An angle measures 70.2° more than the measure of its complementary angle. What is the measure of each angle?
Answers
A complementary angle of another angle is the angle that when you add it to that angle, you get 90 degrees.
For example, we have angle A. When we add the complementary angle of angle A, you get 90 degrees. :)
So, what we can do for this problem is create an equation! :)
x + 70.2° = "an angle"
x = complementary angle
Notice: I put the 70.2° to show the difference between the complementary angle and the angle itself.
Now, we can make an equation!
(x + 70.2°) + x = 90
2x = 19.8
x = 19.8/2
x = 9.9 degrees
One angle is 9.9 degrees, and the other angle is x + 70.2 = 9.9 + 70.2 = 80.1 degrees. We can see that when we add 9.9 and 80.1 we get 90 degrees, and when you minus 9.9 from 80.1, you get 70.2. :)
Ask any questions if you need. :)
equal sides of an isosceles triangle are given as 30 cm each if the perimeter of the triangle is 67 cm,find the third sides please help me answer please please please
Related Questions
help plsssssssss...........
Answers
Answer:
that would be 15
Step-by-step explanation:
(5b) / (32a^2)....a = 1/4 and b = 6
now we sub
(5(6) / (32(1/4^2) =
30 / 32(1/16) =
30 / (32/16) =
30 / 2 =
15 <===
hope this helps :3
Answer:
15
Step-by-step explanation:
Just substitute the value of the variable and simplify.
A box of cereal costs $1.92 for 16 ounces. At that rate, how much would a 40-ounce box of cereal cost?
Answers
Find cost per ounce:
1.92 / 16 = 0.12 per ounce
0.12 x 40 = 4.80
The answer is $4.80
Answer:
$4.8
Step-by-step explanation:
In order to find the answer, you would need to divide $1.92 by 16 ounces to get how much cereal it costs for one ounce which is $0.12. After that, you would need to multiply $0.12 times 40 which would equal $4.8
Hope this helps and have a great day:)
Suppose you are buying orange juice and you want to find the best deal. You find four different brands that offer various sizes that include 6 oz for $1.25, 8 oz for $1.33, 12 oz for $1.50 and 16 oz for $2.10. Which orange juice is the better buy?
Answers
Answer: 3rd brand.
Step-by-step explanation:
1st brand:
6 oz cost $1.25
The amount per ounce will be:
= $1.25/6
= $0.21
2nd brand:
8 oz cost $1.33
The amount per ounce will be:
= $1.33/8
= $0.17
3rd brand:
12 oz cost $1.50
The amount per ounce will be:
= $1.50/12
= $0.125
4th brand:
16 oz cost $2.10
The amount per ounce will be:
= $2.10/16
= $0.13
From the calculation, the 3rd brand of orange juice is the better but as it's cheaper than others.
he American Housing Survey is done every year by the Bureau of the Census. Data from the 2003 survey can be used to find the distribu- tion of occupied housing units (this includes apartments) by number of rooms. Results for the whole U.S. are shown below, separately for "owner- occupied" and "renter-occupied" units. Draw a histogram for each of the two distributions. (You may assume "10 or more" means 10 or 11; very few units have more than 11 rooms.) (a) The owner-occupied percents add up to 100.2% while the renter- occupied percents add up to 100.0%. Why? (b) The percentage of one-room units is much smaller for owner-occupied housing. Is that because there are so many more owner-occupied units in total? Answer yes or no, and explain briefly c) Which are larger, on the whole: the owner-occupied units or the renter-occupied units?
Answers
The American Housing Survey is conducted annually by the Bureau of the Census to gather data on the distribution of occupied housing units in the United States.
Using data from the 2003 survey, the distribution of occupied housing units by the number of rooms can be found. To visualize this data, histograms can be drawn separately for owner-occupied and renter-occupied units.
It is important to note that "10 or more" mean 10 or 11, as very few units have more than 11 rooms.
(a) The This could be due to rounding errors or differences in sample sizes between the two groups.
(b) The percentage of one-room units is much smaller for owner-occupied housing. This is not necessarily because there are more owner-occupied units in total, but could be due to differences in the length preferences and financial means of renters versus owners.
(c) It is unclear which group, on the whole, has larger units without additional information about the distribution of rooms.
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2(3x−5)=3x+17 i need help
Answers
Answer:
2 ( 3x - 5 ) = 3x + 17
6x - 10 = 3x + 17
6x - 3x = 17 + 10
3x = 27
x = 27 /3
x= 9
6x-3x=17+10
3x=27
X=27\3
x=9
Select the correct answer. in what year did feminists first propose the era? a. 1891 b. 1923 c. 1954 d. 1965 e. 1982
Answers
Answer: b. 1923
Step-by-step explanation:
In a linear grammar for all productions there is at most one variable on the left side of any production none of the listed answers are correct for all productions there is at most one variable on the right side of any production for all productions there must be a symbol on the left-hand side all listed answers are correct
Answers
In a linear grammar, for all productions, there is at most one variable on the left side of any production. This means that each production consists of a single nonterminal symbol and a string of terminal symbols.
For instance, consider the following linear grammar:
S → aSb | ε
This grammar is linear because each production has only one nonterminal symbol on the left-hand side. The first production has S on the left-hand side, and it generates a string of terminal symbols (a and b) by concatenating them with another instance of S.
The second production has ε (the empty string) on the left-hand side, indicating that S can also generate the empty string.A linear grammar is a type of formal grammar that generates a language consisting of a set of strings that can be generated by a finite set of production rules. In a linear grammar, all productions have at most one nonterminal symbol on the left-hand side.
This makes the grammar easier to analyze and manipulate than other types of grammars, such as context-free or context-sensitive grammars.
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data compression algotrithm that codes for the first letter, the number of letters in the middle, and the last letter
Answers
The data compression algorithm you are describing is a simple form of encoding that represents a word or a string of characters using three components: the first letter, the number of letters in the middle, and the last letter.
Here is a step-by-step explanation of how this algorithm works:
1. Take a word or a string of characters as input.
2. Identify the first letter of the word.
3. Count the number of letters in the middle of the word, excluding the first and last letters.
4. Identify the last letter of the word.
5. Encode the word using these three components: the first letter, the number of letters in the middle, and the last letter.
6. For example, let's encode the word "hello":
- The first letter is "h".
- The number of letters in the middle is 3 ("e", "l", "l").
- The last letter is "o".
- Therefore, the encoded representation of "hello" would be "h3o".
7. This encoding technique is used to compress data by representing longer strings of characters using fewer components.
It is important to note that this algorithm is a basic example and may not be the most efficient or widely used data compression technique. There are more sophisticated algorithms available that can achieve higher compression ratios. However, this simple algorithm demonstrates the concept of encoding data by representing it using fewer components.
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4. In the accompanying diagram, AABC – ADEF, DE = x + 2, DF = x+8, AB = x-3, and AC = x. Determine, algebraically, the value of x. E X-3 tX = X+2+x+8 2X-3=2x+10 2x+B - 2x +3 B A 스 x+2 - 13 x-3 ol C X48 А x Х D
Answers
The congruent triangles value of x is: AC = x = BC = 13
Based on the information given, we know that AABC and ADEF are congruent triangles, so their corresponding sides are equal in length.
Therefore, we can set up the following equation:
AB + BC + CA = DE + EF + FD
Substituting in the given values, we get:
(x - 3) + BC + x = (x + 2) + (x + 8) + (x - 3)
Simplifying and solving for x, we get:
2x - 3 = 2x + 10
Subtracting 2x from both sides, we get:
-3 = 10
This equation has no solution, which means there is no value of x that satisfies the given conditions.
However, we can see that there is a mistake in the original diagram, as the sides AB and AC should add up to be greater than the sum of DE, EF, and FD. If we assume that AB = x + 3 instead of x - 3, then we can solve for x as follows:
(x + 3) + BC + x = (x + 2) + (x + 8) + (x + 3)
2x + BC = 2x + 13
Subtracting 2x from both sides, we get:
BC = 13
So the value of x is:
AC = x = BC = 13
Therefore, x = 13 is the solution.
The congruent triangles value of x is: AC = x = BC = 13
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Geometry please help!!!!!!! 20 Points show your work!! Please
Answers
Answer:
x ≈ 5.6
Step-by-step explanation:
given 2 secants drawn from an external point to the circle , then
the product of one secant's external part and that entire secant is equal to the product of the other secant's external part and that entire secant, that is
17(17 + x) = 12(12 + 20)
289 + 17x = 12 × 32 = 384 ( subtract 289 from both sides )
17x = 95 ( divide both sides by 17 )
x ≈ 5.6 ( to the nearest tenth )
Help me please??????
Answers
Answer:
according to writer it answer is 2 minute
the tribe is the oldest sociopolitical type; the tribe predates the state
Answers
The statement that "the tribe is the οldest sοciοpοlitical type; the tribe predates the state" is a widely accepted view in anthrοpοlοgy and archaeοlοgy.
What does the statement mean?It suggests that human sοcieties evοlved frοm smaller, kinship-based grοups knοwn as tribes befοre transitiοning tο larger, centralized fοrms οf pοlitical οrganizatiοn knοwn as states.
Tribes are characterized by a clοse-knit sοcial structure based οn kinship ties, with members sharing cοmmοn ancestry and οften living in smaller, decentralized cοmmunities. Tribal sοcieties typically have egalitarian sοcial structures, with leadership based οn kinship οr achieved status rather than fοrmal hierarchical systems.
As human sοcieties evοlved, sοme tribes eventually develοped intο states, which are characterized by centralized pοlitical authοrity, fοrmal legal systems, and defined territοrial bοundaries. States οften have mοre cοmplex sοcial hierarchies, specialized institutiοns, and a mοnοpοly οn the use οf fοrce.
The transitiοn frοm tribes tο states is believed tο have οccurred gradually οver thοusands οf years, as human pοpulatiοns grew and interactiοns between grοups increased. The emergence οf agriculture, surplus prοductiοn, and the need fοr larger-scale gοvernance are οften cited as factοrs cοntributing tο the develοpment οf states.
While the specific timeline and prοcesses οf this transitiοn are still subjects οf οngοing research and debate, it is generally accepted that tribal sοcieties predate the develοpment οf states in human histοry.
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the amplitude of a sector of πcm² of area and 1.5 cm of radius
Answers
The area of the sector is A = π cm² and amplitude is a = 0.75 cm
Given data ,
The area of a sector is given by the formula:
A = (1/2) x r² x θ
where r is the radius of the sector and θ is the central angle in radians.
On simplifying , we get
A = π cm²
r = 1.5 cm
Substituting these values into the formula, we get:
π = (1/2) x (1.5)² x θ
π = (3/4) x θ
Solving for θ, we get:
θ = (4/3) x π
The amplitude of the sector is half of the radius, so:
amplitude = (1/2) x 1.5 cm = 0.75 cm
Hence , the amplitude of the sector is 0.75 cm
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(-5/12) - 19/12
SUBTRACTION IN RATIONAL NUMBER
PLEASE HELP ME
Answers
Answer:
Its - 2..................
which type of associations is a real relationship, not accounted by other variables?
Answers
A real relationship, not accounted by other variables, is a causal relationship. This type of association suggests that one variable directly causes changes in the other. In other words, there is a cause-and-effect relationship between the two variables.
In this type of association, changes in one variable directly cause changes in the other variable, without any other variables influencing the relationship. This contrasts with spurious or indirect associations, where the relationship between two variables is due to the influence of other variables. To determine if an association is a real relationship, researchers often control for potential confounding variables to isolate the direct effect of the variables in question. However, it is important to note that establishing a causal relationship requires careful research design and data analysis to rule out the effects of other variables that could be influencing the relationship.
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The info is in the picture
Domain?
Range?
Answers
Answer:
Step-by-step explanation:
7.
Domain : { x | -2 < x < 2 } (x such that x is greater than -2 and less than 2)
Range: { y | 1 < y < 5 } (y such that y is greater than 1 and less than 5)
8.
Domain: { x | x € ℝ } (x such that x is all real numbers)
Range: { y | x € ℝ } (y such that y is all real numbers)
please help me! This is really hard!
Answers
The set of numbers that are written in order from least to greatest is: 15.75, √250, 4², 50/3, 16.7 x 10³.
Which number goes from lowest to highest?You need to solve for the quantities given to see which numbers are the smallest and which are the largest.
15.75 = 15.75
√250 = 15.8
4² = 16
50 / 3 = 16.7
16.7 x 10³ = 16,700
The order from least to greatest is therefore:
15.75, √250, 4², 50/3, 16.7 x 10³.
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Find the area of the irregular figure.
5 in.
4 in.
12 in.
A = [? ]in.2
5 in.
7 in.
11 in.
![Find the area of the irregular figure.5 in.4 in.12 in.A = [? ]in.25 in.7 in.11 in.](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/3jLuPMAKY6sK6ArAGbKAMQt6ujMljdKO.png)
Answers
Answer:
155
Step-by-step explanation:
After reviewing your model stock list, you discover a changing sales pattern over the last several months on the most popular style of jeans. the data note the following sales per month: august-75 units, september-95 units, october-130 units. assuming your sales continue to grow at the avereage rate they did between august and october, what will your sales be in november?
Answers
Based on the changing sales pattern of the most popular style of jeans, the sales have been increasing over the last several months.
The sales per month were 75 units in August, 95 units in September, and 130 units in October. To estimate the sales in November, we can assume that the sales will continue to grow at the average rate observed between August and October.
To calculate the average monthly growth rate, we can take the difference between the sales in October and August, which is 130 - 75 = 55 units. Then, we divide this difference by the number of months between August and October, which is 3. So, the average monthly growth rate is 55 / 3 = 18.33 units.
To estimate the sales in November, we can add the average monthly growth rate of 18.33 units to the sales in October. Thus, the projected sales in November would be 130 + 18.33 = 148.33 units. Since sales are typically measured in whole units, we can round the result to the nearest whole number. Therefore, the estimated sales in November would be approximately 148 units.
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1.HELP FAST
-6(2x + 1) < 5- (x – 4)-6x
Interval Notation:
Answers
Answer:
(-3, ∞).
Step-by-step explanation:
-6(2x + 1) < 5- (x – 4)-6x
-12x - 6 < 5 - x + 4 - 6x
-12x + x + 6x < 5 + 4 + 6
-5x < 15
x > 15/-5 (note that the inequality sign flips when dividing by a negative)
x > -3.
nine more than three times a number is -6
Answers
Answer:
-11
Step-by-step explanation:
Answer:
No the Answer is 24
Step-by-step explanation:
The number (x) in: "9 more than three times a number is 24" is what we are solving here. In other words, you are looking for a number (x) that if you multiply it by three (same as three times) and then add 9, you get 24.
A tuxedo rental company is offering a Rent A tuxedo company is offering a rent one get one tux, get a second for 40% off deal. Two friends are going to rent tuxedos together to take advantage of this offer. The second tuxedo ends up being only $45 to rent after the discount. What is the total cost of both tuxedos?
Answers
Answer:
$120
Step-by-step explanation:
40% off means that the post reduction price is 60% of the original.
Therefore, if $45 is 60% of the original,
100% of the original price = 45 / 60 x 100 = $75
Therefore, the total cost of both = 45 + 75 = 120
Mitzi has 79 coins she divides the coins equally among herself and her 3 brothers Mitzi will keep any coins left over how many coins does each person get
Answers
Answer:
19
Step-by-step explanation:
79÷4=19R3
≈ 19
Bill averages 10 points a game and has 110 points for the season. Aaron averages 12 points a game and has 96 points for the season. Solve an equation to find how many games it will take until they tie in points scored if they continue at the same rate.
Answers
Answer:
ok yes
Step-by-step explanation:
The number of games it will take until they tie in points scored if they continue at the same rate is;
7 games.
We are told that Bill averages 10 points a game and has 110 points for the season.
Thus, number of games a season it will take bill to reach 110 points is; 110/10 = 11 games
Aaron averages 12 points per game and has 96 points for the season. Thus, number of games a season it will take bill to reach 96 points is;
96/12 = 8 games.
Now, let the additional number of games to be played for them to have the same points be x. Thus;
110 + 10x = 96 + 12x
12x - 10x = 110 - 96
2x = 14
x = 14/2
x = 7
In conclusion, the additional number of games it will take for Bill and Aaron to have the same number of points is 7 games.
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What an expression for 4x - 12
Answers
4x+12=4(x+3)
Rewrite this equation in Slope Intercept form and
solve the equation at x = -1. Show your work.
