When two or more lines are parallel to each other, this implies that they do not meet even extending them till infinity. So the statement justifies the construction because only one line through point C can be constructed to be parallel to AB.
When a parallel line is constructed through a point to a given line, this is the only parallel line that can be drawn to the given line. Parallel lines are lines that will not meet at any point. Thus, only one parallel line can be constructed through a point not to a given line.
The construction of a line through C that is parallel to line AB is justified by the given statement in the theorem since this is the only parallel line to line AB that can be drawn through the point C. Any other line through C would intersect or meet line AB at a point when extended, thus would not be parallel to the given line.
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An item is on sale for 30% What would the new cost be if the item was originally $275
Answer:
$192.5
Step-by-step explanation:
$275÷10=27.5
27.5×3=82.5
275-82.5=192.5
A Web site charges $0.99 to download a game and a $12.49 membership fee. Write an expression that gives the
total cost in dollars to download g games. Then find the cost of downloading 6 games.
Answer:
Part A (Equation): C(g) = 0.99g + 12.49
Part B: Total cost of 6 games = $18.43
Step-by-step explanation:
Given the $0.99 charge to download a game, and a membership fee of $12.49:
Part A: Find the Equation of Total Cost, C, and Number of Games (g)A cost function (or equation) that represents the total cost (C ), in dollars, to download g number of games is:
C(g) = 0.99g + 12.49
where:
0.99 (cost per downloaded game) = represents the rate of change (or slope). This means that the total cost increases by $0.99 for every game that is dowloaded. 12.49 (membership fee) = the initial value or flat fee (y-intercept). Part B: Find the cost of downloading 6 games:To find the cost of downloading 6 games C(6), substitute the value of g = 6 into the equation:
C(g) = 0.99g + 12.49
C(6) = 0.99(6) + 12.49
C(6) = 5.94 + 12.49
C(6) = 18.43
Therefore, it costs $18.43 to download 6 games.
Graph the function f(x)=1/2x+1
Answer:
See attached graph.
Step-by-step explanation:
Slope - Part 1
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest
form in the box
Please hurry!!
Answer:
-1
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
Using the points on the line (-2,0) and (0,-2)
m = ( -2-0)/(0- -2)
= (-2-0)/(0+2)
-2/2
-1
Jenny drove 335 miles in 5 hours at the same rate how long would it take her to drive 871 miles?
Answer: x = 13 hours
Step-by-step explanation:
335 miles/5 hours = 67 mi/hr
(67 mi/hr)x = 871 miles
x = 13 hours
how do u add and subtract rational numbers
Answer:
ration number such as 2 and 3
2 plus 3 is 5
3 minus 2 is 1
3 by 5 plus 2 by 5 is 5 by 5 which is 1
3 by 5 plus 2 by 4 take lcm and add the numerator .
Sally collected 30.4 pounds of cans to recycle and plans to collect 2.1 more pounds each week. In this situation, what is the value of the y-intercept?
The y-intercept is the intital value where the equation begins.
Because Sally initially started at 30.4 pounds, the y-intercept is 30.4.
solve for X in the figure below
[tex]\\ \sf\longmapsto 4x+12+90=180[/tex]
[tex]\\ \sf\longmapsto 4x+102=180[/tex]
[tex]\\ \sf\longmapsto 4x=78[/tex]
[tex]\\ \sf\longmapsto x=19.7[/tex]
Six apples and three oranges cost $3.36. Two apples and five oranges cost $3.04. Find the cost of one apple and the cost of an orange.
Answer and step-by-step explanation pls!!
Answer:
$0.8
Step-by-step explanation:
let x represent the price of apples
let y represent the price of oranges
6x+3y=3.36—eqn 1
2x+5y=3.04—eqn 2
Multiply eqn 2 by 3
3(2x+5y=3.04)=6x+15y=9.12
Subtract eqn 2 from 1
6x+3y=3.36
-{6x+15y=9.12}
-12y=-5.76
y=0.48
plug y=0.48 into eqn 1
6x+3(0.48)=3.36
6x=3.36-1.44
x=1.92/6=0.32
That is, an apple costs $0.32 and an orange costs $0.48
Therefore the cost of an orange and an apple=$0.48+$0.32=$0.8
Answer:
apple: $0.32orange: $0.48Step-by-step explanation:
Let x and y represent the costs of 1 apple and 1 orange, respectively. The two cost figures tell us ...
6x +3y = 3.36
2x +5y = 3.04
We note that all of the numbers in the first equation are divisible by 3, so we can divide by 3 to reduce it to ...
