Answers
Answer:
parallelogram
Step-by-step explanation:
sr/pq=sp/rq
ab/dc=ad/bc
Answer:
Proven.
Step-by-step explanation:
So, fasten your seatbelts, we're about to go on a long ride(◠‿・)—☆
» In a parallelogram, opposite sides are equal in length.
This can be represented (in the vector way) by
'QR = '-SP = 'PS and 'RS = 'QS (let “'” represent a vector)
'QR + 'SP= 0 and 'RS-'QS = 0
Note the signs. The signs are determined by the arrows in the diagram. [A reminder: If you walk from a point A to a point B, your displacement vector is 'AB. If you walk back, that is, from B to A; your displacement vector is 'BA which is also equal to '-AB.]
This means: to prove that PQRS is a parallelogram, we must prove that
'QR + 'SP= 0 and/or 'RS-'QS = 0.
In this solution, we will only work on the first equation.
Permit me to remove this ' sign.
QR = QC+CR ...1
QR= QB+BA+AD+DR...2
ADD 1 TO 2
2QR= QC+CR+QB+BA+AD+DR
[LOOK CLOSELY, QC+QB=0 ; CR+DR=0. This is because BQ+QC = BC
BUT, BQ=QC= (BC)/2
QC-BQ= 0
AND, -BQ= QB
QC+QB= 0 ;)]
2QR= BA+AD...3
★
SP = SA+AP...4
SP= SD+DC+CB+BP...5
ADD 4 TO 5
2SP = SA+AP+SD+DC+CB+BP
[AGAIN, SA+ SD = 0 ; AP+ BP = 0]
2SP= DC+CB...6
3+6
2QR+2SP= BA+AD+DC+CB
[ BA+AD+DC+CB, IN A SIMPLE WAY, MEANS:
you start from B, and move to A (BA); from A to D (AD); from D to C (DC); and from C to B (CB). Therefore, you have gone from B to B (from your starting point and back). Hence, your total DISPLACEMENT is zero (you haven't changed your position).
2(QR+SP) = 0
'QR+'SP= 0
PROVEN
You can work out the other equation, but it is evident that PQRS is a parallelogram.
Related Questions
Find the value of (110) base two leaving your answer in base two
Answers
[tex](110)_{2} = (1 \times 2^2 + 1 \times 2^1 + 0 \times 2^ 0)_{10}\\\\~~~~~~~~~~=(4+2+0)_{10}\\\\~~~~~~~~~~=(6)_{10}[/tex]
WILL GIVE BRAINLEST! Pls answer fast :)
An oil company uses cylindrical storage tanks. Each tank has a radius of 14 ft and is 27 ft tall.
What is the volume of a tank?
Answers
Answer:
C. 5,292[tex]\pi[/tex]ft²
Step-by-step explanation:
V=[tex]\pi r^2h[/tex]
V=[tex]\pi *14^2 *27[/tex]
[tex]14^2*27= 5,292[/tex]
Answer is C. 5,292[tex]\pi[/tex]ft²
Hope this helps! Have a good day! :)
Answer:
c
Step-by-step explanation:
hope this helps have a nice day:)
In which number does the digit 2 have a value that is ten times as great as the value of the digit 2 in the number 135,284?
29,831
42,938
298,893
326,894
HELP PLEASE!!!!!!!!
Answers
Answer:
42,938
Step-by-step explanation:
42 938
- the digit 2 in 135,284 is in the hundreds and the digit 2 in 42938 is the thousands digit.
Answer:
Step-by-step explanation:
The value of the 2 in 135,284 is 200 or in the hundreds column
The value of the 2 in 42,938 is 2000
The value of the 2 in the bottomnumber is 10 times larger than the value of the 2 in the first number..
What is the range for y=-3x^2-12x-17?
PLEASE ANSWER I WILL GIVE OUT FREE MORE POINT AND MARK BRAINIST ONLY IF YOU GOT IT RIGHT THO I WILL CHECK ! PLEASE AND THANK YOU :))))
Answers
Answer:
RANGE: y greater than or equal to -5 (b)
Graph the function
Attached
Vertex at (-2,-5)Then
y=-(3x²+12x+17)y=-(9x²+36x+51)y=-[(3x)²+2(3x)(6)+51-25+25]y=-[(3x)²+2(3x)(6)+36+25]y=-[(3x+6)²+25]y=-[(3x+6)²+5²]We know
a²+b²=(a-b)²+2abVertex form of parabola
a(x-h)²+kvertex:-
(h,k)=(-2,-5)Range:-
y≤-5There are 57 people touring the mooresville zoo. The wagons at the zoo can only carry 7 people. How many wagons will this group need for their tour?