2x + y = 6
Answers
Answer:
y = -2x+6
y=8 when x = -1
Step-by-step explanation:
2x + y = 6
Slope intercept form is y = mx+b where m is the slope and y is the intercept
Solve for y
Subtract 2x from each side
y = -2x+6
The slope is -2 and the y intercept is -6
Let x = -1
y = -2(-1) +6
y = 2+6
y=8
(-1,8)
Answer:
y = -2x + 6
y = 8
Step-by-step explanation:
Rewrite this equation in Slope Intercept form
2x + y = 6
Subtract 2x from both sides
y = -2x + 6
------------------------------
solve the equation at x = -1
y = -2(-1) + 6
y = 2 + 6
y = 8
i need question 3 only
Answers
Answer:
table: 14, 16, 18equation: P = 2n +12Step-by-step explanation:
Perimeter values will be ...
rectangles . . . perimeter
1 . . . 14
2 . . . 16
3 . . . 18
__
The perimeter of a figure is twice the sum of the length and width. Here, the length is a constant 6. The width is n, the number of rectangles. So, the perimeter is ...
P = 2(6 +n) = 12 +2n
Your equation is ...
P = 2n +12 . . . . . . . . perimeter P of figure with n rectangles.
_____
Additional comment
You may be expected to write the equation using y and x for the perimeter and the number of rectangles. That would be ...
y = 2x +12 . . . . . . . . . perimeter y of figure with x rectangles
The distance between the points P(1,3) and Q(x,7) is 5 units. Find the possible values of x.
Answers
Answer:
x = - 2 , x = 4
Step-by-step explanation:
Calculate the distance PQ using the distance formula and equate to 5
d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)
with (x₁, y₁ ) = P (1, 3) and (x₂, y₂ ) = Q (x, 7 )
PQ = \(\sqrt{(x-1)^2+(7-3)^2}\) = \(\sqrt{(x-1)^2+4^2}\) = \(\sqrt{(x-1)^2+16}\) , then
\(\sqrt{(x-1)^2+16}\) = 5 ( square both sides )
(x - 1)² + 16 = 25 ( subtract 16 from both sides )
(x - 1)² = 9 ( take square root of both sides )
x - 1 = ± \(\sqrt{9}\) = ± 3 ( add 1 to both sides )
x = 1 ± 3
Then
x = 1 - 3 = - 2 , or
x = 1 + 3 = 4
Is this right idek anymore
Answers
it is! good job (:
yep
it just simplifies to 1/7 since 4 and 4 cancel out each other
Which of the following traingles is Cos B = 0.8?
Answers
ANSWER:
EXPLANATION:
Given:
To find:
Which triangle is cos B = 0.8
For the 1st Triangle:
We have to first determine the value of side BC using the Pythagorean theorem as seen below;
\(\begin{gathered} 5^2=4^2+BC^2 \\ 25=16+BC^2 \\ BC=\sqrt{25-16} \\ BC=\sqrt{9} \\ BC=3 \end{gathered}\)So cosine B will be;
\(\begin{gathered} \cos B=\frac{adjacent\text{ }side\text{ }to\text{ }angle\text{ B}}{hypotenuse} \\ \cos B=\frac{3}{5} \\ \cos B=0.6 \end{gathered}\)For the 2nd Triangle:
\(\begin{gathered} \cos B=\frac{adjacent\text{ }side\text{ }to\text{ }angle\text{ B}}{hypotenuse} \\ \cos B=\frac{5}{8} \\ \cos B=0.625 \end{gathered}\)For the 3rd Triangle:
We have to first determine the value of side AB using the Pythagorean theorem as seen below;
\(\begin{gathered} AB^2=4^2+5^2 \\ AB^2=16+25 \\ AB=\sqrt{41} \end{gathered}\)So cosine B will be;
\(\begin{gathered} \cos B=\frac{adjacent\text{ }side\text{ }to\text{ }angle\text{ B}}{hypotenuse} \\ \cos B=\frac{4}{\sqrt{41}} \\ \cos B=0.62 \end{gathered}\)For the 4th Triangle:
\(\begin{gathered} \cos B=\frac{adjacent\text{ }side\text{ }to\text{ }angle\text{ B}}{hypotenuse} \\ \cos B=\frac{4}{5} \\ \cos B=0.8 \end{gathered}\)So in the below triangle cos B = 0.8
