recall that two angles are complementary if the sum of their measure is 90 degrees find the measure of the two complementary angles if one of the angle is twice the other
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Related Questions
Karen has scored 29, 23, 19, 25, and 25 points in her five basketball games so far. How many points does she need to score in her next game so that her average (mean) is 24 points per game?
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Hope this helped:)
complete the paragraph proof given: <1 and <2 are supplementary and <2 and <3 are supplementary Prove: <1 is congruent to <3
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Angles <1 and <3 are proven to be congruent because they are both supplementary to the same angle <2, thus having the same measure as per the transitive property of equality.
When given that <1 and <2 are supplementary and that <2 and <3 are supplementary, we can prove that <1 is congruent to <3 through a series of logical steps. By definition, supplementary angles add up to 180 degrees. Therefore, if <1 and <2 are supplementary, we can write this as: m<1 + m<2 = 180 degrees (1). Similarly, if <2 and <3 are supplementary, that looks like: m<2 + m<3 = 180 degrees (2). By transposing m<2 from equation (1) to (2), we get m<1 = m<3, which implies that <1 is congruent to <3, as they have the same measure. This reflects the transitive property of equality where if a = b and b = c, then a = c. This conclusion demonstrates the Theorem 12, which states that if two angles are congruent to each other, their supplementary angles are also congruent.
What is 5.8 x 10^6 seconds in minutes?
Just to clarify ^x means exponent.
A. 3.48 x 10^8 minutes
B. 9.67 x 10^4 minutes
C. 9.67 x 10^8 minutes
D. 3.48 x 10^4 minutes
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Answer: here you go (PIC)
ITS Bhope it helps
Answer:
B
Step-by-step explanation:
I took the test and I got it correct
Unit 1: Scientific Notation Constructed Response Assignment
Number Properties. explanations, according to the Scientific Notation Constructed Response Assignment Rubric. Completely respond to all parts below. When you have finished, submit your completed assignment to the Unit 1: Scientific Notation Constructed Response Assignment folder in your Math OMS course.
The diameter of the average cell in the human body is 1 x 10-5 meters. The diameter of a grain of sand is about 2 x 10-4 meters. The diameter of a human hair is about 0.000025 meters.
Part A (2 points): What is the diameter of a human hair written in scientific notation?
Part B (2 points): How many times longer is the diameter of a grain of sand than the diameter of the average cell in the human body? Show your work.
Part C (2 points): Given that 1 meter = 1 x 109 nanometers, what is the diameter of the average cell in the human body, in nanometers? Show your work.
Part D (2 points): The smallest known bacteria are from the genus Mycoplasma and can measure as small as 300 nanometers in diameter. Given that 1 meter = 1 x 109 nanometers, what is the diameter of the smallest bacteria, in meters? Give your answer in scientific notation and show your work.
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Let C, S and H be the diameters of cell, sand and hair
Diameter of a cell: [tex] C=1 \cdot 10^{-5}m[/tex]
Diameter of a grain of sand: [tex]S=2 \cdot10^{-4}m[/tex]
Part A:
[tex]H=0.000025=2.5 \cdot 10^{-5}[/tex] meters, because it takes 5 movements right of the decimal dot, until there is only one digit to its left.
Part B:
we are comparing [tex]S=2 \cdot10^{-4} m [/tex] to [tex] C=1 \cdot10^{-5} m [/tex] ,
[tex] \frac{S}{C}= \frac{2 \cdot 10^{-4}}{1 \cdot 10^{-5}}=\frac{20 \cdot 10^{-5}}{1 \cdot 10^{-5}}=20[/tex]
thus S is 20 times larger than C
Part C
[tex]1m=1 \cdot10^9nm[/tex]
thus,
[tex]H=2.5 \cdot 10^{-5}m=2.5 \cdot 10^{-5} \cdot 1 \cdot 10^9nm=2.5 \cdot 10^{-5+9}=2.5\cdot10^4nm[/tex]
Part D.
[tex]1m=1\cdot 10^9nm\\\\1nm=\displaystyle{ \frac{1m}{10^9}=1\cdot 10^{-9}m} [/tex]
thus 300 nm are written in meters as follows:
[tex]300nm= 300\cdot 1\cdot 10^{-9}m=3\cdot 10^2 \cdot 10^{-9}m=3\cdot 10^{-7}m[/tex]
how many rainbow six events has there been since beta?
