Answer:
y=65x+30
Step-by-step explanation:
Using y=mx+b, we see that they need 65 dollars per hour, and since x represents the # of hours, we put 65 there as our "slope." Then 30 is the starting amount, or our y-intercept
unit 5 relationships in triangles homework 1 triangle midsegments
Based on the definition of a parallel line and the Midsegment Theorem the following are the right answers:
1. a.) BD║AE
b.) BF ║CE
c.) DF║CA
2. a.) YZ║RT
b.) RS ║XZ
c.) XY║TS
3. a.) FH = 24
b.) JL = 74
c.) KJ = 60
d.) FJ = 30
4. a.) AE = 26
b.) AN = 58
c.) CT = 21.5
d.) Perimeter of ΔAEN = 127
5. x = 15
6. x = 6
What are Parallel lines?Parallel lines coplanar straight lines that do not meet each other and are equal distance from each other.
The Triangle Midsegment TheoremA midsegment is a line that connects the midpoints of the two sides of a triangle together. Every triangle three midsegments.Based on the Midsegment Theorem of a triangle, the third side of a triangle is always parallel to the midsegment, and thus, the third side is twice the size of the midsegment. In order words, length of midsegment = ½(length of third side).Applying the definition of a parallel line and the Midsegment Theorem the following can be solved as shown below:
1. The pairs of parallel lines in ΔAEC (i.e. the midsegment is parallel to the third side) are:
a.) BD║AE
b.) BF ║CE
c.) DF║CA
2. The segment parallel to the given segments are:
a.) YZ║RT
b.) RS ║XZ
c.) XY║TS
3. Given:
FG = 37; KL = 48; GH = 30
a.) FH = ½(KL)
SubstituteFH = ½(48)
FH = 24
b.) JL = 2(FG)
SubstituteJL = 2(37)
JL = 74
c.) KJ = 2(GH)
SubstituteKJ = 2(30)
KJ = 60
d.) FJ = ½(KJ)
SubstituteFJ = ½(60)
FJ = 30
4. Given:
PT = 13
EN = 43
CP = 29
a.) AE = 2(PT)
SubstituteAE = 2(13)
AE = 26
b.) AN = 2(CP)
SubstituteAN = 2(29)
AN = 58
c.) CT = ½(EN)
SubstituteCT = ½(43)
CT = 21.5
d.) Perimeter of ΔAEN = EN + AN + AE
SubstitutePerimeter of ΔAEN = 43 + 58 + 26
Perimeter of ΔAEN = 127
5. 10x + 44 = 2(8x - 23) (midsegment theorem)
10x + 44 = 16x - 46
Add like terms together10x - 16x = -44 - 46
-6x = -90
Divide both sides by -6
x = 15
6. 19x - 28 = 2(6x + 7) (midsegment theorem)
19x - 28 = 12x + 14
Add like terms together19x - 12x = 28 + 14
7x = 42
Divide both sides by 7x = 6
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A triangle has side lengths 7, 17, and x. Fill in the inequality for the possible
lengths of x below.
Answer:
9 < x < 25
Step-by-step explanation:
there is a drawing with students name in a bag. there are 13 girls and 12 boys.what is the probability of drawing a girl's name and then a boys if the tickets are not put back in the bag?
Answer:
13 in12
Step-by-step explanation:
If f(x) = x4 – 4x3 + 1, then what is the remainder when f(x) is divided by
X - 6?
Reminder = f ( 6 )
Thus :
[tex]f(6) = {6}^{4 } - 4( {6})^{3} + 1[/tex]
[tex]f(6) = 1296 - 864 + 1[/tex]
[tex]f(6) = 433[/tex]
Thus ;
[tex]remider = 433[/tex]
pls answer quickly But the answer
which of the following measurement is the smallest?
A) kilogram
B) Gram
C) centigram
D) milligram
Answer: Milligram is the smallest
Step-by-step explanation:
please help only answer if you're sure it right
(B)
is my answer..........
Answer:
I think b is correct answer
Step-by-step explanation:
is correct answer
Charisse collects antique salt and pepper shakers. The value of her cactus salt and pepper shakers is shown (56.28$). The value of these salt and pepper is expected to change by an average of -2 2 over 5% per year. What is the value of the salt and pepper shakers projected to be in two years? | Can I get explanation too thanks!
Answer:
$53.61
Step-by-step explanation:
It looks like the rate of change is supposed to be -2 2/5% = -2.4% per year. That means the "growth factor" is ...
growth factor = 1 + growth rate
growth factor = 1 -2.4% = 1 -0.024 = 0.976
Each year, Charisse's cactus salt and pepper shakers will have their value multiplied by this factor. After 2 years, their value will be ...
