Given: ABCD is a parallelogram.
Prove: ∠A ≅ ∠C and ∠B ≅ ∠D
Parallelogram A B C D is shown.
By the definition of a ▱, AD∥BC and AB∥DC.
Using, AD as a transversal, ∠A and ∠
are same-side interior angles, so they are
. Using side
as a transversal, ∠B and ∠C are same-side interior angles, so they are supplementary. Using AB as a transversal, ∠A and ∠B are same-side interior angles, so they are supplementary.
Therefore, ∠A is congruent to ∠C because they are supplements of the same angle. Similarly, ∠B is congruent to ∠
answers: d, supplementary, bc, d
Answers
Answer:
E2020
Step-by-step explanation:
Answer:
d, supplementary, bc, addition
Step-by-step explanation:
Related Questions
A square pyramid is made up of a base with a side length of 10 inches and faces that are triangles with a height of 12 inches. What is the surface area of the square pyramid?
The answer is: 340 square inches in other words: C
Answers
Answer:
3
340?Step-by-step explanation:
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Marcia has an abundant supply of 3 cent stamps and 8 cent stamps. She needs to mail a package which requires exactly $2.00 postage. How can she come p with exactly $2.00 using any combination of the 3 cent and 8 cent stamps?
There are 9 different solutions to this problem. Try to find them all and list them.
Answers
20) What fraction of the square is shaded if the line inside divides the square into two equal parts?
please help me fast please
Answers
Answer:
3/8 of the area is shaded
Step-by-step explanation:
this can be determined by deviding the total shape into parts and determining those parts
so we see the top right 1/4 of the shape has a square that is shaded, with the triangle only covering 1/2 of this shape becuase the hypotenuse ((diagnal edge of a right triangle)) devides the square in half
beings that 1/2 of the 1/4 square is shaded, we know that in reation to the whole shape that the small shaded area is equal to 1/8 ((1/2 ÷ 1/4 = 1/8))
same can be said for the bottum shape, with the bottum half of the whole shape half covered we can determine its total shaded area in relation to the shape ((1/2 ÷ 1/2 = 1/4))
the left top shape is completely unshaded so we wont need to calculate any shadded area into the equation
with the total shape covered by 1/4 + 1/8 we can find the least common denominator between the two fractions to get a simplifide answer for the total shaded area
1/4 = 2/8
2/8 + 1/8 = 3/8
this leaves 5/8 of the shape unshaded
3/8 fraction of the square is to be shaded.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
In the top right 1/4 of the shape has a square that is shaded, with the triangle only covering 1/2 of this shape because the hypotenuse divides the square in half.
1/2 of the 1/4 square is shaded, we know that in relation to the whole shape that the small shaded area is equal to 1/8.
same can be said for the bottom shape, with the bottom half of the whole shape half covered we can determine its total shaded area in relation to the shape.
1/4 = 2/8
2/8 + 1/8 = 3/8
Hence, 3/8 fraction of the square is to be shaded.
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prove that y=2x^2-6x+7 and y=x^2-2x+3 touch each other and find the point of contact
Answers
Answer:
See below ~
Step-by-step explanation:
We need to prove they are equal.
Equate the values to each other.
2x² - 6x + 7 = x² - 2x + 3x² - 4x + 4 = 0(x - 2)² = 0x = 2Now input the x-value in the 1st equation.
y = 2(2)² - 6(2) + 7y = 8 - 12 + 7y = -4 + 7y = 3Now input the same in the 2nd equation.
y = (2)² - 2(2) + 3y = 4 - 4 + 3y = 3Since the same x-value, on inputting in both equations, give the same y-value, it is proved they touch each other.
Point of Contact
(x, y)(2, 3)Answer number 8 and 9 please
Answers
Answer:
15%
Step-by-step explanation:
number 8 is 15% because you divide 42 by 280 the number of people to get the pecent you ha e which is 15%
How would you find the two triangles are similar?
Answers
Answer:
The answer should be A.
Step-by-step explanation:
Well, to determine how two triangles are similar you first look at the image of what they give you.
As you can see the images shows only degree angles.
Looking at your option to see degree angles.
In some options, there is a side length of a triangle, but we aren't given a side length on both triangles so that answer does that apply.
Our last option is between A and D.
D is false as we determine the triangles are similar to each other.
RCW and VCB are vertically opposite meaning their 25° are the same to each other.
We know that every triangle adds up to 180.
