In quadrilateral ABCD, AD is congruent to BC, and AD is parallel to BC.
Prove that ABCD is a parallelogram.
Answers
The proof for ABCD is a parallelogram is shown below.
What is parallelogram?The opposing sides are equally spaced and parallel.Angles on either side are equal.The following or neighbouring angles are supplemental.All of the angles will be at right angles if any one of them is a right angle.The two diagonals cut across one another.Given:
AD is congruent to BC,
and AD is parallel to BC.
So, if the quadrilateral have opposite sides congruent and parallel.
Such Quadrilateral are parallelogram.
Hence, the given quadrilateral is a parallelogram.
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Related Questions
represent the following situations using quadratic equation in standard form
1. If the square of a number is added to 8 times the number, the result is 100
2. Mr. Apoloan wants to lay out a rectangular playground with an area of 30 square feet. The desired length will be 7 times the width
Answers
1. If the square of a number is added to 8 times the number, the result is 100.
Let x be the number.
Equation: x² + 8x - 100 = 0
2. Mr. Apoloan wants to lay out a rectangular playground which will contain 30 square feet. The desired length will be 7 times the width.
Area: 30ft²
Length: 7w
Width: w
Area of a rectangle: LW
(7w)w = 30ft²
Equation: 7w² - 30 = 0
What is the GCF of 10890 and 15400?
Answers
Answer:
The Greates Common Factor (GCF) is: 2 x 5 x 11 = 110
10890: 2 335 111115400: 222 55711 GCF: 2 5 11
110 is the GCF of 10890 and 15400.
What are Factors?A number or algebraic expression that divides another number or expression evenly i.e., with no remainder.
GCF or Greatest Common factors is the set of numbers is the largest factor that all the numbers share.
Factors of 10890 = 1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,121,165....
Factors of 15400 = 1,2,4,5,7,8,10,11,14,20,22,25,28,35,40,44,50,55,56,70,77,88,100,110,140,154,175....
By observing the factors of both numbers 10890 and 15400.
110 is the greatest common factor of 10890 and 15400.
Therefore 110 is the GCF of 10890 and 15400.
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Evaluate the expression when g= 14 and h=63.
h
9+
Х
5
?
Answers
Answer:
[tex]23[/tex]
Step-by-step explanation:
[tex]g+\frac{h}{7}[/tex]
[tex]g=14[/tex][tex]h=63[/tex][tex]14+\frac{63}{7}[/tex]First, divide 36 by 7:
[tex]\frac{63}{7}=9[/tex]Add 14 and 9:
[tex]14+9=23[/tex]________________________
What is the equation of the line that passes through the points (0, 5) and (0, 10)?
Answers
Answer:
x = 0Step-by-step explanation:
The both points lie on the y-axis as both have same x- coordinate, zero.
The line overlaps with y- axis and its equation is:
x = 0Let Q be in the interior of angle POR . Use the Angle Addition Postulate to solve for x. Find the measure of each angle.
angle POQ=(1/3x + 1/3)°
angle QOR=(2x+ 4/3)°
angle POR=(5x-1)°
Answers
Answer:
X=1
POQ= 1/3x+1/3= 1/3(1)+1/3=2/3
QOR= 2x +4/3= 2(1)+4/3= 10/3
POR= 5x-1= 5(1)-1= 4
Step-by-step explanation:
Which linear inequality represents the solution set graphed?
A) y ≥ 4x + 5
B) y > 4x - 5
C) y ≥ 4x - 5
D) y > -4x - 5
Answers
Answer:
C
Step-by-step explanation:
first of all since the line is solid then we know that the answer is not D or B.
so it has to be either A or C.
now to graph it let's start with A.
you would go up 5 on the y axis and since there isn't enough space go down 4 and to the left 1. the line doesn't match with the one in the picture so A is not the answer.
now let's try with C.
you would go down 5 on the y axis and then go up 4 and to the right 1. the line matches up so C is your answer.
 please help me quickly
no random links i will report :)
Answers
Answer:
B
Step-by-step explanation:
A bee colony produced 0.5 pounds of honey, but bears ate 0.2 pounds of it. How much honey
remains?
