Answers
Answer:
1. 1/4 because rectangle B takes up 1/2 of the space and the two triangles together take up 1/4.
2. 1/2, because it is twice as big as C, which takes up 1/4 of the space.
3. 1/8, because both A and D together take up 1/4 of the space, and they are both the same size
4. 1/3, because the triangles around it each take up 1/6 of the space
5. 1/6, because it is half as large as square J, which takes up 1/3 of the space
Step-by-step explanation:
(hope this helps!)
The answers to each part is mentioned below.
What is trapezoid? A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides. The parallel sides of a trapezium are known as the bases, and its non-parallel sides are called legs.
Given is a trapezoid as shown in the image.
[A] -
The fraction is given by the ratio of square area and the trapezoidal area as -
{A(Square)/A(Trapezoid)} = A(C)/A(X)
[B] -
The fraction is given by the ratio of rectangle area and the trapezoidal area as -
{A(Rectangle)/A(Trapezoid)} = A(R)/A(X)
[C] -
The fraction is given by the ratio of triangle area and the trapezoidal area as -
{A(Triangle)/A(Trapezoid)} = A(T)/A(X)
[D] -
Total area of the figure [Z] → A{Z} = 4 x (1/2) x a x a = 2a².
Area of a square [J] → A{J} = a²
The fraction is given by the ratio of square area and the area of the image -
{A(square)/A(Z)} = a²/3a² = 1/3
[E] -
The fraction is given by the ratio of a triangle area and the area of the image -
{A(triangle)/A(Z)} = {a²/2}/3a² = 1/6
Therefore, the answers to each part is mentioned above.
To solve more questions on fractions, visit the link below -
https://brainly.com/question/8520205
#SPJ2
Related Questions
Help me please! I don’t understand! I’ll give you brainly!
Answers
Answer:
For number 2 it is = x(f + h)
For number 3 it is = x(g + h)
For number 4 it is = x(h + f)
For number 5 it is = x(f - g)
Hope this helps:)
Are the two triangles above similar? Why or why not?
A. Yes, they are similar by the AA similarity postulate.
B. Yes, they are similar by the SAS similarity theorem.
C. No, two congruent angles is not enough information to prove similarity.
D. No, triangles with two congruent angles are never similar.
Answers
Answer:
is it c??
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Because of the dashes on the angles, angle A is congruent to angle D and angle B is congruent to angle E. Since we know that 2 angles are congruent, the triangles are similar because of AA similarity
The Corner Cafe recently served 8 pastries, including 4 blueberry scones. Considering this data, how many of the next 18 pastries served should you expect to be blueberry scones? blueberry scones
Answers
Answer:
9
Step-by-step explanation:
because half of the 8 pastries served were blueberry. so you would divide 18 by 2
The coordinates of the vertices of △XYZ are X(−5, 5), Y(−3, −2), and Z(4, 0). The slope of XZ is __, the slope of YZ is __, and the slope of XY is __. △XYZ __ a right triangle because ____________.
-7/2 -5/9 -2/7 2/7 9/5 is is not no two of these slopes have a product of -1 two of these problems have a product of -1
Answers
Answer:
Slope of XZ = -5/9
Slope of YZ = 2/7
Slope of XY = -7/2
Step-by-step explanation:
Slope is expressed as;
m = y2-y1/x2-x1
For XZ
X(−5, 5), and Z(4, 0)
Slope of XZ = 0-5/4-(-5)
Slope of XZ = -5/4+5
Slope of XZ = -5/9
For YZ
Y(−3, −2), and Z(4, 0).
Slope of YZ = 0-(-2)/4-(-3)
Slope of YZ = 2/4+3
Slope of YZ = 2/7
For XY
X(−5, 5), Y(−3, −2)
Slope of XY = -2-5/-3-(-5)
Slope of XY = -7/-3+5
Slope of XY = -7/2
For two lines to be perpendicular, the product of their slope must be -1
Taking the product of XY and YZ
mXY * mYZ = -7/2 * 2/7
mXY * mYZ = -1
since the product of mXY and mYZ is -1. this shows that line XY is perpendicular to YZ and showing that the triangle XYZ is right triangle
The graph of a system of linear equations with the same slope and the same y-intercepts will have no solutions.
Always
Sometimes
Never
Answers
Answer:
Never
Step-by-step explanation:
If two equations have the same slopes and the same y-intercepts they are equivalent to each other
Here's why:
The formula for a linear equation is y= mx +b
b= y- intercept
m= slope
m and b are only variable that have to be replaced by a number for the equation to be complete
Therefore, when m and b (or the slope and the y-intercept) of both equations are the same, the two equations are the same
The answer would be allrealnumbers, not nosolutions
Hope this helps!!!
the height of a shed is 6cm. a ladder leans agaisnt the shed with its base 4.5 m away, and its top just reaching the roof. what is the length of the ladder?
Answers
Answer:
4.5m
Step-by-step explanation:
The set up is a right angles triangle
Height of the shed = opposite side = 6cm
Distance of the ladder from the shed = adjacent = 4.5m
Lenght of the ladder = Hypotenuse = x
Using pythegoras theorem to find the length of the ladder
hyp² = opp²+adj²
hyp² = 0.06² + 4.5²
hyp²= 0.0036+20.25
hyp² = 20.2536
hyp = √20.2536
hyp = 4.50m
Hence the length of the ladder is 4.5m
Jodie bought a refrigerator on sale for 35% off the original price, for $97. What was the price of the refrigerator before the sale?
Answers
$97 = (Original Price) - (35% of Original Price)
$97 = (Original Price) - (0.35 of Original Price)
$97 = (1 - 0.35) of (Original Price)
$97 = (0.65) of (Original Price)
$97 = 0.65 · (Original Price)
Divide each side by 0.65 .
$97/0.65 = Original Price
$149.23 = Original Price
Find missing Heights
Answers
Answer:
15 feet. 10 plus 15=25 s0 therefore it is 15
Oceanside Bike Rental Shop charges a 15 dollar fixed fee plus 9 dollars an hour for renting a bike. Dan paid 69 dollars to rent a bike. Which equation when solved would show how many hours the bike was rentented? Let h = hours
Answers
Answer:
Step-by-step explanation:
Dan paid 69 divided by 9 = H - 15
Find the slope and the y-intercept of the line.
y=-2
5
Ex+6
slope:
.
08
Х
$
y-intercept: 0
Answers
Answer:
Slope = -⁵/2
y-intercept = 6
Step-by-step explanation:
The equation, [tex] y = -\frac{5}{2}x + 6 [/tex], is given in the slope-intercept form, y = mx + b
Where:
m = slope
b = y-intercept
Therefore:
Slope of the equation = -⁵/2
y-intercept if the equation = 6
Olivia is making scarves each score will have seven rectangles and 6/7 right angle will be purple high before rectangles does she need for three scarves
Answers
Answer: 6 purple rectangles
Step-by-step explanation: We know that each scarf will have 5 rectangles and 2/5 of the rectangles will be purple: 2/5 * 5 = 2. It means that each scarf will have 2 purple rectangles. And for 3 scarves : 3 * 2 = 6. Answer: She needs 6 purple rectangles.
A model maker wants to make a model of a ship. He will use a scale of 1:50. The ship was 100ft long. 1 foot=0.3m
Answers
you are a girl or boy. #/
For example, Emily received a 67 on her first economics exam, which counts for 20% of her grade; an 84 on her second exam, which counts for 30% of her grade; and a 78 on her third exam, which counts for 50% of her grade. What is her weighted average in the class
Answers
Answer:
77.6
Step-by-step explanation:
Given the data:
Weighting :
First exam = 20% ; second exam = 30% ; third exam = 50%
Scores :
First exam = 67 ; second exam = 84 ; third exam = 78
Weighted Average :
Σ(Weight * Score)
Σ[(0.2 * 67) + (0.3 * 84) + (0.5 * 78)]
13.4 + 25.2 + 39
= 77.6
Based on the weights assigned to these grades, Emily's weighted average in the class would be 77.6 marks.
Emily's weighted average= ∑ (Percentage of grade x Score in exam)
Solving gives:
= (20% x 67) + ( 30 % x 84) + (50% x 78)
= 13.4 + 25.2 + 39
= 77.6
Emily's weighted average is 77.6 marks.
Find out more on weighted average at https://brainly.com/question/14432034.
I need the simplified expression for this please
Answers
Answer:
16x+5
Step-by-step explanation:
Answer:
[tex]\huge\boxed{\sf 16x+5}[/tex]
Step-by-step explanation:
[tex]\sf 5(2x-1)+2(3x+5)\\\\Expanding \ Parenthesis\\\\= 10 x -5+6x+10\\\\Combining \ like \ terms\\\\= 10x+6x-5+10\\\\=16x + 5\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Segment BD is a midsegment of triangle AEC
Which equation could be used to find the value of x
A 39x-11=17x+6
B 39x-11=2(17x+6)
C 2(39x-11)=17x+6
D 2(39x-11)=2(17x+6)
Answers
Answer:
B 39x-11=2(17x+6)
Step-by-step explanation:
What word describes the slopes of the line
Answers
Answer:
Positive
Step-by-step explanation:
There are a couple ways we can go about this.
First, we can see that as x increases, so does y, so that means its positive
For perspective, if x is the amount of time and y is the number of sales, we can see that the sales are going up and not going down or staying at the same place
If you wanna check your work on that, you can plot two points and find the slope using y1-y1/x1-x2 and the slope will be positive.
We can also use the process of elimination, we know it can't be zero because it's not a straight, horizontal line and we know its not undefined because it isn't a straight vertical line, so it's between negative and positive, and since the line is going up, that means that it's positive.
Round to the nearest whole number: 123.45
Answers
Answer:
123
Step-by-step explanation:
because if its lower than 50 you round down, if its 50 or above you round up
Answer:
If you like to round 123.45 to the nearest tenth, leaving only one number after the decimal point, then you have come to the right post. Number:.
Step-by-step explanation:
What is the x-intercept of the following equation? 4x + 2y = 12
Answers
Answer:
3
Step-by-step explanation:
plz help need this! pic in bottom!
Answers
Answer:
Step-by-step explanation:
13d + 8 = -1
subtract 8 from both sides
13d = -9
d = -9/13
either keep it in fraction form or if you divide it out it is -0.6923
13d = -9
Then you need to get d by itself
So divide both sides by 13
The answer should be about -0.69
d = -0.69
Is the graph proportional or nonproportional number of chores and age
Answers
Answer:
where is the graph??
Step-by-step explanation:
3x+8=35 Show your work
Answers
Answer:
x=9
Step-by-step explanation:
So first subtract 8 on both Sides
3x+8-8=35-8
3x=27
Now divide 3 on both sides to isolate the variable x
x=9
So x=9
Answer:
so to do this you need to subtract 8 from 35 to get 27 now do 27 divide by 3 to get 9
3x+8=35
3x=35 - 8 = 27
3x = 27
3x divided by 27 = 9
Step-by-step explanation:
Write an equation for the n
term of
the arithmetic sequence:
15, 28, 41, ...
Answers
Answer:
13n+2
Step-by-step explanation:
find the difference between the numbers which is 13
》13n
from 13 to 15 you add 2
》13n+2
Potato salad can be purchased at the grocery store for $2.58 per pound. If Michael wants to buy 2.5 pounds of potato salad, how much will it cost?
Answers
Answer: $6.45
Step-by-step explanation: Since 1 pound is $2.58, and we need to find out how much is 2.5 pounds, we can just multiply 2.58 by 2.5. Should be simple for you. Hope this helps. :)
Parallelogram PQRS is rotated 90° clockwise about the origin to create parallelogram P'QʻR'S'. Which rule describes this transformation? (Please leave a small explanation)
Answers
therefore your answer is H. If you need a little more explaining comment:))
First person to answer will get 100 points & Brainliest!
Answers
Answer:
heyyyyyy
Step-by-step explanation:
Charles is planning on driving his car to the family reunion. The distance to
the meeting place is 1243 miles. If his car gets 30 mpg, how many gallons of
gas will he need?
A. 41.4
B. 51.4
C. 31.4
D. 21.4
Answers
Answer: 41.4
Step-by-step explanation:
1243/30=41.4
Melanie is looking for a loan. She is willing to pay no more than an effective rate of 9.955% annually. Which, if any, of the following loans meet Melanie’s criteria?
Loan A: 9.265% nominal rate, compounded weekly
Loan B: 9.442% nominal rate, compounded monthly
Loan C: 9.719% nominal rate, compounded quarterly
a.
B only
b.
A and C
c.
A and B
d.
None of these fit Melanie’s criteria.
Answers
Answer:
The correct answer is C.
Step-by-step explanation:
Giving the following information:
Loan A: 9.265% nominal rate, compounded weekly
Loan B: 9.442% nominal rate, compounded monthly
Loan C: 9.719% nominal rate, compounded quarterly
To calculate the effective annual rate, we need to use the following formula:
Effective annual rate= [(1+i)^n] - 1
Loan A:
i= 0.09265/52= 0.001782
Effective annual rate= [(1.001782^52) - 1]
Effective annual rate= 0.097 = 9.7%
Loan B:
i= 0.09442/12= 0.007868
Effective annual rate= [(1.007868^12) - 1]
Effective annual rate= 0.0986 = 9.86%
Loan C:
i= 0.09719/4= 0.02439
Effective annual rate= [(1.02439^4) - 1]
Effective annual rate= 10.11%
Answer:
c
Step-by-step explanation:
2.
The PE teacher is ordering equipment for the next school year. There are 156 students. She needs enough basketballs so that there is 1 basketball for every 12 students. How many basketballs does she need to order?
a.
312 basketballs
c. HELP PLSSSS
13 basketballs
b.
12 basketballs
d.
11
Answers
Answer:
13 basketballs
Step-by-step explanation:
In a class of 23 students, 12 have a cat and 6 have a dog. There are 2 students who
have a cat and a dog. What is the probability that a student who has a cat also has a
dog?
Answers
Answer:
2/23
Step-by-step explanation:
I think it's because there's 2 students out of 23 students who have a cat and a dog. So, I'm assuming the answer is 2/23
Answer:
2/12
Step-by-step explanation:
Add the two expressions.
−4.2x+3 and 2.5x−6
Answers
Combine like terms
Simplified:
-1.7x-3 is your answer