For the given condition of lines to be parallel, slope of red line is same as green line which is equal to [tex]\frac{-3}{7}[/tex].
What are parallel lines?" Parallel lines are defined as the lines in the same plane with equal distance between them and do not intersect in the same plane."
What is the slope?" Slope is defined as the ratio of increment in the y-coordinates to the x-coordinates."
Condition of slope for two parallel lines
[tex]y = m_{1} x + c_{1}\\\\y = m_{2} x + c_{2}[/tex]
[tex]m_{1}[/tex] and [tex]m_{2}[/tex] represents the slope of parallel lines.
As slope of parallel lines always equal.
Therefore,
[tex]m_{1} = m_{2}[/tex]
According to the question,
Given,
The slope of the green line [tex]= \frac{-3}{7}[/tex]
Condition given,
Lines are parallel.
Using the condition of slope of parallel lines we have,
The slope of the parallel lines is always equal.
Therefore,
The slope of the red line [tex]= \frac{-3}{7}[/tex]
Hence, the slope of the red line [tex]= \frac{-3}{7}[/tex] as per the given lines is parallel.
Learn more about parallel lines here
brainly.com/question/16701300
#SPJ2
simplify the expression 3 b 7 3b 21
The value of the digit in the hundreds place in the number 653841 is 1/10 the value of the digit in the thousands place in which number?
A) 748917
B) 749817
C) 784917
D) 797481
Jeannie ate 1/4 of an apple.kelly ate 2/4 of the apple.how much did they eat together
Answer:
3/4
Step-by-step explanation:
Please help and explain
which one is it. please answer
Danessa needs to compare the area of one large circle with a diameter of 8 to the total area of 2 smaller circles with a diameter one-half that of the large circle. Which statements about the areas are true? Check all that apply.
1.The radius of the large circle is 4.
2.The radii of the small circles are each 2.
3.The radii of the small circles are each 4.
4.The area of one small circle will be one-half of the area of the large circle.
5.The total area of the two small circles will equal that of the large circle.
6.The total area of the two small circles will be one-half of the area of the large circle.
Answer:
The answer is: 1, 2, and 6
Step-by-step explanation:
Answer with Step-by-step explanation:
Diameter of larger circle=8
Diameter of smaller circles=4
We know that radius is half times the diamketer
and Area=πr² where r is the radius
Radius of larger circle=4
Radius of smaller circles=2
Area of larger circle=π×4²
=16π
Area of two smaller circles=2×π×2²
= 8π=one-half the area of larger circle
Area of one small circle=π×2²
=4π=one fourth the area of larger circle
Hence, the correct options are:
1.The radius of the large circle is 4.
2.The radii of the small circles are each 2.
6.The total area of the two small circles will be one-half of the area of the large circle.
how do I do identify calculate the area and perimeter for quadrilaterals
To calculate the area and perimeter of a quadrilateral, you need to know the shape of the quadrilateral and the lengths of its sides. The area can be calculated using different formulas depending on the shape, such as trapezoid, rectangle, parallelogram, or square. The perimeter is calculated by adding the lengths of all the sides.
To calculate the area and perimeter of a quadrilateral, we need to know the shape of the quadrilateral and the lengths of its sides.
1. Area:
Trapezoid: The area of a trapezoid can be calculated using the formula A = (base1 + base2) × height / 2, where base1 and base2 are the lengths of the parallel sides, and height is the distance between the parallel sides.Rectangle: The area of a rectangle is calculated by multiplying its length by its width, so A = length × width.Parallelogram: The area of a parallelogram is calculated using the formula A = base × height, where base is the length of one side and height is the perpendicular distance between the base and the opposite side.Square: The area of a square is calculated by multiplying the length of any side by itself, so A = side × side.2. Perimeter:
Trapezoid: The perimeter of a trapezoid is calculated by adding the lengths of all its sides.Rectangle: The perimeter of a rectangle is calculated by adding the lengths of its four sides, so P = 2 × length + 2 × width.Parallelogram: The perimeter of a parallelogram is calculated by adding the lengths of its four sides.Square: The perimeter of a square is calculated by multiplying the length of one side by 4, so P = 4 × side.Find the volume of the rectangular prism
23 in.3
297 in.3
318 in.3
159 in.3
Plz help!!
Each edge of a cube measures 4.7 in. What is the surface area of the cube? Enter your answer, as a decimal, in the box.
The measure of an edge of a cube = 4.7 in
We have to determine the surface area of the cube.
The surface area of a cube is the area of the six squares that cover it. The area of one square is [tex] a^{2} [/tex]. Therefore, area of six squares = [tex] 6a^{2} [/tex].
Surface area of cube = [tex] 6a^{2} [/tex] , where a is the edge of a cube
Therefore, Surface area of this cube
= [tex] 6a^{2} [/tex]
= [tex] 6 \times (4.7)^{2} [/tex]
= 132.54 square inches.
Therefore, surface area of the cube is 132.54 square inches.
Two angles are supplementary. If one measures x and the other angle measures x+ 30, what is the value of x ?
A line with a slope of 1/4 passes through the points (9, -8) and (5, d). what is the value for?
fill in the blank with a symbol that makes this statement true 5/12 and 1/3
This year Cornell’s class took one more than three times as many field trips as last years class. This year Cornell’s class took a total of 7 trips. How many trips did his class take last year
To find the number of field trips Cornell's class took last year, we set up the equation 3x + 1 = 7, where x represents the number of trips last year. Solving this, we find that Cornell's class took 2 field trips last year.
The question involves a basic mathematical equation to determine the number of field trips taken by Cornell's class last year. Since this year Cornell's class took 7 trips, and this number is one more than three times the amount of the previous year, we can set up the equation as x being the number of trips taken last year:
3x + 1 = 7
To find x, subtract 1 from both sides of the equation:
3x = 7 - 1
3x = 6
Now divide both sides by 3 to solve for x:
x = 6 / 3
x = 2
So, Cornell's class took 2 field trips last year.
different varieties of field daisies have numbers of petals that follow a fibonacci sequence.Three varieties have 13,21, and 347 petals.
How many petals do the next two varieties of field daisy have?
a. 42, 55
b. 47,60
c. 42,50
d. 55,89
Answer: D
55,89
I just did it and I got it right
Step-by-step explanation:
Ms Hendricks is buying a rectangular piece of land that is 2/5 mile on one side and 5/6 mile on an adjacent side. What is the area of the piece of land. help me please I don't get this
Final answer:
To find the area of Ms. Hendricks' rectangular land, multiply the lengths of the sides (2/5 mile and 5/6 mile), resulting in an area of 1/3 square mile.
Explanation:
The area of a rectangular piece of land is calculated by multiplying the length by the width. For Ms. Hendricks' piece of land, which measures 2/5 mile on one side (length) and 5/6 mile on an adjacent side (width), you would calculate the area by multiplying these two dimensions together:
Convert the fractions to have a common denominator if needed.Multiply the numerators of the fractions to find the numerator of the area.Multiply the denominators of the fractions to find the denominator of the area.Simplify the fraction if possible to find the final area in square miles.So, the calculation for the area would be:
(2/5) mile * (5/6) mile = (2*5)/(5*6) square miles = 10/30 square miles = 1/3 square mile.
Therefore, the area is 1/3 square mile.
Caitlin says that AC is the longest segment of fencing
Divide £24.50 in the ratio 3:4
Final answer:
24.50 divided in the ratio 3:4 gives £10.50 and £14.00.
Explanation:
To divide £24.50 in the ratio 3:4, you first need to add the parts of the ratio together, which gives you 3 + 4 = 7 parts in total.
Then, you should divide the total amount of money by the total number of parts to find the value of one part.
In this case, £24.50 ÷ 7 = £3.50 per part.
Since the ratio is 3:4, you multiply the value per part by the number of parts for each portion of the ratio.
For the first part of the ratio, you multiply £3.50 by 3, giving £10.50. For the second part, you multiply £3.50 by 4, giving £14.00.
Hence, £24.50 divided in the ratio 3:4 gives £10.50 and £14.00.
The table shows summary statistics for the dollar amounts spent by customers at two store locations over a period of 2 weeks.
Location Mean amount spent ($) Range ($)
A 84 15
B 97 25
Which conclusion is true?
Answer:
A.
Step-by-step explanation:
What is the median of the numbers 8.7, 8.7 8.9, 9.0, 9.1, 9.2? I know I'm supposed to find the middle number, but there's an even amount of numbers here. So I'm supposed to find the average of the two middle numbers, which are 8.9 & 9.0. What does it mean when it says I'm supposed to "find the AVERAGE of the two middle values"?
help please 40 points per question
Why is it more difficult to use repeated addition when multiplying two mixed numbers than it is to use repeated addition when you are multiplying a mixed number by a whole number?
The reason why it is more difficult to use repeated addition when multiplying two mixed numbers than it is to use repeated addition when you are multiplying a mixed number by a whole number is:
There is a whole number of groups of the mixed number. Ex: 1 1/2 x 3 would be 3 groups of 1 1/2, so 1 1/2 + 1 1/2 + 1 1/2.What is Multiplication?This refers to the mathematical operation that involves to find the product of a set of numbers.
What is Mixed Number?This refers to the type of number that is made up of a whole number and a proper fraction, for example,2 [tex]1/4[/tex].
With this in mind, if we have mixed numbers like 1 1/2 x 2 1/2, and we were to use repeated addition to multiply them, we would have 2 whole groups of 1 1/2, but then we would need to represent 1/2 group which requires multiplying or dividing first.
Read more about multiplication here:
https://brainly.com/question/10873737
Chris is twice as old as Don, and next year the sum of their ages will be four times as much as Don’s age last year. Find their present ages.
Answer:
Chris is 12 years old and Don is 6 years old.
Step-by-step explanation:
;)
The present age of Don is 6 years old and Chris age is 12 years.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let's denote Don's current age as x.
As Chris is twice as old as Don, Then, Chris's current age is 2x.
Next year, their ages will be x+1 and 2x+1 respectively.
The sum of their ages will be four times as much as Don’s age last year.
(x+1) + (2x + 1) = 4(x-1).
Expanding and solving for x:
3x + 2 = 4x - 4
x = 6
So, Don is 6 years old and Chris is 2×6 = 12 years old.
Hence, the present age of Don is 6 years old and Chris age is 12 years.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ6
Can someone please help me answer theses questions
Thank u so much
Please help.
Frank is buying his first car and is stuck on what color it should be. He has to choose between three shades of green, two shades of blue or r two shades of purple. What is the probability he will choose a green car?
I need help on this one please
if a=37 degrees and b=6, find a.
A. 3.4
B. 4.5
C. 6.1
D. 2.5
To find the value of 'a' when a = 37 degrees and b = 6, trigonometry principles are used to calculate 'a' as approximately 34.08 degrees.
Given: a = 37 degrees and b = 6. To find a.
Using trigonometry: We can use the trigonometric ratio tangent to find a. tan(a) = b/c, where c is the hypotenuse. So, tan(37) = 6/c. Therefore, c = 6/tan(37) = 8.37. Hence, a = tan-1(b/c) = tan-1(6/8.37) ≈ 34.08 degrees.
Answer: Therefore, a = 34.08 degrees.
sos
thanks in advance
A hot water heater measures 20" in diameter. What is the area of a metal base for the water heater, assuming a 2 inch overhang around the base of the water heater? (Round to the nearest tenth.) square inches.
If you add the extra 2 inches in each side and give the base a diameter of 24. The area comes out to 452.39. The answer is 452.39.
Area of the metal base of the water heater is equals to 452.6 square inches.
What is area of a circle?
"Area of a circle is the region enclosed by the circle in two dimensional plane."
Formula used
Area of a circle = πr²
Value of π = 22 /7
According to the question,
Given diameter = 20 inches
2 inches extended around the base of the water heater
New diameter = 24 inches
Therefore, radius = 12inches
Substitute the value of radius and π in the formula we get ,
Area of the base of the water heater = ( 22/ 7) ×(12)²
= 452.57 square inches
= 452.6 square inches (nearest tenth)
Hence, area of the metal base of the water heater is equals to 452.6 square inches.
Learn more about area of a circle here
https://brainly.com/question/22964077
#SPJ2
the measure of two supplementary angles have a ratio of 5:4. What is the measure of the larger angles?
a used car lot has all vehicles on sale at a 15% discount. Which expression can be used to find the sale price of a vehicle with an original price of p dollars?
Answer:
a
Step-by-step explanation:
m,n
The required expression for the sales price is 0.85p.
Given that,
A used car lot has all vehicles on sale at a 15% discount. Which expression can be used to find the sale price of a vehicle with an original price of p dollars is to be determined.
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Cost price is the price the buyer pays to the seller for an object or product.
Here,
The original sales price of the card is p dollars,
There is a 15% discount on the sale of cars,
15 % discount,
= p 15/100
= 0.15p
Now, price after discount,
= p - 0.15p
= 0.85p
Thus, the required expression for the sales price is 0.85p.
Learn more about percentages here:
brainly.com/question/13450942
#SPJ2