One angle in a complementary pair of angles measures 3 times the other angle.
What is the measure, in degrees, of the
smaller angle?

Answers

Answer 1

Answer:

22.5 degrees

Step-by-step explanation:

Complementary angles add up to be 90 degrees. You can model the simple equation [tex]x+3x=90[/tex] where is x is the small angle and 3x is the large angle.

[tex]4x=90\\x=22.5[/tex]

the smaller angle is 22.5 degrees


Related Questions

Derivative help please

Please dont comment if you dont know,
Thank u

Answers

[tex]y = x^{\tfrac 1{\ln x}}\\\\\implies \ln y = \ln \left( x^{\tfrac 1{\ln x}} \right)\\\\\implies \ln y = \dfrac{1}{\ln x} \cdot \ln x\\\\\implies \ln y = 1\\\\\implies y =e\\\\\\\text{Now,}\\\\\ \lim \limits_{x \to \infty} x^{\tfrac 1{\ln x}}=\lim \limits_{x \to \infty} y = \lim \limits_{x \to \infty} e = e[/tex]

Question:
Goofy Unlimited Lighting sells a 12 pack of lightbulbs for $8.40. Daisy Luminous Lighting sells a pack of 19 lightbulbs for
$15.35. Which store has the better deal. (3 points - 1 point showing the correct proportional relationship, 1 point
showing the unit rate, 1 point for identifying the store name)
es 0)
balo

Answers

Answer:

Goofy unlimited lighting 12 pack of light bulbs

Step-by-step explanation:

12 = 8.40/12 = .70 cents

19 = 15.35 = .81 cents

Find sin(a-B), if cosa=1/3, cosB=1/4, a=(0;180), B(-90;0)

Answers

Give me some hint please

Simplify the linear expression. −4x+5(−5x−1) Enter your answer in the box.

Answers

Answer:

-29x - 5

Step-by-step explanation:

-4x - 25x - 5 = -29x - 5

Answer:

- 29x - 5

Step-by-step explanation:

- 4x + 5(- 5x - 1) ← distribute the parenthesis by 5

= - 4x - 25x - 5 ← collect like terms

= - 29x - 5

Find the exact value.

Answers

[tex]\text{Given that,}\\\\\cot A = -\dfrac{9}{\sqrt{40}}\\\\\\\implies \tan A = -\dfrac{\sqrt{40}}9\\\\\\\implies \tan^2 A = \dfrac{40}{81}\\\\\\\implies \sec^2 A -1 = \dfrac{40}{81}\\\\\implies \sec^2 A = 1 + \dfrac{40}{81}\\\\\implies \sec^2 A = \dfrac{121}{81}\\\\\implies \sec A = \pm \sqrt{\dfrac{121}{81}}= \pm\dfrac{11}{9}\\\\\\\text{Since the angle A is in quadrant II, the value of sec A will be negative.}\\\\\\\text{Hence,}~ \sec A=-\dfrac{11}{9}[/tex]

Given the set of numbers, 2, 3, 4, 8, 10 with mean = 6 The Second moment about the mean for this set is?​

Answers

Answer:

Given,

2,3,4,8,10

ex=2+3+4+8+10+x

=27+x

mean=6

no of data=5

now,

mean = ex/n

or,6=27+x/5

or,5×6=27+x

or,30=27+x

or,30-27=x

3=x

1. The length of time, in hours, it takes an "over 40" group of people to play one soccer match is
normally distributed with a mean of two hours and a standard deviation of 0.5 hours. A sample of
size n = 50 is drawn randomly from the population. Find the probability that the sample mean is
between 1.8 hours and 2.2 hours.​

Answers

The probability that the sample mean is between 1.8 hours and 2.2 hours. is; 0.99535

What is the Probability in Normal Distribution?

We are given;

Sample size; n = 50

Standard deviation; σ = 0.5

Mean; μ = 2

The formula to find the z-score for each sample mean is;

z = (x' - μ)/(σ/√n)

Thus, for x' = 1.8, we have;

z = (1.8 - 2)/(0.5/√50)

z = -2.83

For x' = 2.2, we have;

z = (2.2 - 2)/(0.5/√50)

z  = 2.83

Thus, the probability that the sample mean is between 1.8 hours and 2.2 hours. is;

P(-2.83 < Z < 2.83) = 0.99535

Read more about Normal Distribution Probability at; https://brainly.com/question/4079902

#SPJ1

Find the value of x need help

Answers

Answer:

Step-by-step explanation:

The supplement of 102 = 180 - 102 = 78

It is the interior angle of the given exterior angle.