Answers
Answer:
0.3 pounds
Step-by-step explanation:
[tex]0.5 - 0.2 = 0.3[/tex]
he table shows ordered pairs of the function y= 8-2x What is the value of y when x=8 ?
A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 1, 1, 4, 8, 10. The second column is labeled y with entries 14, 10, 6, 0, question mark, negative 12.
–20
–8
8
Answers
Step-by-step explanation:
Reorder
8
and
−
2
x
.
y
=
−
2
x
+
8
sorry if wrong
5. Use the word bank to complete the sentences below. Write the matching letter next to the correct word that makes that statement true. (5 points)
Answers
Answer:
A- x-intercept
B- y-intercept
C- x-coordinate
D- y-coordinate
E- solution
Step-by-step explanation:
Alex and 3 of his friends are playing in a class math competition. Each player can score up to 10 points per round. Choose the equation or inequality to represent the number of points Alex’s team scores in one round.
A. p = 40
B. p = 30
C. p ≤ 40
D. p ≤ 30
E. p ≥ 40
F. p ≥ 30
Answers
A.p:40 his friends alex
Answer:
the answer is p<40
Step-by-step explanation:
(: ur welcome
What’s the answer .................
Answers
Answer:
309 meters
Step-by-step explanation:
The scale is 3mm : 2m so you can set up two fractions and solve for x.
[tex]\frac{3mm}{2m} =\frac{x}{206m}[/tex]
since every two meters is 3 mm in the drawing, divide 206 by 2 and get 103
now, multiply 103 by 3 to get 309
309 mm in the drawing
hope this helps :)
what other information is needed to prove the two triangles congruent by sas?
Answers
Answer:
We know that one pair of sides and one pair of angles are congruent from the diagram. In order to know that the triangles are congruent by SAS we need to know that the pair of sides on the other side of the angle are congruent.
Step-by-step explanation:
HOPE IT HELPS :)
Could someone plss help witht this question.. due at 12
It's 11:21 CT time for me
And could you show steps please
Thanks in advance
Answers
Answer:
x = 12.2; angles are 77.6 and 102.4 total to 180
Step-by-step explanation:
The equations they are giving you for the two angles he was correct about. When a line intersects two parallel lines, the angles on the opposite sides of the transverse line will equal 180 degrees.
So those two equations when added together must equal 180 degrees.
(5x + 16.6) + (9x - 7.4) = 180
Rearrange the equation
5x + 9x + 16.6 - 7.4 = 180
Add the x values together and subtract the regular numbers
14x + 9.2 = 180
Subtract 9.2 from both sides
14x = 170.8
Divide both sides by 14
x=12.2
The top angle in your drawing is 5x + 16.6 or
5 ( 12.2) + 16.6 = 77.6 degrees
The bottom angle in your drawing is 9x - 7.4 or
9 ( 12.2) - 7.4 = 102.4
Both angles added together is 77.6 + 102.4 = 180
Answer:
×=25 ; angle = 107 degree
Step-by-step explanation:
if a transversal line intersect two parallel lines then the sum of two consecutive exterior angles is 180 degrees.
The two consecutive exterior angles are 3x+32 and x+48.
3x+32+x+48=1803x+32+x+48=180
4x+80=1804x+80=180
4x=180-804x=180−80
4x=1004x=100
x=25x=25
The value of x is 25.
The measure of two consecutive exterior angles are
3x+32=3(25)+32=1073x+32=3(25)+32=107
x+48=25+48=73x+48=25+48=73
The measure of the larger angle is 107 degrees.
I need help on this one, please!
