Proved that angle 2 is congruent to angle 4 (∠2 ≅ ∠4).
What are supplementary angles?Supplementary angles are those that total 180 degrees. Angles 130° and 50°, for example, are supplementary angles because the sum of 130° and 50° equals 180°.To proof:
Given:
Angles 1 and 2 are supplementary.Angles 3 and 4 are supplemental.Angle 1 is parallel to angle 3.Show that angle 2 and angle 4 are congruent.This proof includes definitions of congruence and supplementary angles, as well as some equality properties.
∠1 and ∠2 are supplementary (given)∠3 and ∠4 are supplementary (given)∠1 ≅ ∠3 (given)m∠1 + m∠2 = 180°m∠3 + m∠4 = 180° m∠1 + m∠2 = m∠3 + m∠4 (transitive property of equality)m∠1 = m∠3 9congruent angles)m∠1 + m∠2 = m∠1 + m∠4 (substitution property of equality) (replaced m∠3 with m∠1)m∠2 = m∠4 (subtraction property of equality) (subtracted m∠1 from both sides)∠2 ≅ ∠4 (congruent angles)Therefore, the proving is shown.
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The correct question is given below;
Angle 1 and angle 2 are supplementary. Angle 3 and angle 4 are supplementary. Angle 1 is congruent to angle 3. Prove: Angle 2 is congruent to angle 4.
Paper weighs 4.9 kg for every 500 sheets, how much will 700 sheets weigh?
Answer:
6.86 kg
Step-by-step explanation:
Here ,apparently the weight and number of sheets are proportional.
Let m be the weight of 700 sheets.
[tex]\text{} \begin{matrix}500\ \text{sheets} \text{} \longrightarrow 4.9\ \text{kg} \\ 700\ \text{sheets} \text{} \longrightarrow m\ \text{kg} \end{matrix}[/tex]
coefficient of proportionality :
[tex]\text{} \text{The coefficient of proportionality is equal to :} \ \frac{700}{500} =\frac{7}{5}[/tex]
Then
[tex]\frac{m}{4.9} = \frac{7}{5}[/tex]
Then
[tex]m = \frac{7}{5} \times 4.9 =6.86 \ \text{kg}[/tex]
Write an equation of the line and interpret the slope and y intercept (Will award brainiest answer)
Answer:
y=mx+by=mx+bm=slope(x,y)=a point on the lineb=the y value of the y-interceptm=slope(x,y)=a point on the lineb=the y value of the y-intercept
Step-by-step explanation:
G
H
OI and M
OJ and L
OH and N
OG and O
-6
-5
264
K
-3
1Which two points are 4 units from K?
L
-2
3
-1
N
0
If n+ 2 is divisible by 2 then which statement is always True?
A- n is an even number
B - n is an odd number
C- n is a prime number
D- b is equal to n + 1.
Answer:
the right answer is A
Step-by-step explanation:
the even number can be always divided by 1,2 and themselves
If one book is 2.5 inches wide and another is 1.754 inches wide, how much wider is the first?
4x - 2x + x - 6 = 15
solve for x and show steps!
Answer:
x = 7
Step-by-step explanation:
Let's solve the problem,
→ 4x - 2x + x - 6 = 15
→ 3x - 6 = 15
→ 3x = 15 + 6
→ x = 21/3
→ [ x = 7 ]
Thus, the value of x is 7.
Marcy walked 3 7/10 miles on Saturday and Sunday she walked 0.25 more miles than she did on Saturday how many total miles did she walk over the weekend. Pls.
Help
It’s math
B
Over the weekend she walked a total distance of (4 + 5/8) miles
How many total miles did she walk over the weekend?
We know that on Saturday she walked a total of (3 + 7/10) miles (so we need to work with mixed numbers), and on Sunday she walked 0.25 of that distance.
Then the distance that she walked on Sunday is:
D = 0.25*(3 + 7/10) miles
We can rewrite: 0.25 = 1/4
replacing that:
D = (1/4)*(3 + 7/10) mi = (3/4 + 7/40) mi
= (30/40 + 7/40)mi = (37/40)mi
Then the total distance that she walked over the weekend is:
d = (3 + 7/10) mi + (37/40)mi
= (120/40 + 28/40) mi + (37/40) mi
= (185/40)mi = (160/40 + 25/40) mi = (4 + 5/8) mi
Over the weekend she walked a total distance of (4 + 5/8) miles
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What is the missing value of 2/5 equals how many 15th
The number of fifteenths which are contained in 2/5 as required to be evaluated in the task content is; 6.
What is the number of fifteenths which are present in 2/5 as required in the task content?It follows from the task content that the number of fifteenths which are contained in 2/5 as required is to be computed.
Given;
2/5.
To find;
How many fifteenths?
Hence, the number of fifteenths in 2/5 as required can be evaluated as follows;
2/5 ÷ 1/15
= 2/5 × 15/1
Multiply the numerators and denominators accordingly;
= 30/5
= 6.
Ultimately, the number of fifteenths in 2/5 is; 6.
Therefore, The number of fifteenths which are contained in 2/5 as required to be evaluated in the task content is; 6.
This concept follows from the division of fractions as in arithmetic operations.
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PLS HELP 50 PTS AND BRAINLY
Answer: Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(13×55)+(25×33)=?
Complete the multiplication and the equation becomes
515+615=?
The two fractions now have like denominators so you can add the numerators.
Then:
5+615=11/15
This fraction cannot be reduced.
Therefore:
13+25=11/15
Step-by-step explanation: hope this helps!!!!
Answer:The answer would be 11/15 mile
Step-by-step explanation:
the perimeter of a one rectangular deck is 78 feet. the length of deck can be represented as (2x 3), and its width can be represented as (3x-4). the perimeter of a second rectangular deck is 2 times the perimeter of the first deck with a length of (4x 6) and a width of (6x -1). what is the value of x of the first rectangular deck?
The value of x of the first rectangular deck is 8.
For given question,
The perimeter of a one rectangular deck is 78 feet.
The length of the first rectangular deck is represented as (2x + 3), and its width is represented as (3x-4).
Similarly, the perimeter of a second rectangular deck is 2 times the perimeter of the first deck with a length of (4x + 6) and a width of (6x -1).
We need to find the value of x of the first rectangular deck.
Let P1 be the perimeter of the first rectangular deck.
⇒ P1 = 2 × (length + width)
⇒ 78 = 2 × [(2x + 3) + (3x - 4)]
⇒ 39 = (2x + 3x + 3 - 4)
⇒ 39 = 5x - 1
⇒ 40 = 5x
⇒ x = 40/5
⇒ x = 8
Therefore, the value of x of the first rectangular deck is 8.
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what is the volume of this pyramid? 720 cm³ 720 cm³ 1080 cm³ 1080 cm³ 1440 cm³ 1440 cm³ 2160 cm³ 2160 cm³ a pyramid with a right triangular base. the right triangular base has leg lengths of 9 centimeters and 15 centimeters. the height of the pyramid is 32 centimeters.
Based on the calculations, the volume of this pyramid is equal to 1440 cm³.
Given the following data:
Length of right triangular base = 9 centimeters and 15 centimeters.
Height of right triangular base = 32 centimeters.
How to calculate the volume of a pyramid?Mathematically, the volume of a pyramid can be calculated by using this formula:
Volume = 1/3 × b × h
Where:
h is the height of a pyramid.
b is the base area of a pyramid.
Substituting the parameters into the formula, we have:
Volume = 1/3 × 9 × 15 × 32
Volume = 3 × 15 × 32
Volume of pyramid = 1440 cm³.
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If lines a and b are perpendicular to line c, what word best describes how lines a and b relate to each other?
A.intersecting
B. Parallel
C. Perpendicular
D. Skew
answer:
C. Perpendicular
explanation:
perpendicular is defined as intersecting to create 90 degree angles on all four created angles.
if both lines a and b are perpendicular to line c, then they must be parallel.
is -2/7 rational or irrational
Answer:
rational
Step-by-step explanation:
Rational numbers are able to be denoted as a ratio. -2/7 is a ratio, so it is rational.
4. Technology required. Priya starts with $50 in her bank account. She then deposits $20
each week for 12 weeks.
a. Write an equation that represents the relationship between the dollar amount
in her bank account and the number of weeks of saving.
d=50+20w
b. Graph your equation using graphing technology. Mark the point on the graph
that represents the amount after 3 weeks.
The equation [tex]d=50+20w[/tex] represents the relationship between dollar amount in her bank account and the number of weeks of savings.
The definition of an equation is a formula that states that two formulas are equal. For example, 3x + 5 = 14 is an equation where 3x + 5 and 14 are two terms separated by an equal sign. The most basic and simple algebraic equations consist of one or more variables in mathematics. In mathematics, a graph can be defined as a graphical representation or chart that systematically represents data or values. A point on a graph often represents a relationship between two or more things.
(a) It is given that amount in bank account is $50 , amount deposited by Priya is $20 and time period is 12 weeks .
Let " d " be the dollar and " w " be the weeks
Multiply the number of weeks w by 20 to get the total savings and add up how much money she had in the account initially.
Money deposit by Priya in 1 week = $20
Money deposit by Priya in 1 week = [tex]20\times w[/tex]
Therefore , the equation will be [tex]d=50+20w[/tex]
(b) Graph of given equation is given below :
Let " w " represents the x - axis and " d " represents the y - axis
For 1 week , amount will be [tex]d=50+20=60[/tex]
For 2 week , amount will be [tex]d=50+20(2)=90[/tex]
For 3 week , amount will be [tex]d=50+20(3) = 110[/tex]
And so on..
From the graph ,the point which represents the amount after 3 weeks is
(3 , 110 )
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Simplify
(7y+4)(8y+2)
Answer:
56y^2+46y+8
Explanation:
Hope this helps you.
I dont know why i dont get it
Answer:
12 miles+14 miles+18 miles+12 miles+15 miles= 71 miles.
Step-by-step explanation:
Give the full question next time alright?
Evaluate v-w for the given values. v = -14; w = 7
Answer:
I believe the answer would be :
-14 - 7 = -21
Answer = -21
____ is the vertical distance between two or more lines or surfaces (part features) that are in horizontal planes.
Height is the vertical distance between two or more lines or surfaces (part features) that are in horizontal planes.
What are horizontal planes?Horizontal plane can as well be described as the plane or surface that can be seen as the one that is parallel to the surface of the earth, , it should be noted that this plane is usually at the at an angle of zero degree hence horizontal plane.
Therefore, the plane is perpendicular to the horizontal plane , hence Height is the vertical distance between two or more lines or surfaces (part features) that are in horizontal planes.
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40, 24, 72/5
Find the 10th term
Answer:
0.24186
Step-by-step explanation:
40 x (3/5) = 24
24 x (3/5) = 72/5 or 14.4
Keep multiplying 3/5 or 0.6
= 0.24186
what is the slope y intercept and equation?
Answer:
Below in bold.
Step-by-step explanation:
Slope = difference in y values / difference is x values
= (1 - (-3)) / (0 - (-1)
= 4 / 1
= 4.
The y-intercept is the y value when x = 0, so it is
= 1.
So, the equation is
y = 4x + 1.
You are 5 feet 4 inches tall and cast a shadow 3 feet long. At the same time, a nearby water tower casts a shadow 74 feet 3 inches long.
a. Find the height of the water tower.
The height of the water tower is 132 feet
How to solve for the height of the towerWe have the height to be 5 feet 4 inches
then 1 feet = 12 inches
inch = 1 / 12 ft
Then 4 inches = 1 / 12 x 4
= 1 / 3 ft
Height = 5 1/3
= 16 / 3
height of the shadow cast = 3 feet
For the water tank
74 ft 3 inches
= 74 x 3 / 12
297 / 4
the height of the tower
[tex]\frac{height of person}{height of shadow} =\frac{height of tower}{height of person}[/tex]
= [tex]\frac{16/3}{3} =\frac{x}{297/4} \\\\\frac{16}{3*3} =\frac{4x}{297}[/tex]
Then x = 132
Therefore the height of the water tower is 132 feet
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Nine less then a number is four
Answer: 13 (simplified)
Step-by-step explanation: 9 + 4= 13, minus 9 equals 4
Answer: Question: x-9=4
Step-by-step explanation: X is 13
At his last track meet, kenneth ran the 400-meter dash in 54 seconds. his friend madelyn bet him that he couldn't run a whole kilometer at that pace, but kenneth is determined to prove her wrong. how many minutes would he have to run at this pace to win the bet? write your answer as a whole number, decimal, or simplified fraction. do not round.
Kenneth will have to run 2.25 minutes at the same speed to win the bet.
What is Speed?Speed is the rate of movement of an object along a path in time.
=> [tex]Speed =\frac{Distance}{Time}[/tex]
Now,
Given:
Kenneth ran 400m in 54s.To find: Number of minutes to maintain the speed to win the bet.
Finding:
According to the information given in the question,
The speed in minutes = [tex]\frac{400}{54}(60)[/tex] = 444.44 meter/min
Since Kenneth is determined to run at this speed for 1 km, he will have to maintain it for:
=> [tex]\frac{1000}{444.44}[/tex] = 2.25 minutes (As [tex]Speed =\frac{Distance}{Time}[/tex], => [tex]Time=\frac{Distance}{Speed}[/tex])
Hence, Kenneth will have to run 2.25 minutes at the same speed to win the bet.
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I’d really appreciate any kind of help :)
Answer: it is B
Step-by-step explanation: i would love to help
Analizeaza urmatoarele verbe mentionand persoana si numarul! a plecat,vei ajunge,sa mearga
Answer: I dont understand what your saying
Step-by-step explanation:
Are you speaking a diffrent language
Answer:
in English: let,will,arrive,let,go
in Romanian: lasa, va, sosi, lasa, pleca
Step-by-step explanation:
I think the language is Romanian
i need help if you help me it will be much helpfull thank you
Answer:
Step-by-step explanation:
Answer is D
509
-106
403
4 hundred and 3 ones
Please help it would be very much helpul
x = 12.
Perpendicular lines are lines that intersect at a 90-degree angle. So, for example, line ST is perpendicular to line CD. So line ST is perpendicular to line CD.
Perpendicular lines always intersect each other, however, all intersecting lines are not always perpendicular to each other. The two main properties of perpendicular lines are: Perpendicular lines always meet or intersect each other. The angle between any two perpendicular lines is always equal to 90.
Given that
line m and n are perpendiculars
then angle ∠a = ∠b
then
5x + 20 = 7x -4
7x -5x = 20 + 4
2x = 24
x = 24/ 2
x = 12.
Hence the value of x = 12
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Find the range of the data set: 10,18, 21, 28, 12, 20
Answer: 18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
The range is the greatest number minus the number with the least value.
28 - 10 = 18
A college baseball stadium has 6,925 seats. During 12 games this season, the stadium sells out and fills every seat.
How many tickets were sold for those 12 games?
The number of tickets sold during the 12 games is 83,100 tickets
How to calculate the number of tickets sold ?The college stadium has 6,925 seats for the baseball games this season.
During the entire 12 baseball games, al the seats were filled up and tickets were sold out.
Therefore the number of tickets sold in the entire 12 games can be calculated by multiplying 6,925 by 12
= 6925 × 12
= 83,100
Hence 83,100 tickets were sold in the entire 12 games
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HELP PLS THIS MATH ADD AND SUBTRACT FRACTION I DING GET BC I FORGET EVERYTHING I LEARN FROM PAST YEARS
Answer: 1. 35 5/6 - 4 1/2
2. 1 5/8 - 2/3
3. 1 5/8 + 2/3
4. 35 5/6+4 1/2
Step-by-step explanation:
1. E=Eli. J=Jamison
E=J+4 1/2
35 5/6=J+4 1/2
J=35 5/6 - 4 1/2
2. s=cups of strawberries
b=cups of blueberries
m=more cups of b than s
m=b-s
m=1 5/8 - 2/3
3. o=original length of patio.
i=increase in length of patio
t=total length of patio after increase.
o+i=t
1 5/8 + 2/3=t
4. p=pine tree. a=palm tree. i=inches taller
p+i=a
35 5/6+4 1/2=a