Answer:
n = 9 / 2 or 4.5
Step-by-step explanation:
2/3 = 3/N
cross multiply
2 x n = 2n
3 x 3 = 9
2n = 9
divided both sides by 2
2n / 2 = 9 / 2
n = 9 / 2
Show that if AB=DC in the figure below, then AB is parallel to CD.
AB is parallel to CD because the figure is a parallelogram and opposite sides of a parallelogram are parallel.
What are the properties of a parallelogram?Note, the figure is a parallelogram
Some properties of a parallelogram are:
The opposite sides of a parallelogram are parallel and equal.The opposite angles are equal.The consecutive angles are supplementary, that is, the sum up to 180°The two diagonals divide each other.if sides AB = DC, then AB is parallel to CD because they are opposite to each other and opposite sides of a parallelogram are parallel.
Hence, AB is parallel to CD because the figure is a parallelogram and opposite sides of a parallelogram are parallel.
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Find the value marked b?
Based on the alternate interior angles theorem, the value marked b is calculated as: 190°
What is the Alternate Interior Angles Theorem?The theorem states that two alternate interior angles are always congruent to each other.
The measure of angle b based on the alternate interior angles theorem would be:
m∠b = 50 + (320 - 180)
m∠b = 190°
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Function g is a transformation of the parent exponential function, . Which graph shows function g?
Answer:
the answer is b! i got the same question before!
Step-by-step explanation:
Write the equation of the conic section shown below.
Answer:
f(x) = -5/81( x^2 -2x - 80)
Step-by-step explanation:
The zeroes are -8 and 10 so we can write :
f(x) = -a(x - 10)(x + 8)
( negative is because the parabola opens downwards).
The maximum value is at the vertex = 5.
f(x) = -a(x^2 - 2x - 80)
= a[(x - 1)^2 - 1 - 80)
= a(x - 1)^2 - 81a
As the vertex is at f(x) = 5
81a = 5 so a = 5/81
So the equation is
f(x) = -5/81( x^2 -2x - 80)
You might need:
Calculator
f(t) = 2 + 19t + 60
1) What are the zeros of the function?
Write the smaller t first, and the larger t second.
smaller t=
larger t =
2) What is the vertex of the parabola?
Evaluate the equation. H divided by 3 = 69 2/3
Answer:
138
Step-by-step explanation:
Do the inverse. 69 2/3 multiplied by 3 is 138.
In "The Emperor's New Clothes" what does the opening tell you about the characters?
A. Emperor is the main character
B. King is the main character
C. No main character is introduced
D. Queen is the main character
The product of -5/7 and -2/5 is
Answer:2/7
Step-by-step explanation:
TThe solution is in the image
67/100 simplificado
1/4 simplificado
[tex] \sf{La \: \: fracción \: \: \dfrac{67}{100} \: \: no \: \: es \: \: posible \: \: reducir.}[/tex]
A la igual que la otra Operación:
[tex] \sf{La \: \: fracción \: \: \dfrac{1}{4 } \: \: no \: \: es \: \: posible \: \: reducir.}[/tex]
Ninguna tiene factores comunes.
Espero que te sirva, salu2!!!!
The fraction 67/100 It cannot be simplified.
It cannot be simplified since the numerator is greater than or equal to the denominator of a fraction, it is called an improper fraction. In that case, it cannot be converted to a whole number or a mixed fraction.
The fraction 1/4 Nor can it be simplified.
Since If the numerator is greater than or equal to the denominator of a fraction, it is called an improper fraction. In that case, it cannot be converted to a whole number or a mixed fraction.
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1. Express 729 as a power of 3.
(a) 38 (b) 36 c) 9³ d) none of these
Answer:
Option C: 9³
Step-by-step explanation:
9 * 9 = 81
( 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 +9 )
81 * 9 = 729
( 81 + 81 + 81 + 81 + 81 + 81 + 81 + 81 + 81)
All of the following countries were impacted by Chernobyl EXCEPT...
A. Great Britain
B. Brazil
C. Norway
Answer:
B: Brazil
Step-by-step explanation:
The Chernobyl impacted Belarus, Russia, and Ukraine as well as many other European countries. And Brazil isnt a European country.
( I hoped this helped)
Which equation does NOT represent a vertical asymptote of the graph of y=tanθ?
A. θ=-pi/2
B. θ=0
C. θ=pi/2
D. θ=3pi/2
The value of theta where we do not have a vertical asymptote is θ = 0.
Where we do not have a vertical asymptote?
The vertical asymptotes happen when the denominator becomes equal to zero.
For our case, we have:
tan(θ) = sin(θ)/cos(θ).
So the vertical asymptotes are for the values of θ where the cosine is equal to zero. Particularly, cos(0) = 1, then in θ = 0 the denominator is not equal to zero, which means that at that value we do not have an asymptote.
Then the correct option is B.
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The price of a television in a certain store was a dollars in June. On the first day of each month after June, the price was reduced by 20 percent of the price for the previous month. What was the price of the television during the month of Sep- tember?
Answer:
0.8
Step-by-step explanation:
multiply 1.00 .20 4 times
Find the area of EFGH
The area of triangle EFG with a base of 2 feet and height of 8 feet is 8 ft².
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h represent the height of triangle ABC, hence:
18 ft² = (1/2) * 3 * h
h = 12 ft
Let x represent the height of triangle EFG, hence:
x/12 = 2/3
x = 8 feet
Area of EFG = (1/2) * 2 * 8 = 8 ft²
The area of triangle EFG with a base of 2 feet and height of 8 feet is 8 ft².
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What do you know about measure AEB compared to angle ADB?
Answer:
[tex]m \angle AEB = m \angle ADB[/tex]
Step-by-step explanation:
By the Inscribed Angle Theorem, since both angles have the same intercepted arc, they are congruent.
Write the equation of the line in fully simplified slope-intercept form.
Answer:
The answer to writing this graph in fully simplified slope-intercwpt form is y = 1/5x - 7.
The standard deviation for actuary salaries has a standard deviation of $36,730 . You collect a simple random sample of n=36 salaries and find that x bar = $111,000 . Use this information for both parts. Part 1: What is the lower limit of this 95% confidence interval? (Round to the nearest whole number)
Using the z-distribution, it is found that the lower limit of the 95% confidence interval is of $99,002.
What is a z-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The other parameters are given as follows:
[tex]\overline{x} = 111000, \sigma = 36730, n = 36[/tex]
Hence, the lower bound of the interval is:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 111000 - 1.96\frac{36730}{\sqrt{36}} = 99002[/tex]
The lower limit of the 95% confidence interval is of $99,002.
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Help please need asap!! Thank you
Answer:
your welcome
Step-by-step explanation:
....bbc
PLSS HELP ME WITH THIS 20 POINTSS!! The graph below shows a proportional relationship between 2 and 4. What is the constant of proportional y/x
Answer:
3.5.
Step-by-step explanation:
Y = kx where k is the slope of the line
k = y/x
The slope 3/5/1 = 3.5
y/x = 3.5.
What is the measure of Angle A in the triangle
shown?
Answer:
44degrees
Step-by-step explanation:
I've just replaced letter A with x so that I can make it easier for me to get the value of x and after adding 54 + 82 I got 136 and when I transferred it to the other side I subtracted it from 180 because it had a positive sign before it and if it is carried out the other side it becomes a negative which means I should subtract hope you got me.
in short once a positive number is carried to the other side I mean past the equals sign then it changes to negative hope it helps
In circle H with m/GHJ = 70 and GH = 10 units, find the length of arc GJ.
Round to the nearest hundredth.
Answer:
GH8 remains 70 and gh remains 10
Step-by-step explanation:
there is no five or more
What are the values of x and y?
Step-by-step explanation:
In figure:
∠PRT+∠RTP+∠TPR=180
O
(angle sum property of triangle)
⇒x+(180
O
−∠RTQ)+60
O
=180
O
(linear pair)
⇒x+(180
O
−97
0
)+60
o
=180
O
⇒x=31
o
Now, ∠PRT+∠TRQ+∠QRS=180
O
(angle of straight line)
⇒x+48
o
+y=180
O
⇒31
o
+48
o
+y=180
O
⇒y=101
0
PLEASE HELP!!!!!!!!!!!!!
Answer:
d this is the answer that I got sorry if its wrong
In circle O, AD and BE are diameters. The measure of arc AB is 55° and the
measure of arc CD is 25º.
What is the measure of BC?
80
110
90
100
Answer:
Arc AB = 55°
Angle AOB = 55° ( Centre angle is equal to respective arc )
Arc CD = 25°
Angle COD = 25° ( Centre angle is equal to respective arc )
Angle AOB + Angle BOC + Angle COD = 180° ( AD is the diameter)
55° + Angle BOC + 25° = 180°
Angle BOC + 80° = 180°
Angle BOC = 100°
How do you solve for x? X is not 34°, just to let you know.
Answer:
x = 90
Step-by-step explanation:
X is equal to 90 degrees:
As you can see it forms paralell line we know paralell line is equal to 180 degrees just divide it by 2, so 90
Ten blackberry plants start growing in my yard. Absent constraint, blackberries will spread by 200% a month. My yard can only sustain about 50 plants. Using the logistic growth model, a. Write a recursive formula for the number of blackberry plants in my yard b. Calculate the number of plants after 1, 2, and 3 months
The recursive formula for the number of blackberry plants in my yard is Tn = 3Tn-1 where To = 10
The recursive functionThe given parameters are:
Initial = 10Maximum = 50Growth rate = 200%The number of plants in month n is calculated using:
Tn = Tn-1 * (1 + 200%)
This gives
Tn = 3Tn-1
Hence, the recursive formula for the number of blackberry plants in my yard is Tn = 3Tn-1 where To = 10
The number of plants after 1, 2, and 3 monthsThis means that n = 1, 2, 3
When n = 1, we have:
T1 = 3To = 3 * 10 = 30
When n = 2, we have:
T2 = 3T1 = 3 * 30 = 90
90 is greater than the maximum number of plant the backyard can contain
Hence, the number of plants after 1 month is 30 and the plants in the backyard would exceed 50 plants before the end of the 2 months
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The new floor plan for the interior of a home is below. Marisa wants to cover various parts of the floors with carpet, tile, or wood.
If tile costs $1.29/sq. ft., how much will the tiled portion of the floor plan cost?
A) $1,548.00
B) $1,161.00
C)5387.00
D) $774.00
Answer:
C. $774.00
Step-by-step explanation:
First, you have to find the area of the area that is tile, in this case, it is a trapezoid.
Area of Trapezoid formula:
A= 1/2(b1+b2)h
h= height
b=base
A= 1/2(15+25)30
A= 1/2(40)(30)
A=1/2(1,200)
A= 600
Now, you multiply 600 by the cost of the tile to get how much money it will cost.
600*1.29= $774.00
6. The three sides of a triangle are in the ratio 2 : 3 : 4 and the perimeter
225 m. Find its area.
A recipe for chocolate pudding calls for 600 milliliters of milk and 120 milliliters of heavy cream. How many liters of liquid are needed for 2 servings of pudding? I promise I will mark you brainliest answer.
The amount liters of liquid needed for 2 servings of pudding.
Solution:1 serving:[tex]600 + 120[/tex]
[tex] = 720 \: ml[/tex]
2 serving:[tex]720 \times 2[/tex]
[tex] = 1440 \: ml[/tex]
Let's solve[tex]\boxed{\sf{Formula: 1 \: L = 1000 \: ml}}[/tex]
[tex] \frac{1440}{1000} [/tex]
[tex]\large\boxed{\sf{= 1.44 \: L}}[/tex]
Therefore, 1.44 litres of liquid are required for 2 servings.
It costs $10 to enter a theme park and $2 for each ticket, t. Which equation represents the total cost, c, of going to the theme park?