10. The sum of three numbers is 98. The ratio of the first to the second is 2/3, and the ratio of the second to the third is 5/8. The second number is: (a) 15, (b) 20, (c) 30, (d) 32, (e) 33
Answers
sum of three number= 98
to find:the second number.
solution:Let the three numbers be x, y and z
Sum of the numbers is 98.
x + y + z = 98………………(i)
The ratio of the first to the second is 2/3.
x/y = 2/3
x= 2/3 × y
x= 2y/3
The ratio of the second to the third is 5/8.
y/z= 5/8
z/y= 8/5
z= 8/5 × y
z= 8y/5
Put the value of x = 2y/3 and z = 8y/5 in (i).
2y/3 + y + 8y/5= 98
49y/15= 98
49y= 98 × 15
49y= 1470
y= 1470/49
y= 30
Therefore, the second number is 30.
answer= option c.
Korey is planning to open a comic book store. he has developed the following expense breakdown for set-up and operation for the first year. korey has $8,500 in savings and $25,000 in inheritance money to use to open his store. will korey have enough to run his business for a full year? expense amount rent $10,800 insurance $3,000 store fixtures $2,700 computer and cash register $1,200 inventory $17,400 a. yes, korey will have $1,600 to spare. b. no, korey will be short $1,600. c. yes, korey will have $15,800 to spare. d. no, korey will be short $15,800.
Answers
Answer:
C. 15800 to spare
Step-by-step explanation:
All you have to do is add up the total money he has to spend money, then you add up the total cost, and subtract the total money he has to spend by the total cost, and you're left with he has 15,800 left to spare. ;)
He should make a loan from the investors about 4.6%..
What is Percentage?To determine the volume or chance of commodity in terms of 100, use the chance formula. Per cent simply means one in a hundred. With the chance formula, a number between 0 and 1 can be expressed. A number that's expressed as a bit of 100 is what it is. It's substantially used to compare and determine rates and is represented by the symbol.
Total quantum plutocrat Korey have
= Saving plutocrat heritage plutocrat
= $,500$,000
= $,500
Total quantum of charges
= Store Fixtures amount + Computer and Cash Register amount + Inventory amount +Rent amount + Insurance amount
= $2700 + $1200 + $17400 +$10800 + $3000
= $35100
So, Fund taken through loans and investor
= Total quantum of charges -Total quantum plutocrat Korey have
= $ 35100-$ 33500
= $ 1600
and, the percentage is
= 1600 x 100 / 35100
= 4.6%
He should make a loan from the investors about 4.6%.
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Hayden has $20 to spend at the county fair. Admission to the fair is $5.00 per person, and tickets for food and games are $1.25 per ticket. What information is needed to calculate the amount of money that Hayden will have left after attending the fair?
Answers
Answer:
prices of food and games and tickets
hich is the joint relative frequency for the people who can only see the sunset?
StartFraction 5 Over 38 EndFraction
StartFraction 7 Over 38 EndFraction
StartFraction 12 Over 38 EndFraction
StartFraction 14 Over 38 EndFraction
Answers
Answer:
12/38
Step-by-step explanation:
Answer:
12/38
Step-by-step explanation:
7( x + 3 ) ≤ 4x − 5
Give your answer as an improper fraction in its simplest form.
Answers
Answer:
-26/3
Step-by-step explanation:
We open the bracket to get 7x +21 ≤ 4x -5
solve for x 1 + 2r = 35
Answers
Answer:
r = 17
Step-by-step explanation:
calculate: 2r=35-1
divide both sides: 2r=34
What is the equation of a line in general form that does not have a y-intercept and goes through the point (3,6) ?
(** I know the answer is x-3 = 0, please EXPLAIN)
Answers
Answer:
[tex]x = 3[/tex]
Step-by-step explanation:
Step 1: Determine the equation
So we know that our equation does not have a y-intercept which means that it doesn't intersect ANYWHERE on the y-axis. Therefore, this means that our equation will be a straight vertical line that doesn't move side to side and just goes straight up and down. We also know that our point is (3, 6) which means that our x-value will be 3 and this is where the equation will be located.
There are several ways to display our answer where x = 3 is the most common way which basically means give me all of the y-values for the same x value of 3. Another way of saying it is x - 3 = 0 which either way when adding 3 to both sides gives you x = 3 which is what I usually go with.
