Answers
Answer:
MPO=MNO
NPO=MNP
Step-by-step explanation:
MPO=MNO because MPO opposite angles of a parallelogram are congruent.
MNO is the top right angle of the parallelogram and so the opposite side of that is MPO or OPN whatever way you want to write it.
NPO=MNP because they are alternate interior angles. (If you don't understand what that means I can come back and explain it)
Related Questions
Find the amount to be paid at the end of eight years that is equivalent to a payment of $400 now and a payment of $300 at the end of four years
(a) if 6% simple interest is earned from the date each payment is made and use a comparison date of right now.
(b) if 6% simple interest is earned from the date each payment is made and use a comparison date of eight years from now.
(c) Explain why the fact you get different answers in parts (a) and (b) does not contradict the fact that equations of value at different times are equiv- alent equations.
(d) Repeat parts (a) and (b) except replace "simple interest" with "compound interest."
Answers
Answer:
A) $964
B) $651.35
C) The difference in value for part a and part b is due to time factor and the accumulated interest hence it is better to pay $651.35 right now than to pay $964 when you pay $400 now and $300 in four years time
D) $1016.28 , $637.63
Step-by-step explanation:
lets assume the amount to be paid in eight years that is equivalent to payment of $400 now and a payment of $300 at the end of four ( 4 ) years ( FV )
a) since a 6% interest is earned each day of every payment
will use this formula : S = P( 1 + rt )
therefore $400 paid today will a simple interest of = 400 * 0.06 * 8 = $192
$300 paid at the end of four years will earn a simple interest of = 300*0.06*4 = $72
hence FV = $ ( 400 + 192 ) + $ ( 300 + 72 ) = $964
b) when compared with eight years from now
PV = [tex]\frac{FV}{1+rt}[/tex] = ($964) / ( 1 + (0.06*8) = $651.35
C) The difference in value for part a and part b is due to time factor and the accumulated interest hence it is better to pay $651.35 right now than to pay $964 when you pay $400 now and $300 in four years time
D) Repeating parts (a) and (b) using compound interest
using the formula : S = P( 1 + r )^t
therefore $400 paid today will have a compound interest of
= 400 ( 1.06)^8 = $637.54
$300 paid at the end of four years will earn a compound interest of
= 300 ( 1.06 ) ^4 = $378.74
hence FV = 637.54 + 378.74 = $1016.28
when compared with eight years from now
= [tex]\frac{FV}{(1+r)^t}[/tex] = ( 1016.28 ) / ( 1.06 ) ^8 = $637.63
The function f(x) = -3/4x^2 +9/2x models, in feet, the shape of a doorway arch on a historic building. How high is the
opening of the arch?
6.75 feet
3 feet
6 feet
7.25 feet
Answers
Write the slope-intercept form of the equation of each line.
example:
m= ( answer )
b= (answer )
equation= (answer)
Answers
Answer:
1) 2/5
2) 2
3) 0,1
4)-2,0
5)-1
6)1,-2
7)1,0
8) 3,-1
How many solutions exist for the system or equations graphed below
Answers
Answer:
One
Step-by-step explanation:
The solutions to a system of equations are where the lines intersect. This system will only ever intersect once, therefore there is only one solution. You can see the solution at the top right.
The number of solutions that exists for the given system of equations is one.
What does a System of Linear Equations define?Linear equations involve one or more expressions including variables and constants and the highest exponent of the variable is 1.
System of linear equations involve two or more linear equations.
Given a graph of a system of equations.
The graph consists of two lines. So they are linear functions.
A system of linear equations can have one or infinitely many solutions and no solutions at all.
Solution of a system is the intersection point of the graph.
Here there is only one intersection point.
Hence the number of solutions is 1.
