Answer:
Step-by-step explanation:
To construct the parallelogram WXYZ using a ruler and a pair of compasses, follow these steps:
Step 1: Draw a line segment XY of length 6.4 cm.
Step 2: From point X, draw an angle of 120 degrees.
Step 3: Set the compasses to a radius of 4.7 cm and draw an arc intersecting the line XY at point Y.
Step 4: From the intersection point on the arc, draw another arc intersecting the line XY at point Z.
Step 5: Draw a line segment connecting points Y and Z.
Step 6: Draw a line segment parallel to YZ, passing through point X.
Step 7: Draw a line segment parallel to XY, passing through point Z.
The resulting shape is the parallelogram WXYZ.
Now, let's address the remaining questions:
(b) Constructing the loci:
(i) Locus l1: To construct the locus of points equidistant from line XR and line XY within the parallelogram, draw perpendicular bisectors of line segments XR and XY. The intersection of these perpendicular bisectors will give you the locus l1.
(ii) Locus l2: To construct the locus of points at a distance of 4 cm from point Y, draw arcs with a radius of 4 cm centered at point Y. The locus l2 will be the arc formed.
(iii) Locus l3: To construct the locus of points equidistant from points R and Z, draw the perpendicular bisector of line segment RZ. The intersection of the perpendicular bisector with the interior of the parallelogram will give you the locus l3.
(c) Finding the intersections:
To find the intersections of locus l2 and locus l3, as well as locus c and locus D, you need to provide additional information or loci equations. Without specific instructions or equations, it is not possible to determine the precise points of intersection.
Please provide more information or equations if you need assistance with finding the intersections.
Joe borrowed $4,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 3 years?
Answer:
Wmkwkqkw siwiq q wksos ww wkwlwkw wlw
Answer:
$840
Step-by-step explanation:
4000 x .07= 280
280 x 3 = 840
next three terms in (1024, -128, 16...) you can write them as fraction if needed
Answer:
-2 1/4 - 1/32
Step-by-step explanation:
16x -1/8 = -2 do the same for all
A blood bank needs 6 people to help with a blood drive. 13 people have volunteered. Find how many different groups of 6 can be formed from the 13 volunteers.
The number of different groups of 6 that can be formed from the 13 volunteers is; 1716
How to solve permutation and combination?
This is a combination question that follows that formula;
nCr = n!/(r!(n - r)!)
We are told that the blood bank needs 6 people to help with a blood drive and that 13 have already volunteered.
Thus, number of different groups of 6 that can be formed from the 13 volunteers is;
¹³C₆ = 1716
Read more about Combinations at; https://brainly.com/question/16152577
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49x^2 -_x + 16
Can someone help with the missing number
Step-by-step explanation:
I'm guessing this is competing the perfect square
so it's 56
Answer:
Step-by-step explanation:
4x² + 28x + 49
4x² + 14x + 14x + 49
2x(2x) + 2x(7) + 7(2x) + 7(7)
2x(2x + 7) + 7(2x + 7)
(2x + 7)(2x + 7)
(2x + 7)²
= 28
Please help. I don’t know what to do.
Answer:
83
Step-by-step explanation:
The sum of the interior angles of any closed figure will always equal 360º, so what you need to do is add:
109+90+78=?
This will in turn give you 277.
Subtract 277 from 360, and boom, 83 degrees.
Which is the best first step when solving the following system of equations?
5C+40= 10
3C+2d=16
Answer:
multiply the second equation by - 2
Step-by-step explanation:
Given the 2 equations
5c + 4d = 10 → (1)
3c + 2d = 16 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate d
- 6c - 4d = - 32 → (3)
Add (1) and (3) term by term to eliminate d
- c + 0 = - 22
- c = - 22 ( multiply both sides by - 1 )
c = 22
Substitute c = 22 into either of the 2 equations and solve for d
Substituting into (2)
3(22) + 2d = 16
66 + 2d = 16 ( subtract 66 from both sides )
2d = - 50 ( divide both sides by 2 )
d = - 25
solution is c = 22, d = - 25
You can work a total of no more than 35 hours each week at your two jobs. Housecleaning pays $7 per hour and your sales job pays $9 per hour. You need to earn at least $314 each week to pay your bills. Write a system of inequalities that shows the various numbers of hours you can work at each job.
Answer:
Look Below
Step-by-step explanation:
7x+9x=314 I think that is what you are looking for I am not sure. Please do not be mad if wrong.
The system of equation of inequalities in various numbers of hours are
h+s≤35
7h + 9s >_314.
To write a system of inequalities.
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
Given that:
The system of equation of inequalities are
h+s≤35
7h + 9s >_314
Therefore , the system of equation of inequalities in various numbers of hours are
h+s≤35
7h + 9s >_314.
Learn more about inequality here:
https://brainly.com/question/21612724
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Find the length of the third side. If necessary, write in simplest radical form. 1 2
Answer:
√3
Step-by-step explanation:
Using the pythagorean theorem, we know that a^2 + b^2 = c^2
In this case, c = 2, which means that a^2 + b^2 = 4
Since we know that a = 1, this means that a^2 is also 1. So, we know that b^2 = 4 - 1
Therefore, b^2 = 3
So, the answer is square root 3
Plz mark as brainliest :D!
Pedro placed an order with an online nursery for
6 apple trees and 5 azaleas and the order came to
$147. The next order for 3 apple trees and 4 azaleas
came to $96. What was the unit cost for each
apple tree and for each azalea?
Hope this helps! I really need points to ask a question , so I'm just answering people who need help
prove that the polynomials are nonnegative a^2-2ab+b^2+c^2
Answer:
a2 + b2 + c2 - ab - bc - ca
= (1/2)(2a2 + 2b2 + 2c2 - 2ab - 2bc - 2ca)
= (1/2)(a2 - 2ab + b2 + b2 - 2bc + c2 + c2 - 2ca + a2)
= (1/2)[(a-b)2 + (b-c)2 + (c-a)2]
Now we know that, the square of a number is always greater than or equal to zero.
Hence, (1/2)[(a-b)2 + (b-c)2 + (c-a)2] ≥ 0 => it is always non-negative.
Frankie started cleaning her house at 1:30 p.M and finished cleaning at 6;30 p.M how long did Frankie clean
Answer:
5 hours
Step-by-step explanation:
Start time = 1:30 p.m
Finishing time = 6:30 p.m
Time taken :
Finishing time - start time
6:30 p.m - 1.30 p.m
= 5 hours
HELP PLEASE ASAP
Given the discriminant of –2 for a quadratic equation, determine the number of real solutions.
Answer:
0 or simply no real solutions
Step-by-step explanation:
Given the discriminant which is negative, then the equation has no solutions in the set of real numbers. The roots or solutions belong to the set of complex solutions or imagenary roots.
An article marked at ₹50 is sold for ₹45. What is the
rate of discount?
Answer:
Your answer is
Rate of discount = 10%
Want more answer then follow me, like and MARK MY ANSWER AS BRAINLIST ANSWER.
I need that urgently.
The point (-7,3) is on the line given by which of the equations below?
A. y = 3x
B. y= 7x
C. y= x + 10
D. y= x-10
what equation?
C = -y - a/b
Solve the variable a
Can you please show each step
You are schools you are a school supply shopping in together as a package of six pink pencils for 250 how much does each pencil cost
Answer:
41.67 dollars
Step-by-step explanation:
because 250/6= 41.6666666667
that rounded is 41.67 dollars
What is the y-intercept of the line in the picture
Answer:
-2
Step-by-step explanation:
2/5 of 146 as a decimals
Locate the opposite of the number 1 5/8 on this number line. Draw a dart on correct position of the number line
Answer:
-1 5/8
Step-by-step explanation:
Opposite of 1 5/8 is -1 5/8
Khushali selects three different numbers from the set
{−7, −5, −3, −1, 0, 2, 4, 6, 8}. She then finds the product of the three chosen
numbers. What is the largest product that Khushali can make?
Answer:
The sample space for given condition is
(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)
(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)
(1,6),(2,6),(3,6),(4,6),(5,6)
(1,5),(2,5),(3,5),(4,5)
(1,4),(2,4),(3,4)
(1,3),(2,3)
(1,2)
Number of sample space is 28.
Number of sample space where the sum of two numbers is more than 13 is 2((6,8),(7,8)). Therefore the probability is
28
2
=
14
1
Step-by-step explanation:
please thank to all my answer and please mark as brilliant
write the fraction in ascending order.
1) 2 , 5 , 1 , 3
----- ----- ----- ----
3 6 2 4
2) 4 , 5 , 3 , 1
---- ----- --- ---
5 8 4 2
QUESTION 1 :
find the LCM of 3,6,2,4
LCM = 12
THEREFORE,
2/3*4/4 = 8/12
5/6*2/2 = 10/12
1/2*6/6 = 6/12
3/4*3/3 = 9/12
8/12 , 10/12 , 6/12 , 9/12
Ascending order of ( 8/12 , 10/12 , 6/12 , 9/12)
= 6/12 , 8/12 , 9/12 , 10/12
So, 6/12 = 1/2
8/12 = 2/3
9/12 = 3/4
10/12 = 5/6
THEREFORE
Ascending order = 1/2 , 2/3 , 3/4 , 5/6
f(n) = 2• (-3)^n
complete the recursive formula of f(n).
f(1) = ____
f(n) = f(n - 1) • ____
Answer:
[tex]f(1)=-6[/tex]
[tex]f(n)=f(n-1)(-3)[/tex]
Step-by-step explanation:
We are given that
[tex]f(n)=2\cdot (-3)^n[/tex]
We have to complete the recursive formula of f(n).
Substitute n=1
[tex]f(1)=2\cdot (-3)[/tex]
[tex]f(1)=-6[/tex]
[tex]f(2)=2\cdot (-3)^2=18[/tex]
[tex]f(3)=2\cdot (-3)^3=-54[/tex]
[tex]\frac{f(2)}{f(1)}=\frac{18}{-6}=-3[/tex]
[tex]\frac{f(3)}{f(2)}=\frac{-54}{18}=-3[/tex]
It forms geometric sequence because the ratio of two consecutive terms are equal.
Therefore, the recursive formula
[tex]f(n)=f(n-1)r[/tex]
[tex]f(n)=f(n-1)(-3)[/tex]
Answer:
f(1) = -6
f(n)= f(n−1)⋅ -3
Step-by-step explanation:
use the distributive property to rewrite the algebraic expression below
4 (x + 2)
The ratio of small dogs to large dogs at a show is 4:3. If there are a total of 56 dogs in the show, how many are large dogs?
10÷2-3+1=3 where do the parentheses go?
Answer:
The parantheses go around the (10 / 2)
Step-by-step explanation:
The expression would be:
(10 / 2) - 3 + 1 = 3
And when you solve it,
It would simplify to:
5 - 3 + 1
go from left to right and you get 3
The slash means division, I don't know how to type a division sign on brainly lol
helpppppppppppppppppppppppppppppppp plzzzzzzzzzzzzzzzzzzzz
8(1 + 7x) - x = -40 + 7x
PLZZZ HELP!!!
Answer:
use photomath ok my guy and good job
I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points I will report your if you do that :) have a nice day and stay safe
Answer:
Please do not report me if this is wrong but my friend beside me is giving me the answer and she said its 60
Step-by-step explanation:
Given the histogram, use the drop-down menus to identify the elements.
Zero frequency: (300-350) (351-400) (401-450
A peak: (650-700) (601-650) (451-500)
the ones in parenthisis r the answer choices
Answer:
Zero frequency:
✔ 351–400
A peak:
✔ 651–700
Step-by-step explanation:
Answer:
zero frequency
351-400
A peak
651-700
Step-by-step explanation:
write a polynomial function with zeros -3,5,8
Answer:
x^3-10x^2+x+120
Step-by-step explanation:
Assuming you mean roots -3, 5, 8
These happen when we have (x+3)(x-5)(x-8)=0
Expand this
(x^2-2x-15)(x-8)=0
=x^3-2x^2-15x-8x^2+16x+120
=x^3-10x^2+x+120