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If the greatest value of n is 9, which inequality best shows all the possible values of n?
n ≤ 9
n ≥ 9
n < 9
n > 9
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Answer:
The answer is n with the less than sign with it underlined and then 9 on the left side
Step-by-step explanation:
The reason why it is the less than sign with it underlined is because the problem says the greatest value and that sign mean at most which is also the greatest.
ben is making a dessert that requires 2.5 pound of strawberries and 1.5 pounds of blueberries. The straw berries cost $1 less per pound. Ben paid a total of $9.50 on the fruit what was the price per pound of each fruit?
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x = y - 1
2.5(y - 1) + 1.5y = 9.50
2.5y - 2.5 + 1.5y = 9.50
2.5y + 1.5y = 9.50 + 2.50
4y = 12
y = 12/4
y = 3 <== blueberries cost $ 3 per lb
x = y - 1
x = 3 - 1
x = 2 <== strawberries cost $ 2 per lb
What is the value of x?
6x − 2(x + 4) = 12
(And there are no answer choices)
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6x-2x-8=12
4x-8=12
+8 +8
4x=20
/4 /4
x=5
Find the Equation of x(2x+5)-3(2x+5)=0
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2x² - x - 15 = 0
2x² -x = 15
x = 3
3 x 3 = 9 x 2 = 18 - 3 = 15
i really don't know how i got 3 in the first place but that is your answer
hope this helps
The distance between Cameron and jonesville is 80 miles . the scale on the map is 0.75 in : 10 miles . How far apart are the cities on the map
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Answer:
6,751.76 miles
Step-by-step explanation:
Given
distance between Cameron and jonesville = 80 miles
scale on the map is 0.75 inches (10 miles)
To determine the Distance apart of the cities on the map we use a proportion
Therefore
Let x represent the distance apart
0.75 inches/10 miles = 80 miles/ x miles
Cross multiply
0.75x = 80 miles × 10 miles
x = 800 miles/0.75 inches
Convert 0.75 inches to miles = 1.184 × 10-5 mile
Therefore 800miles/1.184 × 10-5 mile
x = 6,751.76 miles
what is the simplified form of each expression (3/4)^5
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three less than "x" is equal to 13
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Help please!!!!!
Construct a function with a rate of change 2/3 and a initial value of 4.
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When switching to function notation, we simply swap y for f(x), and if we start at x=0 and graph in the positive x direction, we've started at whatever initial value exists (the y-intercept value).
Simply: F(x) = 2/3 x + 4
The equation of the linear function will be y = (2/3)x + 4.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A function with a rate of change of 2/3 and an initial value of 4. Then the equation of the linear function is given as,
y = (2/3)x + 4
The equation of the linear function will be y = (2/3)x + 4.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ2
Sale price is $75 it was 20% off what was the original price
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plz show the work for 4762×33
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4762
33
---------
14,286 answer is 28,572
14286
---------
28,572
Multiplying 4762 by 33 through long multiplication involves multiplying 4762 by 3 and 30 separately, then adding the results to get the final answer of 157146.
To multiply 4762 by 33, you use long multiplication:
Multiply the number 4762 by 3 (the ones place of 33). Write the result under the line.Multiply the number 4762 by 3 again (this time because of the tens place in 33), and write this result one place to the left of the previous result.Add both results together to get the final answer.Step-by-step:
4762x 33
---------
14286 (4762 x 3)
+ 14286 (4762 x 30, note the one place shift)
---------
157146 (addition of both results)
Thus, 4762 multiplied by 33 equals 157146.
a cookie recipe needs 1 1/3 cups of flour to make 1/2 batch of cookies. How much flour is needed to make 1 batch of cookies?
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George is driving at an average speed of 62 miles per hour. Write an expression that would give his distance traveled for h hours. Make a table that records his distance for 3, 5.5, 7, and 8.5 hours.
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3 186 mi
5.5 341 mi
7 434 mi
8.8 545.6 mi
Answer:
Given : George is driving at an average speed of 62 miles per hour.
To Find : Write an expression that would give his distance traveled for h hours.
Solution:
Speed = 62 miles/hour
Time = h hours
[tex]Distance = Speed \times Time[/tex]
[tex]Distance = 62h[/tex]
So, an expression that would give his distance traveled for h hours is [tex]Distance = 62h[/tex]
Now we are supposed to Make a table that records his distance for 3, 5.5, 7, and 8.5 hours.
