Which diagram shows the most useful positioning and accurate labeling of an isosceles trapezoid in the coordinate plane?
Answers
The third image contains the labels (a,b), (c,d), (-a,b), and (-c,d).
The diagram that shows the most useful positioning and accurate labeling of an isosceles trapezoid in the coordinate plane is the first figure.
Because it tells you the lengths of the trapezoid's bases and height.
For example, the base lengths are as follows:
a - (-a) = a + a = 2a
c - (- c) = c + c = 2c
height: b-d
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The third image contains the labels (a,b), (c,d), (-a,b), and (-c,d).
An isosceles trapezoid is a type of trapezoid (a quadrilateral with at least one pair of parallel sides) where the non-parallel sides are congruent (have the same length). The base angles, formed by the intersection of the non-parallel sides and the parallel sides, are also congruent in an isosceles trapezoid.
The diagram that shows the most useful positioning and accurate labeling of an isosceles trapezoid in the coordinate plane is the first figure.
Because it tells you the lengths of the trapezoid's bases and height.
For example, the base lengths are as follows:
a - (-a) = a + a = 2a
c - (- c) = c + c = 2c
height: b-d
Related Questions
John runs every day. The number of miles that he runs varies per day. Write a variable expression to show John's total miles for three days."
Answers
T = x + y + z
The Richter scale is used to measure the magnitude of an earthquake. The magnitude, R, is given by the earthquake. Determine the amount of energy released be an earthquake of magnitude of 7.5.
It says simplify so it is written in the form b = log a.
Answers
B)[tex]6.05=0.65log(0.39E) Subtracted 1.45 from~ both~ sides~ of~ equation. 9.31=log(0.39E) Divided each side by 0.65. [/tex]
C) [tex]9.31=log(0.39E) 10^(9.31)=0.39E E=5.24*10^9 kilowatt hours[/tex]
Amount of energy released during Earthquake is [tex]5.23*10^{6} kilowatt[/tex]
The Richter scale is used to measure the magnitude of a earthquake. The magnitude R is,
[tex]R=0.65log(0.39E)+1.45[/tex] E is the energy (measured in kilowatt-hours) released by the earthquake.
Given that, R = 7.5
Substituting the value of R into above equation.
[tex]7.5=0.65log(0.39E)+1.45\\\\7.5-1.45=0.65log(0.39E)\\\\6.05=0.65log(0.39E)\\\\9.31=log(0.39E)\\\\0.39E=10^{9.31}\\\\E=\frac{10^{9.31} }{0.39} \\\\E=5235225499watt\\\\E=5.23*10^{6} kilowatt[/tex]
Thus, Amount of energy released is [tex]5.23*10^{6} kilowatt[/tex]
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Which expression illustrates the associative property of addition?
A. (3 + 19) – 12 = (3 + 12) – 19
B. 3 + (19 – 12) = 3 + (19 + 12) (Not B)
C. (3 + 19) – 12 = 3 + (19 – 12)
D. 3 + (19 –12) = 3 – (19 + 12)
Answers
Basically, we can move around the parentheses.
The only option that fits this description is C.
Answer:
C.(3+19)-12=3+(19-12)
Step-by-step explanation:
We have to find an expression which illustrate the associative property.
We know that associative property of addition of three numbers a, b and c
[tex]a+(b+c)=(a+b)+c[/tex]
A.(3+19)-12=(3+12)-19
(3+19)-12=10
(3+12)-19=-4
It is not associative property of addition because both sides are not equal.
B.3+(19-12)=3+(19+12)
3+(19-12)=10
3+(19+12)=34
It is false because both sides are not equal .
C.(3+19)-12=3+(19-12)
(3+19)-12=10
3+(19-12)=10
It is illustrate the associative property of addition.
D.3+(19-12)=3-(19+12)
3+(19-12)=10
3-(19+12)=-28
Both sides are not equal . Hence , it is false.
1. Lisa is working with the system of equations x + 2y = 7 and 2x ‒ 5y = 5. She multiplies the first equation by 2 and then subtracts the second equation to find 9y = 9, telling her that y = 1. Lisa then finds that x = 5. Thinking about this procedure, Lisa wonders:
There are lots of ways I could go about solving this problem. I could add 5 times the first equation and twice the second or I could multiply the first equation by ‒2 and add the second. I seem to find that there is only one solution to the two equations but I wonder if I will get the same solution if I use a different method?
What is the answer to Lisa’s question? Explain.
2. Does the answer to the first question change if we have a system of two equations in two unknowns with no solutions? What if there are infinitely many solutions?
Answers
Answer:
1. Yes
2. Yes
Step-by-step explanation:
1. Lets test Lisa's different solution. Lets times 5 to the first equation:
[tex]5\cdot{x}+10\cdot{y}=35[/tex]
and 2 times the second equation:
[tex]4\cdot{x}-10\cdot{y}=10[/tex]
lets add the two equations:
[tex]9\cdot{x}=45[/tex]
[tex]x=5[/tex]
The second method is multiplying the first equation by -2:
[tex]-2\cdot{x}-4\cdot{y}=-14[/tex]
and add the second equation:
[tex]-9\cdot{y}=-9[/tex]
[tex]y=1[tex]
Substitute into equation 1:
[tex]x+2\cdot{1}=7[/tex]
[tex]x=5[/tex]
The answer to Lisa's question is yes she wull get the same solution if she uses a different method.
2. Yes, The answer would change if the same amout of x and y values are the same and therefore we cannot solve for x and y. If there was infinitely many solutions we would have quadratic equations.
square root of 4x squared times square root of 20x squared
Answers
A boat traveled 280 miles downstream and back. The trip downstream took 7 hours. The trip bck took 14 hours. Find the speed of the boat in still water and the speed of the current.
Answers
bearing in mind that the trip over, upstream, is the same distance as back, 280 miles.
if say, the boat has a speed rate of say "b", and the current has a speed rate of "c", so, when the boat was going upstream, it really wasn't going "b" fast, it was going "b-c" fast, because the stream is subtracting speed from it, because is going against the stream.
And when the boat was going downstream, is not going "b" fast either, is going "b+c" because, since it's going with the current, the current's rate is adding speed to it.
[tex]\bf \begin{array}{lccclll} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ &------&------&------\\ Downstream&280&b+c&7\\ Upstream&280&b-c&14 \end{array} \\\\\\ \begin{cases} 280=7(b+c)\implies \frac{280}{7}=b+c\\ 40=b+c\implies 40-c=\boxed{b}\\ -------------\\ 280=14(b-c)\implies \frac{280}{14}=b-c\\ 20=b-c\\ ----------\\ 20=\left( \boxed{40-c} \right)-c \end{cases} \\\\\\ 20=40-2c\implies 2c=40-20\implies c=\cfrac{20}{2}[/tex]
what's the speed of the boat? well, 40 - c = b.
What is m∠M ?
Enter your answer in the box.
Answers
Answer: We can find the measurement of the angle M using that the sum of the interior angles in any triangle is equal to 180°, then:
m<M=98°
Solution:
m<M=(3x-16)°
To find m<M we need "x".
m<N=x°
m<O=(x+6)°
The sum of the interior angles of any triangle is equal to 180°:
m<M + m<N + m<O = 180°
Replacing the angles:
(3x-16)° + x° + (x+6)° = 180°
We have one equation with one variable "x", then we can solve for x. Adding the terms:
(3x-16+x+x+6)°=180°
3x-16+x+x+6=180
Adding similar terms:
5x-10=180
Adding 10 both sides of the equation:
5x-10+10=180+10
5x=190
Dividing both sides of the equation by 5:
5x/5=190/5
x=38
Then:
m<M=(3x-16)°
Replacing x by 38 in the formula above:
m<M=(3(38)-16)°
m<M=(114-16)°
m<M=98°
Directed line segment AB has endpoints A(2,3) and B(8,15). Point P has coordinated P(6,11). What ratio does P partition AB into?
Answers
collinear.
Calculate the length of AP (as a).
a = √[(6 - 2)² + (11 - 3)²]
= 8.9443
Calculate the length of BP (as b).
b = √[(8 - 6)² + (15 - 11)²]
= 4.4721
Calculate ratio a/b.
a/b = 8.9443/4.4721 = 2
Therefore P partitions AB in a 2:1 ratio so that AP = 2*BP.
Answer: 2:1 ratio.
one serving of granola provides 4% of the protien you need daily. you must get the remaining 48 grans of protien fron other scources. how many grams of protein do you need daily?
Answers
If the area of the outer square is 4x2, then the area of the inner square is
Answers
Final answer:
The area of the inner square is x squared. This is determined by the rule that the ratio of areas of similar figures is the square of the scale factor, with the larger square having dimensions and area four times that of the smaller square.
Explanation:
Considering a larger square with an area of 4x², and given that the dimensions of this square are twice that of a smaller square, we can derive the area of the smaller square by understanding the relationships between the scale factor and the area of similar figures. If Marta's original square has a side length of 4 inches, doubling the dimensions gives a side length of 8 inches for the larger square.
The scale factor for the sides is 2, but when considering area, the scale factor is squared. Consequently, the area of the larger square, which is 8 inches by 8 inches, will be 64 square inches. This area is four times larger than the area of the smaller square, which is 16 square inches (4 inches x 4 inches). Thus, the rule that the ratio of areas of similar figures is the square of the scale factor applies. The area of the inner square would be equivalent to the area of the outer square divided by 4, which in our case, with an outer square area of 4x², leads to an inner square area of x².
You want to make five-letter codes that use the letters A, F, E, R, and M without repeating any letter. What is the probability that a randomly chosen code starts with A?
Answers
there are 5 letters used for the code.
The probability of A being first the number of A’s which can be picked (1) over the total number of letters that can be picked (5).
The probability of A being first is 1/5
1/5 = 0.2
Answer:
Correct answer for plato
Step-by-step explanation:
C. 0.20
Y is between points J and A. JA=17 and YA=3.
What is JY?
Enter your answer in the box.
JY =
Answers
we know that
[tex]JA=JY+YA[/tex]
solve for JY
[tex]JY=JA-YA[/tex]
in this problem we have
[tex]JA=17\ units\\YA=3\ units\\JY=?[/tex]
substitute the values in the formula above
[tex]JY=17-3[/tex]
[tex]JY=14\ units[/tex]
therefore
the answer is
[tex]JY=14\ units[/tex]
Answer:
JY = 14
Step-by-step explanation:
Given : Y is between points J and A.
and JA = 17 and YA = 3.
We have to find the length of JY.
Since, Y is between points J and A.
So, JA = JY + YA
Substitute, JA = 17 and YA = 3.
We have,
17 = JY + 3
Solve for JY, we have,
JY = 17 - 3 = 14
Thus, JY = 14
28Students were surveyed and the results showed that of 18 of them loved to play video games what percentage of the students loved to play video game.
Answers
Write an equation for the line, given that m=3 and the y-intercept is (0,2)
Answers
Answer:
The equation of required line is y=3x+2.
Step-by-step explanation:
The slope intercept form of a line is
[tex]y=mx+b[/tex] ..... (1)
where, m is slope and b is y-intercept.
We need to find the equation of line whose slope is m=3 and the y-intercept is (0,2).
Substitute m=3 and b=2 in equation (1), to find the equation of required line.
[tex]y=(3)x+(2)[/tex]
[tex]y=3x+2[/tex]
Therefore the equation of required line is y=3x+2.
The equation for the line hose gradient/slope is 3 and a y-intercept of (0, 2) is y = 3x + 2
Further Explanation Equation of a straight line Equation of a straight line is written in the form y=mx+ c, where m and c are numbers. m is the gradient of the line while c is the y-intercept.
Equation of a straight line can be found when given:
A slope of the line and one point where the line is passing through Two points where the line is passing through A slope of the line and the y-intercept Double intercept When an equation of a straight is written in the form of x/a + y/b = 1 Where a is the x-intercept and b is the y-interceptIn this case;
The equation of the straight line with gradient m, passing through a point (x1,y1) is
y-y1 = m(x-x1)
We are given the y-intercept as (0, 2) and the slope is 3
Therefore;
To get the equation, we take another point (x,y)
(y-2)/(x-0) = 3
y-2 = 3x
y= 3x + 2
Keywords: Equation of a straight line, y-intercept,
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Level: High school
Subject: Mathematics
Topic: Equation of a straight line
Can you can help me with 6.7 round the decimal the nearest whole number
Answers
So you're trying to round to the nearest whole number, look on the number on the right, it's bigger than 5, it's a 7. Therefore, round the whole number up so it would be 7.
the number to the right of the deciml point, 7 is greater than 4, so the number would be rounded up
so 6.7 would round to 7.0
How many solutions are possible for the equation 5(x-3)=7x-2(x+1)
Answers
5(x-3) = 7x - 2(x+1)
5x - 15 = 7x -2x - 2
5x -13 = 5x
-13 = 0
So, there is no solution.
Hope this helped!
Ten times the sum of half a number x and 4 is 7?
Answers
Divide both sides by ten
(x/2)+4 = 7/10
Then -4 on both sides
x/2=-3 3/10
mutiple both sides by 2
x= -6 6/10
x= -6.6
I've been trying to solve this, but I have no idea how.
-1/2x + 3 = -x + 7
Answers
Second, you subtract 3 from both sides of the equation
Last, you would multiply both sides of the equation by 2
It would look like this.....
-1/2x+3=-x+7
1/2x+3=7
1/2x=4
2*(1/2)=(2)*4
x=8
We're simply just trying to get "x" by itself.
So, in order to do this, we must move anything that doesn't have "x" in it to the other side.
SO, subtract 3 from both sides.
-1/2x = -x + 7 - 3
Then, add x to both sides.
-1/2x + x = 7 - 3
Then, simplify.
1/2x = 4
Multiply both sides by 2.
2 · 1/2x = 4 · 2
Simplify.
x = 8
~Hope I helped!~
Enter the solution to the inequality in the box.
8+4(x−3)+3x≤24
Answers
-4+7x<=24
7x<=28
X<=4
Answer: The required solution is [tex]x\leq4.[/tex]
Step-by-step explanation: We are given to solve the following inequality :
[tex]8+4(x-3)+3x\leq24~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To solve the given inequality, we must find the value of the unknown variable x.
From inequality (i), we have
[tex]8+4(x-3)+3x\leq24\\\\\Rightarrow 8+4x-12+3x\leq24\\\\\Rightarrow 7x-4\leq24\\\\\Rightarrow 7x\leq24+4\\\\\Rightarrow 7x\leq28\\\\\Rightarrow x\leq\dfrac{28}{7}\\\\\Rightarrow x\leq4.[/tex]
Thus, the required solution is [tex]x\leq4.[/tex]
Miss violet is buying granola bars for her students. she already has 16 granola bars in her desk and needs a total of 100 bars. they are sold in packs of 12. how many more boxes of granola bars does she need to purchase for her students?
Answers
The difference of the squares of twenty and thirteen.
put in numerical form
Answers
13 squared = 169
400
-139
(231)
The difference between the squares of twenty and thirteen will be 234.
What is subtraction?To subtract in mathematics is to take something away from a group or a number of objects.
In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.
The group's total number of items decreases or becomes lower when we subtract from it.
Square of twenty = 20²
20² = 20 × 20 = 400
Square of thirteen = 13²
13² = 13 × 13 = 169
Difference ⇒ 400 - 169 = 231.
Hence "The difference between the squares of twenty and thirteen will be 234".
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write an expression to model the following phrase an hourly wage of 13.50 plus a 75 bonus
Answers
Michelle listed her three children as equal beneficiaries on her life insurance policy. If she has a $400,000 policy, how much will each receive in the event of her death?
Answers
The beneficiaries received by each of Michelle children is $133333.3.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Michelle listed her three children as equal beneficiaries on her life insurance policy.
Here, insurance amount received by each is
400000/3
= $133333.3
Therefore, the beneficiaries received by each of Michelle children is $133333.3.
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Final answer:
Each of Michelle's three children would receive $133,333.33 from her $400,000 life insurance policy if they are listed as equal beneficiaries.
Explanation:
Michelle has a $400,000 life insurance policy and has listed her three children as equal beneficiaries. To calculate how much each child will receive in the event of her death, we divide the total policy amount by the number of beneficiaries.
$400,000 ÷ 3 = $133,333.33
Therefore, each child would receive $133,333.33 from the life insurance policy. In this scenario, the division of the life insurance policy ensures an equal distribution among Michelle's three children, with each child entitled to $133,333.33. This approach maintains fairness in the allocation of the financial benefit, aiming to provide an equitable share to each beneficiary.
If the coefficient of static friction between the coffee cup and the roof of the car is 0.21, what is the maximum acceleration the car can have without causing the cup to slide? ignore the effects of air resistance.
Answers
The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool?
The height of the water increases 2 inches per minute.
The height of the water decreases 2 inches per minute.
The height of the water was 2 inches before any water was added.
The height of the water will be 2 inches when the pool is filled.
Answers
Example: In minute 2 it was 8 inches, in minute 4 it was 12 inches. (12-8=4)
This means that if the height of the water is increased by 4 inches for 2 minutes, then for 1 minute is increased 4/2=2 inches.
The following statement best describes how the slope relates to the height of the water in the pool:
The height of the water increases 2 inches per minute.
The correct statement describes how the slope relates to the height of the water in the pool is,
The height of the water increases by 2 inches per minute.
Given that,
The slope of the line through the points is 2.
And, the slope relates to the height of the water in the pool.
Here, a table for the height of the water in a pool is shown.
Since the slope of the line through the points is 2.
Hence, It means that,
if the height of the water is increased by 4 inches for 2 minutes, then for 1 minute is increased,
4/2 = 2 inches.
So, the correct statement is,
The height of the water increases by 2 inches per minute.
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Julie is selling candy bars to raise money for new band uniforms. Candy bar x sells for $2 and candy bar y sells for $3. The number of y candy bars Julia sells must be greater than or equal to three times the number of x candy bars she sells. She has at most 36 candy bars to sell. What is the maximum revenue she can make? $36 $99 $108 $216
Answers
The number of candy Y must be >= 3 times candy X. Since this won't limit candy Y selling, then you can convert all 36 candy into candy Y and 0 candy X
36 candy (Y) >= 0 candy(X) ----> the requirement is met.
The revenue would be 36 candy Y * $3/candy Y= $108
Correct Answer.
$36
$99 <---
$108
$216
The expression -50 + 100 represents the balance in dollars of a bank account after X months what is the rate of change in dollars per month of the bank account balance
Answers
y = mx + c
where c represents the y-intercept and m represents the slope of the line which is also known as the rate of change
For the given equation: -50x + 100
Comparing this equation to the general formula, we will find that the rate of change of the dollars in the account balance is -50
Yup the answer is -50 give the other person brainly they deserve it
Find the coordinates of the missing endpoint if B is the midpoint of AC. C(-5,4), B(-2,5) I need the steps and answer pls and ty
Answers
[tex]\bf \left( \cfrac{-5+x}{2}~,~\cfrac{4+y}{2} \right)=\stackrel{B}{(-2,5)}\implies \begin{cases} \cfrac{-5+x}{2}=-2\\\\ -5+x=-4\\ \boxed{x=1}\\ ----------\\ \cfrac{4+y}{2}=5\\\\ 4+y=10\\ \boxed{y=6} \end{cases}[/tex]
The coordinates of the missing endpoints (1,6) and can be determined by using the midpoint formula.
Given :
B is the midpoint of AC. Points -- C(-5,4), B(-2,5)The following steps can be used in order to determine the coordinates of the missing endpoint:
Step 1 - According to the given data, points C(-5,4) and B(-2,5).
Step 2 - The mid-point formula is given below:
[tex]\rm x = \dfrac{x_1+x_2}{2}[/tex]
[tex]\rm y = \dfrac{y_1+y_2}{2}[/tex]
Step 3 - Let the endpoint be (x,y).
Step 4 - Now, substitute the values of the points in the above formula.
[tex]\rm -2= \dfrac{-5+x}{2}[/tex]
[tex]\rm 5 = \dfrac{4+y}{2}[/tex]
Step 5 - Simplify the above expression.
x = 1
y = 6
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Lori makes $64,000 each year as an accountant. At Christmas she was given a 12% bonus. What was Lori's total income for the year?
Answers
12% = 0.12
64000 x 0.12 = 7680
64000 + 7680 = $71,680
what is the property of 7(3+4y)=21+28y