An angle measures 13.8° more than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer 1
First let us know –

What is complementary angle ?

When sum of two angles is 90°, then each of those two angles will be considered to be the complementary angle of each other.Example : 60° and 30° are two angles, and their sum is 90°. So, 60° and 30° are complementary angles.

[tex]\qquad[/tex]____________________

Explanation :-

Measure of an angle is 13.8° more than the measure of it's complementary angle. We are asked to find measure of each angle!

Solution :-

One of the complementary angles be "x" . Then the other angle becomes " (x + 13.8)° "

Sum of these two angles is equal to 90° . Since they are complementary angles.

[tex] \bf{\underline{\underline{\dag According\ to\ the\ question:-}}} [/tex]

[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow {x\ +\ x\ +\ 13.8°\ =\ 90⁰} }[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 2x + 13.8° = 90° [/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 2x = 90° - 13.8° [/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 2x = 76.2° [/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow x = \cancel{\dfrac{76.2°}{2}} [/tex]

[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow x = 38.1° }[/tex]

Then

[tex]\qquad[/tex][tex] \bf \longrightarrow x +13.8° [/tex]

[tex]\qquad[/tex][tex] \tt \longrightarrow 38.1° + 13.8° [/tex]

[tex]\qquad[/tex][tex] \tt \longrightarrow 51.9° [/tex]

The measures of the two given angles is 38.1° and 51.9°.

[tex]\qquad[/tex]______________________


Related Questions

Pre college need helpp

Answers

Answer:

f(8)=57, f(-4)=21, and f(0)=1

Step-by-step explanation:

f(8)=8^2-8+1

f(8)=64-7

f(8)=57

f(-4)=(-4)^2-(-4)+1

f(-4)=16+5

f(-4)=21

f(0)=0^2-0+1

f(0)=0+1

f(0)=1

how do you find the value of x on this triangle?

Answers

Answer:

Solving for X in a Right Triangle

Step-by-step explanation:

Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.

Debra spends 42 minutes each day driving to work. About how many minutes does she spend driving to work each month?​

Answers

Answer:

given,

time spent each day for driving to work = 42 mins time spent for driving work each month ( m ) = ?

we know ,

1 month is equal to 12 days

so,

m = 42× 12

= 504

hence, Debra spends 504 minutes driving each month.

Plz help me NOW and I will mark you brainliest

Answers

Answer:

Translate from words to mathematical equation.

"n is m% of what?"

m% = m/100

what = a variable ... "x". for example.

"is" means "="

"of" means multiply

n = (m/100)•x

What is the solution for x in the equation
-4+5x-7=Okay 0+3x-2x

Answers

Answer:

X = 2.75 or 2 3/4 in fraction form

Step-by-step explanation:

We know that the variable X has to make both equations equal.

It is really just crossing out the options.

2.75 can fit in the X variable because if 2.75 was in both equations, the answer would be the same.

So the answer is 2.75

Hope this helps! :)

૮ ・ﻌ・ა

Do both of them for 50 points

Answers

Answer:

1) 5.44, 2) 3.9

Step-by-step explanation:

1) a/b + 2b - a^2 when a = 1.4 and b = 0.2

plug in the values:

1.4/0.2 + 2(0.2) - (1.4)^2 = 7 + 0.4 - 1.96 = 5.44

2) a[b-2c]^3 - d/e when a = 2, b = -0.75, c = -1, d = 0, e = -12 5/7 (rewritten to -89/7 = 12.71)

again, plug in the values:

2[-0.75-2(-1)]^3 - 0/12.71 = 2[1.25]^3 - 0 = 2[1.95] = 3.9

Heres an easy question. Solve this.
[tex]\frac{1}{5}[/tex]y = 10

Answers

Answer:

y=50

Step-by-step explanation:

[tex]\frac{1}{5}[/tex]y=10

 y=10÷[tex]\frac{1}{5}[/tex]

   =50

Ed is 7 years older than ted. Ed is also 3/2 times teds age. How old are ed and ted

Answers

Answer: Ted is 14 years old, Ed is 21 years old

Answer: Ted is 14 years old, and Ed is

21 years old.

Explanation is in the image.

