Given AB || CD, what is the m
Answers
The value of x is 130° and that of y is 130° as AB and CD are parallel lines.
What is parallel lines?
Parallel lines in geometry are two lines in the same plane that are at equal distance from each other but never intersect. They can be both horizontal and vertical in orientation. Parallel lines can be found in everyday life, such as zebra crossings, notepad lines, and railway tracks. Two lines (in the same plane) are said to be parallel if they never collide, regardless matter how far they are extended on either side. Parallel lines travel parallel to each other, like train tracks.
Here,
x=180-50
x=130°
x=y
y=130°
Because AB and CD are parallel lines, the value of x is 130° and the value of y is 130°.
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Related Questions
What is the simplified form of the quantity of x plus 8, all over the quantity of x plus 2 + the quantity of x minus 3, all over 4?
The graph shows the data points in the table and the exponential regression model associated with the data. A 2-column table with 5 rows. The first column is labeled days after treatment with entries 2, 4, 6, 8, 10. The second column is labeled number of weeds with entries 100, 26, 6, 2, 1. A graph shows days after treatment labeled 1 to 11 on the horizontal axis and number of weeds on the vertical axis. A line shows a downward trend. Based on the graph of the regression model, which is true? The number of weeds is decreasing by a multiplicative rate. The number of weeds is increasing by a multiplicative rate. The number of weeds is decreasing by an additive rate. The number of weeds is increasing by an additive rate.
The product of two consecutive integers is 110. find the integers?
Evaluate the expression: 2 1/4 - 3/6
12
24
144
Answers
A^2+B^2=C^
16^2+B^2=20^2
256+B^2=400 subtract 256 from both sides
B^2=144 now take the square root of both sides
B=12
The second leg is 12 cm long. Your answer is B, the second answer.
Answers
Answer:
11.11 gallons
Step-by-step explanation:
In each gallon fuel Haley's car gets at least = 18 miles
She plans a trip that is 200 miles.
She will need fuel for 200 miles =
= 11.11 gallons
Haley will need minimum number of 11.11 gallons for her trip.
This means that the minimum number of gallons that she will need is 11.1.
Answers
Answers
Answer:
Width is 120ft but may be different if the "times the width" information is given. Follow the same process.
Step-by-step explanation:
To solve the problem, write an expression that relates length and width using the information given to you. "The length of a rectangular park is 3 feet shorter than times its width" means that l = 3 + w. Since no number is given for "times its width" we disregard this portion. If you have the information then you would include it here l = 3 + _w.
So using the expression l = 3 + w, substitute l = 123. Then the width will be:
l = 3 + w
123 = 3 + w
120 = w
Final answer:
The width of the rectangular park is 126 feet. This was found by setting up an equation based on the problem description and then solving for the width.
Explanation:
The subject of this question is Mathematics, specifically algebra. The problem states that the length of a rectangular park is 3 feet shorter than its width, with the length being given as 123 feet.
First of all, let's define the length with a variableL and the width with a variable W. From the problem, we can write the equation, L = W - 3. Since we know that L = 123 feet, we can substitute this value into the equation, getting 123 = W - 3.
To find W, all we need to do is add 3 to both sides of the equation. Hence, W = 123 + 3 = 126 feet. So, the width of the park is 126 feet.
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Answers
The correct answer is:
$1000
Explanation:
Your gross pay goes up $500; this is the integer +500.
Since employee benefits increase $200, this is adding 200 to our number:
500+200 = 700.
Job expenses decrease $300. This means the amount that you pay for expenses goes down $300; this is an addition to your income:
500+200+300= 700 + 300 = 1000
Answer:
The total employment compensation is "increased by $1000"
Step-by-step explanation:
We need to find the total employment compensation.
Let "x" be the gross pay that an employee gets before the benefit.
The gross pay increase by $500
So, the employee get x + $500
The employee benefits increase by $200, this is adding 200
x + 500+200 = x + 700.
The Job expenses decrease by $300.
Total = x + 700 + 300
Total = x + $1000
Therefore, the total employment compensation is increased by $1000.
Answers
Let's start with the two triangles at either end of the prism.
A = 1/2bh Area of a triangle
A = 1/2(6)(8) Substitute
A = 24 Multiply / Divide
We now know that the area of the triangle at the end of the prism is 24 yd². However, since there are two of these triangles, we'll need to multiply that by 2. So, in total, the area of the two triangles is 48 yd².
There are three more rectangles that we need to find the area for: the base of the prism, the vertical edge of the prism, and the slanted edge of the prism.
A = lw Area of a rectangle
A = (9)(10) Area of the slanted edge
A = 90 yd² Multiply
A = (9)(6) Area of the base
A = 54 yd² Multiply
A = (8)(9) Area of the vertical edge
A = 72 yd²
We now have the area for both triangles and each rectangle. Now, all we have to do is add these together to get the total surface area!
72 + 54 + 90 + 48 = 264 yd²
Surface Area = 264 yd²
The answer is 264 yd², or answer choice C.