($56.28)(0.976)(0.976) = $56.28×0.976^2 ≈ $53.61
The value is projected to be $53.61 in 2 years.
What is 3 divided by 7 pretty confused since I was on break for a long time
Answer:
3 divide 7 is 0.4285714285714286 but 7 divide 3 is 2.33 (Never ending)
Answer:
It’s a decimal, (0.42857142857)
Step-by-step explanation:
I need help long dividing this equation.
(x^2 - x +5) / (x + 1)
I already know the answer however I’m having a bit of trouble understanding how to get to it. At the second to last operation you come to,
- x^2 + 4x
- x^2 - x
= 5x
I’m having trouble understanding how you get 5x from that? Someone please help!
First, we'll look at the first term of each expression.
---x times what is equal to x^3? = x times x^2 = x^3
So, we'll multiply everything in the divisor by x^2 and subtract that from the dividend.
x^2(x + 1) = x^3 + x^2
(x^3 + 4x + 5) - (x^3 + x^2)
x^3 - x^3 = 0
0 - x^2 = -x^2
4x - 0 = 4x
5 - 0 = 5
Our new expression is -x^2 + 4x + 5.
So we again ask ourselves, x times what is equal to -x^2? = -x
-x(x + 1) = -x^2 - x
And subtract!
(-x^2 + 4x + 5) - (-x^2 - x)
-x^2 - - x^2 = -x^2 + x^2 = 0
4x - - x = 4x + x = 5x
5 - 0 = 5
Our new expression is 5x + 5. Let's ask ourselves once again, x times what is equal to 5x? = 5.
Multiply, then subtract!
5(x + 1) = 5x + 1
(5x + 1) - (5x + 1) = 0
Now that we have nothing left to divide, let's go back and get our answer.
x^2 - x + 5
Notice that when I was dividing, I always looked at the first term of the dividend (as the expression changed) and divisor. Whatever comes after the first term doesn't matter at the time.
Hope this helps and if you have any further questions, please let me know! :)
Answer:
Step-by-step explanation:
x - 2 <--- quotient
x + 1) x^2 - x + 5 First divide x^2 by x giving x then multiply x + 1 by x:
x^2 + x Now subtract x^2 + x from x^2 - x and bring down +5:
-2x + 5 Now divide -2x by x to get -2 and multiply X+1 by -2 -2x - 2 Subtract:
7
The result is x - 2 (see above) remainder 7
or you could write it as
x - 2 + 7/(x + 1)
To solve 5x + 2 = 1/125, you would first:
The solution of the given equation5x + 2 = 1/125 would be equal to -229/625.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
The solution of the given equation is
[tex]5x + 2 = 1/125\\5x = 1/125-2\\5x = -249/125\\x= -249/625[/tex]
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Simplify the expression. Explain each step 7(4y)
Answer: 28 y
Step-by-step explanation: All you really have to do is multiply 7 by 4y. 7(4y) 28y
What is the probability of getting a number less than 4 and then roiling a 4?
well there is -4 which is the oppsite of positive 4 if that what you ment
Yuki bought a pound of confetti for \$12$12dollar sign, 12. What is the price, in dollars, per ounce of confetti
Jessie has $120 saved and earns $40 each month in
allowance. Peter has $180 saved and earns $20 a month
in allowance. If they both save their entire allowances,
how long will it take before Jessie and Peter have saved
the same amount of money?
Answer:
3 months
Step-by-step explanation:
Jessie starts with $120 and get $40 a month
peter has $180 and get $20 a month
1 month passed Jessie now has $160 and Peter has $200
2 months passed Jessie now has $200 and Peter has $220
3 months passed Jessie now has $240 and Peter has $240
if 5(2x-1)=35,then x=
Answer:
x=4
Step-by-step explanation:
5(2x - 1) = 35
Should expand so....
10x - 5 = 35
10x = 40
x = 4
Answer:
x=4
Step-by-step explanation:
distribute the 5: 10x-5=35
add 5 to both sides: 10x=40
divide both sides by 10: x=4
Help please (MATH)......................
Answer:
ft hu hu mmmmmmmmmuaaaaaaaaaaaaaah
2. Approximate e?. Round your answer to the nearest tenth
Answer:
1096.6
Step-by-step explanation:
The answer would be 1096.63316, but since you are rounding to the nearest tenth, then your answer would be 1096.6.