Answers
Since you can’t have 0.1 of a wagon, you would need to have 9 wagons to fit everyone.
Answer: 9 wagons
Mark as BRAINLIEST:)
The graph of a function h is shown below.
Find h(-4).
Answers
Answer:
(-4, 1)
Step-by-step explanation:
all you have to do is see where x is -4 and where the parabola crosses when x is -4
In a jar of 250 jelly beans, a random sample of 25 is pulled. In the random sample, 15 of the jelly beans are red. How many jelly beans are likely to be red in the entire jar?
Answers
You can multiply both numbers by ten
15/25=x/250
25x10=250
15x10=150
Graded Assignment
Unit Test, Part 2: Two-Dimensional Geometry
Answer the questions below. When you have finished, submit this assignment to your teacher by the due date for
full credit.
Total score:
of 15 points
(Score for Question 1:,
of 5 points)
1.
The iS diagram shown is two intersecting lines. The measure of 25 is 47°.
(a) What is the measure of 27 ? How do you know. Explain you answer in complete sentences.
(b) Suppose the measure of 26 can be represented by (2x-5)). What equation can be written to solve
for the value of x?
(c) What is the value of x?
Answer:
Answers
By using what we know about intersecting lines, we will see that:
a) ∡7 = 47°b) 47° + (2x - 5)° = 180°c) x = 69How to get the measures of the angles for two intersecting lines?When two lines intersect, 4 angles are formed. There are two properties that these angles have.
If the angles are adjacent, then their measures add up to 180°If the angles are not adjacent, these angles have the same measure.a) We know that ∡5 = 47°
And 7 is not adjacent to 5, then 7 has the same measure:
∡7 = 47°
b) 6 and 5 are adjacent, then we must have that:
∡5 + ∡6 = 180°
47° + (2x - 5)° = 180°
That is the equation we need to solve to get the value of x.
c) To solve the linear equation we need to isolate x, let's do that:
47° + (2x - 5)° = 180°
(2x - 5)° = 180° - 47° = 133°
2x - 5 = 133
2x = 133 + 5 = 138
x = 138/2 = 69.
If you want to learn more about linear equations, you can read:
https://brainly.com/question/1884491
Answer:
a) <5 and <7 have congruent angles. That means that both angles are equal, they have the same measure. This means that the measure of <7 is 47°.
<7 = 47°
b) 5 and 6 are adjacent, so this is the equation that we have to do to solve for the value of x.
<5 + <6 = 180°
47° + (2x - 5)° = 180°
c) To solve the linear equation we need to isolate x.
47° + (2x - 5)° = 180°
(2x - 5)° = 180° - 47° = 133°
2x - 5 = 133
2x = 133 + 5 = 138
x = 138/2 = 69
Help will give thanks to the first to answer
Answers
Answer:
x-4
Step-by-step explanation:
because a number could be x and all you have to do is subtract 4 from a number making it x-4
Answer:
4-x
Step-by-step explanation:
Because it says that x is subtracted from 4 which would make it understood that 4 is the first term and then x.
Graph the function f(x) = x3 – 4x – 1. Which are approximate solutions for x when f(x) = 0? Select three options.
–2.11
–1.86
–0.25
0.25
2.11
Answers
The given function is:
f(x)=x^3-4x-1
What is the solution to an equation?
The solution to an equation is the point where the function value becomes zero.
As we know when f(a).f(b) <0, the root lies in between a and b.
f(-1) = 2
f(0) = -1
f(-1).f(0) = -2
So a solution will lie in between (-1,0).
Similarly,
f(-3) = -ve
f(-2)= -ve
No solution in between -3 and -2
f(-2) = -ve
f(-1) = +ve
One solution in between -2 and -1 i.e. -1.86
f(0) = -ve
f(1) = -ve
No solution in between 0 and 1
f(1) = -ve
f(2) = -ve
No solution in between 1 and 2.
f(2) = -ve
f(3) = +ve
One solution in between 2 and 3 i.e. 2.11
Therefore, the approximate solutions for x are -0.25, -1.86, and 2.11.
The roots of the polynomial will be -1.86, -0.25, and 2.11. Then the correct options are B, C, and E.
What is the solution of the polynomial?Let a, b, c, and d be the zeroes of the polynomial and k be the leading coefficient.