So, At h = 3
[tex]Distance = 62(3)[/tex]
[tex]Distance = 186[/tex]
So, At h = 5.5
[tex]Distance = 62(5.5)[/tex]
[tex]Distance = 341[/tex]
So, At h = 7
[tex]Distance = 62(7)[/tex]
[tex]Distance =434[/tex]
So, At h = 8.5
[tex]Distance = 62(8.5)[/tex]
[tex]Distance =527[/tex]
So, Table :
Hours Distance (miles)
3 186
5.5 341
7 434
8.5 527
How does estimation help you place the decimal Point in a product correctly
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Then you move the decimal don that very spot.
Estimation helps to place the decimal point in a product correctly by counting the numbers of figures after the decimal points prior to finding the product, then shifting the decimal point from the back to the front in the order with which you've earlier counted it after the finding the product.
Estimation is used to approximate a large number of a particular number to its nearest whole number or significant figures.
The use of decimal points in estimation helps to separate the fractional part from the whole number.
For example, if we want to find the product of 4.23 and 2.1, we have three numbers altogether after the decimal point.
So;
4.23
× 2.1
4 2 3
8 4 6
8 8 8 3
So, starting from the back to the front, we will shift the decimal point in three places. Then the product of 4.23 and 2.1 is 8.883
Therefore, we can conclude that we've fully understood how estimation help you place the decimal Point in a product correctly.
Learn more about estimation here;
https://brainly.com/question/16099852?referrer=searchResults
What is greatest to least with 6 1/20 , 6.1 , and 6.07
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[tex] 6\frac{1}{20} = \frac{121}{20} = Decimal: 6.05 [/tex]
Your problem becomes: [tex]6.05 , 6.1 , 6.07 [/tex]
Your answer would be: [tex]6.1 [/tex] → [tex]6.07 [/tex] → [tex] 6\frac{1}{20} [/tex]
Remember: [tex]greater /greatest ( \geq )\\ = MoreThan \\ \\ \\ lesser/ least ( \leq ) \\ = LessThan [/tex]
Good luck on your assignment and enjoy your day!
~[tex]MeIsKaitlyn:)[/tex]
660 is 10 times as much as 600 true or false
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Explain how the order of operations determine how you simplify a numerical expression
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All info in attachment. Please help! Thanks :)
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Angle LMN = (angle LMK) + (Angle KMN)
Angle LMN = (52 degrees) + (12 degrees)
Angle LMN = (52 + 12) degrees
Angle LMN = 64 degrees
See the attached figure for an example of what this could look like.
The area of a square is 121 square inches.Find the perimeter
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Hope this helped!
And the length = length.
So to find one side, just find the square root of 121.
The square root of 121 is 11.
So one side = 11.
Since there are four sides in a square,
11 * 4 = 44
So the perimeter is 44 inches.
How would I write 4/m/12 ?? (4 divided by m divided by 12)
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4/m / 12
4/m * 1/12
4/12m
1/3m
Hope this helps!
You put $550 in an account that earns 4.4% simple interest per year how much interest do you earn in six months
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P=princiapl=amount put in
r=rate in decimal
t=time in years
so
P=550
r=4.4%=0.044
t=6/12=1/2 yr
so
I=(550)(0.044)(1/2)
I=(275)(0.044)
I=12.10
you earn $12.10 interest in 6 months
What numbers belong to 0.050505
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a rectangular room is 7 feet wide. it is twice as long as it is wide. what is the perimeter of the room?
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the traffic cone is 19 inches tall and has a radius of 5 inches. find the lateral area
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Amelia butt roast beef for $6.85 per pound find the total cost to Familia but 4 lb of roast beef justify your answer using the distributive property
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How to solve y^2=144/169
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√y²= √(144/169)
y= √144 / √169
y= 12/13
Final answer: y=12/13
The solution to the equation y^2 = 144/169 yielding two possible solutions for y which are 12/13 and -12/13.
Step 1: Take the square root of both sides of the equation to get y. Remember that taking the square root of a square will provide you with the original value. However, since every positive real number has two square roots, one positive and one negative, your answer will have two potential values.
Step 2: The square root of 144 is 12, and the square root of 169 is 13, thus the equation becomes:
y = ± (12/13)
Therefore, the two solutions to the equation are y = 12/13 and y = -12/13.