A store makes $9500 a month in sales. They pay $3325 a month in rent. What percent of their sales is used to pay rent

Answers

Answer:

35%

Step-by-step explanation:

We can use the equation "is over over" to give up 3325/9500*?/100, after simplifying your answer is 35%

Brainliest would be appreciated. :-)

3325/9500 shows the decimal .35 and then to make it a percent you multiples .35x100 and that equals 35%

Solve the equation.
2
What is the first step to isolate the variable term on one side of the equation?
What is the second step to solve for x?

Please help and be fast

Answers

Answer:

Add 1/2x, Divide by 7/6

Step-by-step explanation:

Add 1/2x to both sides

Divide both sides by 7/6

Can I get the answers for all the questions and if you can explain how you got it that would help PLSSSSS!!!!

Answers

7 is D because one person is doing 4 times as much work as the other person they are working with. The person that is doing the least is labelled m, and is added to 4m because 4m does 4 times as much work as m, except he does it along with m so they MUST be added together. 8 is A because if you rearrange the equation, you get 4s=70. If the 4 shirts would have cost 70$ before applying that coupon, then 4 shirts of the same cost (4s) would equal 70$. Try the last ones yourself so you can make sure you fully understand what is happening.

ean is comparing prices on ground beef. Store A is selling 5 pounds of ground beef for $23.49. Store B is selling 8 pounds of ground beef for $36.96.
Which store is offering the better deal on ground beef? Show your work.

Answers

Well just know the 5 pounds is worse but what I do is divide 23.49 into 5 for each pound and do the the same for the 8 pounds expect 36.96

the ecpanded form of 239.013​

Answers

[tex]239.013 = 2 \times 100 + 3 \times 10 + 9 \times 1 + 0 \times 1 \div 10 + 1 \times 1 \div 100 + 3 \times 1 \div 1000[/tex]

hope it helps :)

Answer:

[tex]239.013=2×100+3×10+9×1+0×1÷10+1×1÷100+3×1÷1000[/tex]

look at this digram a. what fraction is shaded b. what percentage is shaded

Plz answer ASAP
I need help

Answers

Answer:

a:6÷9

b:0.666% are the answers

solve the following system of equations

Answers

Answer: the answer is D which is (2,1)

A rectangle’s perimeter is 86in . Its length is 9in longer than its width. Use an equation to find the rectangle’s length and width.

Answers

Answer:

Step-by-step explanation:

Let width be x

So length would be x + 9

If perimeter is 86, then

2(l+b) = 86

2(x + x+9) = 86

4x + 18 = 86

4x = 68

X = 17

Check:

2(x + x + 9) = 86

2(17 + 17 + 9) = 86

2(43) = 86

86 = 86

Here you go

7×0.4= show work please​

Answers

Answer:

2.8

Step-by-step explanation:

.4 × 7 =2.8

.4+.4+.4+.4+.4+.4+.4

Hope this helps!!:)

Answer:

2.8

Step-by-step explanation:

This is the same as:

[tex]0.4+0.4+0.4+0.4+0.4+0.4+0.4[/tex]

If we were to change the question to:

[tex]4+4+4+4+4+4+4=28[/tex]

That would be 10x this question's answer, Therefore you divide 28 by 10 to give you 2.8  

You start at (-4, -1). You move up 2 units and right 6 units. Where do you end?

Answers

Answer:

(2, 1)

Step-by-step explanation:

-4 + 6 = 2

-1 + 2 = 1

X and Y become positive by going up and right

Answer:

(2, 1 )

Step-by-step explanation:

A move of 2 units up in the positive y- directions means adding 2 to the y- coordinate.

A move right of 6 units in the positive x- direction means adding 6 to the x- coordinate.

(- 4, - 1 ) → (- 4 + 6, - 1 + 2 ) → (2, 1 )

Find the value of x and y

Answers

Answer:

X=90

Y=43

Step-by-step explanation:

hope it will help goodbye

Michael paints a circular
tablc that has a diameter
of 19 inches. What is the
area of the table?

Answers

Answer:

90.25π

Step-by-step explanation:

The formula for solving the area of a circle is πr².

r is the radius. We can find the radius by splitting the diameter in half: 19/2 = 9.5.

We can apply the area formula and we get π9.5² and the answer is 90.25π.

