Answer:
its the third option
Step-by-step explanation:
the one with 2 rings on the second longest angle 2 lines on longest side one side and 1 line on the shortest side
All the described pairs of triangles that are reflected, rotated, or both, can be proven congruent by the SAS postulate because such rigid transformations preserve the congruency of sides and angles.
Explanation:To determine which pair of triangles can be proven congruent by the SAS (Side-Angle-Side) postulate, we look for two sides of a triangle and the included angle that are congruent to two sides and the included angle of another triangle. When a triangle is reflected across a line, rotated 90 degrees, or both reflected and rotated, it maintains its size and shape, thus the corresponding sides and angles remain congruent.
A reflection or rotation (including a combination of both) is a type of rigid transformation which preserves the size and shape of figures. Hence, all the given pairs of triangles can be proven congruent to the original triangle through the SAS postulate, as rigid transformations do not alter the congruity of sides and included angles.
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John is 35 years old, and makes $30,000 per year. If he were to die, how much
would the beneficiaries of his life insurance policy receive if they can get by
on 75% of his income?
Current Gross Earnings
$ 7.500
9,000
15,000
23,500
30,000
40,000
65,000
MULTIPLES-OF-SALARY CHART
Current Age
25 Years 35 Years 45 Years
75% 60% 75% 60% 75% 60%
4.0 3.0 - 5.
5 4 .0 7.5 5.5
4.0 3.0* 5.5 4.0 7.5 5.5
4.5 3.0 6.5 4.5 8.0 6.0
6.5 4.5 8.0 5.5 8.5 6.5
7.5 50 8.0 6.0 8.5 6.5
7.5 5.0 8.0 6.0 8.0 6.0
7.5 55 7.5 6.0 7.5 6.0
55 Years
75% 60%
6.5 4.5
6.5 4.5
7.0 5.5
7.5 5.5
7.0 5.5
7.0 5.5
6.5 5.0
A. $188,000
B. $240,000
C. $140,000
D. $150,000
Answer:
240,000
Step-by-step explanati
Answer:
240000
Step-by-step explanation:
What is... 4X + 1/2 (4X + 6) = 12
Answer:
9/6 or 3/2 or 1 1/2
Step-by-step explanation:
Do distributive property to get rid of the parenthesis
4x + 2x + 3 = 12
combine like terms
6x + 3 = 12
move the 3 over by subtraction
6x = 9
divide by 6
x = 9/6 or 3/2 or 1 1/2
Answer:
Exact Form:
X
=
3 /2
Decimal Form:
X
=
1.5
Step-by-step explanation:
On Nathan's favorite TV show, players compete to see who can run through an obstacle
course the fastest. Some players fall into a big tank of water that is shaped like a cube. The
tank measures 8 yards on each side. What is the volume of the tank?
cubic yards?
Answer:
The answer would be 512 cubic yards
Step-by-step explanation:
When you have the area of one of the sides, you can multiply it by 8 because it is a cube and that would give you 512. hope this helps :)
Answer:
i don't know and i need coins or point
How many revolutions is 900 degrees
9 revolutions
3 revolutions
2.5 revolutions
4.5 revolutions
Answer: 2.5
Step-by-step explanation:
One complete revolution equals 360 degrees. To find out how many revolutions 900 degrees represent, you divide 900 by 360 resulting in 2.5 revolutions.
Explanation:To ascertain the number of revolutions in 900 degrees, consider that a full circle encompasses 360 degrees. Dividing 900 by 360 yields 2.5, revealing that 900 degrees translates to 2.5 revolutions. This calculation stems from the fundamental concept that each complete revolution covers 360 degrees. In essence, the formula involves dividing the given degree measure by the standard degree value for a full revolution. Consequently, this approach facilitates the conversion of angular measurements into a more comprehensible representation of revolutions, aiding in the interpretation of rotational or circular motions within mathematical or physical contexts.
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In a box full of fruits there are oranges, apples, and pears in the ratio of 2:5:6. What is the total weight of the fruits in the box if it is known that there are 4.8 lbs of oranges in the box?
Answer:
31.2
Step-by-step explanation:
Ratio shows us the number of times a number contains another number. The weight of the fruit box is 31.2 lbs.
What is Ratio?A ratio shows us the number of times a number contains another number.
As it is given the ratio of the fruits oranges, apples, and pears is 2:5:6. And the weight of the oranges in the box is 4.8 lbs.
Let's assume that the weight of the oranges, apples, and pears is 2x, 5x, and 6x respectively.
Now, as the weight of the oranges is 4.8 lbs, therefore,
The weight of the oranges, 2x = 4.8 lbs
x = 2.4 lbs
Now, as we know the value of x, therefore, the weight of the fruit box is,
[tex]\begin{aligned}\text{Total weight of the fruit box} &= 2x + 5x+ 6x \\&=13x \end{aligned}[/tex]
Now, substitute the value of x, therefore, we can write it as,
[tex]=13x\\\\= 13(2.4)\\\\= 31.2\rm\ lbs[/tex]
Hence, the weight of the fruit box is 31.2 lbs.
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How many integers are there between -8 and 2?
Group of answer choices
Answer:
Step-by-step explanation:
{-7,-6,-5,-4,-3,-2,-1,0,1 }
9 numbers between -8 and 2.
Mr. fudge is going to roll two fair dice. what is the probability that the sum will be 4 or less?
Answer:
I think it's 8\12
Step-by-step explanation:
there are numbers from 1 to six on each dice that means there are 12 numbers on the two dice together and it says four or less there are 1,2,3 and four on the dice that is four or less double that and you get 8when you put that over 12 it becomes 8/12. I hope it helps alot
The probability of rolling a sum of 4 or less with two dice is 6 out of 36 outcomes, which simplifies to 1/6 or 0.1667 when rounded to four decimal places.
Explanation:To calculate the probability that the sum of two rolled dice will be 4 or less, we can list all possible outcomes (the sample space) and then count the favorable outcomes. A single six-sided die has 6 faces, so the total number of outcomes when rolling two dice is 6 × 6 = 36. The pairs of dice that sum to 4 or less are: (1,1), (1,2), (1,3), (2,1), (2,2), and (3,1). There are 6 such pairs, so the probability of rolling a sum of 4 or less is 6/36, which simplifies to 1/6.
The probability should be rounded to four decimal places if necessary, but in this case, the fraction simplifies exactly to 1/6. Therefore, the probability is 0.1667 when rounded to four decimal places.
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The fictitious state of Aribraska has a graduated state income tax.
Residents pay 3% on the first $15,000 of income.
The next $25,000 earned is taxed at a rate of 5%.
Any money earned above $40,000 is taxed at 7%.
The income tax for Aribraska is modeled by a piecewise defined function.
Over which part of the domain is the piecewise function defined as
f(x) = 0.05x – 300?
An Aribraska resident who earns $32,000 would owe how much in tases?
$1,300
$1,600
$1,740
Answer:
$1300
Step-by-step explanation:
The piecewise function is defined as f(x) = 0.05x - 300 over the income range of $15,000 to $40,000. An Aribraska resident who earns $32,000 would owe $1,600 in taxes.
Explanation:The piecewise function is defined as f(x) = 0.05x - 300 over the part of the domain where the income is between $15,000 and $40,000. This is because the tax rate of 5% is being applied to the income in this range. For any income above $40,000, the tax rate is 7%, so the function would not be equal to 0.05x - 300.
To calculate the amount of taxes owed by an Aribraska resident who earns $32,000, we need to determine the income range that applies to this amount. Since $32,000 is within the range of $15,000 to $40,000, we can use the piecewise function to calculate the taxes:
f(32,000) = 0.05(32,000) - 300 = 1,600
Therefore, an Aribraska resident who earns $32,000 would owe $1,600 in taxes.
A car travels at an average speed of 64 miles per hour. How long does it take to travel 224 miles?
Answer:
3.5 hours
Step-by-step explanation:
Use the formula:
distance=rate*time
224=64t
Divide by 64 on both sides
t=3.5
So, it takes 3.5 hours to travel 224 miles
Hope this helps! :)
-3x + y =-9
12x – 4y = 24
The probability that a certain state will be hit by a major tornado (category F4 or F5) in any single year is 1/18. Use this information to answer the questions below
(A) What is the probability that the state will be hit by a major tornado two years in a row?
Answer:
The probability that the state will be hit by a major tornado two years in a row is 0.00309.
Step-by-step explanation:
Independent events are those events that are not affected by the occurrence (or no occurrence) of other events. These events do not affect the probability of another even taking place.
For example, the events of winning a lottery and being late for work are independent or the events of taking a cab home and making dinner are also independent.
In this case we are provided that the probability that a certain state will be hit by a major tornado is, [tex]\frac{1}{18}[/tex].
Consider the event that a state was hit by the major tornado.
The event of the major tornado hitting a state a second time next year is not dependent on the fact that it had already hit that state last year.
