Recall that two angles are complementary if the sum of their measures is 90. Find the measures of two complementary angles if one angle is 15 degree more than two times the other angle.

Answers

Answer 1

Answer: 25° and 65°

Step-by-step explanation:

Let the smaller angle of the complementary angle be represented by x.

Since the other angle is 15 degree more than two times the other angle, this will be:

= (2 × x) + 15°

= 2x + 15°.

Then we add both angles together and equate them to 90° and this will be:

x + 2x + 15° = 90°

3x + 15° = 90°

3x = 90° - 15°

3x = 75°

x = 75°/3

x = 25°

Then the other angle will be:

= 2x + 15°

= (2 × 25°) + 15°

= 50° + 15°

= 65°

Therefore, the angles are 25° and 65°.


Related Questions

Find the circumference of the circle. Use 3.14 for pi. Use the inches squared for the
answer. (circle is 9 inches)

Answers

Answer:

the answer is 30.975

Step-by-step explanation:

... i haven't learned this so i cannot give you an explanation. sorry but i hope this helps :))

find the surface area

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Answer:

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Step-by-step explanation:

PLS HELP :) Which expression is equivalent to c+c-10?
2c−10
−8c
c−9
12c

Answers

Answer:

2c - 10

Step-by-step explanation:

When you combine the like terms of the expression c+c-10, you get 2c-10.

Therefore, 2c - 10 is equivalent to c + c - 10.

c + c - 10 → 2c - 10.

When Theo was born his uncle put $1000 in a college savings account for him, at 4%
interest
- Develop a function to show the amount in the savings account after x years
- How much money will be in the account when Theo is 18 and ready for college?

Answers

Answer:

A= P(1+r)^x

$2025

Step-by-step explanation:

Given data

Principal=  $1000

Rate= 4%

1. - Develop a function to show the amount in the savings account after x years

Time= x years

The function is

A= P(1+r)^x

2.  How much money will be in the account when Theo is 18 and ready for college?

Time= 18 years

A= 1000(1+0.04)^18

A=1000(1.04)^18

A=1000*2.025

A=$2025

A taste test asks people from Texas and California which pasta they prefer,
brand A or brand B. This table shows the results.
A person is randomly selected from those tested.
Are being from California and preferring brand B independent events? Why or why not?

Answers

Option (C) Yes, they are independent because P(California) is 0.55 and P(California | brand B) is 0.55 is the correct answer.

What is probability?

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

Total number of people in Texas = 275

Total number of people in California = 150

Total number of people in California and preferring brand B = 54

Probability of people in California,

P(California) = Number of people in California / Total number of people

⇒ [tex]\frac{150}{275}[/tex]

⇒ [tex]0.54545[/tex] ≈ [tex]0.55[/tex]

Probability of people in California and preferring brand B

P(California | brand B) = Number of people in California and preferred brand B / Number of people preferred brand B

⇒ [tex]\frac{54}{99}[/tex]

⇒ [tex]0.54545[/tex] ≈ [tex]0.55[/tex]

In the data provided, each event is not dependent on other events.

Thus they are independent events.

Hence we can conclude that option (C) Yes, they are independent because P(California) is 0.55 and P(California | brand B) is 0.55 is the correct answer.

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Please just show work on how to solve!

Answers

Answer:

(5,7)

Step-by-step explanation:

how many sides do tahe polygon have?

Answers

Triangle - 3 Sides         Square - 4 Sides

Pentagon - 5 Sides Hexagon - 6 sides

Heptagon - 7 Sides Octagon - 8 Sides

Nonagon - 9 Sides Decagon - 10 Sides

Answer:

Triangle 3

Quadrilateral 4

Pentagon 5

Hexagon 6

4. The dimensions of a rectangle are multiplied by a factor of 2 to form a new rectangle. Which of the following best describes the relationship between the perimeter of the old rectangle and the perimeter of the new rectangle? a. The perimeter of the new rectangle is half the original rectangle. b. The perimeter of the new rectangle is twice the original rectangle. c. The perimeter of the new rectangle is four times the original rectangle.d. The perimeter of the new rectangle is one-fourth the original rectangle.

Answers

The answer is B because 4 is a factor of 2

Find the function value. f(-2) if f(x) = -x + 31

Answers

Answer:

33

Step-by-step explanation:

In f(x) = -x + 31 replace each instance of x with -2:

f(-2) = -(-2) + 31 = 33

Miss David's birthday is in April, and she is going to have a party. She is looking to buy a bag of decorations. Each bag has two different types of decorations: balloons and streamers. The first bag has 11 balloons and 6 streamers. The second bag has 15 balloons and 4 streamers. The last bag has 6 balloons and 12 streamers. Bag 1 costs $91, bag 2 costs $99, and bag 3 costs $102. How much does each type of decoration cost?

Answers

Answer:

b = $5

s = $6

Step-by-step explanation:

this can be solved using simultaneous equation

s = streamers

b = balloons

either of the 3 equations can be used to determine the price of the items

11b + 6s = 91 equation 1

15b + 4s = 99 equation 2

multiply equation 1 by 4 and equation 2 by 6

44b + 24s = 364 eqn 3

90b + 24s = 594 eqn 4

subtract equation 3 from 4

230 = 46b

b = 5

substitute for b in eqn 1

55 + 6s = 91

s = 6

help please it would be very much appreciated!!!!!!
thank you

Answers

Should be a!

26^2 - 22^2 = 192, take the sqrt of that C:
It could help the numbers, by 1,2,3. Subtract the 2 from each side and that’s will be your answer.

Aaron needs to hire a waiter. Waiter A is offering his services for an initial $20 in addition to $4.25 per hour. Waitress B is offering her services for an initial $23 in addition to $3.25 per hour. When will the two waiters charge the same amount of money?

At _ hours, both waiters will charge the same amount, $_.

Answers

In 7 hours it will be 92 dollars

Help me out please??

Answers

Rate of change is given in Rise over run or Y/X
The rate of change would be 3/2
The correct answer is 3/2

I didn't mean to press that answer but please help.

Answers

Answer:

D

Step-by-step explanation:

There are FOUR equal sides so we eliminate some of the shapes that dont have equal sides.

We need a FOUR sided shape so we eliminate all the shapes that DONT have 4 sides.

We are now left with:

Square and rhombus.

BRAINLIEST IF CORRECT, NO LINKS OR SPAM ALLOWED

Answers

Answer:

b: 100

c:yes

d: younger, more, small/younger

Step-by-step explanation:

AkkakamakjakakaijJaja

Answers

Answer:

B

Step-by-step explanation:

I first combined like terms. next I subtracted the x on the left from both sides. Lastly, I subtracted 3 from both sides. hope this helped!

Which of the relations given by the following sets of ordered pairs is not a function?

HELPPPPP :((((( IF YOU SEND LINK I WILL REPORT YOU

Answers

Answer:

Hi, there your answer will be C.

Step-by-step explanation:

The reason why is because X(Input) can not be repeated the same

for example the coordiante( 1,3) and (1,4). See there are two ones which make them not function

Also, if you're having trouble with Functions and nonfunctions

REMEMBER THS

Function: X and y has to be separarte  and can't have the same X

NON-FUNCTION- WHEN X REPEATS ITSELF

Hope this helps :)

hello please help i’ll give brainliest

Answers

Answer:

b

Step-by-step explanation: it the only one make scence

Answer:

Abiotic would be the correct answer!

Hope this helps!

The ratio of footballs to total pieces of equipment is... and we have 2 baseballs and 6 footballs

Answers

Answer:

1:3 ............... ......

HELP PLEASE Find the slope of the linear model​

Answers

Answer:

Take two values

31.5-27/1= 4.5

Hence slope is 4.5x

which triangles are similar to triangle FDG? Help me asap​

Answers

Answer:

ECB

Step-by-step explanation:

they are both similar

They are both similar

(MGSE9-12.G.SRT.8) Find the measure of the angle to the nearest degree. co 19 ? 38 A) 30° B) 27° C) 63° D) 60°​

Answers

Answer:

b

Step-by-step explanation:

For each triangle find the missing length. Around your answer to the nearest tenth. Then find the area and the perimeter.

Answers

Step-by-step explanation:

I wish I could help but I can't see clearly

What is the vertex of the function f(x) = x2 + 12x?
O (-6, -36)
O (-6, 0)
O (6,0)
O (6, -36)

Answers

Answer:

A. -6,-36

Step-by-step explanation:

Right on EDG 2021.

The vertex of the function f(x) = x² + 12x is (-6, -36).

What are Quadratic Functions?

Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.

The general form of a quadratic function is f(x) = ax² + b x + c.

Given is a quadratic function,

f(x) = x² + 12x

Vertex of a quadratic function of the form f(x) = ax² + bx + c is the point (-b/2a, f(-b/2a))

Here, a = 1, b = 12 and c = 0

-b/2a = -12 / 2 = -6

f(-b/2a) = f(-6)

            = (-6)² + (12 × -6)

            = 36 - 72

            = -36

Hence the vertex of the given function is (-6, -36).

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x-7y=4,5x-4y=-11 solve system of equations by substitution

Answers

multiply 1st eqn by 5

so it can be canceled and again u get value of y will be 1 and sagain put tha value of y in eqn 1 so that u can get the value of x

translate the sentence into an equation.

six more than the product of a number and 3 equals 4


use the variable x for the unknown number. ​

Answers

Answer:

6 + 3x = 4

Step-by-step explanation:

6 + 3x = 4

More means addition: 6 +

Product means multiplication: 3 × x = 3x

Equals means an equal sign: = 4

To solve for x, isolate the variable:

6 + 3x = 4

3x = -2

x = -2/3

Terrence buys an apartment for 122,000. Five years later he sells the apartment for. 156,000 he had to pay a 5.2% comission fee on the final sale price of the house

Answers

Step-by-step explanation:

[tex] \frac{5.2}{100} \times 156000 \\ = 8112commission[/tex]

Carla and Deserea bought a dozen cookies from the bakery. Carla ate ¼ of the cookies and Deserea ate ½ of the cookies. Who ate the most?

Answers

Answer:

Deserea ate more

Step-by-step explanation:

One dozen equals 12

Carla ate 1/4 of it

1/4×12/1=3

Carla ate 3 cookies

Deserea ate 1/2

1/2×12/1=6

Deserea ate 6

6 is greater than 3 so Deserea ate more

Natasha walked from the library to the grocery store then to her house. The diagram shows the top of the locations of these three places and their distances from each other.
Which measurement is closest distance in miles from Natasha’s house to the library?
A. 2.6 mi
B. 1.9 mi
C. 1.4 mi
D. 2.3 mi
PLEASE HELP!!!!

Answers

Answer:
B
Step-by-step explanation:
a^2+b^2=c^2
1.7^2+0.9^2=x^2
2.89+0.81=x^2
3.7=x^2
x=about 1.9

Find the constant of direct variation when x = 3 and y = -12​

Answers

Answer:

constant = b = -15

Step-by-step explanation:

3 + b = -12

b = -12 - 3

b = -15

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