An angle measures 58° less than the measure of a complementary angle. What is the measure of each angle?

Answers

Answer 1

Answer: 74 degrees and 16 degrees

Step-by-step explanation:

A pair of complementary angles add up to 90 degrees.

If we know that one of the two angles is 58 degrees less than the other, we can solve the algebraic equation: x + (x-58) = 90, where (x) is the measure of the one angle, and (x-58) is the measure of the other angle.

x + x-58 = 90 is the same as 2x -58 = 90.

Adding 58 to both sides gives 2x = 148,

and dividing both sides by two gives x = 74.

We now know that one angle is 74 degrees, and the other angle is (74-58) degrees. This gives two angles of 74 and 16 degrees. They both add up to 90 degrees, so they are complementary angles.


Related Questions

please and thank you , 10 points​

Answers

i don’t know the answer but pls do not click the link the other person sent!! it is a scam

Decide if each sentence uses assonance or consonance. Then, drag each answer to the correct box.

Answers

Answer:

Assonance, Assonance, Consonance, Assonance - Last box can be seen as consonance because of -ea repetition but there is a constant repetition of the vowel -e.

Step-by-step explanation:

Answer:

The foam rolls across the lonely ocean. : Consonance  
I can't forget the letter that you sent last night: Consonance

In the hills, we stroll until nightfall, when the bells ring from the town hall. : Assonance
I went east, where the green beach trees lean against each other. : Assonance

Step-by-step explanation:

Hope this helps :D

For this problem use 3.14 for , and any non-integer answers should be entered as decimals rounded to the hundredths place. Lannon is designing a carnival game for a school event. She has a large wooden square and she needs to cut out a circle from the middle. The circumference of the circle that she plans to cut out is 56.52 inches. What is the radius

Answers

Answer:

Step-by-step explanation:

For this problem use 3.14 for , and any non-integer answers should be entered as decimals rounded to the hundredths place. Lannon is designing a carnival game for a school event. She has a large wooden square and she needs to cut out a circle from the middle. The circumference of the circle that she plans to cut out is 56.52 inches. What is the radius

The formula for circumference of a circle = 2πr

Circumference = 56.52 inches

r = Circumference/2π

r = 56.52/2π

Cards in a pack are black or red in the ratio
black: red = 2:5
What fraction of the cards are red?

Answers

1/3 fraction of the cards is red

what times twelve is exactly 30
the answer is most likely a mixed number​

Answers

Answer:

2.5 or 2 and 1/2

Step-by-step explanation:

30/12 = 2.5

There are two wholes that fit in 30 with a remainder of half of a whole.

2.5 translates to 2 and 1/2

Answer:

Hello! answer: 2½

Step-by-step explanation:

Assuming you mean mixed number as in fraction I did 30 ÷ 12 = 2.5 and converted it to a mixed number and since 2½ × 12 = 30 the answer is 2½ Hope that helps!

help.
step by step please
no links i will report :)

Answers

Answer: 2 1/13

Step-by-step explanation: keep change flip. keep 9/13 and then change, so you multiply 9/13x3/1 which is equal to 27/13 which is 2 1/3

Which of the following equations is used to calculate the probability of event A happening, given that event B has occurred?

Answers

Answer:

B

Step-by-step explanation:

Not much to explain

*LOOK AT PICTURE FOR QUESTION*

F) 20.5 in

G) 14.74 in

H) 9.3 in

J) 10.1 in

Answers

I’m Pretty sure it’s g

a rectangle has sides of length 2 millimeters and 8.1 millimeters. What is the perimeter?​

Answers

Answer:

20.2 mm.

Step-by-step explanation:

2*2 + 2*8.1

= 4 + 16.2

= 20.2 mm.

please help me asap im so confused ​

Answers

Answer:

RPT = 208

Step-by-step explanation:

Arc ST = 97                            Given

Arc RP = 180 - 97                   Straight line

Arc RP = 83

Arc PT = 125                          Given

Arc RPT = 125 + 83               Add the two arcs together.

Arc RPT = 208

perry bought 5 nectarines for $4. how many nectarines can amanda buy if she has 16$

Answers

Amanda can buy 20 nectarines with $16
Amanda buys 20 with $16

In ΔOPQ, q = 6.5 inches, o = 8.6 inches and ∠P=55°. Find ∠Q, to the nearest 10th of an degree.

Answers

Answer:

∠Q = 35.5°

Step-by-step explanation:

We are given;

q = 6.5 inches

o = 8.6 inches

∠P = 55°

Let's first use cosine rule to find p.

p² = q² + o² - 2qo cos P

Plugging in the relevant values;

p² = 6.5² + 8.6² - (2 × 6.5 × 8.6 × cos 55)

p² = 42.25 + 73.96 - 32.0629

p² = 84.1471

p = √84.1471

p = 9.17 inches

Using sine rule, we can find ∠Q;

p/sin P = q/sin Q

sin Q = (q•sinP)/p

sin Q = (6.5 × sin 55)/9.17

sin Q = 0.5806

Q = sin^(-1) 0.5806

Q ≈ 35.5°

Answer:

47.5  

Step-by-step explanation:

From delta math

Question 3
A bucket contains 4 red marbles, 10 blue marbles, 7 yellow marbles, and 5 green marbles.
What is the probability that you will get a blue, then a yellow with replacement?
a: 17/52
b: 10.796
c: 35/388
d: 10/26

Answers

It looks like it could be c but I’m not sure

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 :))

Express 0.74 as a percentage ​

Answers

Answer:

74%

Step-by-step explanation:

0.74 × 100 = 74%

Answer:

74% (answer).

Step-by-step explanation:

To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 0.74 × 100 =74%

Helpppppppppp please....

Answers

The answer is 8! 48 divided by 8 =6

Question 1 of 10
Solve the proportion below.
-X/45=7/9

x=
O A. 5
B. 39
C. 35
O D. 43

Answers

Answer:

B. 35


Explaining:

-X/45 = 7/9

7/9= 0.777777777777778

-X/45 = 0.777777777777778

45 x 0.777777777777778 = 35

-X = 35

need help please !!!!!!!!!!!!​

Answers

Answer:

160,000,000,000,000

Step-by-step explanation:

M= 200,000,000,000,000

P= $40,000,000,000,000

200,000,000,000,000 - 40,000,000,000,000=

160,000,000,000,000

All you have to do is do 10x10 14/13 times or cause it's 10 just add 14/13 zeros

Answer:

(2×10^14)/(4×10^13) = 5

Star M is 5 times farther from earth than Star P.

Edward took a survey of his classmates to see how many pets each student has. The dot plot shows the results of his survey ll. 0 1 2 3 4 Number of Pets Part A How many people did Edward survey? Part B What is the mean number of pets?​

Answers

Answer:

i. 5 people

ii. Mean number of pets = 2

Step-by-step explanation:

i. From the information given in the question, the number of people surveyed by Edward is 5.

The first person has no pet, the second has 1 pet, the third has 2 pets, the fourth has 3 pets and the fifth has 4 pets.

ii. The mean number of pets is the average number of pets among the people.

The mean number of pets = [tex]\frac{sum of the number of pets}{number of people}[/tex]

                                     = [tex]\frac{0 + 1 + 2 + 3 + 4}{5}[/tex]

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

mean number of pets  = 2

The mean number of pets is 2.

A toy company is packaging its toy to be shipped. Each small toy is placed inside a cube- shaped box with side lengths of 1/8 in. These smaller boxes are then placed into a larger box with dimensions of 12in. X 4 1/2in. X 3 1/2 in.

Answers

Answer:

1512

189 in³

Step-by-step explanation:

Here is the complete question

A toy company is packaging its toys to be shipped. Each small toy is placed inside a cube-shaped box with side lengths of 1/2 in. These smaller boxes are then placed into a larger box with dimensions of 12 in. × 4 1/2 in. × 3 1/2 in.

a. What is the greatest number of small toy boxes that can be packed into the larger box for shipping?

b. Use the number of small toy boxes that can be shipped in the larger box to help determine the volume of the shipping box

A. greatest number of small toy boxes that can be packed into the larger box for shipping = volume of larger box / volume of smaller box

volume of larger box = length x width x height = 12 in. × 4 1/2 in. × 3 1/2 in = 189 in³

volume of smaller box = volume of a cube = side length³ = [tex]\frac{1}{2}[/tex]³ = 1/8 in³

189 ÷[tex]\frac{1}{8}[/tex] = 189 x = 1512

b. 1/8 x 1512 = 189 in^3

If y represents a student's age, which inequality shows that you must be older than 14 to
try out for the basketball team?
A y < 14
B. y > 14
c.y > 14
D. 14 = y

Answers

Answer:

B. y > 14

y which is students age is greater than 14

62X + 310 =
2542 Find X

Answers

Answer:

36

Step-by-step explanation:

62x + 310 = 2542

62x = 2232

x = 36

Answer:

36

Step-by-step explanation:

62x + 310 = 2542

Subtract 310 from both sides

62x = 2,232

Then Divide by 62

x = 36

Enjoy.

find y when x=-6 if y =15 when x =-5

Answers

Answer:

y = 18

Step-by-step explanation:

15/-5 = y/-6

cross-multiply:

-5y = -90

y = 18

The side lengths of a 45-45-90 triangle are in the ratio 1 : 1 : SR2 what is tan 45?
SR= square root

Answers

Answer:

Step-by-step explanation:

tan 45=1/1=1

Tan Theta is one of the trigonometric ratios which is equal to opposite / Adjacent in a triangle, the value of tan45 is 1.

What is the 45-45-90 triangle?

The 45-45-90 triangle is also an isosceles triangle, which means its two legs are equal in length.

Tan Theta is one of the trigonometric ratios which is equal to opposite / Adjacent in a triangle.

The side lengths of a 45-45-90 triangle are in the ratio 1: 1: [tex]\sqrt{2}[/tex].

The value of tan45 is given by the following formula;

[tex]\rm Tan 45 = \dfrac{Perpendicular}{Base}\\\\Tan45=\dfrac{1}{1}\\\\Tan45=1[/tex]

Hence, the value of tan45 is 1.

Learn more about trigonometry here;

https://brainly.com/question/17016719

#SPJ2

Is the relationship shown by the data linear if so model the data with an equation

Answers

It’s linear, option 3

!!!!NEED HELP ASAP!!!! NO LINKS OR REPORT

Answers

Answer:

Step-by-step explanation:

Infinitely many solutions means that one side of the equals sign is exactly the same as the other side. We can achieve that easily by multiplying through the parenthesis and then combining like terms.

2(6x + 4) - 5x is 12x + 8 - 5x which simplifies down to 7x + 8. That is what goes on the right side of your equation.

27 miles per gallon 432 miles takes how many gallons

Answers

Answer:

16

Step-by-step explanation:

432/27=16

Need help ASAP! What is this

Answers

180 - 64= 116

116 divided by 4 = 29

x=29

Have a good day:>

Answer:

x = 29

Step-by-step explanation:

Supplementary angles add up to 180 degrees:

4x+64 = 180

Subtract 64 from both sides:

4x+64-64 = 180-64

4x = 116

Divide both sides by 4:

4x/4 = 116/4

x = 29

HELP DUE IN 15 MINS!

x=??

Answers

Answer:

7

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Use the Intersecting chord theorem;

Rule: (CE) * (EB) = (AE) * (ED)

CE = x

EB = 15

AE = 9

ED = 10

=> (x) (15) = (9) (10)

15x = 90

Now Divide each side with 15

=> x = 6

Hope this helps!

Sadie is saving her money to buy a new pony, which costs $600. She has already saved $75. She earns $50 per week working at the stables and wonders how many weeks it will take to earn enough for a pony of her own. How many weeks will Sadie have to work to earn enough to buy the pony?
A) 8 weeks
B) 10 weeks
C) 11 weeks
D) 12 weeks

Answers

Answer: C

Step-by-step explanation:

My answer is correct because, if Sadie gets 50 per week then we can just multiply it by 10 and that equals 500. But since we have 75 dollars already we cant multilpy it by 11 but if we times it by 10.5 that equals 525 and if we add 75 dollars that equals 600. but since we get the money every week we have to round that and that would equal 11 weeks.

#[tex]AnimePower[/tex]

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