Learn more about System of Equations here :
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Kinsey purchased a bushel of large apples that weigh about 48 pounds.the bushel contains 96 apples what is the weight of one apple
Answers
Answer:
o8uhdoularsdjgv
Step-by-step explanation:
A train travels at 45 mph for 3 h and then increases its speed to 55 mph for 2 more hours. How far does the train travel in the 5-hour period
Answers
Answer:
245milesStep-by-step explanation:
Step one:
given that the first 3 hours the train travels at a speed of 45 mph.
i.e Time = 3 hours
speed =45 mph
distance=?
we know that speed = distance/time
distance= speed*time
distance= 45*3
distance=135miles
Step two:
For the nex two hours it travels at 55 mph
i.e time= 2hours
speed= 55mph
distance=?
distance= speed*time
distance= 2*55
distance= 110mile
Step three:
Hence for a total of 5 hours drive, the total distance covered is
135+110= 245miles
I will give brainliest :)
True or False:
A solid dot on a number line graph indicates that the
given number is included as a possible solution to the
inequality
• True?
• False?
Answers
Answer:
True
Step-by-step explanation:
If it's a open dot it can't be a possible solution. Solid dots can be a possible solution.
if a scale drawing of a car is 3 inches and the real car is 15 feet what is the scale and scale factor
Answers
Step-by-step explanation:
Given parameters:
Scale drawing of the car = 3 inches
Real car = 15feet
Unknown:
Scale = ?
Scale factor = ?
Solution:
The scale is the ratio of the model dimension to the real-life representation.
In this problem, express both quantities in the same unit;
1 foot = 12 inches
15 feet = 15 x 12 = 180inches
Scale;
drawing of the car : Real car
3 inches : 180 inches
Scale 1 inches on drawing is 60inches in real life
Scale factor;
[tex]\frac{real life dimension}{drawing dimension}[/tex] = [tex]\frac{60 inches }{1inches }[/tex] = 60
The scale factor = 60
Use additive inverses and their properties to find the equivalent expressions.
6-(-3)
-6+(-3)
-6-(-3)
OOO
- 6+3
-6-3
6+(-3)
6-3
6+3
Answers
Answer:
-6+(-3) boom that the answer
he triangles shown are congruent by the SSS congruence theorem.
3 rigid transformations are shown. Triangle A B C is first rotated about point C to form triangle A prime B prime C. Triangle A prime B prime C is then shifted down to form triangle A double-prime B double-prime C prime. Triangle A double-prime B double-prime C prime is reflected across A double-prime B double-prime to form triangle A double-prime B double-prime C double-prime
The diagram shows the sequence of three rigid transformations used to map TriangleABC onto TriangleA"B"C". What is the sequence of the transformations?
rotation, then reflection, then translation
rotation, then translation, then reflection
translation, then reflection, then rotation
translation, then rotation, then reflection
Answers
Answer:
the answer is b
Step-by-step explanation:
i just took the test
Answer:
The answer is b
Step-by-step explanation:
edge 2020
Plz help what the answer
Answers
Find the slope of the line that passes
through these two points.
Answers
Answer:
1/5
Step-by-step explanation:
[tex]\frac{2-1}{3--2} = \frac{1}{5}[/tex]
Answer: 1/5
Step-by-step explanation: Following our hint,
let's start with the slope formula.
m = y₂ - y₁ / x₂ - x₁
We take the second y minus the first y over the second x minus the first x.
So we have m = 2 - 1 / 3 - (-2) or 1 / 5.
So our slope is 1/5.
If n = 13, then P(t > 2.2) < 0.025
True or false
Answers
Answer:
true
Step-by-step explanation:
helpppp! I dont know what to do. Im not very good with slopes LOL.
Answers
Answer:
A= 14
B= -6
C= 2/5
D= 4/3
E= -2
F= 12
Step-by-step explanation:
If a function is defined by the formula y=1/2x + 3 and its domain is given by the set {-4,0,8}, then which of the following sets gives the function's range?
Answers
Answer:
y = {1, 3, 7}
Step-by-step explanation:
Given
y = ½x + 3
Domain: {-4, 0, 8}
Required
Determine the range of the function
To do this, we simply substitute each value of the domain in the given expression
We start with the first
Substitute -4 for x in y = ½x + 3
y = ½ * -4 + 3
y = -2 + 3
y = 1
Then 0
Substitute 0 for x in y = ½x + 3
y = ½ * 0 + 3
y = 0 + 3
y = 3
Lastly, 8
Substitute 8 for x in y = ½x + 3
y = ½ * 8 + 3
y = 4 + 3
y = 7
Hence, the range of the function is:
y = {1, 3, 7}
Answer:1,3,7
Step-by-step explanation:
PLEASE HELP!!
The graph shows the cost C in dollars of W points of blueberries. Select ALL the true statements.
A. 1 pound of blueberries cost $2.75
B. 2.75 pounds of blueberries cost $1
C. 5 pounds of blueberries cost $15.30
D. 12 pounds of blueberries cost $33
E. The point (3,9) is on the graph of the proportional relationship
Answers
Answer:
A and D
Step-by-step explanation:
-3(2m+4)=4(5/4-m/2)
whats is the solution to the equation?
Answers
Answer:
m=− 4/17
also use this site called cymath.com thats were i get my answers it works it out for you too :)
Step-by-step explanation:
1 Expand.
-6m-12=5-2m−6m−12=5−2m
2 Add 6m6m to both sides.
-12=5-2m+6m−12=5−2m+6m
3 Simplify 5-2m+6m5−2m+6m to 5+4m5+4m.
-12=5+4m−12=5+4m
4 Subtract 55 from both sides.
-12-5=4m−12−5=4m
5 Simplify -12-5−12−5 to -17−17.
-17=4m−17=4m
6 Divide both sides by 44.
-\frac{17}{4}=m−
4
17
=m
7 Switch sides.
m=-\frac{17}{4}m=−
4
17
The Los Angeles area experiences many earthquakes. In 1994, the Northridge earthquake measured 6.7 on the Richter scale. In 2014, Los Angeles experienced an earthquake that measured 5.1 on the Richter scale. Compare the intensities of the two earthquakes. Use a logarithmic model to solve. Round to the nearest whole number.
Answers
Answer:
[tex]I_1=40I_2[/tex]
Step-by-step explanation:
[tex]M_1[/tex] = Magnitude of 1994 earthquake = 6.7
[tex]M_2[/tex] = Magnitude of 2014 earthquake = 5.1
[tex]I_1[/tex] = Intensity of 1994 earthquake
[tex]I_2[/tex] = Intensity of 2014 earthquake
[tex]I_0[/tex] = Zero-level earthquake the same distance from the epicenter = 0.001 mm
Magnitude is given by
[tex]M_1=\log(\dfrac{I_1}{I_0})\\\Rightarrow I_010^{M_1}=I_1\\\Rightarrow I_1=I_010^{6.7}[/tex]
[tex]M_2=\log(\dfrac{I_2}{I_0})\\\Rightarrow I_010^{M_2}=I_2\\\Rightarrow I_2=I_010^{5.1}[/tex]
Dividing the above intensities with each other we get
[tex]\dfrac{I_1}{I_2}=\dfrac{I_010^{6.7}}{I_010^{5.1}}\\\Rightarrow \dfrac{I_1}{I_2}=39.81\approx 40\\\Rightarrow I_1=40I_2[/tex]
The intensity of the earthquake in 1994 was 40 times stronger than the earthquake in 2014.
• Which factors do 3 and 9 have in common? Choose ALL that apply.
1
2
3
4
5
6
7
8
9
10
Answers
Answer:
3 and 9 both have factors 1 and 3 in common.
Explanation:
A factor is a number that divides into another number exactly and without leaving a remainder. For instance, factors of 15 are 3 and 5, because 3×5 = 15. Some numbers have more than one factorization (more than one way of being factored). For example, 12 can be factored as 1×12, 2×6, or 3×4.
I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking my answer as 'Brainliest.' Have a wonderful day.
Find a point-slope equation of the line having the given slope and containing the given point.
m=−6; (6,4)
Answers
Answer:
[tex]\boxed {y - 4 = -6(x - 6)}[/tex]
Step-by-step explanation:
Since you already have the given slope and the given point, use the Point-Slope Formula to make it a Point-Slope Form:
[tex]y - y_{1} = m(x - x_{1})[/tex]
Slope: [tex]m[/tex]
First Point: [tex](x_{1}, y_{1})[/tex]
-Substitute both the given slope and the given point:
Slope: [tex]-6[/tex]
First Point: [tex](6,4)[/tex]
[tex]\boxed {y - 4 = -6(x - 6)}[/tex] (Substituted in Point-Slope Form)
Answer:
y-4 = -6(x-6)
Step-by-step explanation:
Pre-SolvingGivenWe are given that a line has a slope of -6 and a point of (6, 4).
We want to find the equation of this line in point-slope form.
FormulasPoint-slope form is given as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point.
SolvingSubstitute the value of m (which is -6) into the formula for point-slope form.
[tex]y-y_1=-6(x-x_1)[/tex]
Now, substitute 6 and 4 as [tex]x_1[/tex] and [tex]y_1[/tex] respectively.
[tex]y-4=-6(x-6)[/tex]
What is the slope of a line that passes through the points (0, 1) and (2, 6)?
please answer fast as can
Answers
Answer:
[tex]\boxed {\boxed {\sf m=\frac{5}{2}}}[/tex]
Step-by-step explanation:
The slope formula is the change in y over the change in x, or:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where (x₁,y₁) and (x₂, y₂) are the points the line passes through.
The points given are (0,1) and (2,6). Therefore:
[tex]x_1=0\\y_1=1\\x_2=2\\y_2=6[/tex]
Substitute the values into the formula.
[tex]m=\frac{6-1}{2-0}[/tex]
Solve the numerator.
[tex]m=\frac{5}{2-0}[/tex]
Solve the denominator.
[tex]m=\frac{5}{2}[/tex]
This fraction can not be simplified further, so it is our answer.
The slope of the line is 5/2
Answer:
m=5/2
Step-by-step explanation:
We know that,
[tex]Slope\ (m)=\frac{Rise}{Run}\\Slope\ (m)=\frac{y_2-y_1}{x_2-x_1} \\As here,\\x_1=0, x_2=2\\y_1=1, y_2=6\\Hence,\\Slope(m)\ of\ the\ following\ line\ =\frac{6-1}{2} =2.5[/tex]
In the model for exponential growth or decay, the amount, or size, at t=0 is represented by __ the amount, or size, at time t is represented by __
Answers
2.A0^ekt
In the model for exponential growth or decay, the amount, or size, at t=0 is represented by [tex]N=N_{0}[/tex]. and at time t is represented by [tex]N=N_{0}e^{kt}[/tex]
Let us consider that [tex]N_{0}[/tex] is the initial amount and N is represent that amount after growth or decay in time t .
Model for exponential growth or decay is,
[tex]N=N_{0}e^{kt}[/tex]
Amount at t=0 is,
[tex]N=N_{0}e^{k*0}=N_{0}[/tex]
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Simplify the given expression. 2(-36-3i)+(5+2i)(12-2i)
Answers
Answer:
-8+8i
Step-by-step explanation:
(-72-6i) + (60-10i+24i-4i^2)
(-72-6i) + (60+14i+4)
-72+64+8i
-8+8i
A deep ocean trench is 30,000 feet deep How deep is that in miles? Round your answer to two decimal places. (There are 5,280 feet in a mile.)
Answers
If a mile =5,208 ft that means you need to divide 30,000÷5,280 to get your answer!
Step-by-step explanation:
30,000÷5,280= 5.68mil
solve for x miles
x = 5.68 miles
The slope of a line that passes through (-2,5) and (1. 7) in simplest form is
Answers
hope this helps :)
20 less than the sum of eight and a number?
Answers
Answer:
(8 + x) - 20
Step-by-step explanation:
Answer:
The answer is (8 + x) - 20
Step-by-step explanation:
5 x 4000 step by step for khan
Answers
Answer:
Step-by-step explanation:
5×4000
=20,000 answer
Pls help I need it with right answers
Answers
spel
Which approach provides technical and financial assistance for natural resource management?
The
-based approach provides technical and financial assistance for natural resource management
Phzjs
Answers
Answer:
Ecosystem
Step-by-step explanation:
edmentium <3
Transformations of functions PLS HELP
Answers
Answer:
B. y = f(x-4)
Step-by-step explanation:
