Answer:
of quadrilateral JKLM are: J: (1,-2) K: (13,4) L: (6,8) and M: (-2,4). Prove that JKLM is a trapezoid, but not an isosceles trapezoid
The required JKLM is a trapezoid, but as the two sides are equal so JKLM is an isosceles trapezoid.
What is a quadrilateral?A quadrilateral is a four-sided shape as given in the picture in question.
A quadrilateral is a trapezoid if exactly one pair of its opposite sides are parallel. To prove that JKLM is a trapezoid, we can find the slopes of its sides and check if exactly one pair of opposite sides have the same slope. The slope of a line passing through points (x₁, y₁) and (x₂, y₂) is given by (y₂ - y₁) / (x₂ - x₁).
The slope of JK is (4 - (-2)) / (13 - 1) = 6 / 12 = 1/2
The slope of KL is (8 - 4) / (6 - 13) = 4 / (-7) = -4/7
The slope of LM is (4 - (-2)) / (-2 - 6) = 6 / -8 = -3/4
The slope of MJ is (-2 - 4) / (1 - 13) = -6 / -12 = 1/2
Since JK and LM have different slopes, we can conclude that exactly one pair of opposite sides are parallel; thus, JKLM is a trapezoid.
To prove that JKLM is not an isosceles trapezoid, we need to show that none of its sides have equal length. The distance between two points (x₁, y₁) and (x₂, y₂) can be calculated using,
The distance formula = √((x₂ - x₁)² + (y₂ - y₁)²)
We can calculate the lengths of all four sides of JKLM and see if any of them are equal.
JK = √((13 - 1)² + (4 - (-2))²) = √(144 + 36) = √(180) = 6√(5)
KL = √((6 - 13)² + (8 - 4)²) = √(49 + 16) = √(65) = √65
LM = √((-2 - 6)² + (4 - (-2))²) = √(64 + 36) = √(100) = 10
MJ = √((1 - 13)² + (-2 - 4)²) = √(144 + 36) = √(180) = 6√(5)
Since two of the four sides are equal in length, JKLM is an isosceles trapezoid.
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Which table has a constant of proportionality between y and x of 1/4?
Answer: Choice B
Pick any row to find that y/x is equal to 1/4
For example, in the second row we can immediately see that y/x = 1/4 since x = 4 and y = 1 pair up together. The other two rows involve a bit more work, but you should find the result simplifies to 1/4 as well.
the sum of two numbers is 385 the difference between the number is 93 what’s is the value of the larger number?
x = 239
y = 146
Step-by-step explanation:
Let two numbers be x and y
x + y = 385. ------------equation (1)
x - y = 93. ------------equation (2)
from (1) and (2)
x = 239 and y = 146
Which equation best represents the relationship between x and y in the graph? * 2 points
Answer:
The answer is y=2x+2
Step-by-step explanation:
d) 1 3/4 x 4 1/6
c) 7/9 x 5 2/5
Answer:
D) 1 3/4 x 4 1/6= 7 7/24
C) 7/9 x 5 2/5= 4 1/5
Done by NeighborhoodDealer
Find the product for 1.29 x 5.4
show work please <3.
Answer:
6.966
Step-by-step explanation:
•Mark how many you have in the d.p
•If there is two or more add them up
•Multiply like normal given numbers
•Write where the decimal point is to be
Hope that helps
The answer you are looking for is 6.966. You multiply the numbers as normal, the place the decimal based off of how many numbers are behind the 2 decimal points given. 1.29 has 2 numbers behind the decimal, and 5.4 has 1. 1 + 2 = 3, so from the right of the last number on the right side, you move the decimal 3 places.
Here's an image to show you how I solved the problem.
I hope this helps!!
Find the MIDPOINT between the two points.*
(-1,-5) and (-5, 9)
Answer:
(-3, 2)
Step-by-step explanation:
What is the distance from J To K
Answer:
C. 13 unit
Step-by-step explanation:
I got right
what does -5+3x equals
Answer:
10
Step-by-step explanation:
10-10=0
Answer:
the answer is -15
Step-by-step explanation:
Which scenario matches the relationship shown in the table?
A. Adi makes 25 dollars an hour.
B. Adi spent 25 dollars on a calculator.
C. Adi divided 25 dollars between her sisters.
D.Adi makes 1 hour for every 25 dollars.
answer: A. Adi makes 25 dollars an hour.
Answer:
You are correct!! The table does show that she makes 25 dollars in 1 hour.
Am i suppose to answer it because you already said the answer is A. Well, You're right.
And Thank you!
The diameter of a circle is 6 cm find the circumference to the nearest tenth
Answer:
28.3
Step-by-step explanation:
If this answer helped you then please like this and consider marking it as brainliest :)
Answer:
18.85 cm
Step-by-step explanation:
An Auto Shop charges $60 per hour
for labor plus a $30 fee for materials.
Which equation can be used to find
y, the total cost for x hours of labor?
Can someone please help
Answer:
60x + 30 = y | Honestly not sure if it's right but I wanted to help anyways!
Step-by-step explanation:
How many dollars will Ms. Davis have saved after 30 weeks?
Ms. Davis has $54.50 saved
• She will save $33.25 each week for the next 30 weeks
• She will not spend any of the money
Enter your response here:
Answer:
$1,052
Step-by-step explanation:
.................
Answer: 1,052
Step-by-step explanation: Okay so she has $54.50 saved right now and she wants to save $33.25 each week for the next 30 weeks so we're multiplying. 33.25x30= 997.5 plus the money she has right now is 997.5+54.50= 1,052
What has the same value as 75% of 96
Answer:
72
Step-by-step explanation:
75% of 96 = 0.75 x 96
= 72
Find the composition of transformations that map ABCD to EHGF. 3 Reflect over the [? ]-axis , then translate (x+[ ],y+[ 1) . 2
Answer:
x3 y1
Step-by-step explanation:
ABCD reflects over [tex]X-[/tex] axis.
Then translated to [tex](x+[6],y+[-1])[/tex].
What is Transformation?A single or multiple changes in a geometrical shape or figure is called Geometrical Transformation.
What is Reflection?A geometrical transformation in which a geometrical figure changes his position to his mirror image about some point or line or axis is called Reflection.
We can see in the given figure that ABCD becomes EHGF after reflecting over [tex]X-[/tex] axis.
So now A became the point E.
We can see in the figure that the coordinates of A were [tex](-5,2)[/tex]
And now the coordinates of E are [tex](1,1)[/tex]
So, [tex](-5+[6],2+[-1])=(1,1)[/tex]
Hence the transformation is [tex](x+[6],y+[-1])[/tex].
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Without graphing, classify the following system as independent, dependent, or inconsistent.
x - 2y = 1
4x 8y = 4
Choose the correct answer below.
A. The system is inconsistent.
B. The system is dependent.
C. The system is independent.
Answer:
Step-by-step explanation:
There is a missing operator in the second equation.
If the equation is 4x - 8y = 4, then the system is dependent. The second equation is a non-zero multiple of the first.
Consider the triangle below.
Determine the angle measure for angle A and angle M in order for triangle GAM to be classified as an isosceles triangle.
Given :
▪︎Measure of ∠G = 64°
▪︎△GAM is an isosceles triangle.
We know that :
▪︎The opposite base angles of an isosceles triangle are always equal.
Let the measure of ∠A be x.
Then, the measure of ∠M will also be x.
Which means :
[tex] = \tt64 + x + x = 180[/tex]
[tex] = \tt64 + 2x = 180[/tex]
[tex] = \tt2x = 180 - 64[/tex]
[tex] =\tt 2x = 116[/tex]
[tex] =\tt x = \frac{116}{2} [/tex]
[tex] = \tt \: x = 58[/tex]
Since the sum of all these angles is equivalent to 180°[64+58+58=180], we can conclude that we have found out the correct measure of each of these angles.
▪︎Therefore :Measure of ∠A = 58°
Measure of ∠M = 58°
An inflatable ball has a diameter of 6 inches. About how many cubic inches of air does the ball hold?
A. 30
B. 40
C. 110
D. 900
Answer:
The volume of a sphere with 6 inch radius is 36(pi) cubic inches or approximately 110 cubic inches.
Step-by-step explanation:
Answer: 110
Step-by-step explanation:
100% true i think
What fraction is equivalent to 0.45 ? (in lowest terms)
6x-3=3x+12 what is the solution to the equation?
Answer:
x=5
Step-by-step explanation:
add 3 to both sides of the equation: -3+3=0 12+3=15 simplified: 6x=3x+15 then subtract 3x from both sides of the equation. simplified: 3x=15
then divide both sides by 3. simplified: x=5
PLZZ HELP MARKING BRAINLEIST
Answer:
Length of side QP = 5
Linda has to buy stickers, erasers, and a pencil. She can only spend $3. A sticker costs $0.35, an eraser costs $0.99, and a pencil costs $0.59. Can Linda buy 3 stickers and 2 erasers?
[Use the inequality 0.35x + 0.99y + 0.59 ≤ 3]
Answer:
No
Step-by-step explanation:
Step 1: Understand the inequality
The inequality 0.35x + 0.99y + 0.59 ≤ 3 contains 2 variables 'x' and 'y'. We can see the 'x' is multiplied by 0.35 which is the price of a sticker which means 'x' represents how many stickers Linda is buying. The 'y' is multiplied by 0.99 which is the price of a eraser which means 'y' is how many erasers Linda is buying. We ignore the 0.59 as that's the price for a pencil but Linda doesn't buy a pencil
Step 2: Sub in the values
[tex]0.35(3)+0.99(2)<3\\1.05+1.98<3\\3.03<3[/tex]
Step 3: Interpret the answer
Because the equality isn't true we can conlude Linda doesn't have the money to buy 3 stickers and 2 erasers
Answer:
no
Step-by-step explanation:
0.35x3=$1.05
0.99x2=$1.98
add $0.59+$1.98+$1.05
=$3.62
Which angles shown in the drawing are obtuse?
∠ABE
∠DBA
∠DBC
∠CBE
Answer:
the first and third one
Step-by-step explanation:
those are obtuse triangles because they open wide
PLEASE HELP ME
Amira is asked to write an exponential function to represent the value of a $5,000 investment increasing at 4% annually. What multiplicative rate of change should Amira use in her funtion?
a
1.04
b
0.96
c
0.04
d
1.96
Answer:
c) 0.04 is the answer
I would be happy if you give brainliest
100%
A right triangle has legs that measure 8 inches and 15 inches.
What is the length of the triangle's hypotenuse?
O
A 5 in.
B. 7 in
C. 17 in
D. 23 in.
Answer:
17 inches
Step-by-step explanation:
it's 17 because x² = 15² + 8²
then x² = 225+64 which is x² = 289 so now you have to do the square root on both side x= 289
x= 17
The sum of 32 and n is equal to 44.29.
Enter the equation described in the sentence.
Answer:
32 + n =44.29
Step-by-step explanation:
the sum of 32 and n means add n to 32 or 32 + n
The sum of two integers is 3. Their difference is 1. What are the two integers?
Answer:
2 and 1
Step-by-step explanation:
2 + 1 = 3
2 - 1 = 1
If f(x)=2x, where is the y−intercept of g(x)=f(x)+4?
Given:
[tex]f(x)=2x[/tex]
[tex]g(x)=f(x)+4[/tex]
To find:
The y-intercept of g(x).
Solution:
We have,
[tex]g(x)=f(x)+4[/tex]
Putting [tex]f(x)=2x[/tex], we get
[tex]g(x)=2x+4[/tex]
Substitute x=0 to find the y-intercept of g(x).
[tex]g(0)=2(0)+4[/tex]
[tex]g(0)=0+4[/tex]
[tex]g(0)=4[/tex]
Therefore, the y-intercept of g(x) is at point (0,4). So, the y-intercept of g(x) is 4.
There are 15 people on a bus. Some are adults. Some are children. There are more adults than children. Write down three different ratios of adults to children on the bus.
Answer:
Step-by-step explanation:
A ratio would mean that for every x number of adults there are a y number of children and the total in this scenario would need to total the 15 individuals in the bus. Therefore, since there has to be more adults than children then any of the following three ratios would be valid.
10 adults :: 5 children
14 adults :: 1 children
5 adults :: 3 children
All three of these ratios add up to be the 15 total individuals in the bus and also fit the requirement that there are more adults tan children.
F(x)=2x-10 when x=-3, 0, and 8.
Answer:
2x=10
Step-by-step explanation:
3(2x +5) - 2x= 3 (x +6)
Plzzz Someone help me
Step-by-step explanation:
afsoon the process in the picture hope you understood.
Answer:
x= 3
Step-by-step explanation:
6x + 15 - 2 = 3x + 18
4x +15 = 3x + 18
4x -3x = 18-15
x = 3