It is also the enclosed angle of the isosceles triangle

Each of the other two angles = y

180 = 2*y + 78              Subtract 78 from both sides

180 - 78 = 2y                Combine

102 = 2y                       Divide by 2

102 / 2 = y    

51 = y

The smaller triangle on your right has  2 equal sides that are marked.

The angle you just found = <2 and the vertically opposite angle of the 51

So <2 = 51

Solve x2 + 8x – 3 = 0 using the completing-the-square method.
A.x = 4+ 13
B.X= 4+13
C.x= 4+19
D.X=4 + √19

Answers

[tex]x = -4 \pm \sqrt{19}[/tex]

Step-by-step explanation:

Let us put 3 on the right side and rewrite the equation as

[tex]x^2 + 8x = 3[/tex]

By putting 16 on both sides, our equation becomes

[tex]x^2 + 8x + 16 = 3 + 16 = 19[/tex]

[tex]\Rightarrow (x + 4)^2 = 19[/tex]

Taking the square root of the equation, we get

[tex]x + 4 = \pm \sqrt{19}[/tex]

Finally, solving for x,

[tex]x = -4 \pm \sqrt{19}[/tex]

Plsssssssssssssssssss

Answers

Answer:

18.6cm

Step-by-step explanation:

there is a theorem that states that the midsegment of a triangle (midpoint to midpoint, in this case X and Y) is half of the base (in this case BC)

when applied to the triangle shown:

XY= 1/2 BC

substitute to get

XY=1/2*6.4

XY=3.2

perimeter of BCYX

=XY+YC+CB+BX

=3.2+4+6.4+5

=18.6cm

hope this helps

The answer is 18.6 cm

Really need help pls ty

Answers

Answer:

1: Yes, because 20 divided by 5 is 4, meaning that he would have 16 dollars left

2: They are at each exibit for 51 min

Hope this helps: :)

Bethany posts a lit selfie yo, and she receives 49 likes in the first 7 minutes. At this rate, how many likes will she have in 10 minutes?

Answers

Answer:

70 likes

Step-by-step explanation:

49 likes / 7 minutes = 7 likes / minute

10 minutes * 7 likes / minute = 70 likes / 10 minutes

Question 8 Tasha noticed that bags are not selling quite well. She reduced the original price of $300 by 20%. After, three months the bags were still not selling.She reduced the price again by 40%. A, What was the total percent of decrease? Show your work.​

Answers

Answer:

84% decrease

Step-by-step explanation:

100 - 80 = 20%

80% = 4/5

300 * 4/5 = 240

100 - 40 = 60%

60% = 3/5

240 * 3/5 = 48

48/300 = 4/25 = 16%

100 - 16 = 84%

Determine if the two triangles are congruent. If they are, state how you know

Answers

Yes they’re congruent as they have exactly the same angles and sides

1 7.26 × 0.22 =
2 17.92 × 0.64 =
3 7.65 × 0.85 =
4 36.20 ×0.05 =
5 31.85 ×0.91 =
please answer it cause my calculator is broken​

Answers

Answer:

1) 1.5972

2) 11.4688

3) 6.5025

4) 1.81

5) 28.9835

LOOK AT THE PICTURE ATTACHED AND HELP QUICKLLYYYYY PLZZZ!!!!

Answers

Answer: √490  

Step-by-step explanation:

       

Find the slope of the line that contains the following ordered pairs (4,2) (7,6.5)

Answers

Answer:

4.5/3 or 1.5

Step-by-step explanation:

slope formula: (y2-y1)/(x2-x1)

(6.5-2)/7-4)=4.5/3... you can further simplify to 1.5.

If
you
invest $100 in an index fund that earns an average annual rate of
return of 12.3% compounded monthly. You make a regular monthly
contributions of $25, how much will your investment be worth in 52 years?

Answers

Answer Interest rate = 12.3%

The compound interest formula is given by:

Where

A = Future amount

P = Present amount (Principal amount)

r = Interest rate in decimal form

n = No. of times compounded per year

t = time in years.

We can say that if:

Present amount = P

Future amount = 3P

r = 12.3/100 = 0.123

n = 1

t = ?

Substitute the values in the formula of compound interest:

Taking log on both sides.

Round off to nearest option

t ≅ 9 years

Tutorial
A line with a slope of 1 passes through the point (-2, -3). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y = x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1 , then

y = x + c ← is the partial equation

To find c substitute (- 2, - 3 ) into the partial equation

- 3 = - 2 + c ⇒ c = - 3 + 2 = - 1

y = x - 1 ← equation of line

2. Mark works as a consultant for a computer firm. His weekly income is $425. His
monthly expenses are $1,266. How much does he have left for variable expenses?
(Hint: There are four pay periods in one month.)

Answers

Hi there, I hope you understand my answer and that it is correct :)

So, First we multiply $425 by 4 because there are approximately 4 weeks in every month, so as shown  [tex]425*4=1,700[/tex]

____________________________________________________________

Next We subtract the answer, which we got to be 1,700 from 1266.  

 [tex]1700 - 1266=434[/tex]

____________________________________________________________

Answer : $434 left to spend :)

What number is the opposite of
3/11
O A. - 3/11
O B. -11/3
C. 11/3
O D. 1/3

Answers

The answer is C. If you flip the 3/11 then you get 11/3 if you don’t simplify. The simplified solution would be 3 2/3 but without simplification it’s 11/3.

Answer:

I believe the answer is A.


Jacob sells lemonade at a park. His cost to sell the lemonade is a one-time fee for the table,
plus a fixed cost to make each cup of lemonade. The line shows the total cost, y, for 3 cups
of lemonade.
v
Cost of Selling Lemonade
Use
y
A
y
60
50
40
Cost ($)
30
20
10
→ X
0
10
50
20
30
40
Number of Cups

Answers

Answer:y=12 x=00

Step-by-step explanation:

you can not

The required equation that represents the graph is y = x + 30

What is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

The standard linear equation is given as y = mx + b

Where,

m is the slope

b is the y-intercept

Using the coordinates (20, 50) and (40, 70)

Get the slope of the line:

m = 70-50/40-20

m = 20/20

m = 1

Since the line cuts the y-axis at y = 30, hence the y-intercept is 30.

Therefore, the Required equation that Shows the graph is y = x + 30

Learn more about linear equations here:

brainly.com/question/13763238

#SPJ2

Not sure where to start

Answers

you could start anywhere

| 2n+2g = 5
3x + 3y = 7
How many solutions does the system of equations above have?

Answers

Answer:

The following equation has no / zero solution.

Step-by-step explanation:

The slope of both the equations is proportional which means that the lines are parallel to each other. Thus, the given equation has no solutions.

PLEASE ANSWER!!!
Boris Drove to the mountains last week. There was heavy traffic on the way there, and the trip took 10 hours. When Boris drove home, there was no traffic and the trip only took seven hours. If his average rate was 18 mph faster on the trip home, how far away does Boris live from the mountains?

Answers

Answer:

Step-by-step explanation:

Answer:

Let +d+ = the one-way distance to the mountains in miles

Let +s+ = his speed going to the mountains in mi/hr

+s+%2B+27+ = his speed on the trip home in mi/hr

equation for going to the mountains:

(1) +d+=+s%2A7+

Step-by-step explanation:

I hope this helps mark as brainliest if correct

A bag contains 30 cookies: 9 vanilla, 9 chocolate, and 12 oatmeal. What is the probability that a chocolate is randomly selected? A).30 B).33 C).40 D).60

Answers

Answer:

D:60

Step-by-step explanation:

!!!!!!!!!HELP I need asnwer ASAP

Answers

The answers are in order.
1) 2, 8
2) 2, 1/2

⦁ Solve for x: 3|x – 7| = 15
SHOW WORK

Answers

[tex]3|x-7| = 15\\\\\implies |x-7| =\dfrac{15}3\\\\\implies |x -7| = 5\\\\\implies x -7 = 5 ~~ \text{or}~ x - 7 = -5\\\\\implies x = 12 ~~\text{or}~~ x = 2[/tex]

Ez way to do it use distribution 3x-21=15 add 21 to 15 =36
3x=36 divided by 3 both side x=12 x=2

Classify the Triangle by its sides and angles. 140° Right Scalene Right Isosceles Equilateral Obtuse Isosceles Acute Isosceles Obtuse scate Acute Scalene​

Answers

Answer: Obtuse Isosceles.

Explanation: Two angles are congruent, which means the triangle is isosceles. One angle is over 90°, which means the triangle is obtuse.

how much time should be allowed for a 392-km car trip if the car will be traveling at 120km/h

Answers

Answer:3hrs 16min

Step-by-step explanation:

392/120 = 49/15 hours = 3 hours + 4/15 hours = 3 hours + 4/15 x 60 min = 3 hours + 16 min

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