)+4

3(2)+2(3)+4

6+6+4

6+10

16

The product of 2x^3 and 6x^5 is

Answers

12x^8 multiply the leading terms (2and 6) then add exponents (5and3)

x divided by 1.6=9 what is x

Answers

Answer:

14.4

Step-by-step explanation:

Answer:

14.4

Step-by-step explanation:

Since you divided X by 1.6 to get 9. You will multiply 1.6 to 9 to get your answer which is 14.4.

URGENT!!! I REALLY NEED HELP! also its not D I just clicked on it

Answers

Answer:

i think the answer is C. x = {1,3}

Step-by-step explanation:

Answer:

I DON'T 74CKIN KNOW.

jk, pretty sure it's x = 1

Step-by-step explanation:

I’m looking for what kind of angles 2 and 6 are?

Answers

Answer:

Angles 2 and 11 are alternate interior angles I believe

Hope this helped!

What is the answer for
√x+5 +2=√x-7​

Answers

Solution:  x∈Ф

No solution

Step-by-step explanation:

[tex]\sqrt{x} +5+2=\sqrt{x} -7[/tex]

[tex]5+2=-7[/tex]

[tex]7=-7[/tex]

[tex]1=-1[/tex]

x∈Ф

f(x) = 3x^2 + 16 Find f(-1)

Answers

Answer:

Step-by-step exThis is a way to express finding the inverse function of  

f

(

x

)

=

x

2

16

Explanation:

First, write the function as  

y

=

x

2

16

.

Next, switch the  

y

and  

x

positions.

x

=

y

2

16

Solve for  

y

in terms of  

x

x

+

16

=

y

2

y

=

x

+

16

The inverse function should be  

f

1

(

x

)

=

x

+

16

put the numbers vertical

The value of the function for x = -1 is 19.

Given is a function f(x) = 3x² + 16 we need to find f(-1),

To find f(-1), we substitute -1 into the function f(x) and evaluate the expression.

Let's do that:

f(x) = 3x² + 16

Substituting x = -1:

f(-1) = 3(-1)² + 16

Simplifying:

f(-1) = 3(1) + 16

f(-1) = 3 + 16

f(-1) = 19

Therefore, f(-1) is equal to 19.

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Express the following equation in slope-Intercept form: 9x - 4y=-36

Answers

Answer:

y= 9/4x+9

Step-by-step explanation:

you write the 9/4 as a fraction it looks a little confusing I don't have an actual fraction symbol so it's 9/4 then x plus 9 :)

Select the correct answer from each drop-down menu. Samson is making a shipping box out of a 2-foot by 4-foot piece of cardboard. He will cut two squares of side length x and two rectangles with a width of x out of the cardboard and then fold the cardboard along the lines to make the box. He models the volume, , in cubic feet, as a function of the length x, in feet. He created the diagram and graph to model the box and its volume. Image not drawn to scale The zeros of function v occur at 0 and 1 . To make the box, Samson should use a value for x.

Answers

Answer: 0 and 1, less than 0

Step-by-step explanation:

Answer:

The zeros of function v occur at 0 and 1. To make the box, Samson should use a value between 0 and 1 for x.

Step-by-step explanation: PLATO

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