Answer:
1096.6.
Step-by-step explanation:
e = about 2.7
2.7^7is about 1046
Will's Burger Place made 29 burgers. 18 of the burgers had onions. What is the ratio of the number of burgers without onions to the total number of burgers?
Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.
Answer:
11:18
Step-by-step explanation:
Hope this helped!
I’m a right or nah.
Helppp
Answer:
You are right
Step-by-step explanation:
It starts at zero and goes up. (Positive slope)
How can you tell from the equations, without graphing, how many solutions the system has?
Answer:
A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.Step-by-step explanation:
Hope this helps !!HELP ME PLEASE
WHAT IS THE VALUE OF X ?
Answer:
Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X
Step-by-step explanation:
Help please
complete the missing information to write a subtraction problem for each number line.
Answer:
-0.8 (A) -2.25 (B) -2 (C) (Look at explanation to see answers for first bubbles.)
Step-by-step explanation:
A:
1.4 - 2.2 = -0.8
B:
-0.75 - 1.5 = -2.25
C:
-0.2 - 1.8 = -2
Answer:
A. 1.4 - (-0.8) = 2.2
B. -0.75 - (-2.25) = 1.5
C. -0.2 - (1.6) = -1.8
Step-by-step explanation:
i just took the test on edge, and got it right (pls mark me as brainliest)
In square GEOM, the coordinates of G are (-3, 2) and the coordinates of O are (1, -2). Determine and state the coordinates of vertices E and M.
Answer:
E is (1, 2) and M is (-3,-2),
Step-by-step explanation:
G and O are diagonally opposite points.
E is the image of O in the x axis and M is the image of G in the x axis.
E which is adjacent to M and will have y-coordinate of 2 and x -coordinate 1.
M will have x coordinate same as G which is -3 and y coordinate is -2.
The coordinates of E are (1, 2) and coordinates of M are (-3,-2),
What are Coordinates?The coordinates of a point are referred as (x, y), where x represents the position of the point with reference to the x-axis, and y represents the position of the point with reference to the y-axis.
Here, G and O are diagonally opposite points.
E is the image of O in the x-axis and M is the image of G in the x axis.
E which is adjacent to M and will have y-coordinate of 2 and x -coordinate 1.
M will have x coordinate same as G which is -3 and y coordinate is -2.
Thus, the coordinates of E are (1, 2) and coordinates of M are (-3,-2),
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2. A group of 40 subjects was divided into two groups with one group given an energy drink and one group
given water. The subjects were then given a spelling test and
the mean number of words correctly spelled was
recorded for each member of the two groups. This experiment was designed this way to quantify which of the
following types of variability?
(1) natural
(3) induced
(2) sampling
(4) measurement
The design of the experiment was done to quantify induced variability.
What is induced variability?
Induced variability is when a variable that is not naturally present in the experiment is introduced into the experiment in order to test the response of respondents to the variable introduced. The artificial variable that was introduced into the experiment was energy drinks.
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a. Four friends each bought a ticket and a bag of popcorn. How
much total money did they spend?
Answer:
TICKET = $8.50POPCORN =$5.25Total money did they spent :- $8.50 + $5.25 = $13.75Step-by-step explanation:
Hope this helps you !!for example :
ticket = $5popcorn = $3each person spends = $(5+3)
=$8
four people = 8 × 4 = $32
hope it helps...!!!
4) Eric bought a canoe for $333.75. He bought a life vest for $134.87 and an ore paddle for $67.89
The sales tax was 5.25%. What was his total cost?
Answer:
His total cost is $564.68
Step-by-step explanation:
333.75 + 134.87 + 67.89 = 536.51
536.51 x 0.0525 = 28.17
536.51 + 28.17 = 564.68
What is the sum of -6 and 9?
Answer:
3
Step-by-step explanation:
-6+9=3
The Finish Line paid Converse $24 for a new pair of basketball shoes. If the store sells the shoes for $48, what is the percent mark-up (increase)?
Answer:
Answer:Total revenue at breakeven is $1,508,042 Explanation:Breakeven point in units = Fixed cost / Selling price -Variable cost per unit Breakeven, and now i think u get it u can do alone! Hope i help you❤️!
I need help, the solid below is made from cubes find it volume
Answer:
[tex][tex]\purple{\rule{45pt}{7pt}}\purple{\rule{45pt}{999999pt}}[tex][/tex]
Answer:
40cm
Step-by-step explanation:
Volume is LxWxH. The length is 2cm, the width is 5cm, and the height is 4cm, you can find these values by counting each block as a cm. