Answers
The values for figure is x = 2, y = 9,
GH = 8, GJ = 7,
FE = 3, GE = 7.
What is quadrilateral?A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.
The Latin words quadra, which means four, and latus, which means sides, are combined to form the English word quadrilateral. A quadrilateral does not always have to have equal lengths on each of its four sides.
Given figure shows
GH parallel to EG
GH = EG
GH = 3y - 19
EG = 8
3y - 19 = 8
3y = 27
y = 9
GH = 3y - 19 = 3(9) - 19 = 8
and GJ parallel to JE
GJ = JE
GJ = 3x + 1
JE = 5x - 3
3x + 1 = 5x - 3
5x - 3x = 1 + 3
2x = 4
x = 2
values are,
GJ = 3x + 1 = 3(2) + 1 = 7
JE = 5x - 3 = 5(2) - 3 = 7
FE = 6x - y
substitute values,
x = 2, y = 9
FE = 6x - y = 6(2) - 9 = 12 - 9 = 3
Hence x = 2, y = 9
GH = 8, GJ = 7,
FE = 3, GE = 7.
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Related Questions
Jamila deposits $800 in an account that earns yearly simple interest at a rate of 2.65%. How much money is in the account after 3 years and 9 months?
Answers
Answer:
$821.2
Step-by-step explanation:
cause 2.65 percentage of 800 dollars is 800/100=8*2.65=21.2dollars.+800 =$821.2
anyone help please?
Answers
Answer:
The transformation is a reflection over the y axis
I need to know the andwer to 0.03 divided by 0.81 in division of decimals
Answers
Answer: 0.0370 (Italic part repeats forever)
Step-by-step explanation:
Answer: 0.037...
Step-by-step explanation:
A solution set always includes...
A. all the numbers that make the inequality false.
B. all the numbers that make the inequality true.
C. zero and infinity.
D. negative infinity.
Answers
Answer:
A
Step-by-step explanation:
i got the same answer and got ir right
Martin will earn $20 per hour at a new job. During training, he will earn $15 per hour. What percent of Martin’s regular hourly rate will he earn during training?
Answers
Answer:
5
Step-by-step explanation:
6n = 21 what is the answer
Answers
Answer:
Decimal: n = 3.5
Fraction: n = 7/2
Step-by-step explanation:
6n = 21
n = 21/6
n = 7/2
n = 3.5
Answer:
3.15
Step-by-step explanation:
Divide 21 by 6
PLS SOMEONE HELPP I NEED THIS ASAP
Answers
The rate of change for the graph, when x=0 and x=1 is 2 units.
What is average rate of change?
This expression represents the average rate of change of the function f(x) over the range a<=x<=b, is less than or equal to x, and is less than or equal to b -
[f(b)-f(a)]/b-a
The rate of change of graph is determined by the formula -
[f(b)-f(a)]/b-a
[f(1)-f(0)]/1-0
Here, in the graph it can be clearly seen that f(0)=-1 and f(1)=1.
Plugging in the values -
[1-(-1)]/1
(1+1)/1
2
Therefore, the rate of change is 2 units.
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MATH HELP CALC
LOOK AT IMAGE
Answers
The right Riemann sum for the given function is 2.5.
Firstly, we must find the width of each of the subintervals Δx,
We know n = 4, a = 0, b = 2
∴ Δx = b - a / n
Δx = 2 - 0 / 4
Δx = 1/2
The width of each rectangle is 0.5
Next, we must find the locations of the right endpoints of the rectangles -
x1 = a + Δx(1) = 0.5
x2 = a + Δx(2) = 1
x3 = a + Δx(3) = 1.5
x4 = a + Δx(4) = 2
Now that we have the width of each rectangle, Δx = 0.5, and the right endpoints for the rectangles, x1 = 0.5, x2 = 1, x3 = 1.5, x4 = 2.
we can compute the right Riemann sum.
Computing the sum of the areas of the rectangles:
∑Δx f(x) = ∑ 0.5f(xi)
= 0.5 f(x1) + 0.5 f(x2) + 0.5 f(x3) + 0.5 f(x4)
= 0.5 (0.5) + 0.5 (1) + 0.5 (1.5) + 0.5 (2)
= 2.5
[tex]\int\limits^2_0 {x^{3} } \, dx[/tex] ≈ 2.5
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What is the domain and range of √ X 2?
Answers
The domain of √ X 2 is X ≥ 4. The range is all real numbers.
Here is the proof, In order for the square root to be defined, the radicand (the value inside the square root symbol) must be greater than or equal to zero. In this case, the radicand is X - 2, so we must have X - 2 ≥ 0, which is equivalent to X ≥ 4. Therefore, the domain of √ X - 2 is all values of X that are greater than or equal to 4. The range of √ X - 2 is all real numbers because the square root of any non-negative value is a real number.
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Caculate the total amount from a simple interest account
Principal $300
interest rate 7%
Time 2
Answers
Answer:
$42.00
Step-by-step explanation:
Interest = principle x rate x time
Interest = 300 x .07 x 2
Interest = 42
In direct variation where y = kx, if y = 18 and x = 4, what is the value of x when y = 36 ?
Answers
Answer:
18/4x36/x
18x=4x36
18x=144
x=144/18
x=8
Answer:
x = 8
Step-by-step explanation:
Given
y = kx ← k is the constant of variation
To find k use the condition y = 18, x = 4 , then
18 = 4k ( divide both sides by 4 )
4.5 = k
y = 4.5x ← equation of variation
When y = 36, then
36 = 4.5x ( divide both sides by 4.5 )
8 = x
HELP ME PLEASE AND THANK YOUUU
Answers
Answer:
x=3 y=1
Step-by-step explanation:
-2/3x+3=2x-5
x=3
y=-2/3(3)+3
y=1
y=2(3)-5
y=1
Question 3: Use the graph to fill in the blank with the correct number. f(3) =
10A
5
•
0
5
•
-5.
-10%
Your answer
Answers
Answer:
f(3) = 2
Step-by-step explanation:
See the attached graph. f(3) = ____ is asking us to find the value of the function, f, at the point x = 3. At x = 3, the value of y is 2.
Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
Answers
Answer:
C) {6+√43, 6-√43}
Step-by-step explanation:
Applying,
x = [-b±√(b²-4ac)]/2a.................... Equation 1
From the question,
Given: a = 1, b = -12, c = 7
Substitute these values into equation 1
x = [-(-12)±√(-12²+4×1×7)]/2×1
x = [12±√(144+28)]/2
x = [12±√172]/2
either,
x = (12-√172)/2
x = (12-2√43)2
x = (6+√43)
or
x = (12+√172)/2
x = (12+2√43)/2
x = (6+√43)
Hence,
The right answer is C). {6+√43, 6-√43}
Find the value of x. Round to the nearest tenth.
Answers
x = 30sin21 = 10.75 = 10.8 (to nearest tenth)
Frank earns an annual salary of $42,800. He pays 8% in total taxes. How much money will Frank pay in taxes each year?
Answers
Answer:
$3424
Step-by-step explanation:
42800 x .08
.08 = 8%
Clara baked a sheet cake with a length of 0.5 meters. She covered the cake in small 1 frosting polka dots that are the length of the cake. What is the approximate 100 length of a polka dot, in meters?
Answers
Answer:
kkuguftfhbnkmom ugvtvtv uvbuub
The table below shows the number of minutes played (x) by various basketball players and the number of rebounds (y) they had.
Scatter plot that has 2 through 20 for x and 1 through 10 for y.
a. Draw a scatter plot of the data. Label the axes.
b. Find an equation for a line of best fit.
c. Use your equation from part b above to predict how many rebounds a player would have if they played 30 minutes in the game.
I will give all my points to the first person that answers.
Answers
Answer:
A
Step-by-step explanation:
What is the value of x? Solve for x. You may build and solve the equation on your Equation Mat. Or you may solve the equation algebraically (to the right). Of this -2x-2=3 (-x+2 )
Answers
Answer:
[tex] - 2x - 2 = 3( - x + 2) \\ - 2x - 2 = - 3x + 6 \\ - 2x + 3x = 6 + 2 \\ x = 8[/tex]
Substitution method.
y=x - 5
y —3х – у = -3
Answers
Answer : ( 1, - 4 )
Explanation : y=x - 5
y —3х – у = -3
Step 1 : Consider the first eqaution. Subtract X from both sides.
y - x = -5
Step 2 : Consider the second eqaution. Combine y and -y to get 0 .
-3x = -3
Step 3 : Divide both sides by -3
x = -3 / -3
Step 4 : Divide -3 by -3 to get 1
x = 1
Step 5 : Consider the first eqaution. Insert the known values of variables into the equation.
y - 1 = -5
Step 6 : Add one to both sides.
y = -5 + 1
Step 7 : Add negative 5 and one to get negative 4 .
y = -4
Therefore, the answer is ( 1, - 4 )
What type of triangle is 70 70 40?
Answers
70-70-40 is an isosceles triangle.
The isosceles triangle has three acute angles, which means that the angles are less than 90°.The summation of three angles of an isosceles triangle is always 180°. In an isosceles triangle, if two sides are equal, then the angles opposite to the two sides correspond to each other and are also always equal.The two equal sides are defined as the legs and the third side is defined as the base of the triangle.The two angles opposite the legs are equal and are always acute, so the categorization of the triangle as acute, right, or obtuse depends only on the angles between its two legs.Read more about the isosceles triangle:
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What does → mean in math?
Answers
â' in mathematics refers to the hexadecimal representation of the number 10.
What does hexadecimal notation provide for?In machine code and assembly programming languages, hexadecimal is widely utilised. It is frequently used to refer to memory addresses. It can be used to represent numbers kept in a CPU's registers or in main memory, as well as during the debugging phase of designing a computer programme.
How is the hexadecimal notation read?Although there are six more digits to consider, counting in hex is very similar to counting in decimal. When a digit position exceeds "F," you roll that place over to "0" and increase the digit to the left by 1. And once you've reached 1F16, move on to 2016 and keep churning the right-most
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3 times one number minus a second is 8 and the sum of the numbers is 12
Answers
Answer: 3x-y=8
Step-by-step explanation:
A bag of
.5 red marbles
.6 blue marbles
.3 green marbles
.4 black marbles
.2 yellow marbles
A marble will be drawn from the bag and replaced 100 times how many green and black marbles will be drawn?
Answers
The number of green and black marbles will be 15 and 20 black marbles respectively.
How to illustrate the probability?Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.
We have the following information:
5 red marbles
6 blue marbles
3 green marbles
4 black marbles
2 yellow marbles
Total marble = 20 marbles
The number of green marbles:
= 3/20 × 100
= 15
The black marbles will be:
= 4/20 × 100
= 20
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Molly bought a large basket of 60 apples.
When she got home, she found 4 rotten
ones. If she goes back and buys 200 more
apples, how many rotten apples would she
expect there to be?
Group of answer choices
20
24
13
8
Answers
Step-by-step explanation:
1. 60 apples
2. 60-4=56
3. 56+200=256
200/60
60/4
60+60=120
120+60=180
I think either 13.
Mark has 10 pens. Kate has 5 times as many pens as Mark.
Which equation below answers how many pens Kate has? (y = number of
Kate's pens)
10 = 5 x y
B
10 = 5 + y
c.
y = 5 x 10
D
y = 10 - 5
Answers
Answer:
The answer to this questions is A
How do you find the sides of an isosceles triangle given the angles?
Answers
To find the sides of an isosceles triangle given the angles, use the Law of Cosines to calculate the length of each side.
An isosceles triangle has two angles and two sides that are both equal.. To find the sides, you will need to use the Sine Law. The Sine Law states that the ratio of the length of a side of a triangle to the sine of its opposite angle is equal for all sides and angles of the triangle.
For example, if you have the angles A and B, and you know that they are both equal (i.e. they are the angles of an isosceles triangle), then you can use the Sine Law to calculate the length of the sides:
Side AB = Side BC = (Side AC) x (Sin A / Sin B)
Where A and B are the angles of the triangle and Side AC is the known side length.
Once you have calculated the length of the two equal sides, you can then use the Pythagorean Theorem to calculate the length of the third side (the base).
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Sara had 222 dollars to spend on 9 books after buying then she had 15 dollars how much did each book cost
Answers
Answer:
each book cost=222-15=207/9=22.88 dollar
Which of the following is correctly written in Standard Form?
Answers
Therefore , the solution to the given problem of equation comes out to be4x-3y = 6 as a standard equation in all the above options.
An equation's definitionAn equation is a representation of two identical variables in mathematics, one on either side of an equals sign. Common difficulties can be solved using equations. We frequently seek pre algebra help when faced with obstacles in real life. Lessons in pre-algebra cover the basics of mathematics.
Here,
Given : 4x-3y = 6
-4x + 2y =8
=> y = 4/5x + 4
=> 4/5x + 2y = 6
Thus ,
From the above following equations we get ,
4x-3y = 6
as a standard equation in all the above options.
Therefore , the solution to the given problem of equation comes out to be 4x-3y = 6 as a standard equation in all the above options.
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Please answer quick! The question is in a file down below.
Answers
Answer:
perimeter= 9+9π cm
area= 40.5-10.125π cm²
Step-by-step explanation:
area of the square =9x9=81cm²
area of the two semicircles which have the same diameter =area of one circle
= (9÷2)²π =(81÷4)π
area of the whole shaded part = 81- (81÷4)π cm²
the area of each shaded part= (81-(81÷4)π)÷2
= 40.5-10.125π cm²
circumference of 2 semicircles= circumference of 1 circle = 2πr = 2x9xπ= 18π cm
then are perimeter of the whole shaded part = 18π+9+9= 18+18π cm
perimeter of each shaded part = (18+18π)÷2=
9+9π cm