Answers
Answer:
Option B,14.6 cm and D,20.3 cm
Step-by-step explanation:
Let a and b represent the lengths of the two known sides such that a≥b. Let c represent the length of the unknown side, the length of c must fall within
a−b<c<a+b
11.9-9.1<c<11.9+9.1
2.8<21
By elimination,
Option B and D remain, i.e 14.6 cm & 20.3 cm
What is the missing value?
Answers
Answer:
I guess 5⁴ is Missing value
Find the slope of the line represented by each table of values
Answers
Answer:
-5 is the slope
Step-by-step explanation:
Here is the formula
y2-y1
____
x2-x1
ind all natural numbers n such that 1+3+5+7+...+(2n-1) sum is divisible by 4
Answers
Answer:
All even natural numbersStep-by-step explanation:
This is an AP with:
The first term = 1Number of terms = nCommon difference = 2Find the sum of the first n terms:
[tex]S_n= n(1+2n-1)/2=n^2[/tex]The sum is divisible by 4 if n is even number:
n = 2k ⇒ n² = 4k² ≡ 0 mod 4if f(x)=2x^2+12 , what is f(3)
Answers
Answer:
f(3) = 30
Step-by-step explanation:
f(3) = 2(3)^2 + 12 = 30
I NEED HELP PLZ?!??!?
Answers
Answer:
4/15 or 20/75 or 0.733
Step-by-step explanation:
Total number of outcomes: 75
Number of outcomes in event we are looking for: 20
20/75 = 0.733 / 20/75 / 4/15
Which ordered pair is in the solution set of 2x+y≤−4? Question 6 options: (−2, 2) (2, 2) (−2, −2) (2, −2)
Answers
Answer:
-2,-2
Step-by-step explanation:
if you plug the numbers in you get:
(2*-2)+-2≤−4
so that's -4+-2≤−4
which equals -6≤−4
and as always, the bigger the negative number, the less value it has
Solve each absolute value equation
-4[x] + 10 = 50
Answers
[tex]\large\boxed{\mathsf{-4[x] + 10 = 50}}\\\large\boxed{\rightarrow\mathsf{-4x + 10 = 50}}\\\\\large\text{SUBTRACT 10 to BOTH SIDES}\\\large\boxed{\mathsf{-4x + 10 - 10 = 50 - 10}}\\\large\text{CANCEL out: 10 - 10 because that gives you 0}\\\large\text{KEEP: 50 - 10 because it helps solve for the x-value}\\\\\large\boxed{\mathsf{50 - 10 = \bf 40}}\\\large\boxed{\mathsf{-4x = 40}}\\\\\large\text{DIVIDE -4 to BOTH SIDES}\\\large\boxed{\mathsf{\dfrac{-4x}{4}=\dfrac{40}{-4}}}[/tex]
[tex]\large\text{CANCEL out: }\rm{\dfrac{-4}{-4}}\large\text{ because that gives you 1}\\\large\text{KEEP: }\rm{\dfrac{40}{-4}}\large\text{ because it gives you the x-value answer}\\\\\large\boxed{\mathsf{x = \dfrac{40}{-4}}}\\\\\large\text{SIMPLIFY IT AND YOU HAVE THE RESULT OF THE X! }\\\\\huge\boxed{\text{Therefore, your answer is: \textsf{x = -10}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\frak{Amphitrite1040:)}[/tex]
Step-by-step explanation:
[tex] \bf \underline{Given-} \\ [/tex]
[tex] \sf{ - 4(x) + 10 = 50} \\ [/tex]
[tex] \bf \underline{To \: find-} \\ [/tex]
[tex] \sf{ \:the \: value \: of \: x = \: ? } \\ [/tex]
[tex] \bf \underline{Solution-} \\ [/tex]
[tex]\textsf{Given equation,}\\[/tex]
[tex] \sf{ - 4(x) + 10 = 50} \\ [/tex]
Now, multiply -4 from (x) to get -4x.[tex] \sf{ \Rightarrow \: - 4x + 10 = 50 } \\ [/tex]
Now, +10 will move to RHS then it's sign will be charged -10[tex] \sf{ \Rightarrow \: - 4x = 50 - 10} \\ [/tex]
Subtract 50 from -10 to get 40. Because 50 is greater than -10.[tex] \sf{ \Rightarrow \: - 4x = 40 } \\ [/tex]
[tex] \sf{ \Rightarrow \: x = \cancel\frac{ - {40}^{- 10 }}{4}} \\ [/tex]
[tex] { \: \therefore \: \underline{ \boxed{{ \sf{x = - 10.}}}}}[/tex]
The average in-state tuition in Florida for the 2018- 18 2019 school year was about $13,700. If the tuition is expected to increase by 15%, what is the expected tuition for the 2019-2020 school year?
Answers
Find the y-intercept of the line on the graph.
Answers
Answer:
The y-intercept is 0
Step-by-step explanation:
The line crosses the y-axis at the center, 0. Therefore the y-intercept is 0.
Answer: -1
Step-by-step explanation:
CAN SOMEONE PLEASE HELP WITH QUESTIONS 3 THROUGH 11?? YOU DON’T EVEN HAVE TO DO ALL OF THEM JUST THE ONES U FEEL LIKE DOING (ILL MARK AS BRAINLIEST!!)
Answers
Answer:
3. 3/2
4. -1/3
5. -3.5
6. -6and 2/3
7. -18and 13/24
8. 1/18
9.-2.6
10.-1.83
11. 14.963
Step-by-step explanation:
HOPE THIS HELPS, if not see me in the comments
BRANILIEST PLZZZ
2. Frank has been driving at a constant speed for 3 hours, during which time he traveled 195 miles. Frank would like to know how long it will take him to complete the remaining 455 miles, assuming he maintains the same constant speed. Help Frank determine how long the remainder of the trip will take.The remainder of Frank's trip is _______ hours.
Answers
Answer:
1: 195 divide by 3=65m/h
2: 455divide by 65=7hours
The remainder of Frank's trip is __7_____ hours.
What is the slope of the line that goes through the points (9.4) and (3,6)?
(m= ..?)
Answers
(Y2-y1)/ (x2-x1)
= (6-4)/(3-9)
= 2/-6
= -1/3
Which means that for every increase in x, y decreases by 1/3.
A serving of rice is 3/4 of a cup. How many servings are there in a 3 3/4-cup bag of rice?
Answers
Answer:
16 I think
Step-by-step explanation:
Is this list of numbers an arithmetic sequence?
18,16,14,12,10,…
Answers
Answer:
YesStep-by-step explanation:sequence of numbers such that the difference between the consecutive terms is constant.
the constant is 2 (Ex. 18-2=16-2=14....) and your answer is
yes
Plot the point (11, 7) on the coordinate plane.
Answers
Answer:
Step-by-step explanation:
When you're asked to plot a point on a coordinate plane just remember that the coordinate given is of the form [tex](x,y)[/tex].
So, first, we need to plot 11 on the [tex]x[/tex]-axis (the line going left to right, horizontal) then plot 7 on the [tex]y[/tex]-axis (the vertical line)
So we first go 11 units to the right along the [tex]x[/tex]-axis then go up 7 units along the [tex]y[/tex]-axis.
Hope this helped.
Plot a point on a coordinate plane just remember that the coordinate given is of the form . Follow this simple steps and the image given below.
Identity the variable range .Determine the scale of the graph.Number and label each axis and title of the graph.Show the positive and negative x-axis and y-axisFirst , find the value of x on the x-axis . give x = 11 .Find the value of y on the y-axis . given y = 7.Mark the point x=11 in the positive x - axisMark the point y=7 in the positive y - axis,.After this meet the points by the help of scale and write the co-ordinates.For more details about graph plot click the link given below.
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