Then the polynomial is given as,
⇒ k(x - a)(x - b)(x - c)(x - d)
The degree of the polynomial will be greater than or equal to the number of zeroes.
The zeroes of the polynomial are the intersection points of the curve with the x-axis.
The graph of the polynomial is drawn below.
From the graph, the roots of the polynomial will be -1.86, -0.25, and 2.11. Then the correct options are B, C, and E.
More about the polynomial link is given below.
https://brainly.com/question/11536910
#SPJ7
120 students are surveyed and 15% of them are interrested in a career in information technology what is the total number of students interrested in this career
Answers
Answer:
18
Step-by-step explanation:
15% of 120 is 18
{(x, y): y= 3x + 2| and xe (-2, -1, 0, 1, 2)).
(-2,__)
12
3
0
Answers
It looks like you're given a set
{(x, y) : y = 3x + 2}
i.e. the set of points (x, y) = (x, 3x + 2), and you're told that x is taken from the set {-2, -1, 0, 1, 2}.
When x = -2, the corresponding value of y is
y = 3•(-2) + 2 = -6 + 2 = -4
Evaluate: (5x)3 when x = 2
0 1,000
O 40
O 30
O 250
Answers
Answer:
c so the anwer is 30 ...............
Answer:
A) 1000
Step-by-step explanation:
(5x)³
Substitute value.
(5 * 2)³
Multiply inside parenthesis.
(10)³
Evaluate.
1000
A zoo randomly sampled four groups of 100 people on what their favorite type of bear is. This data shows the results of the four samples.
Answers
Answer:
The Answer is 1555
Step-by-step explanation:
I took the test
Which point is not on the graph of the function y = x - 1?
(9, 8)
(8, 7)
(5, 6)
(4, 3)
Answers
Answer:
C. (5,6)
Step-by-step explanation:
Hope this helps. please give brainliest
what is inbetween 120 and 140
Answers
Answer:
130
Step-by-step explanation:
In the middle is (120 + 140)/2 = 130 (this is the average of these two numbers)
121 122 123 124.....138, 139 are all 'in between'
Answer:
130
Step-by-step explanation:
It's kinda like half, for example, 1 through 10, and there would a five in the middle, it's like halfway done with something.What is 50 of 110? my work is due tommro
Answers
Answer:
55
Step-by-step explanation:
♡♡♡♡
Hi pls help me guys help me this is my last chance pls guys help Use the data in the table to estimate the likelihood that a person has each eye
color. Which statement is not true?
Answers
Answer:
C. The likelihood of having brown eyes is 35%
Step-by-step explanation:
Add the total number of people, which gives you 50.
To find the percent of brown-eyed people out of 50, divide 35 by 50, then multiply the result (0.7) by 100 to get 70%.
70% of people are brown-eyed, thus, C is a false statement.
Answer:
the answer is C
Step-by-step explanation:
the brown eyes would be 70 percent actually
The figure is the net for a rectangular prism.
What is the surface area of the rectangular prism represented by the net?
Answers
Answer:
The answer that I got is 320
Step-by-step explanation:
multiply 16 and 6 then 16 and 8 then 8 and 6 and then 8 and 6 again then add them all up to get 320
What is the value of a if 3(a − 5) = 2(a +5)?
Answers
Answer:
a= 25
Step-by-step explanation:
STEPS FOR SOLVING LINEAR EQUATION
3(a−5)=2(a+5)
Use the distributive property to multiply 3 by a−5.
3a−15=2(a+5)
Use the distributive property to multiply 2 by a+5.
3a−15=2a+10
Subtract 2a from both sides.
3a−15−2a=10
Combine 3a and −2a to get a.
a−15=10
Add 15 to both sides.
a=10+15
Add 10 and 15 to get 25.
a=25
(I searched it and I checked it)
The scatter plot shows the average monthly temperature, x, and a family's monthly heating cost, y, for 23 different months.
(a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit.
(b) Using your equation from part (a), predict the monthly heating cost for a month with an average temperature of 35 °F.
Note that you can use the graphing tools to help you approximate the line.
Answers
1. The equation of the line of best fit is: y = -1.15x + 102.8
2. Using the equation of the line of best fit, the predicted cost is: $62.55
What is the Equation of a Line of Best Fit?The equation of a line of best fit is represented by the equation, y = mx + b, where m is the slope and b is the initial value.