2x +y = 1.12
Subtracting this from the second equation gives ...
(2x +5y) -(2x +y) = (3.04) -(1.12)
4y = 1.92 . . . . . . . simplify
y = 0.48 . . . . . . . divide by 4
Then the cost of an apple can be found from our reduced equation:
2x +0.48 = 1.12 . . . substitute for y
2x = 0.64 . . . . . . . . subtract 0.48
x = 0.32 . . . . . . . . . divide by 2
The cost of one apple is $0.32; the cost of one orange is $0.48.
_____
Additional comment
The method of solution we used here is called "elimination," because the x-variable was eliminated from the combined equations. There are numerous other methods available for solving a system of linear equations. Most graphing calculators have features for graphing and for reducing matrices that will solve these for you. All you need to do is enter the equations.
how do you turn radius into cm
Answer:
depending on the question I suggest only converting at the end
sorry if it doesn't help
by the way a cm needs to be times by 100 to become a meter
1. John is going to join a gym. He must pay a one-time membership fee of $75 and a monthly fee of $30. Let m = the number of months John has his membership. Write an expression to represent this situation How much will John pay for 6 months of membership?
2. Madison is having a party. She went to the store and bought a cake for $18.50 and 20 balloons. Her total bill was $63.50. How much did each balloon cost if they all cost the same? Write and solve an equation. Please look over these again. Webmail your answers to get your points back.
John's membership in the gym and Madison's party are illustrations of linear equations.
1. John's equation
The given parameters are:
[tex]\mathbf{Base = 75}[/tex]
[tex]\mathbf{Monthly = 30}[/tex]
The monthly expression is:
[tex]\mathbf{f(m) = Base + Monthly \times m}[/tex]
So, we have:
[tex]\mathbf{f(m) = 75+ 30 \times m}[/tex]
[tex]\mathbf{f(m) = 75+ 30m}[/tex]
For 6 months, we have:
[tex]\mathbf{f(6) = 75+ 30 \times 6}[/tex]
[tex]\mathbf{f(6) = 255}[/tex]
Hence, the expression that represents the situation is [tex]\mathbf{f(m) = 75+ 30m}[/tex], and the amount for 6 months of membership is $255
2. Madison's party
The given parameters are:
[tex]\mathbf{Cake = 18.50}[/tex]
[tex]\mathbf{Balloon = 20}[/tex]
[tex]\mathbf{Total = 63.50}[/tex]
Let n represent the cost of each balloon.
So, the equation is:
[tex]\mathbf{Cake + Balloon \times n = Total}[/tex]
This gives:
[tex]\mathbf{18.50 + 20 \times n = 63.50}[/tex]
Subtract 18.50 from both sides
[tex]\mathbf{ 20 \times n = 45}[/tex]
Divide both sides by 20
[tex]\mathbf{ n = 2.25}[/tex]
Hence, the expression that represents the situation is [tex]\mathbf{18.50 + 20 \times n = 63.50}[/tex], and the cost of each balloon is $2.25
Read more about linear equations at:
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Someone could help me with problem 3-76 (b) pls
Answer:
ok so you see the equation at the top... you are going to "plug in" the number in the "in" row to get the "out number
Step-by-step explanation:
example
in: 4
-2(-4)+1
8+1
9
so for the out row under -4 you would put 9
-2(-3)+1
6+1
7
so for the out row under 3 you would put 7
Answer:
...
Step-by-step explanation:
Given that (x-1) is a factor of p(x)=x^3+2x^2-x-2,factorize p(x) completely
Answer:
Step-by-step explanation:
When William had one cat, he needed to serve 1/8 of a can of cat food each day. Now that William has adopted a second cat, he needs to serve a total of 2 7/8 cans each day. How much extra food is needed to feed the second cat?
SOMEONE PLS HELP ME!!!
Answer:
refer to the picture attached for steps
Here is the problem: (Picture)
Answer:
c
Step-by-step explanation:
Where are the factors? The number of terms? Where are the constants? Where are the confficients
3x-5y+15
Answer:
given the expression 4x - 2y + z + 5 we see three terms of the expression: 4x, -2y, +z , 5.
Terms are made of two things, a coefficient and a variable.
coefficient variable
4 x
-2 y
+1 z
+5 no variable exists in this term so it is a special term called a constant.
Coefficients can be +/-, fractions, decimals, whole numbers, etc.
In equations the coefficient is often shown as a letter such as
ax + by + 3.
This means (a times x) plus (b times y) plus 3
fractional coefficients looks like this example: x/4 + y/2 - z/3
the coefficient for x is 1/4, the coefficient for y is 1/2 and the coefficient for z is -1/3Step-by-step explanation:
solving linear systems graphically .
Answer:
D- points on one side of one of the lines
Step-by-step explanation:
I may be wrong but I believe I am correct
Help again pls I think it’s D and A or am I wrong some one pls tell me thank you
I HAVE A SEMICIRCLE WITH A DIAMETER 16cm. How do I find the perimeter of the SEMICIRCLE
Answer:
Perimeter of Semicircle
The perimeter of a semicircle is the sum of the half of the circumference of the circle and diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.21-Oct-202
Answer:
Perimeter is 41.1327 centimeters
Step-by-step explanation:
The perimeter of a semi-circle is the circumference of the full circle plus the length of the diameter.
To find the circumference of a circle, just multiply the diameter by pi:
[tex]c=\pi\times d\\c=\pi\times 16\\c=50.2655[/tex]
Now, add the diameter to half of it:
[tex]p=\frac{c}{2}+d\\p=\frac{50.2655}{2}+16\\p=25.1327+16\\p=41.1327[/tex]
the bill from your electrician was $198. he worked for 3 hours. the cost for materials was $33. how much did the electrician charge you per hour
Answer:
Answer is 66
Step-by-step explanation:
divide 198 by 3 and you get 66
Hope this helps!
find equation of a line containing (3,-4) and having a slope of -2. if this line contains the points(a, 8) and (5,b) find a and b
i will give brainlest for the best answers with best explanation
Answer:
a = - 3, b = - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute (3, - 4 ) into the partial equation
- 4 = - 6 + c ⇒ c = - 4 + 6 = 2
y = - 2x + 2 ← equation of line
------------------------------------------------------------------
Substitute (a, 8 ) into the equation and solve for a
8 = - 2a + 2 ( subtract 2 from both sides )
6 = - 2a ( divide both sides by - 2 )
- 3 = a
Substitute (5, b ) into the equation and solve for b
b = - 2(5) + 2 = - 10 + 2 = - 8
70% of Hassan's collection of goldfish died. if he has 60 survivors, how many did he have originally?
Hassan originally had 200 goldfish
Step-by-step explanation:
Multiply 60 by 100, which will get you 6,000, then divide by 30 to get 200. The 100 is for the total percentage, the 30 is the percentage left.
Answer:
200goldfish
Step-by-step explanation:
since 30percent(100_70)is60 what about 100percent
100percent/30percent multiplied by 60goldfish=200
Therefore the answer is 200goldfish
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST THANKS
Answer:
1
Step-by-step explanation:
it means from Virginia to Florida you will drive more than 7 hours
Shawn has 325 dollars if shawn uses only hundreds tens and ones write the number of each kind of bill that shawn has NEEDS TO BE ANSWERED ASAP
Answer:
3 hundreds, 2 tens, 5 ones
Can someone help me with 1. ?
Harmony used discarded paper to make notepads for her friends she folded 5 letter size pieces of paper 3 times then cut along the lines then she would stack the smaller note papers and staple them together how long one notepad last if someone wrote 10 notes per day
Answer:
Answer is 5
Step-by-step explanation:
I don't what the problem is ;-; not sure
5x3-x=10
The Batpod and The Falcon Cycle are traveling down the
highway. That Batpod can travel at a speed of 4 miles
per minute; while the Falcon Cycle can double that at a
speed of 8 miles per minute. If Falcon gives Batman a 6
minute head start. How long will Batman have traveled
before Falcon catches him?
I need help so I can turn in my Packet?!?!?
Answer:
3/2 minutes or 1.5 minutes
Step-by-step explanation:
We want to know when the two following equations will be equal, so we can set them equal to each other
(x = time passed)
Falcon
\/
8x = 4x + 6
/\
Batman
8x = 4x + 6 -> 4x = 6 -> x = 6/4 -> x = 3/2
We can also graph it, see attatched
Have a nice day! - also, lol, the different car names
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Are the ratios 17:10 and 2:1 equivalent?
Answer:
No, they don't have the same valueStep-by-step explanation:
Are the ratios 17:10 and 2:1 equivalent?
17 : 10 = 1.7
2:1 = 2
The average bedroom is an apartment is approximately 16x10
Answer:
Bro what to find with this
Answer:
which would mean it would have the area of 160 square feet
Step-by-step explanation: