Letters a, b, c, and d are angle measures. Which should equal 105° to prove that f ∥ g?
abcd
Answers
we know that
If lines f and g are parallel
then
the angle c must be equal to
∠c=[tex]75\°[/tex] ------> by alternate exterior angles
and
∠c+∠d=[tex]180\°[/tex] ------> by supplementary angles
so
∠d=[tex]105\°[/tex]
therefore
the answer is
The angle d should be equal to [tex]105\°[/tex] to prove that f ∥ g
your answer is d on edge.
Related Questions
A ball always bounces to 3/5 of the height from which it falls. It falls from a height of 1meter how high will it rise after the second bounce?
Answers
After the second bounce, the ball will rise to a height of 0.36 meter.
Explanation:To find the height the ball will rise after the second bounce, we can use the given information that the ball always bounces to 3/5 of the height from which it falls. In this case, the ball falls from a height of 1 meter.
For the first bounce, the ball rises to 3/5 of 1 meter, which is 0.6 meter. For the second bounce, the ball will rise to 3/5 of 0.6 meter. To calculate this, we multiply 3/5 by 0.6 meter, which gives us 0.36 meter.
Therefore, after the second bounce, the ball will rise to a height of 0.36 meter.
Write using algebra.
If Jim is x years old now, and his sister is twice as old, how old was his sister 7 years ago?
Answers
And this needs to be 20 characters (so don't mind this)
The Leukemia and Lymphoma Society sponsors a 5k race to raise money. It receives $55 per race entry and $10,000 in donations, but it must spend $15 per race entry to cover the cost of the race.
Write and solve an inequality to determine the number of race entries the charity needs to raise at least $55,000
(I have no idea how to do this. It's just extra credit but I need it)
Answers
They receive:
$10,000 fixed amount in donations
$55 per person
They pay:
$15 per person
If there are x number of entries, they receive 55x from the entries.
Also, they pay 15x for the entries.
The net amount they raise is amount they receive min us amount they pay:
55x + 10,000 - 15x
which simplifies to
40x + 10,0000
They want to raise at least $55,000.
At least $55,000 means $55,000 or more.
They want to raise an amount greater than or equal to $55,000.
Now we write the inequality:
40x + 10,000 >= 55,000
Now we solve the inequality for x, the number of entries.
40x >= 45,000
x >= 1125
They must have 1125 or more race entries to raise $55,000.
You put $800 in a savings account at 4% annual interest and leave it there for five years. What is the principle?_____
Answers
How to simplify each expression
2/3(7w + 4) - 1/3 (2w - 1 )
(3-7m) +2(3.5m+ 1)
Answers
14w/3 + 8/3 -2/3 w +1 /3 =
12w /3 + 9/ 3 = 3 ( 4w +3) / 3 = 4w +3
the second
3-7m +7m+ 2 = 5
A truck driver drove 120 miles in 1 3/4 hours what is the speed of the truck in miles per hour
Answers
answer
It takes 37 pounds of seed to completely play a 4 acre field how many acres can be planted per pound of seed
Answers
.108 acres per pound
Henry bought a movie tickets for himself and 6 of his friends.each movie ticket cost $7.85.How much money did Henry spend on tickets?
Answers
3(x+1)-2(3x+7) i need help with this question
Answers
3x + 3 - 6x - 14
Simplify
-3x - 11
solve for x
-3x = 11
-3x/-3 = 11/-3
x = -11/3
hope this helps
3x + 3 - 6x - 14
(3x - 6x) + (3 - 14)
-3x - 11
hope this helped, God bless!
Cheryl can travel 21.6 miles on one gallon of gas.
How far can Cheryl travel on 6.2 gallons of gas?
Answers
Your answer would be, 133.92 my good friend!
Which symbol correctly compares the two fractions? Use > , < , or =. Enter your answer in the box. 2/4 3/8
Answers
The greater than symbol, ">," accurately compares the two fractions because 2/4 > 3/8. They are 2/4 and 3/8, respectively.
what are symbols ?something that represents another item. especially: something tangible that denotes or implies something else that is not itself imaginable or demonstrable. The lion is a representation of bravery. an alternative to a word or combination of words, such as a letter, character, or sign.
given
= 2/4 = 0.5
= 3/8 = roughly 0.37
The greater than symbol, ">," accurately compares the two fractions because 2/4 > 3/8.
To know more about symbols visit :-
https://brainly.com/question/17310967
#SPJ1
Final answer:
To compare 2/4 and 3/8, simplify 2/4 to 1/2, then convert to eighths, resulting in 4/8. Since 4/8 is greater than 3/8, 2/4 is greater than 3/8.
Explanation:
To compare the fractions 2/4 and 3/8, we need to find a common denominator or convert them to a common form such as decimals.
The simplest way is to notice that 2/4 can be simplified to 1/2.
Now, if we convert 1/2 to eighths, we get 4/8 because we multiply both the numerator and denominator by 4 to get the common denominator of 8 (1 x 4)/(2 x 4) = 4/8.
Comparing 4/8 with 3/8, we can see that 4/8 is larger than 3/8, as 4 is greater than 3.
Hence, the correct inequality symbol to compare 2/4 and 3/8 is ">".
According to the transitive property of inequality which states that if a > b and b > c then a > c, if 4/8 > 3/8 and 2/4 is equal to 4/8, then 2/4 > 3/8.
The table below show 2 equations. Equation 1: 3x-1=7+2 Equation 2: 2x+1+4=3 which statement is true about the solution to the two equation?
Answers
For the first equation we have:
3x-1=7+2
3x = 7+2+2
3x = 10
x = 10/2
For the second equation we have:
2x+1+4=3
2x = 3-4-1
2x = -2
x = -1
Therefore, there isn't a solution that satisfies both equations. Based on this, this system of equations has no solution.
The answer is d
i hope this helps
Using distributive property solve 4x39=n
Answers
PLease help ME!!!!!!!!!!!!!!!!!!
Conduct a poll of adults and students in your area. Ask them how much time they spend online each week that is not for work or school. Describe how you conducted the poll and record the results of the poll in an organized manner below.
Answers
And most of the children in my Community spend 53% of their time online without working.
David charges $15 plus $5.50 per hour to mow lawns Arie charges $12 plus $6.25 per hour to mow lawns. In what situation is Aries charge greater than or equal to David’s charge?
Answers
what is 0.13 +(-5.7)
Answers
find a pair of 3 digit numbers that have an estimated difference of 520
Answers
find the sum of the first 13 terms in the series -5+1+7...+67
Answers
S13 = (13/2)[2*-5 + (13-1)*6)] = 403
5 less than the quotient of a number and 3 is -7
Answers
____________________________________________
This would be one way to write the expresion/equation; in which "x" represents the unknown number.
Now, to solve for "x" ;
____________________________________________
Given:
____________________________________________
[tex] \frac{x}{3} [/tex] - 5 = -7 ;
Add "5" to EACH SIDE of the equation:
_____________________________________________
[tex] \frac{x}{3} [/tex] - 5 + 5 = -7 + 5 ;
to get:
[tex] \frac{x}{3} [/tex] = -2 ;
x = (-2 * 3) ;
_________________________________
x = - 6 .
_________________________________
Lisa has a certain amount of money. She spent 39 dollars and has 3/4 of the original amount left. How do you write this equation?
Answers
What this problem is saying is that “taking away 39 from m is equivalent to taking 3/4 of m.” What do “taking away 39 from,” “equivalent to,” and “3/4 of” translate to mathematically?
Alan travels 3/10 of his journey car. 3/20 by bicycle 1/12 by boat and walks the rest what fraction of the journey did he walk? If the journey is 140 km,how many km did he walk?
Answers
The LCD (lowest common denominator) is 60 as this is the smallest multiple of 10, 20, and 12.
Get each fraction to have a denominator of 60
3/10 = (3/10)*(6/6) = (3*6)/(10*6) = 18/60
3/20 = (3/20)*(3/3) = (3*3)/(20*3) = 9/60
1/12 = (1/12)*(5/5) = (1*5)/(12*5) = 5/60
The fractions
3/10, 3/20, and 1/12
are equivalent to
18/60, 9/60, and 5/60
in that exact order
Add up the second set of fractions to get
(18/60) + (9/60) + (5/60) = (18+9+5)/60 = 32/60 = 8/15
The result of adding the fractions and reducing leads to 8/15 meaning that Alan takes 8/15 of the journey to use his car, bike and boat
The rest of the journey (7/15) is done walking
Multiply this with the total distance 140
(7/15)*140 = (7/15)*(140/1)
(7/15)*140 = (7*140)/(15*1)
(7/15)*140 = (980)/(15)
(7/15)*140 = (975+5)/15
(7/15)*140 = (975/15)+(5/15)
(7/15)*140 = (65)+(1/3)
(7/15)*140 = 65 & 1/3
The answer as a mixed number is 65 & 1/3
The answer as an improper fraction is 980/15
The approximate answer in decimal form is 65.33 (rounded to 2 decimal places)
Pat has nine cards. Frank has two more cards than Steve. Steve has 3 cards how many more cards does Pat have than Frank?
Answers
steve = 3
frank = 5 (3+2)
9-5 = 4
answer is 4
Based on the information given, Pat has 4 more cards than Frank.
The number of cards that Pat has = 9 cards
Number of cards that Steve has = 3 cards
Since Frank has two more cards than Steve, the total number of cards that Frank has will be: = 3 + 2 = 5
In order to know the number of cards that Pat has more than Frank, we will have to calculate the difference between the cards that they've. This will be:
= Pat's card - Frank's card
= 9 - 5
= 4
Therefore, Pat has 4 more cards than Frank.
Read related link on:
https://brainly.com/question/1902152
What is 3x+15-9=2(x+2) ?
Answers
3X + 15 - 9 = 2(X + 2)
3X + 6 = 2X + 4
3X - 2X = 4 - 6
X = - 2 ===> The great answer.
TESTING:
[tex]3(-2)+15-9=2(-2+2)\\ \\-6+6=2(0)\\ \\\boxed{0}=\boxed{0}\quad\checkmark\ Correct.[/tex]
GOOD LUCK...!!
Circle the ordered pairs that are solutions to the inequality y - 2x < - 1.
(1, 0)
(0, 1)
(0, -1)
(-1, 0)
(3, 2)
(-2, -4)
(2, 4)
(-4, 2)
(0, 0)
Please help!
Answers
(1,0) After plugging those into the equation we get: 2<-1. this is not true, so this answer is false.
I continued this all the way down the line:
(0,1)= 1<-1 = false
(0,-1)=-1<-1=false
(-1,0)= -2<-1=true
(3,2)=-1<-1=false
(-2,-4)=2<-1=false
(2,4)=2<-1=false
(-4,2)=8<-1=false
(0,0)=0<-1=false
There is only one true ordered pair for this equation:
(-1,0)
The length of a rectangle is twice the width. If the perimeter of the rectangle is 60 units, find the area of the garden.
Answers
Set the following: Length = L Width = W
The length is twice the width: L = 2*W or: W = L/2
Perimeter: P = 60ft = 2*L + 2*W
Substituting L for W in the perimeter equation gives:
P = 60ft = 2*L + 2*(L/2) = 2*L + L = 3L
L = 60ft/3 = 20ft W=L/2=20ft/2=10ft
Verify result: Perimeter= P = 60ft = 2L + 2W = 2*20ft +2*10ft = 40ft+20ft = 60ft
The area of the rectangular is: Area = A = Length*Width = L*W = 20ft*10ft = 200 (ft)^2
Hopefully This Helps!!
Final answer:
To find the area of a rectangle when the perimeter is given, determine the dimensions using the relationship between length and width and then calculate the area. In this case, the area of the garden is 200 square units.
Explanation:
The length of a rectangle is twice the width. If the perimeter of the rectangle is 60 units, find the area of the garden.
Let the width of the rectangle be x. Therefore, the length is 2x.
The perimeter of a rectangle is given by 2(length + width), which in this case is 2(2x + x) = 60 units.
Solving for x, we get x = 10. Therefore, the width is 10 units and the length is 20 units. The area of the garden is length x width = 20 x 10 = 200 square units.
Find (18 × 106) + (5 × 104). A) 1.8005 × 106 B) 1.8005 × 107 C) 1.805 × 106 D) 1.805 × 107
Answers
Calvin Butterball is driving along the highway. He starts up a long, straight hill. 114 meters from the bottom of the hill Calvin's car runs out of gas. He doesn't put on the brakes, so the car keeps rolling for awhile, coasts to a stop, then start rolling backwards. He finds that his distances from the bottom of the hill 4 and 6 seconds after he runs out of gas are 198 and 234 meters, respectively. b.Write an equation expressing Calvin's distance from the bottom of the hill in terms of the number of seconds which have elapsed since he ran out of gas.
Answers
Final answer:
To determine Calvin's distance from the bottom of the hill in terms of the number of seconds since running out of gas, we can use the equation of motion for uniformly accelerated motion.
Explanation:
To write an equation expressing Calvin's distance from the bottom of the hill in terms of the number of seconds that have elapsed since he ran out of gas, we can use the equation of motion for uniformly accelerated motion.
Calvin's initial position at 0 seconds is 114 meters, and his final position at 4 seconds is 198 meters. Plugging these values into the equation:
d = vi x t + 0.5 x a x t²
we can solve for the acceleration, a:
a = (d - vi x t) / (0.5 x t²)
Substituting the values of d = 198m and t = 4s, we get:
a = (198m - 114m) / (0.5 x (4s)²)
After obtaining the acceleration, we can use the equation to find Calvin's distance from the bottom of the hill at any time after running out of gas.
how do you simplify -7 |7|
Answers
negative times a positive is a negative
so -7*7= -49
_____________________________
The problem: "What is "-7" multiplied by "the absolute value of (7)"?
Note: The absolute values of (7) = 7 ; that is the absolute values of (positive 7) is: "(positive 7)" .
__________________________
So, we are left with: What is: "-7 " multiplied by "+ 7" ;
{i.e. , " (-7)*(7) = ? " } ;
_________________________
The answer is: " -49 " .
_________________________
Solve for x. -16 = 8x/5
x = 10
x = -10
x = -25
Answers
solve equations
step 1 simplify both sides of the equation.
- 16 = 8/5x
step 3 flip the equation
8/5x = - 16
step 3 multiply both sides by 5/8
( 5/8) * ( 8/5x) = (5/8) * ( - 16)
x = - 10
answer x = - 10
Density practice
A gas tank hold 50L. If the density of gasoline is 0.7 g/ml how much mass will the tank of gas have