Answer:
∠AEB = 62°
∠CED = 62°
∠CDE = 36°
Step-by-step explanation:
The measure of ∠m = ∠CDE of the triangle and ∠CDE = 36°
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the first triangle be represented as ΔABE
Let the second triangle be represented as ΔCDE
The measure of angle ∠EAB = 62°
The measure of angle ∠ABE = 56°
The sum of the interior angles of a triangle = 180°
So , the measure of angle ∠AEB = 180° - ( 62° + 56° )
The measure of angle ∠AEB = 180° - 118°
The measure of angle ∠AEB = 62°
And , by vertically opposite angles
The measure of angle ∠AEB = measure of angle ∠CED
And , the measure of ∠CDE = 180° - ( 82° + 62° )
The measure of ∠D = 180° - 144°
The measure of ∠D = 36°
Therefore , the measure of ∠m = 36°
Hence , the measure of angle ∠D is 36°
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Simplify and factor the expression 9(4p-2) - 4(3p-2)
Answer:
24p - 10
Explanation:
(1,6) (3,4) what’s the slope?
Answer: m = -1
The slope is -1
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Triangle A has side lengths 3,4 and 6. Triangle B had side lengths 6,8 and 12 triangle A and B are?
Answer:
Similar
Step-by-step explanation:
Both triangles have corresponding sides, so they are similar.
The two triangles A and B are similar to each other.
What is the similarity?If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
Given that triangle, A has side lengths 3,4, and 6. Triangle B had side lengths 6,8 and 12.
The second triangle is dilated by factor 2. This means in triangle B the sides are two times the side of triangle A.
Therefore, the two triangles A and B are similar to each other.
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Ok, I made a mistake on my last question, but this time I have the right one. Solve v, 5/v=2/7.25
Answer:
[tex]v=\frac{145}{8}[/tex]
Step-by-step explanation:
[tex]\frac{5}{v}=\frac{2}{7.25}[/tex]
[tex]\frac{5}{v}=\frac{2}{\frac{725}{100}}[/tex]
[tex]v=\frac{2}{\frac{5^2*29}{2^2*5^2}}[/tex]
[tex]v=\frac{145}{8}[/tex]
Think about the methods you have for comparing two probabilities to decide which is greater. In your Learning Log, create an example and explain two different strategies for comparing probabilities. Title this entry "Comparing Probabilities" and label it with today's date.
Answer:
Step-by-step explanation:
Probabilities are basically values determining how likely something is to happen. These values are usually represented in fractions or percentages which are the two main strategies as well for comparing probabilities. For comparing probabilities through fractions we would try to make sure the denominators are equal and then compare the numerators. The higher numerator is the probability with the highest chance of something happening. For example...
[tex]\frac{3}{4} > \frac{1}{4}[/tex] ... 3/4 is a much higher probability than 1/4
The second strategy would be using percentages in the same way. The higher percentage is the one with the highest probability while the lower percentage is the one with the lower probability.
96% > 54%
Does a triangle with these side lengths exist 15,12,9
Answer:
Yes it does exist
Step-by-step explanation:
You must be able to add any two sides and get a number greater than the third side in order to be considered a triangle.
In this case that is possible.
Hope this helps!
The price of a television increased from $325 to $390. By what percentage was the price of the television increased?
Answer: 13.76 percent
Step-by-step explanation:
help please !!! show work
Answer:
y = [tex]\frac{2w}{x^{2}}[/tex]
Step-by-step explanation:
To solve an equation for one of its variable do that
Underline the variableSeparate it on one side and the other terms on the other sideMake its coefficient equal 1Let us use these steps to solve our question
∵ w = [tex]\frac{1}{2}[/tex] x²y
→ Underline y
∴ w = [tex]\frac{1}{2}[/tex] x²y
→ Multiply both sides by 2 to cancel the denominator 2
∵ 2 × w = 2 × [tex]\frac{1}{2}[/tex] x²y
∴ 2w = x²y
→ Divide both sides by x² to move it to the left side
∵ [tex]\frac{2w}{x^{2}}[/tex] = [tex]\frac{x^{2}y}{x^{2}}[/tex]
∴ [tex]\frac{2w}{x^{2}}[/tex] = y
→ Switch the two sides
∴ y = [tex]\frac{2w}{x^{2}}[/tex]
Gavin likes biking. This week his goal is to bike about 65 total miles over four days. Each day he wants to ride 1.5 times as far as he rode the day before. How far should he ride on each of the four days. Write the expressions for the distance Gavin needs to bike each day. Then relate these expressions to create an equation that represents Gavin's situation.
Step-by-step explanation:
let the first-day ride be x
Then the second-day ride will be =1.5 x
The third-day ride will be=1.5(1.5x)
The Fourth-day ride will be=1.5*1.5(1.5x)
hence for the four days the distance covered is
65=x+1.5x+1.5*1.5x+1.5*1.5*1.5x
65=x+1.5x+2.25x+3.375x
65=8.125x
divide both sides by 8.125 we have
x=65/8.125
x=8mile
the first-day ride be x=8miles
the second-day ride will be =1.5 x =1.5*8= 12miles
The third-day ride will be=1.5(1.5x) = 18miles
The Fourth-day ride will be=1.5*1.5(1.5x) = 27miles
· Evaluate f(2a + b), where f(x) = 4x2 – 3x.
Answer:
2af+bf = 2af+bf
Step-by-step explanation
f(x) = 4x2 – 3x. = x(4x−3)
cómo se resuelve?
a) 3X+Y=16
5X-Y=24
b) 5X+4Y=35
2X+2Y=16
c) X+Y =21
3X+7Y=107
people wont solve my question i need it ASAP
Answer:
A pig has 10,000 kg mass more than a mass
Step-by-step explanation:
[tex]\frac{2*10^{2}}{2*10^{10}}=\frac{10^{2}}{10^{-2}}\\\\=10^{2}*10^{2}\\\\=10^{2+2}\\\\=10^{4}\\\\=10000[/tex]
Gianna earned $466.90 at her job when she worked for 23 hours. How much money did she earn each hour?
Answer:
About $20.30
Step-by-step explanation:
$466.90 divided by 23.
Would you rather discover alien life or an animal that was thought to be extinct?
[tex]\boxed{I\; would\; say\; an\; animal\; that\; was\; thought\; to\; be\; extinct.}[/tex]
≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈
The reason i say this is because i don't really want to run into something that i don't know much about. I do know quite a bit about extinct animals more than i do aliens. So, that's my reasoning.
≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈
[tex]\boxed{Hope\;i\;helped!}\\\\\boxed{Thanks,\;AnimeBrainly}[/tex]
A can run 3 miles in 30 minutes. How long will it take
the runner to run 2.5 miles? Use the diagram to explain.
Answer:
It will take her about 25 minutes.
Step-by-step explanation:
30 divided by 3 is ten.
It takes ten minutes to run each miles.
I don't have a diagram, but try drawing a graph with the information.
If f(a) = 3a? – a, then what is the value of f(-2) ?
Answer:
Step-by-step explanation:
-7
The cooking club made some pies to sell during lunch to raise money for a field trip. The cafeteria helped by donating 3 pies to the club. Each pie was then cut into 6 pieces and sold. There were a total of 72 pieces to sell. How many pies did the cooking club bake?
Answer:
9 pies
Step-by-step explanation:
From the question, we were given,
Number of pies = 3
Number of pieces cut from each pie = 6
Given total number of pieces to sell = 72
But the Number of pieces from 3 pies = 3×6
=18
so, Number of pieces the club needed to make is given = 72-18= 54
Since each pie is cut into 6 pieces
And number of extra pieces needed = 54
Then the number of pies the cooking club bake is 54/6= 9 pies
Therefore, the club bake 9pies
what is the slope of a line perpendicular to the line whose equation is 9x+3y=-27
Answer:
y = (1/3)x - 27 <-- perpendicular line
Step-by-step explanation:
9x + 3y = (-27)
3x + y = (-27)
y = (-3x) - 27 <-- original line
y = (-3x) - 27 <-- original line
slope = (-3)
slope = (-3/1)
inverse = (1/-3)
negative inverse = (1/3)
y = (1/3)x - 27 <-- perpendicular line
The area of this field is about 500,000 m2. What is the field's area to the nearest square meter? Assume that the side lengths of the square are exactly 800m.
Answer:
502,655[tex]m{2}[/tex]
Step-by-step explanation:
field's area to the nearest square is 1,40,000 m².
What is the area of composite shapes?The area of composite shapes is the area that any composite shape covers. A composite shape is one that is made up of a few polygons that are joined together to make the desired shape. These forms or figures can be constructed out of triangles, squares, quadrilaterals, and so on. To calculate the area of a composite shape, divide it into fundamental shapes such as squares, triangles, rectangles, hexagons, and so on.
Given area of the circular field is 500,000 m². and also given the side of a square around it which is 800 m.
Hence, the area of the square is 640,000 m².
Therefore the remaining area of the space is 1,40,000 m².
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Please help me. how do you find the slope?
Answer:
The slope of the line is 4.
Step-by-step explanation:
Remember to keep rise and run over mind. Starting at (-1,0), the line goes up four to (-1, 4) and the runs one point to (-1, 0). Hope this helps!! Please mark as helpful if it was helpful.
help. you are converging 8 centimeters to meters. how will the number of meters compare to 8? explain
Answer:
0.08
Step-by-step explanation:
Because one cm to meters is 0.01 and times it by 8
=0.08
Angel has an action figure collection of 300 action figures. He keeps 267 of the action figures on his wall. What percentage of Angel's action figure collection does he keep on his wall?
Answer:
89% of Angel's action figure collection keeps on his wall.
Step-by-step explanation:
Percentages
To calculate the X% of a quantity Y, we must multiply both numbers and divide by 100:
X% of Y = X * Y / 100
For example, 15% of 780 = 15 * 780 / 100 = 117
If we want to know what percentage is m with respect to n, we proceed as follows:
percentage = m / n * 100%
Anges has a 300 action figures collection, 267 of which are kept on his wall. Here m=267, n=300, thus:
percentage = 267 / 300 * 100% = 89%
89% of Angel's action figure collection keeps on his wall.
i feel bad for asking a longer question but i'm really in need of help to finish my test review its a big grade and i'm struggling on this problem
what is the equation of a line parallel to y=3x-2 and goes through the point (-1,1)
Answer:
y = 3 x − 29
Step-by-step explanation:
First, let's find the slope of the line
y = 3 x + 2
As the equation is already in slope-intercept form
y = m x + c
Slope = 3
Let a point ( x , y ) be on the new line.
By finding the slope again,
y − 1 x − 10 = 3
y − 1 = 3 ( x − 10 )
y − 1 = 3 x − 30
Which can then be converted to different forms:
Standard form:
3 x − y = 29
Equation form:
3 x − y−29 = 0
Slope-intercept form:
y = 3 x − 29
graph{3x-y=29 [-32.3, 47.7, -34.1, 5.9]}
Grandma baked 969696 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received ccc fewer cookies than she would have received had all of the cookies been evenly divided among the 8 grandchildren. How many cookies did Cindy receive?
Answer:
Cindy get (12-c) amount while others get 12 cookies
Step-by-step explanation:
From the question we are informed that Grandma baked 96 cookies
And there are 8 Number of grandchildren available
But the cookies must be divided equally among this grandchildren to calculate the number of cookies each of them get we have,
= 96 cookies baked/8 Number of grandchildren available
= 12 cookies
Which means each get 12 cookies
But
Cindy received less cookies with less C amount.
Then Cindy own will be( 12-c) cookies
Therefore Cindy get (12-c) amount while others get 12 cookies
Answer:
12-c
Step-by-step explanation:
Khan academy unit test, 7th grade math.
In the House of Commons, citizens elect their members. Of the 800 members, 530 are from England, 120 are from Wales, 100 are from Scotland and 50 are from Northern Ireland. What is the percentage of members from Wales?
Answer:
15%
I like your demon slayer profile picture
Answer:
The answer is 15%.
Step-by-step explanation:
If 100 is 10% it only makes since that 15% is the right answer.
Hope This Helps!
Joe and Carmen are partners in a business. Joe makes $2.00 profit for every $5.00 profit that Carmen makes. If Carmen makes $20 on the first item they sell, how much profit will Joe make?
A youth group is selling snacks to raise money to attend their convention. Amy sold 2 pounds of candy, 3 boxes of cookies and 1 can of popcorn for a total sale of $65. Brian sold 4 pounds of candy, 6 boxes of cookies and 3 cans of popcorn for a total sale of $140. Paulina sold 8 pounds of candy, 8 boxes of cookies and 5 cans of popcorn for a total sales of $250. What is the cost of each item
Answer:
The cost of a can of popcorn is $10.
The cost of a box of cookies is $5.
The cost of a can of popcorn is $20
Step-by-step explanation:
First you must propose a system of equations, a set of two or more equations with several unknowns in which you want to find the value of each unknown so that all the equations of the system are fulfilled.
Defining the variables:
x: cost of one pound of candyy: cost of a box of cookiesz: cost of a can of popcornAmy sold 2 pounds of candy, 3 boxes of cookies and 1 can of popcorn for a total sale of $65. Then:
2*x + 3*y + 1*z=65 Equation 1
Brian sold 4 pounds of candy, 6 boxes of cookies and 3 cans of popcorn for a total sale of $140. So:
4*x + 6*y + 3*z=140 Equation 2
Paulina sold 8 pounds of candy, 8 boxes of cookies and 5 cans of popcorn for a total sales of $250. Then:
8*x + 8*y + 5*z=250 Equation 3
Then the system of equations is formed by these three equations.
A method to solve a system of equations is by means of the substitution method, which consists of isolating one of the two unknowns in an equation to substitute it in the other equation.
Isolating z from Equation 1:
[tex]z=65-2*x-3*y[/tex] Equation 4
Replacing in Equation 2:
4*x + 6*y + 3*(65 -2*x-3*y)=140
4*x + 6*y + 195 - 6*x - 9*y= 140
-2*x - 3*y=140-195
-2*x - 3*y=-55
2*x + 3*y= 55
and isolating x:
[tex]x=\frac{55-3*y}{2}[/tex] Equation 5
Replacing in Equation 4:
[tex]z=65-2*\frac{55-3*y}{2} -3*y[/tex]
z=65 - (55-3*y) - 3*y
z= 65 -55 + 3*y - 3*y
z= 10
So the cost of a can of popcorn is $10.
Replacing equation 5 and the value of z in equation 3:
8*[tex]\frac{55-3*y}{2}[/tex] + 8*y + 5*10=250
[tex]\frac{8}{2}[/tex]*(55 -3*y)+ 8*y + 5*10=250
4*(55 -3*y)+ 8*y + 5*10=250
4*55 - 4*3*y + 8*y + 50=250
220 - 12*y + 8*y + 50=250
-12*y + 8*y= 250 -220 - 50
-4*y= -20
[tex]y=\frac{-20}{-4}[/tex]
y= 5
So the cost of a box of cookies is $5.
Finally replacing the value of y in Equation 5 you get the value of x:
[tex]x=\frac{55-3*5}{2}[/tex]
[tex]x=\frac{55-15}{2}[/tex]
[tex]x=\frac{40}{2}[/tex]
x=20
Finally, the cost of a can of popcorn is $20
help TWT ;-;-;-;-;-;-;
Answer:1
Step-by-step explanation:
Answer:
the answer is 1
Step-by-step explanation:
What is the slope-intercept equation
for the following line?
y = -2x + [?]
What is the intercept?
Answer:
y = -1/2x - 3
Step-by-step explanation: