Two angles are complementary. The larger one is 3 times the measure of the
smaller one. What is the measure of the smaller angle in degrees?
Type just the numerical value.

Answers

Answer 1

Answer: 22.5°

Step-by-step explanation:

Complementary angles are the angles that when we add them together, they're equal to 90°.

Let the smaller angle be represented by x.

Then, the larger one will be 3 × x = 3x

We then add both angles together and equate them to 90°. Therefore,

x + 3x = 90°

4x = 90°

x = 90/4

x = 22.5°

The smaller angle is 22.5°


Related Questions

Find the values of x and y that make these triangles congruent by the HL Theorem

Answers

Answer:

number 3

because because because because because because because because because

Step-by-step explanation:

because because because because

There are 4 such boxes containing toffee and mints Mary take 8 toffees and 26 mints from the boxes what is the ratio of the number of toffees to the number of mints

Answers

Answer:

4:13

Step-by-step explanation:

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

8 : 26

divide each number by 2

4 : 13

Which choice is equivalent to 3^2 x 3-^3

Answers

Answer:

1/3 or 0.3...

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:



Joseph has only nickels and quarters in his piggy bank. He has 62 coins total for a
combined value of $11.10. How many nickels does Joseph have?

Answers

9514 1404 393

Answer:

  22 nickels

Step-by-step explanation:

Let n represent the number of nickels in Joseph's piggy bank. Then the number of quarters is 62-n. The total value is ...

  0.05n + 0.25(62 -n) = 11.10

  -0.20n + 15.50 = 11.10 . . . simplify

  4.40 = 0.20n . . . . . . . . . . add 0.20n-11.10

  4.40/0.20 = n = 22

Joseph has 22 nickels in his piggy bank.

PLZ HELPPP a^2+b^2=c^2 i have the photo attached below and if you know this do you think you could help me with the rest of them as well? I have to answer 5 questions..

Answers

Answer: 7.5

Step-by-step explanation:

a²+b²=c²

C is the hypotenuse

a²+5²=9²

a²=81-25

a²=56

a=7.5

Answer:

wait so is this like uhmm pythagorean theorem?

Step-by-step explanation:

the square root of 5 and 9 is 25 and 81 add those together and you'll get 106, I'm not sure if you square root the 106 though but if you do its 10.295630141

10) A circle has center at (-5, 3) and passes through the point (-1, 3).
a) Give the radius of the circle.

b) Give the equation of the circle described.

Answers

a) radius= 4 units

b) (x+5)^2+(y-3)^2=4^2

The distance between the x values in the center point and a point included in the graph will give you the radius.
The x values are 4 units apart (-5 to -1) so your radius is 4 units

Circle formula:
(x-h)^2+(y-k)^2=r^2
Where (h,k) is the center point and r is the radius

Replace h with -5, k with 3, and r with 4 to get equation listed in answer above

Hope this helps!!

The points (0, 0), (–3, 3), and (0, 6) are three vertices of a square. What are the coordinates of the fourth vertex of the square?

Answers

Answer:

(3,3)

Step-by-step explanation:

Solve the inequality a+4/2>16

Answers

Answer:

a > 14

Step-by-step explanation:

I hope this helps!

The solution to the inequality expression a + 4/2 > 16 is a > 14

How to solve the inequality expression?

The inequality expression is given as:

a + 4/2 > 16

Divide 4 by 2

a + 2 > 16

Subtract 2 from both sides

a > 14

Hence, the solution to the inequality expression a + 4/2 > 16 is a > 14

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35 POINTS!
Help plz...
Match each expression with the equivalent expanded expression. -5 (2x + 3/5) x + 1.5 0.5 (2r + 3) -20 + 3 2 (4x-2) 8x - 4 1/3 (9 +81) 30 -3 (2/3x - 1) -10x - 3​

Answers

Answer:

can you give us a link

Step-by-step explanation:

Ayesha, Laurel, Gemma, Reid, Emma, Gita, and Maas write their names on small pieces of paper and put them into a hat. A name is pulled from the hat without looking. Use a fraction to describe the theoretical probability of each event. Then order the events from most likely to least likely. The name drawn starts with a "G." The name drawn does not start with a vowel. The name drawn ends with an "a." The name drawn contains an "e." The name drawn contains a "z."​

Answers

Answer:

Emma and Maas and other people

giving brainliest to whoever explains best. don't answer if you don't speak english well. don't answer if you're 9 years old. don't answer if you don't understand the subject. don't answer anything other than QUESTION C. now stop wasting my points i beg

Answers

Answer:

Gillmans

Step-by-step explanation:

I feel like gillmans class did better cuz their class didnt have anyone get a score less than 60 but mr athens class had people who got below 50. Although athens class has people over 95 the most were 60-90 while gillmans was 70-90

Katie buys several pairs of socks for $3 per pair.
Which equation represents Katie's total cost, c, when she buys s pairs of socks and why?

Answers

If she buys 20 pairs of socks and they are $3 each your answer would be $60!!!

:) A linear equation written in the form Ax + By = C is in​

Answers

Answer:

Standard Form

Step-by-step explanation:

3) A drawer contains 10 blue pens, and 10 red pens. Without looking, Mrs.
Stanton is going to take one pen from a drawer, use it, and then put it back in
the drawer. Then he is going to take another pen from the drawer to use. What
is the probability of Mrs. Stanton taking a red pen first and then taking a blue
pen? P(red, then blue)?

Answers

Answer:

25%

it's 50-50 for drawing a certain color pen each time.

so, the odds of drawing a red pen on the first draw is 50%

the odds of drawing a blue pen on the second draw is also 50%

so, to to *both* in order is 50% of 50%- or 25%

7m
6m
3m

Find rev surface area of each prism

Answers

Answer:

126m

Step-by-step explanation:

7 x 6 x 3

A company packages their product in two sizes of cylinders. Each dimension of the larger finder
is twice the size of the corresponding dimension of the smaller Cylinder
20
2h
Based on this information, which of the following statements is true?
A. The volume of the larger cylinder is 2 times the volume of the smaller cylinder.
B. The volume of the larger cylinder is 4 times the volume of the smaller cylinder.
C. The volume of the larger cylinder is 8 times the volume of the smaller cylinder.
D. The volume of the larger cylinder is 6 times the volume of the smaller cylinder.

Answers

The true statement is The volume of the larger cylinder is 8 times the volume of the smaller cylinder.

The correct option is (C)

What is Volume of cylinder?

The volume of cylinder is, V=  πr²h.

Volume of large cylinder,

= πr²h

= πd²(2h)

= 2hπd²

Volume of large cylinder,

= πr²h

= π(d/2)²(h)

= πd²h/4

= 2πd²h/8

Hence, The volume of the larger cylinder is 8 times the volume of the smaller cylinder.

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Help help me please ASAP

Answers

Answer:

20

Step-by-step explanation:

b1+b2÷2×h

6+2=8

8÷2=4

4×5=20

Answer:

20 in²

Step-by-step explanation:

Area of trapezoid = (1/2)*(sum of parallel sides)*height

Height given=5 in

Sum of parallel sides=b1+b2=6 in+2 in=8 in

Area=(1/2)*8*5=20 in²

What is the equation for nth term of the geometric sequence-2,8,-32,...?

Answers

Answer:

The last one

Step-by-step explanation:

each following number in the sequence is multiplied by -4, and the first number is -2!

Identify the property shown.
5 + 3 = 3 + 5

Answers

Answer:

Communitive property

Step-by-step explanation:

It's the same if we switch both numbers around

5+3=8

3+5=8

Which graph best represents only the solutions to -3a + 1/2 <=8 hurry pleaseeeeee

Answers

Answer:

a≥-5/2

Step-by-step explanation:

Beverly makes wreaths to sell for the fall season. She picked 430 pine cones from the wooded area near her house. If she uses 23 pine cones per wreath, how many wreaths can she make?

Answers

Answer:

18.7 wreaths

Step-by-step explanation:

Beverly makes wreaths to sell for the fall season. She picked 430 pine cones from the wooded area near her house. If she uses 23 pine cones per wreath, how many wreaths can she make?

From the above question:

23 pine cones = 1 wreath

430 pine cones = x wreaths

Cross Multiply

23 pine cones × x wreaths = 430 pine cones × 1 wreath

x wreaths = 430 pine cones × 1 wreath/23 pine cones

x wreaths = 18.695652174 wreaths

Approximately = 18.7 wreaths

Which values for A and B will create infinitely many solutions for this system of equations? A x minus y = 8. 2 x + y = B.

Answers

Answer:

A = -2

B = -8

Step-by-step explanation:

A system of equations has infinitely many solutions when both equations are exactly the same equation, then both graphs intersect in infinitely many points, meaning that the system has infinitely many solutions.

Then if we have the equations:

A*x- y = 8

2*x + y = B

We want to find A and B such that both equations are exactly the same thing.

Notice that in the first one we have negative y, while in the second we have positive y.

Then A needs to be minus the coefficient that multiplies x in the other equation, this means that:

A = -2

And B needs to be minus the corresponding therm in the other equation, then B = -8.

Then the system becomes:

-2*x - y = 8

2*x + y = -8

We can see that one equation is -1 times the other, so if we write both of them as linear equations in the slope-intercept form, we get:

y = -8 - 2*x

y = -8 - 2*x

So both equations are exactly the same thing, meaning that we have infinitely many solutions.

Calculate the area of triangles using two different methods. figures are now drawn to scale.

Answers

Answer:

the formula is base times hight divided by two so use the formula to sovle the problem

Step-by-step explanation:

The area of the triangles given are 52.5 feet² and 369 inches² respectively.

What is Area?

Area of a two dimensional shape is the total region which is bounded by the object's shape.

The basic formula to calculate the area of a triangle is,

Area = [tex]\frac{1}{2}[/tex] × base × height

1. Base = 12 + 3 = 15 feet

Altitude/height = 7 feet

Area = [tex]\frac{1}{2}[/tex] × 15 × 7 = 52.5 feet²

2. Calculating the area of two separate triangles and then adding it,

Area = ([tex]\frac{1}{2}[/tex] × 32 × 18) + ([tex]\frac{1}{2}[/tex] × 9 × 18)

        = 288 + 81

        = 369 inches²

Hence the area of the two figures is 52.5 feet² and 369 inches² respectively.

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2. You have $500 to invest and have several options available to you.p a. Your banker shows you the graph at right to explain what you can earn if you invest with him. Does this graph represent simple or compound interest? How can you tell? What is the interest rate? Write an equation to represent how much money you would have as time passes. Let x represent time in years.​

Answers

Answer:

replace x with number then multiply or divide

Step-by-step explanation:

Juan has blood type A, Lilly has blood type AB, and Aaron has blood type O. Is this relation a function? Explain.

This relation is a function. Each name in the domain corresponds to exactly two elements in the range of blood types.

This relation is not a function. Each name in The Domain corresponds to exactly two elements in the range of blood types.

This relation is a function. Each name in The Domain corresponds to exactly one element in the range of blood types.

This relation is not a function. Each name in The Domain corresponds to exactly one element in the range of blood types. ​

Answers

Answer:

This relation is a function

3rd answer

HELPPPPP
What is the initial value of the exponential function
shown on the graph?
ОО
0 1
O 2
O 4

Answers

Answer:

4 i think but im not sure

Step-by-step explanation:

sorry for being late

The initial value of the exponential function is 2.

What are Exponential Functions?

Exponential functions are functions where the independent variable, x is in the exponent.

Given is the graph of the exponential function.

The initial value of the exponential function is the value of the function  when the value of the independent variable is 0.

The general form of exponential function is y = abˣ

When x = 0, y = a, which is the initial value.

Here, when x = 0, the graph touches the Y axis.

y = 2

Hence the initial value is 2.

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what's
[tex]12 + 24 \div 6[/tex]

Answers

12+24=36
36 divide by 6 is 6
12+24 divided by 6 is 6

When n = 3, which of the expressions below will be greater than 50? Select all that apply. A) (8n2÷9)⋅7 B) 2n2⋅3 –4n C) 4n2–6n+12 D) 7n+(n⋅8)

Answers

Answer:

A

Step-by-step explanation:

a)

[tex](8(3)^{2} / 9) * 7[/tex]

8(9) / 9 = 8 x 7 = 56

b)

[tex]2(3)^{2} * 3 - 4(3)[/tex]

2(9) * 3 - 12

18 * 3 = 54 - 12 = 42

c)

[tex]4(3)^{2} - 6(3) + 12[/tex]

4(9) - 18 + 12

36 - 18 = 18 + 12 = 30

d)

[tex]7(3) + (3 * 8)[/tex]

21 + 24 = 45


A rectangle has a perimeter of 24 ft. Following a dilation, the new perimeter of the
rectangle is 36 ft.
Determine the scale factor of the dilation.

Answers

Answer:

it has increased by 1/2 so the scale factor would either be 3/2 or 1.5 or something

Step-by-step explanation:

The marked price of a stove was $520. A worker bought the stove on hire purchase by making a down payment of $100, and twelve monthly payments of $40 each.
How much could she have saved if she had bought the stove for the marked price?


A) $40
B) $60
C) $100
D) $140​

Answers

B) $60 is the answer
Other Questions
THE COLD WAR1. How did the U.S. and Soviet Union view each other after WWII? Why?2. What were some things they competed for? (List all that you can)3. How did the competition between these countries affect the lives of citizens in each nation?During World War II, the United States and the Soviet Union fought together as allies against the Axis powers. However, the relationship between the two nations was tense. Americans did not support Soviet communism and were concerned about how Russian dictator Joseph Stalin ruled his country with total government control. He sent thousands of people who didnt agree with him to labor camps which resulted in death and starvation for an estimated 20 million people. The Soviets resented the Americans as they did not treat them as part of the international community due to their delayed entry into World War II. After the war ended, these criticisms developed into a strong sense of mutual distrust and anger. Postwar Soviet expansionism in Eastern Europe developed American fears of a Soviet plan to control the world. The Americans were seen as aggressive by the Soviets, building weapons and relations with other countries.By the time World War II ended, most American officials agreed that the best defense against the Soviets was a strategy called containment. President Harry Truman stated, It must be the policy of the United States, to support free peoples who are resisting attempted subjugation (takeover/conquest) by outside pressures. This way of thinking would shape American foreign policy for the next four decades.The containment strategy also provided the motivation for building up weapons in the United States. In 1950, the National Security Council Report recommended that the U.S. use military force to contain communist expansionism anywhere it seemed to be occurring. This greatly increased military spending.In particular, American officials encouraged the development of atomic weapons like the ones that had ended World War II. This began a deadly arms race. In 1949, the Soviets tested an atom bomb of their own. In response, President Truman announced that the United States would build an even more destructive atomic weapon: the hydrogen bomb. As both countries tested their new bombs, the earth suffered as poisonous radioactive waste spread into the atmosphere.The ever-present threat of nuclear annihilation had a great impact on American domestic life as well. People built bomb shelters in their backyards and practiced attack drills in schools and other public places. In these and other ways, the Cold War was in Americans everyday lives.Space exploration served as another area for Cold War competition. In 1957, the Soviets launched Sputnik (Russian for traveler), the worlds first artificial satellite and the first man-made object to be placed into the Earths orbit. The United States felt pressure to catch up. This missile appeared to be capable of delivering a nuclear hit into U.S. air space.In 1958, the U.S. launched its own satellite, Explorer I, in what came to be known as the Space Race. The National Aeronautics and Space Administration (NASA), a federal agency dedicated to space exploration.1. How did the U.S. and Soviet Union view each other after WWII? Why?2. What were some things they competed for? (List all that you can)3. How did the competition between these countries affect the lives of citizens in each nation? Which decimal is equivalent to 1/3 Using the dimensions shown, you could create a rectangular prism. Caculate the surface area for the rectangular prism. A 30m2 b 56m2 c 60m2 d 112m2 Help. 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