What are the measures of two complementary angles if the difference in their measures is 18?

Answers

Answer 1
Complementary angles = 90°
x= angle 1
(90-x)= angle 2

Subtract the two angles to get the difference between them (18°).

(90-x) - x= 18
combine like terms

90 - 2x= 18
subtract 90 from both sides

-2x= -72
divide both sides by -2

x= 36° angle 1


Substitute answer in to find angle 2:
=90 - x
=90 - 36
=54° angle 2

Hope this helps! :)


Related Questions

a) You want to buy a new sweatshirt. They normally cost 28.80, but you found one that's on sale for 40% off its normal price. How much will you pay, not including tax?


1) $16.18


2) $17.28


3) $18.38


4) $19.48

b) If you get 17 out of 20 questions correct on this test, what percentage will you get correct?

1) 100%

2) 95%

3) 90%

4) 85%

Answers

For question A, the answer is 2.  Since the sale sweatshirt if 40% LESS, this means that 60% of the original price still remains. 28.80 x .60 = 17.28

For question B, the answer if 4.  You can divide 17 by 20 getting .85

a rectangular photograph is 4 inches wide and 6 inches long. The photograph is enlarged by increasing the length and width by an equal amount. If the area of the new photograph is twice as large as the oringinal area, what are the dimensions of the new photograph?

Answers

The original area is
4*6= 24
The new area is 24*2 =48
So the dimensions is 6*8

A student reports three trials to measure the density of an unknown metal. The percent error in these trials is given in the table. Trial Count Percent Error Trial 1 0.05 Trial 2 0.02 Trial 3 0.01 Indicate the most accurate valu

Answers

I think that the most accurate one is trial 3 since it is the least incorrect and closest percent-wise to the actual correct density of the metal. 
Hope this helps!

A kilometer is more than one half a mile true or false!

Answers

The answer is true.
1 Kilometer is 0.621371 miles
True.

1 km = about 0.62 miles

Hope this helps!

draw and label a figure that has four points two rays and one right angle

Answers

This figure has four points labeled, 2 rays which you can see labeled and one right angle. The rays are named Ray BA, and Ray BD, The right angle is angle ABD, or angle ABC. A ray has one and point and goes on forever in the other direction which is indicated with an arrow. A right angle measures 90°. You can potentially put any number of points on a line. Angles can also be named by the vertex.

What role do plants have in the carbon-oxygen cycle?

a) They release oxygen into the air as a waste product of photosynthesis.
b) They release carbon dioxide into the air as a waste product of photosynthesis.
c) They absorb oxygen from the air to use during photosynthesis.
d) They do not have a role in the carbon-oxygen cycle.

Answers

A. Plants release oxygen to the air for us to breathe.
A.They release oxygen into the air as a waste product of photosynthesis.
Hope This Helps you!

Angle of rotation(including direction of rotation)

Answers

What is the question

What is .58 as a fraction in simplest form

Answers

This fraction is 58/100 currently in its decimal.
It is not currently in simplest form, and to do so divide each part by 2. 
Then you have 29/50, which is the fraction in simplest form. 
Hope this helps!

Two parallel lines are cut by a transversal. Which statements are true for all such cases? Select three that apply.
A.Each pair of vertical angles is congruent.

B.Each pair of corresponding angles is congruent.

C.Each pair of supplementary angles is congruent.

D.Each pair of alternate interior angles is congruent.

Answers

A, B, and D are congruent
The THREE (3) correct answers are:
____________________________________________________
 [A]:  "Each pair of vertical angles is congruent.
____________________________________________________
 [B]:  "Each pair of corresponding angles is congruent." ;   AND:
____________________________________________________
 [D]:  "Each pair of alternate interior angles is congruent."
____________________________________________________

Please help please. Help

Answers

how tall is the cylinder??? TT

In 2010, Josh purchased a house for $110,000. In 2014, the house was valued at $105,000. What is the rate of change for the value per year?

Answers

Final answer:

To find the rate of change for the value of Josh's house per year, subtract the initial purchase price from the current value, then divide by the number of years that have passed. The result shows the house's value decreased by $1,250 per year.

Explanation:

To calculate the annual rate of change for the value of Josh's house, you would subtract the final value of the house from the initial value and then divide by the number of years that have elapsed. This calculation gives you the change in value per year. In this case, the initial value of the house in 2010 is $110,000 and the final value in 2014 is $105,000. There are 4 years between 2010 and 2014.