Answer: [tex]x = 3[/tex]
Answer:
x = 3 or x - 3 = 0
Step-by-step explanation:
Given
It does not have a y-interceptPasses through the point (3, 6)Solving
If the line cannot touch the y-axis, it has to be parallel to it (in other words, the line must be vertical)Since the x-value is constant for a vertical line and it passes through the point (3, 6), the equation of the line will be :x = 3 or x - 3 = 0The possible hours of daylight in a given day is a function of the day of the year . In Poughkeepsie , New York , the minimum hours of daylight ( occurring on the Winter solstice ) is equal to 9 hours and the maximum hours of daylight ( occurring on the Summer solstice ) is equal to 15 hours If the hours of daylight can be modeled using a sinusoidal equation what is the equation's ampltitude ?
Answers
Considering a sinusoidal equation, and the concept of amplitude, if it found that the equation's amplitude is of 3 hours.
What is the amplitude of a sinusoidal equation?It is given by half the difference between the greatest and the smallest value.
In this problem:
The greatest value is of 15 hours.The smallest value is of 9 hours.0.5 x (15 - 9) = 3.
Hence, the equation's amplitude is of 3 hours.
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Write a description of the rule.
(x, y) - (x-1, y +9)
translation 1 unit
to the right and 9 units down
translation 1 unit to the left and 9 units down
translation 1 unit to the
right and 9 units up
translation 1 unit to the left and 9 units up
Answers
The value a = -1 < 0 represents the translation -1 units to the left and
b = 9 > 0 represents the translation 9 units up is correct.
The rule of transformation is defined as,
( x , y ) → ( x + a , y + b ) (equation - 1)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units right and if a<0, then the graph shifts a units left.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
Based on the given conditions, formulate,
(x, y) → (x-1, y+9) (equation - 2)
From (1) and (2) equations,
We get,
a = -1 , b = 9
The value a = -1 < 0 represents the translation -1 units to the left and
b = 9 > 0 represents the translation 9 units up.
Therefore,
Description of the rule is,
The value a = -1 < 0 represents the translation -1 units to the left and
b = 9 > 0 represents the translation 9 units up is correct.
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A store buys a remote control robot for $60. They mark it up by 30%. What will be the selling price
Answers
Step-by-step explanation:
The store buys a remote control robot for $60 plus it marks up by 30%.
First, we need to convert 30% to a decimal of 0.30.
Then we multiply 60 by 0.30.
60*0.30=18
We know we have to add the original price of $60 with an $18 markup.
60+18=78
We now get $78 as the selling price.
help me due today it is math
Answers
Answer:
Exact form = 1/49
Step-by-step explanation:
Decimal form = 0.02
Hope this helps! :)
Answer:
[tex]\frac{1}{7}^{2} = \frac{1}{49}[/tex]
Step-by-step explanation:
The power of the 2 means to multiply it two times itself.
Example: 7^2 = 7 * 7 = 49
Apply that to a faction.
[tex]\frac{1}{7}^{2} =\frac{1}{7} *\frac{1}{7} = \frac{1}{49}[/tex]
If 6 pairs of socks cost $6. 90, what is the price for one pair of socks
Answers
Answer:
$1.15
Step-by-step explanation:
6 pairs of socks cost $6.90.
so every sock is at least one dollar. one dollar per sock, then you take the .90 and divided between the 6 socks and you get 15, so one dollar and 15 cents per sock.
Hope this helps, have a nice day!
Please Help !! What is the surface area of a cylinder with base radius 4 and height 5. Show your work .
Answers
Answer:
226.19
Step-by-step explanation:
A= 2πrh+ 2πr2= 2·π·4·5+2·π·42≈226.19467
or
S = (2 * pi * r^2) + (2 * pi * r * h)
S = (2 * pi * 4^2) + (2 * pi * 4 * 5)
S = (32 pi) + (40 pi) = 72pi = 226.08 ANS.
Answer:
251.333 (Repeating)
Step-by-step explanation:
First, you need to find the area of the circle at the top, which is [tex]\pi r^{2}[/tex]
Next, you multiply it by the height. (I did also use actual pi)
This is if it's total area, not lateral.
The graph of r = -10 cos θ has which of the following characteristics?
Answer choices are listed below.
Answers
Step-by-step explanation:
If we convert
[tex]r = - 10 \cos(x) [/tex]
to a Cartesian equation,
[tex] {r}^{2} = - 10 r \: \cos(x) [/tex]
[tex] {x}^{2} + {y}^{2} = - 10x[/tex]
[tex] {x}^{2} + 10x + {y}^{2} = 0[/tex]
[tex] {x}^{2} + 10x + 25 + {y}^{2} = 25[/tex]
[tex](x + 5) {}^{2} + {y}^{2} = 25[/tex]
So we have a circle with center (-5,0), with a diameter of 10.
What is the area of the figure below?
Answers
Answer:
B. 33cm^2
Step-by-step explanation:
To calculate the area of a figure, you'll need to multiply the base times the height.
So, you calculate the area of the two figures and you add them up.
(4x2) + (5x5) = 33cm^2
Answer:
The answer is B. 33 cm^2
Step-by-step explanation:
Area Formula of Square/Rectangle: Area = Length * Width
Left Box:
Area = Length * Width
Area = 4 cm * 2 cm = 8 cm^2
Right Box:
Area = Length * Width
Area = 5 cm * 5 cm = 25 cm^2
Total Area = 8 cm^2 + 25 cm^2 = 33 cm^2
Find the value of the trigonometric ratio. Express your answer as a fraction in lowest terms.
Find the value of the trigonometric ratio. Express your answer as a fraction in lowest terms.
\frac{20}{29}
29
20
\frac{21}{29}
29
21
\frac{21}{20}
20
21
\frac{29}{21}
21
29
Answers
Answer:
21/29
Step-by-step explanation:
Sin = hypotenuse side / opposite side to the angle
then: Sin (C) = 21 / 29
What is the first quartile in this box plot? Enter your answer in the box.
Answers
Answer:
30
Step-by-step explanation:
the beginning of the box is the first quartile the middle is the median the end it the third quartile
1. If the height is 12 inches and the diameter
is 16 inches, what is the volume?
h
Answers
Answer:
2411.52
Step-by-step explanation:
D = r x 2
R = d/2
16/2 = 8
A = πr^[tex]\pixr^{2}[/tex]
A = 3.14 x 8x8
A = 3.14 x 64
A = 200.96
V = A x H
V = 200.96 x 12
V = 2411.52
Need now pleasee! :(
Find the units digit for the sum
13^35 + 57^30 + 34^33
Give explanation/steps.
Answers
Answer:
The answer is 47796816366096114154433241462805777065938231744772710
Step-by-step explanation:
hope this helps you
please help im sorry i dont understand shapes and angles
Answers
Answer:
Sorry I can't answer this.
But you may use the protacter to find the angle
? = 73°
There are 7 sides in this polygon
Calculate total interior angles using (n-2) * 180
["n" denotes number of sides]
Here total interior angle: (7-2)*180 = 900°The missing angle inside the polygon:
900° - 130° -119° -130° -154° -130° -130°
900° - 793°
107°
A straight line has total 180°
? + 107° = 180°
? = 180° - 107°
? = 73°
Find the original price of a salt lamp that is $45 after a 70% discount.
Answers
So 0.1= $6.43
Therefore 1 (100%) = $64.29
Answer:
$150.00
Step-by-step explanation:
original price = sale price/1-discount
OP=45/1-0.7
OP=45/0.3
OP=150
solve for x
x over 7 = 6
Answers
Answer:
X = 42
Step-by-step explanation:
What divided by 7 equals 6..... 42! to prove we are right let us plug it into our equation.
42 / 7 = 6
DING DING DING Correct !
Answer:
X = 42
Step-by-step explanation:
Think of this problem as a division problem.
? ÷ 7 = 6
So solve this multiply 7 by 6.
This would leave you with 42.
Therefore 42/7 = 6
Easy Peasy :) Hope this helped! <3
A door's shape is made by combining a rectangle and a semicircle. What is the area of the door?
Answers
Answer:
34.28 ft²Step-by-step explanation:
Area of the door = area of the rectangle + area of the semicircle
= 7 × 4 + (3.14 × 2²)/2
= 28 + (3.14 × 4)/2
= 28 + 3.14 × 2
= 28 + 6.28
= 34.28
HELPP?!!!
A supermarket is holding a raffle for a new wrist watch. Out of the 500 tickets sold, David buys tickets numbered 5, 6, 7, and 8. What are the odds in favor of David's winning the raffle?
Answers
Answer:
1/125
Step-by-step explanation:
He buys 4 tickets out of 500:
4/500 = 2/250 = 1/125