1. Using two points, (72, 20) and (20, 80):
Slope (m) = change in y / change in x = (80 - 20)/(20 - 72) = 60/-52
Slope (m) = -1.15.
Substitute m = -3 and (a, b) = (72, 20) into y - b = m(x - a)
y - 20 = -1.15(x - 72)
y - 20 = -1.15x + 82.8
y = -1.15x + 82.8 + 20
y = -1.15x + 102.8
The equation of the best line of fit is y = -1.15x + 102.8.
2. Monthly heating cost, y, for a month with an average temperature of 35°F (x) will be calculated by substituting x = 35 into y = -1.15x + 102.8.
y = -1.15(35) + 102.8
y = 62.55
The predicted monthly cost is $62.55.
Learn more about the line of best fit on:
https://brainly.com/question/17261411
Shade one more square so that this pattern has rotational symmetry of order 2.giving magnificent amount of points
Answers
Step-by-step explanation:
second colum third row ....
List the names of all the angles in the figure below. Be sure to use the appropiate angle symbol when naming the angles.
Answers
Answer:
right angle,supplementary angle,reflex angle e.t.c
NO LINKS WHATSOEVER!!! SPAMMERS WILL BE IMMEDIATELY REPORTED!!! NO BOTS!!! NO COPYING OFF WEBSITES!!! USE YOUR OWN BRAIN!!! A gardener plants a row of eight trees chosen from three maples, two oaks, and four birches. In how many ways can he plant the row?
Answers
Answer:
13 i got it right on khan
Step-by-step explanation:
Graph y=-3x+4 slope intercept
Answers
Answer:
Check the attachment.
Step-by-step explanation:
1) Create a table. Substitute the [tex]x[/tex] values into the this: [tex]y=-3x+4[/tex].
[tex]x[/tex]: 0, 1, 2
[tex]y[/tex]: 4, 1, -2
2) Plot the coordinates on the graph and draw a line from one point to the other. Make sure you extend the line, and add the equation beside the line drawn. Check the attachment for a better visual.
What is the explicit formula for this geometric sequence?
8, 4, 2, 1, …
Answers
Answer:
[tex]a_{n} = \frac{8}{2^{n-1} }[/tex]
Step-by-step explanation:
A geometric sequence has a constant ratio (r) and is defined by:
[tex]a_n=a_1r^{n-1}[/tex]
Since the first value is 8, [tex]a_{1}[/tex] = 8.
[tex]a_n=8r^{n-1}[/tex]
We can also see that a_n is double that of the next value in the sequence [tex](a_{n} = 2a_{n+1}})[/tex], hence r = 1/2
[tex]a_n=8\left(\frac{1}{2}\right)^{n-1}[/tex] or
[tex]a_{n} = \frac{8}{2^{n-1} }[/tex]
¿Qué número dividido entre 4 es igual a 60
Answers
Answer:
240
Step-by-step explanation:
60 = 1/4 of x
so: x = 60*4
x = 240
check:
240/4 = 60
60 = 60 true!!
Answer:
240÷4=60
Step-by-step explanation:
docientos cuarenta dividido entre cuatro es igual a sesenta.
-
In the monthly payment formula M =
for rif the interest rate is 6.3%?
Pr(1+r)"
(1+r)n-1'
what value would you put
A. 0.0063
B. 0.00525
C. 0.525
D. 6.3
Answers
The value that would be put for r is; 0.063
Interest ratesWe are given the monthly payment formula for present value as;
M = (Pr(1 + r)ⁿ)/(1 - r) - 1
Where;
P is Present Value
r is interest rate
n is number of times compounded
Now, we are told the interest rate is given as 6.3% and so we can write that; r = 6.3/100 = 0.063
Read more about interest rates at; https://brainly.com/question/1115815
How many significant figures are represented in 0.00509?
Answers
Answer:
there are three significant numbers
Answer:
three
Step-by-step explanation: 0.00509; the first three zeros are not significant since they come before a non-zero number, the final three digits are significant
Determine which solution is correct for solving
Answers
Answer:
3rd option
Step-by-step explanation:
[tex]\frac{5}{7}[/tex] y = 6
multiply both sides by [tex]\frac{7}{5}[/tex] , the reciprocal of [tex]\frac{5}{7}[/tex] )
[tex]\frac{7}{5}[/tex] ( [tex]\frac{5}{7}[/tex] y ) = [tex]\frac{7}{5}[/tex] (6) , that is
y = [tex]\frac{42}{5}[/tex]