The two events are independent.
Compute the probability that the state will be hit by a major tornado two years in a row as follows:
P (Tornado hits twice) = P (Tornado in 1st year) × P (Tornado in 2nd year)
[tex]=\frac{1}{18}\times \frac{1}{18}\\=0.00309[/tex]
Thus, the probability that the state will be hit by a major tornado two years in a row is 0.00309.
The probability that a state will be hit by a major tornado two years in a row, given that the probability for any single year is 1/18, is 1 in 324.
Explanation:The question is asking about the probability that a certain state will be hit by a major tornado two years in a row, given that the probability for any single year is 1/18. In this question, the two events are independent, meaning that the occurrence of a tornado in one year does not affect the occurrence of a tornado in the next year. Therefore, we can simply multiply the probabilities for each year to find the two-year probability.
To calculate, we take the probability of a tornado in one year (1/18) and multiply it by the same probability for the next year (which is also 1/18).
So, the calculation is (1/18) * (1/18) = 1/324.
This means that the probability that the state will be hit by a major tornado two years in a row is 1 in 324.
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Suppose you are a construction worker you use aluminum for a window frame copper for wiring and iron for nails use the properties of these materials to justify their specific uses
Answer:
Aluminum
properties- light weight, reflectivity
ductility Corrision Ressistance
uses- kitchen utensils, cans, foils, window frames
GIVE ME BRAINLIEST
An aluminum is used for a window frame because it's light, malleable and offers high levels of wind (energy efficiency).
The properties of materials.In Science, some of the mechanical and physical properties of materials used in the construction of buildings include the following:
DensityConductivityResistivityElasticity/stiffnessCorrosionDuctility/malleabilityFractureAn aluminum is used for a window frame because it's light, malleable and offers high levels of wind (energy efficiency). Also, copper is used for wiring because it is a good conductor of electricity (current).
In conclusion, an iron is used for nails because of its strength (hardness) and ability to resist corrosion.
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The perimeter of a regular pentagon is 17.5 inches. What is the length of each side? 3.5 in. 4 in. 5.8 in. 87.5 in.
Answer:
3.5 in.
Step-by-step explanation:
17.5 ÷ 5 = 3.5
The requried length of each side of the pentagon is 3.5 inches.
What is the perimeter of the Pentagon?The perimeter of the pentagon is the measure of its circumference i.e. the sum of its 5 sides.
Here,
A regular pentagon has five equal sides. To find the length of each side of the pentagon, we need to divide the perimeter by 5.
Length of each side = Perimeter/5
Length of each side = 17.5 inches / 5
Length of each side = 3.5 inches
Therefore, the length of each side of the pentagon is 3.5 inches.
So the answer is 3.5 in.
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6 times a number decreased by 5
Answer:
[tex]6n - 5[/tex]
Step-by-step explanation:
Step 1: Rewrite as a numerical expression
[tex](6 * n) - 5[/tex]
[tex]6n - 5[/tex]
Answer: [tex]6n - 5[/tex]
If needed, solve
[tex](6 * n) - 5 + 5 = 0 + 5[/tex]
[tex]6n / 6 = 5 / 6[/tex]
[tex]n = 5/6[/tex]
Answer:It is the result is 7 more than the sum of 3 times the number and 13.
Step-by-step explanation:
A rectangle is 4 times longer than it is wide. The perimeter of the rectangle is 30 cm. Find the dimension of the rectangle.
Width is 3 cm and length is 12 cm
Step-by-step explanation:
Step 1: Let the width of the rectangle be x. Then the length = 4x. Find the dimensions if perimeter = 30 cmPerimeter of the rectangle = 2 (length + breadth)
30 = 2(x + 4x)
30 = 10x
⇒ x = 30/10 = 3
⇒ 4x = 12
write an equation of the line that is parallel to 5x+20y=10 and passes through the point (8,3).
Answer:
20y = -5x + 10
y = -1/4x + 1/2
y - 3 = -1/4(x - 8)
y - 3 = -1/4x + 2
y = -1/4x + 5
Step-by-step explanation:
Does 0=-4p+4p have a solution
Answer:
No it doesn’, the result will be 0 as -4 + 4 = 0
Try it on your calculator and see
Step-by-step explanation:
Answer:
Simplifying
0 = -4p + 4p
Combine like terms: -4p + 4p = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.
Step-by-step explanation:
The area of a trampoline is 49 pi sqared. What's the diameter of the trampoline?
