Answer:
15x
Step-by-step explanation:
Name the property that the statement illustrates.
Answer:
Transitive property of segment congruence
Step-by-step explanation:
The reflexive, symmetric, and transitive properties are the criterion for an equivalence relation. In terms of congruence,
The reflexive property states that [tex]\overline{XY} \cong \overline{XY}[/tex] (a segment is congruent to itself)The symmetric property states that if [tex]\overline{AB} \cong \overline{CD}[/tex], then [tex]\overline{CD} \cong \overline{AB}[/tex] (this is essentially commutativity)The transitive property states that if [tex]\overline{AB} \cong \overline{CD}[/tex] and [tex]\ovelrine{CD} \cong \overline{EF}[/tex], then [tex]\overline{AB} \cong \overline{EF}[/tex].In terms of general equivalence relations,
The reflective property states that [tex]a = a[/tex].The symmetric property states that if [tex]a=b[/tex], then [tex]b=a[/tex].The transitive property states that if [tex]a=b[/tex] and [tex]b=c[/tex], then [tex]a=c[/tex].That's the transitive property.
The fact that congruence is transitive means exactly what you have written: if A is congruent to B and B is congruent to C, then you can "bridge" from A to C.
The proportional relationship between the number of inches a candle has burned away, b, at any time in hours, t, can be represented by the equation b = 0.25tb=0.25t. What is the constant of proportionality from the time in hours to the inches of candle that has burned away?
Answer:
k = 0.25t^2
Step-by-step explanation:
Given the equation :
b = 0.25t
b = number of inches that has burned away
t = time
From our knowledge of variation;
Since candle length will decrease with time ;
b α 1/ t
b = k/t
Where k is the proportionality constant
Comparing the equation :
b = 0.25t
k/t = 0.25t
k = 0.25t^2
The mayor of melvins town choose 160 students form his school to attend a city debate. This amount is no more than 1/4 of the students in melvins school. What is the least possible number of student that attended melvins school
Answer: 640 students.
Step-by-step explanation:
given data:
number of student chosen to attend by the mayor = 160
amount this student represents of the total population = [tex]\frac{1}{4}[/tex]
solution:
since [tex]\frac{1}{4}[/tex] was chosen which is 160 this means that [tex]\frac{1}{4} is \geq 160[/tex]
therefore;
[tex]\frac{1}{4} = 160\\[/tex]
multiply both sides by 4
[tex]\frac{1}{4} . 4 = 160 .4\\= 640[/tex]
the least number of students that attend melvins school is 640.
Bananas cost $0.79 a pound. Mrs. Huff bought p
pounds of bananas. She paid a total of $7.90.
Write an equation to represent the situation.
Answer:
p x 0.79 = 7.90 or 0.79 x p =7.90
find the sum:
13,16,19,...301
thanks!
Answer:
349
Step-by-step explanation:
please give thanks by clicking the heart :)
The rectangle shown
HELP!!!
Which question is not a linear equation?
1. -4v +2w = 7
2. x/4 = y
3. x = -5
4. 2/x + 3/y = 6
Pls help really fast I don't know this!!!!!
I think it's (3,4) but I am not confident so please be understanding
Answer:
(3, 1 )
Step-by-step explanation:
The centre of the circle is at the midpoint of the diameter.
Given endpoint (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = (9, 7) and (x₂, y₂ ) = (- 3, - 5 ) , then
midpoint = ( [tex]\frac{9-3}{2}[/tex], [tex]\frac{7-5}{2}[/tex] ) = ( [tex]\frac{6}{2}[/tex], [tex]\frac{2}{2}[/tex] ) = (3, 1 )
Thus centre of circle = (3, 1 )
At Stop and Shop this week, grapes the price of grapes is 2.5 pounds (lbs) for $6.70. 1 How many pounds of grapes can you buy for $9.00? Clearly show your math reasoning
Answer: he average retail price of grapes is $2.09 per pound, according to United States Department of Agriculture's Economic Research Service, with most bags weighing in around two pounds. That's where it's easy to get tricked: Grapes for $3.99 per pound don't sound so bad, but a 2.5-pound bag would set you back nearly $10.
Step-by-step explanation:
The terminal side of Ø is in quadrant II and sin ø = 5/13 What is cos ø?
A. 5/12
B. -12/13
C. -5/12
D. 12/13
Step-by-step explanation:
In Quadrant II, cosine is negative.
We know that sin²x + cos²x = 1, so:
cosx = sqrt[1 - sin²x]
= sqrt[1 - (5/13)²]
= sqrt(144/169)
= -12/13 (since cosx is negative here)
The answer is -12/13. (B)
Option B is correct.
Quadrants and the "cast" Rule:In the first quadrant, the values for sin, cos, and tan are positive.In the second quadrant, the values for sin are positive only.In the third quadrant, the values for tan are positive only.In the fourth quadrant, the values for cos are positive only.
According to the given question
We have, sin ∅ = 5/13
From the trigonometric identities we know that
[tex]sin^{2}[/tex]∅ + [tex]cos^{2}[/tex]∅ =1
substitute the value of sin∅ in the above identity
[tex](\frac{5}{13} )^{2} + cos^{2}[/tex]∅ =1
⇒ [tex]\frac{25}{69} +cos^{2}[/tex]∅ =1
⇒ [tex]cos^{2}[/tex]∅ = 1 - [tex]\frac{25}{169}[/tex]
⇒ [tex]cos^{2}[/tex]∅ = [tex]\frac{169-25}{69} =\frac{144}{169}[/tex]
⇒[tex]cos[/tex]∅ = [tex]\sqrt{\frac{144}{169} }[/tex]
⇒cos∅ = ±[tex]\frac{12}{13}[/tex]
Since, ∅ is in quadrant II, then cos<0
⇒ cos∅ = -[tex]\frac{12}{13}[/tex]
Hence, option B is correct.
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what is the slope intercept form of a linear function
Answer:
In the slope-intercept form you use the slope of the line and the y-intercept to express the linear function. ... y=mx+b. Where m is the slope and b is the y-intercept.
Step-by-step explanation: I hope this helps
Answer:
y=mx + b
Step-by-step explanation:
A bird goes from a higher location to a lower location at a rate of 3 meters per second. Which equation models the change in the bird's position at 120 seconds?
a. 120(-3) = -360
b. 120 x 3 = 360
c. (-120)(-3) = -360
d. 120(-3) = 360
Answer:
D
Step-by-step explanation:
We know that every second the bird's position lowers by 3(-3) so the equation for it is option D
Answer:
its A i got got right on my test
Step-by-step explanation:
A.P.E.X.
15. Write the first four terms of the sequence:
a. f(n) = −2[tex]n^{2}[/tex] + 4
b. f (1) = 7, f(n)= −4 ∙ f(n-1) − 1 + 15
Answer:
16 17
Step-by-step explanation:
Please ASAP I WILL MARK YOU AS BRANLIEST
The area of a garden plot can be represented by the expression 84z - 54. The garden will be divided into six sections for planting six different vegetables. The sections will be equal in area. Write an expression that represents the area of each section.
Answer:
14z-9
Step-by-step explanation:
[tex]\frac{84z-54}{6}[/tex]
12x + 10x what is the awnser
Answer:
22x?
Step-by-step explanation:
is there more to this question? if not its just simple addition and then add "x" at the end
What is the slope of the line?
I need help with this
Step-by-step explanation:
income income earned working 5 hours is $50
(1 pt
Find a formula for P = f(t), the size of the population that begins in year t=0 with 2140 members and decreases at a 3.8% annual rate. Assume
that time is measured in years
Answer:
The formula f(t) will be:
[tex]\:f\left(t\right)=2150\left(0.962\right)^t[/tex]
Step-by-step explanation:
We know that exponential decline in Maths can be termed as a consistent reduction of an amount by percentage over a certain period of time.
It can be expressed using the formula
[tex]f\left(t\right)=\:a\:\left(1-b\right)^t[/tex]
here
f(t) represents the final amount
a represents the original amount
b represents the decay factor
t represents the amount that has passed
Now, map our problem using the same concept formula
as
2150 members are at the beginning, so
a = 2150
as the size of the population has been experiencing an annual decline of 3.8%. so
b = 3.8%= 0.038
so substituting b = 0.038 and a = 2150
[tex]P=f\left(t\right)=\:a\:\left(1-b\right)^t[/tex]
[tex]\:f\left(t\right)=2150\left(1-0.038\right)^t[/tex]
[tex]\:f\left(t\right)=2150\left(0.962\right)^t[/tex]
Therefore, the formula f(t) will be:
[tex]\:f\left(t\right)=2150\left(0.962\right)^t[/tex]
Pleaseeeee helpppp !!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
x = 6
Step-by-step explanation:
This means that they are equivalent to each other.
10 = 30 *Multiply by 3
2 = x
Since we multiplied by 3 to get 30, x is just 2 mulitplied by 3.
x = 6
Answer:
Hi
the answer would be:
10/40 = 2/2+x => if you solve the equation, it'll be equal to : x = 6
I hope that it's correct.
Step-by-step explanation:
I would think your section of wilderness will be satisfied is the new wildlife refuge has its dimensions are 5×10 to the fifth power meters by 4×10 to the 4th m find the area of land in square meters
Answer:
2×10¹⁰ m²Step-by-step explanation:
Dimensions of rectangle:
5×10⁵ m and 4×10⁴ mThe area is the product of the two dimensions:
5×10⁵ m × 4×10⁴ m =20×10₉ m² =2×10¹⁰ m²Similar to changes in elevation, temperature changes are often expressed as sums and differences of positive and negative rational numbers.
Search the Internet for a website that gives the average monthly high and low temperatures (in degrees Celsius) in Nuuk, Greenland, and in Isla Hoste, Chile. Then answer the following questions based on your research. Answers will vary depending on the website you selected. Document the website you used in the Resources section at the end of this activity.
Part A
What are the average high and low temperatures (in degrees Celsius) for Nuuk in January?
Part B
What are the average high and low temperatures (in degrees Celsius) for Isla Hoste in August?
Part C
In Nuuk, what is the average net change in temperature, from the high to the low, in January?
Part D
In Isla Hoste, what is the average net change in temperature, from the high to the low, in August?
Part E
Which city experiences a larger absolute change between the high temperature and low temperature, Nuuk in January or Isla Hoste in August?
Part F
On a thermometer, how many times farther below the freezing point of water (0°C) is the January low for Nuuk than the August low for Isla Hoste?
Answer:
A.In Nuuk, Greenland, in January, the average high-temperature is -4.6°C (23.7°F), and the average low-temperature is -10°C (14°F).
B. the average high-temperature is 5.7 degrees celsius and average low temperature is 3.3 degrees celsius
C. 4 degrees celsius
D. 39 degrees fahrenheit
E. Isla Hoste in august
F.On the average, the average low in January for Nuuk is 10/3 or 3.333 times farther below the freezing point of water than the average low for Isla Hoste in August.
Step-by-step explanation:
Hope this helps OwO
a) The average high and low temperatures are -8°C and -27°C. b) The average high and low temperatures are 13°C and 7°C. c) The average net change in temperature is -19°C. d) The average net change in temperature is 6°C. e) Nuuk in January experiences a larger absolute change. f) The January low for Nuuk is 3.8 times farther below the freezing point of water than the August low for Isla Hoste.
Part A
The average high temperature in Nuuk in January is -8°C and the average low temperature is -27°C.
Part B
The average high temperature in Isla Hoste in August is 13°C and the average low temperature is 7°C.
Part C
The average net change in temperature in Nuuk in January is -27°C - (-8°C) = -19°C.
Part D
The average net change in temperature in Isla Hoste in August is 13°C - 7°C = 6°C.
Part E
Nuuk in January experiences a larger absolute change between the high temperature and low temperature, with a net change of -19°C, compared to Isla Hoste in August, with a net change of 6°C.
Part F
The January low for Nuuk is -27°C, which is 27°C below the freezing point of water. The August low for Isla Hoste is 7°C, which is 7°C below the freezing point of water. Therefore, the January low for Nuuk is 27 / 7 = 3.8 times farther below the freezing point of water than the August low for Isla Hoste.
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Can someone help me?
Answer:
sorry bruv wish you the best i will pray for you
Step-by-step explanation:
Help!!
Find the solution of this system of equations
x- 10y = -59
-4x + 10y = 86
Answer:
x - 10y = -59
(+)-4x + 10y = 86
-3x = 27
x = -9
substitute x into x - 10y = -59
-9 -10y = -59
-10y = -50
y = 5
the equation of the line through (3 -4) with slope 2/3 is:
WILL GIVE BRAINLIST
Answer:
[tex]y = \frac{2}{3}x - 6[/tex].
Step-by-step explanation:
(3 , -4) ; slope(m) = 2/3
y - y1 = m (x -x1)
[tex]y - [-4] = \frac{2}{3}(x - 3)\\\\y + 4 = \frac{2}{3}x - 3*\frac{2}{3}\\\\y +4 = \frac{2}{3}x-2\\\\ y = \frac{2}{3}x - 2 - 4\\\\ y = \frac{2}{3}x - 6[/tex]
Ants have 6 legs. Elena and Andre write equations showing the proportional relationship between the number of ants, , to the number of ant legs . Elena writes a= 6L and Andre writes l=1/6a . Do you agree with either of the equations? Explain your reasoning.
Answer: Elena would be the correct answer
Step-by-step explanation: since ants have 6 legs and have 1 body we know that there are 6 legs for every 1 ant. hope this helps
Translate the inequality and solve. Three times a number is less than or equal to six.
Answer:
x ≤ 2
Step-by-step explanation:
We can write out the inequality as: 3(x) ≤ 6
You have to divide 3 from both sides, so x ≤ 6/3 which is x ≤ 2.
Please help!
Melissa's penny bank is 3/10 full. After she adds 240 pennies, it is 4/5 full. How many pennies can Melissa's bank hold?
The air pressure P is inversely proportional to the altitude h. write the related variation equation
Step-by-step explanation:
P * h = k, where k is a real constant.
PLEASE HELP ASAP!!!
Find the values of the variables and round to the nearest hundredth if necessary.
Answer:
x = 1.73
y = 2.45
z = 1.41
Step-by-step explanation:
1/z = z/2
z^2 = 2
z = sqrt(2)
1^2 + z^2 = x^2
1 + 2 = x^2
x^2 = 3
x = sqrt(3)
z^2 + 2^2 = y^2
2 + 4 = y^2
y^2 = 6
y = sqrt(6)
x = 1.73
y = 2.45
z = 1.41
The mean (average) weight of three dogs is 38 pounds. One of the dogs, Shaggy, weighs
46 pounds. The other two dogs, Eda and Bruno, have the same weight. Find Eda's weight.