Rate of change per year = (Final Value - Initial Value) / Number of Years

Rate of change per year = ($105,000 - $110,000) / 4

Rate of change per year = (-$5,000) / 4

Rate of change per year = -$1,250

Therefore, the value of Josh's house decreased by $1,250 per year from 2010 to 2014.

Select from the drop-down menu to correctly complete the statement.

Triangle ABC and triangle DEC are

Answers

The answer is Not Similar.

Answer:

Not similar

Step-by-step explanation:

In triangle DEC, using the angle sum property, we get

∠D+∠E+∠C=180°

⇒∠D+15°+94°=180°

⇒∠D=180-109

⇒∠D=71°

Also, from triangle ABC, we have

∠A+∠C+∠B=180°

⇒38°+94°+∠B=180°

⇒∠B=48°

Now, From triangle ABC and CDE, neither the angles nor the sides are similar, therefore the given triangles cannot be similar.

Lucy wants to make different types of cheesecake. Each cheesecake uses 2/3 pound of cream cheese. She has 2 pounds of cream cheese. How many cheesecakes can she make?

Answers

Lucy can make a total of 2 cheesecakes with 2 pounds of cream cheese.

What are the roots of the polynomial equation? x² + 7x + 12 = 0 Enter your answers in the boxes. x1= x2=

Answers

The equation factors as
.. (x +3)(x +4) = 0
By the zero-product rule, the roots are
.. x1 = -4
.. x2 = -3
Find the roots by solving for x.
x= -3, -4

using the image below find the y value for the point that divides the line segment cd into ratio 4:1

Answers

i cant help you if there is no picture

Answer:

A) 2

Step-by-step explanation:

Dana has n quarters. Ivan has 2 fewer than 3 times the number of quarters Dana has. The expression n + 3 n−2 gives the number of quarters they have altogether. Which is another way to write this expression?

Answers

You can "collect terms" and write it as
  4n -2

solve for q.
k=4pq^2

Answers

k=4pq^2
k/4p=q^2
q=(k/4p)^2
Solve for q:
k = 4 p q^2

k = 4 p q^2 is equivalent to 4 p q^2 = k:
4 p q^2 = k

Divide both sides by 4 p:
q^2 = k/(4 p)

Take the square root of both sides:
Answer: q = sqrt(k/p)/2 or q = -sqrt(k/p)/2

Ms.Sherman is preparing 5 5/8 cups of rice for a family reunion, she plans to use 1/4 of a cup for each serving. How many servings of rice is Ms.Sherman preparing

Answers

Ms. Sherman is preparing 5 5/8 cups of rice. She is using a fixed amount of 1/4 cup for each serving. Since we know the total amount of rice she is using and the amount per serving, we divide these to determine the number of servings.

It might be easier to see if we used friendlier numbers. If she has 10 cups total and uses 2 cups per serving she would have 10 / 2 = 5 servings.

Now, back to the numbers we were given. We need to divide 5 5/8 by 1/4. Let's first re-write 5 5/8 as an improper fraction (multiply 8 by 5 and add 5 to get 45 then place this over the already existing denominator of 8). 5 5/8 = 45 / 8.

The division we need to undertake is [tex] \frac{45}{8} / \frac{1}{4} [/tex]
To divide by a fraction we multiply by the reciprocal (what you get when you flip the fraction over) so our problem becomes [tex]( \frac{45}{8} )( \frac{4}{1} )[/tex]

We multiply across to get [tex]( \frac{45}{8} )( \frac{4}{1} ) = \frac{(45)(4)}{(8)(1)}= \frac{180}{8}=22.5 [/tex]

That is, she is making 22.5 servings. As a fraction this is 22 1/2

besides the 90 degree angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13

Answers

Use sine cosine and tangent to find the answer. Sine=opposite/hypotenuse
Cosine= adjacent/hypotenuse tangent= opposite/adjacent. This should help you find your answers.

Answer:

b.) 23° and 67°

Step-by-step explanation:

Besides the 90° angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13? Round to the nearest degree.  

a.) 18° and 39°

b.) 23° and 67°

c.) 43° and 47°

d.) 65° and 25°

what can you conclude about the equations y=5/4x-10 and 5x-4y=40

Answers

y = 5/4x - 10
5x - 4y = 40

Let's rewrite the second equation to y = mx + b form

5x - 4y = 40
subtract 5x from both sides
-4y = -5x + 40
divide both sides by - 4
y = 5/4x - 10 

What can you conclude about the equations?
Well, it's the same thing just written in slope-intercept form and standard form.

Hope this helps

In recent years, 23.8% of all registered doctors were female. If there were 57,800 female registered doctors that year, what was the total number of registered doctors?

Answers

57,800 is 23.8% of the total number of registered doctors.

To find out the number of registered doctors, we divide the number of female doctors by 23.8% as a decimal (which is just 0.238):

57,800 ÷ 0.238 = 242,857
-------------------------------------------------------------------------------------------------------------
Answer:

So there are 242,857 registered doctors.

Final answer:

To determine the total number of registered doctors, one can use the percentage of female doctors and the number of female doctors to calculate the overall total. By dividing 57,800 by 0.238, you find there were approximately 242,857 registered doctors.

Explanation:

The question asks for the total number of registered doctors, given that 23.8% are female and there are 57,800 female registered doctors. To find this, we use the formula:

Percentage (%) = (Part/Total) × 100

First, we express the percentage as a decimal by dividing it by 100, so 23.8% becomes 0.238. Next, we will rearrange the formula to solve for the Total:

Total = Part / Decimal Percentage

So we have:

Total = 57,800 / 0.238

Doing the calculation:

Total = 242,857 (approx.)

Therefore, the total number of registered doctors is approximately 242,857.

Which inequality's solution is graphed here?
A) 4 < x
B) 4 > x
C) 4 ≤ x
D) 4 ≥ x

Answers

we have that

 the inequality solution represented in the graph is  X> 4
then
x>4  is equal to 4< x

the answer is the option 4< x

X+23=-23 solve for x pls help !!!!

Answers

x + 23 = -23
x = -23 - 23
x = -46
the answer =-46 because if you graph it it will go from 23down to - 23

What is the slope of the line of best-fit in the scatterplot below?
9/27
3/7
7/3
27/9

Answers

slope = (19-12)/(6-3) = 7/3

answer
7/3

Answer:

Option C is correct

7/3

Step-by-step explanation:

Formula for slope is given by':

[tex]\text{Slope} = \frac{y_2-y_1}{x_2-x_1}[/tex]              ....[1]

As per the statement:

The graph shows the best fit line scatter-plot.

Consider two points i.e

(3,12) and (6, 19)

Substitute these points in [1] we have;

[tex]\text{Slope} = \frac{19-12}{6-3}[/tex]

⇒[tex]\text{Slope} = \frac{7}{3}[/tex]

Therefore, the slope of the line of best-fit in the scatter plot is, 7/3

1. The lengths, in centimeters, of nine earthworms are shown below.
3, 4, 5, 5, 6, 7, 8, 9, 10
What is the median of the data?
A)5
B)6
C)7
D)8

2. Which measure of central tendency is MOST EASILY affected by outliers?
A) mean
B) median
C) mode
D) IQR


3. The math test scores of Mrs. Hunter's class are shown below.
48, 56, 68, 72, 72, 78, 78, 80, 82, 84, 88, 88, 88, 90, 94, 98, 100

What is the range of the scores?
A) 44
B) 52
C) 54
D) 62

4. The heights (in inches) of 13 plants are 6, 9, 10, 10, 10, 11, 11, 12, 12, 13, 14, 16, and 17.
What is the interquartile range of this data set?
A) 3.5
B) 6
C) 10.5
D) 11

Answers

1. Given the lengths:
3, 4, 5, 5, 6, 7, 8, 9, 10 
The median of the data, will be the middle number. From the data shown the middle number is:
B] 6

2. The mean is more affected by outliers since it takes into account all the values in a given set of data. Thus existence of outliers will greatly affect the mean. Hence the correct answer is A]

3. Given the math test scores of Mrs. Hunter's class, the range is given by:
Range=(maximum value)-(minimum value)
thus:
Maximum value=100
Minimum value=48
therefore plugging in the formula:
Range=100-48=52
Answer: B]

4. From the given heights of 13 plants:
6, 9, 10, 10, 10, 11, 11, 12, 12, 13, 14, 16,17.
The IQR is given by:
IQR=(upper quartile)-(lower quartile)
upper quartile=(14+13)/2=13.5
lower quartile=(10+10)/2=10
thus
IQR=13.5-10=3.5
Answer:
A]3.5

If the function graphed is f(x), find f(1).

A.) -4

B.) - 1/4

C.) 0

D.) 4


***
Is it C.) 0 ???

Answers

Locate 1 on the x axis. This is the horizontal number line. 

Draw a vertical line through 1 on the x axis. Extend this vertical line as far up and down as you can.

Notice how the vertical line crosses the blue curve. Mark this point. Then draw a horizontal line from this point to the y axis. The horizontal line will touch -4 on the y axis. So that means the point (1,-4) is on the curve.

If the input it is x = 1, then the output is y = -4

So that's why the answer is choice A

15% of 20 is _____. a3,b30,c 300

Answers

The Answer is 3 A :3 :)              ..
Hey there!

1% of 20 = 20/100.

20/100 = 0.2

Multiply 15 and 0.2. . .

15 x 0.2 = 3 <--------------

The correct answer to your question is option "A."
15% of 20 is 3.

Hope this helps you.
Have a great day!

What is the volume of this sphere?

Answers

V≈113.1
----------------
or 36pi cm^2
Answer:
volume = 36π  cm³

Explanation:
volume of the sphere can be calculated using the following rule:
Volume = [tex] \frac{4}{3} [/tex] * π * (radius)³

We are given that the radius = 3 cm
Substitute in the equation to get the volume as follows:
volume = [tex] \frac{4}{3} [/tex] * π * (3)³
volume = 36π  cm³

Hope this helps :)

Ms. Johnson asked her class to write an equivalent
expression to
14d - 9 + 21k - 7dk + 2.
riley wrote the expression
7dk(2 - 3 - 1) _ 7

ahmad write the expression
7(2d + 3k - dk) - 7

Ariana wrote the expression
7k(2d - 3 - d) - 7

who is correct? explain how you know

Answers

Ahmad wrote the correct expression.
To prove that 7(2d + 3k - dk) - 7 is equal to 14d - 9 + 21k - 7dk + 2
Please check this solution:
7(2d + 3k - dk) - 7 = 14d - 9 + 21k - 7dk + 2
7(2d + 3k - dk) - 7 = 14d + 21k - 7dk -9 + 2
7(2d + 3k - dk) - 7 = 14d + 21k - 7dk -7

Get the common variable which is 7.
7(2d + 3k - dk) - 7 = 7(2d + 3k - dk) - 7

For checking, we can simplify the equation...
from 7(2d + 3k - dk) - 7 = 14d - 9 + 21k - 7dk + 2
We simplify it to:
7(2d + 3k - dk) - 7 = 14d + 21k - 7dk -7
7 * 2d = 14d
7 * 3k = 21k
7 * - dk = -dk

Therefore, 
7(2d + 3k - dk) - 7 is equal to 14d + 21k - 7dk -7

Frank’s electric bill has a cycle day of the 3rd and a due date 8 days later with a one day grace period. What happens if Frank pays his electric bill on the 12th of the month?

Answers

his payment is recieived after the due date but he will not be assessed a late fee because of the grace period

Frank’s electric bill has a cycle day of the 3rd

And the due date of the bill is 8 days later

that is 3+8 = 11th of that month is the due date

The bill is to be paid by 11th

But 1 day grace period is given

So

11+1

=12

If one pays the bill by 12th of that month , then no penalty will be imposed.


And

Frank pays his electric bill on the 12th of the month

So no penalty will be imposed.


Other Questions
Read these lines from "The Bells" and answer the question.How they clang, and clash, and roar!What a horror they outpourOn the bosom of the palpitating air!Yet the ear it fully knows,By the twangingAnd the clanging,In these lines the word clash is an example of _____.repetition to emphasize the chaos of the momentpersonification to represent the angry tone of the bellsmetaphor to compare the suddenness of death to the soundonomatopoeia to evoke an emotion of dread Charles darwin proposed that evolution by natural selection was the basis for the differences that he saw in similar organisms as he traveled and collected specimens in south america and on the galapagos islands. Cats: Entertaining at a House Near You A cat named Bucket lives in my house. He is named after the device used to rescue him from a near death encounter with an apartment manager. Saved by a painter with a large, empty paint bucket, he came into our home like a marauding invader, taking every heart by storm, battling back our doubts, and snuggling into his bucket for naps during the first week with us. Because of his quirky beginnings, he developed personality traits that continue to annoy, charm, and entertain us. He chatters constantly, telling us of his day when we return home. He plays with shadows on the wall. He dashes from one end of the house to another with no apparent target or purpose. Watching Bucket is better than watching television most nights. Bucket's effect on our lives is not unique. It turns out cats profoundly improve their owners' lives. For that reason alone, cats should surely be considered the best pet on Earth. First, cat lovers are smarter than ardent fans of dogs. A British study found that people who own cats are more likely to have college degrees. While the study was careful to point out that the cats aren't causing people to be smarter, it does suggest cats are the smart choice for those who want to appear smart. The theory is that because smarter people tend to work longer they may choose cats as pets more often. As cats are known to be more independent, this choice seems wise. Second, cats are better for the environment. Cats are more likely to eat fish than beef or corn. Fish has a lower carbon footprintor impact on the environmentthan beef and corn which dominate a dog's diet. The resources needed to care for cats are much less than those needed for dogs. Cats eat less than dogs do, and so are also more economical in terms of costs to their owners. Third, cats offer great emotional benefits. They provide companionship, often asking for attention or affection that is then returned to their human. Humans tend to respond to a cat's purring with affection, petting, and comforting words. In return, humans feel an increased sense of calm and peacefulness. Cats also have been shown to help people who have endured a painful loss to feel better sooner. It's thought that having something to talk to that will only listen and not judge helps people cope with loss. With all these benefits, it's hard to understand the people who report a strong dislike of cats. Sure they can be aloof. They do seem to want life on their own terms. But the benefits they provide far outweigh their quirks. Bucket, for example, will always be a special, wonderful kitty, despite his tendencies to knock things off of high places, turn over food bowls, and bite the dog's face. Cats are simply the best. What is the main point of the second paragraph? Cats have abilities to make people smart. Cat owners tend to be smarter. Some studies have examined cats' intelligence. Some people like to appear smart. which group was likely to have received land provided under the homestead act Enforcement of the volstead act met the strongest resistance from ___________________ statistics are used to explain data in ways that are manageable and easily understood. Six different ways to show equal groups of 18 Industrial revolution: the children who built victorian britain answers The graph of the function f is shown. f(4) =A)0B)1C)4D)5 The function f(x)=--x is shown on the graph. Which statement is correct? The range of the graph is all real numbers greater than or equal to 0. The domain of the graph is all real numbers greater than or equal to 0. The range and domain of the graph are the same. The domain of the graph is all real numbers. According to Ward, what barriers might have kept Romans from voting? The table below shows the salmon population, in thousands of pounds, in Columbia River, from 1870 to 1950.YearSalmon population (in thousands of pounds)187010,200189020,0001915 20,5001931 30,000195010,000Based on the table, which of these is most likely the period during which a series of large hydropower units were built on the Columbia River?A. between 1870 and 1890B. between 1890 and 1915C. between 1915 and 1931D. between 1931 and 1950 ___________believed that a child's moral judgments build on cognitive development. ___________agreed and sought to describe the development of moral reasoning. HURRY The compressed spring of a dart gun has potential energy of 50 J. If the spring constant is 200 N/m, what is the displacement of the spring? A. 0.5 mB. 0.2 mC. 0.7 mD. 0.4 m Claudine loves to sail but does not have her own boat. Luckily, her friend from sailing class, Misty, has agreed to loan her a sailboat to test in the harbor for a couple of hours in the morning. Claudine is having so much fun that she decides to take advantage of the perfect wind conditions, sail out of the harbor, and test the open waters for several hours. Misty did not see Claudine in the harbor and began to panic. Claudine returned at dusk. She is liable to Misty for _____.A) negligenceB) fraudC) trespassD) conversion Most peach orchards are located in southern Georgia because of favorable soil conditions and? best way to study medical terminology You purchase an item to sell in your store. The item costs you $6.45. You mark the item up 20%, but later run the item on sale at 5% off the marked price.If your customer must pay 6% sales tax, what will be the total amount paid by the customer for the item? Which expression shows 0.95 in expanded form? What is the molarity of a NaOH solution if 15.0 mL of the solution is neutralized by 38.5 mL 0.150 M H3PO4 solution?