Answer:
The diameter is 14
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
We know the area is 49 pi
49 pi = pi r^2
Divide each side by pi
49 pi/ pi = pi r^2/pi
49 = r^2
Take the square root of each side
sqrt(49) = sqrt(r^2)
7 =r
We want the diameter
d = 2r
d = 2*7
d = 14
A cone has a radius of 2 and it’s volume is 29 cubic units. What is the height of the cone ?
Answer: v= pi.r².h/3
29= 22/7.2².h/3
29×3×7/22×4= h
609/88=h
6.92=h
Step-by-step explanation:
Can someone help me pls
Answer: -17/15 or simplified as a mixed number -1 2/15
Step-by-step explanation: First convert both -4/5 and 1/3 to fifteenths. Multiply -4/5 by 3/3 to get -12/15. Multiply 1/3 by 5/5 to get 5/15. Then subtract 5/15 from -12/15. -12-5=-17 (numerator).
find the cube roots of -8. Write the answer in a+bi form
Answer:
[tex]-2 + 0i[/tex]
Step-by-step explanation:
Step 1: Find the answer
[tex]\sqrt[3]{-8}[/tex]
[tex]\sqrt[3]{(-2)^3}[/tex]
[tex]-2[/tex]
[tex]-2 + 0i[/tex]
Answer: [tex]-2 + 0i[/tex]
a and b are complementary angles. Za measures 44°.
What is the measure of b?
Answer:
46
Step-by-step explanation:
So angle b equals to 46 degrees
Complementary angles equal to 90 degrees when added together. So set the equation to 90.
44+x=90
Subtract 44 from both sides
x=46
pls help me i’ll give u a brainlest
Answer:
9 square feet.
Step-by-step explanation:
First, set up this equation: 486 = 6(x^2)
Divide 486 by 6 to get 81, and square root both sides to get x = 9.
Sari is factoring the polynomial 2x2 +5x+3. If one factor is (x+1), what is the other factor?
0 2X-3
2x+3
3x-2
ard
3x+2
s Notebo..
8-19-
TER 2:
12-20,
01-07
Answer:
2x + 3
Step-by-step explanation:
Given
2x² + 5x + 3
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × 3 = 6 and sum = 2 + 3 = 5
The factors are 2 and 3
Use these factors to split the x- term
2x² + 2x + 3x + 3 ( factor the first/second and third/fourth terms )
= 2x(x + 1) + 3(x + 1) ← factor out (x + 1) from each term
= (x + 1)(2x + 3) ← in factored form
Thus the other factor is (2x + 3)
Answer:
2x+3
Step-by-step explanation:
It's B on edg
A 3" × 5" rectangle is dilated by a scale factor of 2. what will its new perimeter be?
Answer:
6" × 10"
Step-by-step explanation:
Because the dilation is a whole number we know the rectangle will be enlarging, and we are told this is by two. So you will take and multiply the dimensions by two.
(2 × 3") × (2 × 5")
Hope this helps :) Please mark brainliest if you see fit :)
Macy has saved up $50 to buy concert tickets, but the tickets cost $125. She is able to earn $15 per day by walking her neighbors dogs. How many days will Maisie have to walk the dogs to an enough money to buy the tickets? let “d” equal the number of days worked. also , what is the equation you would use to solve this ??
Answer:
125=15d+50
Step-by-step explanation:
Subtract what she has from what she needs so 125-50=75
Then divide that by the amount of money she makes a day to figure out how many days she'll need to work so, 75/15=-5
She will have to work 5 days in order to have enough to buy her ticket
Answer:50+15d=125
5 days
Step-by-step explanation:
Subtract 50 from both sides to get 15d=75 then divide both sides by 15 and the answer is 5 days
Simplify -10(10w-6-w)-w
Answer:
-91w + 60
Step-by-step explanation:
to simplify this -10(10w-6-w)-w
we have,
-10(10w-6-w)-w
-100w + 60 + 10w - w
-91w + 60
Which of the following are examples of exponential decay? Select all that apply.
Answer:A,D,F,G
Step-by-step explanation:
All of these say either decrease, depreciate, or decay which all mean exponential decay
When Samantha was 10 years old, Luis was 15 years old. When Samantha was 13 years old, Luis was 18 years old. When Samantha was 17 years old, Luis was 22 years old. How old is Luis when Samantha is 34 years old?
Answer:
39
Step-by-step explanation:
I need help plz it is for khan academy
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 1)
m = [tex]\frac{1-0}{0+1}[/tex] = 1