Need help asap! Pls

Answers

Answer:

Step-by-step explanation:

The upper right angle is supplement to 130° and a corresponding angle to (3x + 5)

130 + (3x + 5) = 180

3x + 5 = 50

3x = 45

x = 15

A hiker maintains an average speed of 3 3/4 km/h. How many kilometers will the hiker walk in 5 hours

Answers

Answer:

3 3/4 km = 1 hr

_______. ____

x 5

5 (3 3/4) = 18.75 km

Answer:

Explanation:

18.75 km

Which example illustrates the associative property of addition for polynomials? [(2x2 + 5x) + (4x2 – 4x)] + 5x3 = (2x2 + 5x) + [(4x2 – 4x) + 5x3] [(2x2 + 5x) + (4x2 – 4x)] + 5x3 = [(4x2 – 4x) + (2x2 + 5x)] + 5x3 (2x2 + 5x) + [(4x2 – 4x) + 5x3] = (2x2 + 5x) + [5x3 + (4x2 – 4x)] [(2x2 + 5x) + (4x2 – 4x)] + 5x3 = [(5x + 2x2) + (–4x + 4x2)] + 5x3

Answers

Answer:

A

Step-by-step explanation:

Answer: first one

Step-by-step explanation:

omm it’s A

10x + 7-x=3x + 8
Please give me answer!

Answers

Answer:

Solution: x = 1/6

Decimal form: 0.166667

Hope this helps :)

Answer:

x = 1/6

Step-by-step explanation:

10x + 7 - x : Combine like terms (In this case the x values)

9x+7 = 3x + 8 : Subtract 3x from both sides

6x + 7 = 8 : Now subtract 7 from both sides

6x = 1 : Divde both sides by 6

x = 1/6

15 1/2 as an integer

Answers

2 good luck on ur work :)

Help I need the answer fast!

Answers

Answer:

2 14/25

Step-by-step explanation:

16/(2+1/2)^2 .        simplify 2+1/2 to 5/2

16/(5/2)^2

16/5^2/2^2

16/25/4

16*4/25

64/25

2 14/25

PEMDAS "P" is first, "E" second and then "D" is last

[tex]16\div \left( 2+\frac{1}{2} \right)^2\implies 16\div \left( \frac{2}{1}+\frac{1}{2} \right)^2\implies 16\div \left( \cfrac{4+1}{\underset{\textit{using this LCD}}{2}} \right)^2 \\\\\\ 16\div\left( \cfrac{5}{2} \right)^2\implies 16\div\cfrac{5^2}{2^2}\implies 16\div\cfrac{25}{4}\implies \cfrac{16}{1}\div\cfrac{25}{4}\implies \cfrac{16}{1}\cdot \cfrac{4}{25} \\\\\\ \cfrac{64}{25}\implies 2\frac{14}{25}[/tex]

Explain in your own words the steps to dividing decimals by decimals.

Answers

1: Estimate the answer by rounding . You'll use this estimate to check your answer later.

2: If the divisor is not a whole number, then move the decimal place
places to the right to make it a whole number. Then move the decimal place in the dividend the same number of places to the right (adding some extra zeros if necessary.)

3: Divide as usual. If the divisor doesn't go in evenly, add zeros to the right of the dividend and keep dividing until you get a 0
0
remainder, or until a repeating pattern shows up.

4: Put the decimal point in the quotient directly above where the decimal point now is in the dividend.

5: Check your answer against your estimate to see if it's reasonable.

The path of a race will be drawn on a coordinate grid like the one shown below. The starting point of the race will be at (−5.3, 1). The finishing point will be at (1, −5.3).

Answers

Part A:  For the -5.3, 1 it would be located in Quadrant Q because even though it just goes to -4 and 4 I can extend the grid in my head and that's how I was able to figure out.

Step-by-step explanation:

A line segment has endpoints at (3, 5) and (6, 1)
What is the x-coordinate of the midpoint?

Answers

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{1}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{6+3}{2}~~,~~\cfrac{1+5}{2} \right)\implies \left( \cfrac{9}{2}~~,~~\cfrac{6}{2} \right)\implies \left(4\frac{1}{2}~~,~~3 \right)[/tex]

Find the probability of rolling a die twice, first getting a 3 and then an odd number.
(This sounds simple but every answer I get isn’t the correct one)
PLEASE I DON’T UNDERSTAND

Answers

Answer: 1/3 or 0.333333333

Step-by-step explanation:

Probability of getting a 3 is 1/6.

1/6

Probability of getting an odd number is 3/6.

3/6

Multiply them.

1/6*3/6 = 4/12

Simplify.

4/12 = 1/3

Correct me if I am incorrect.

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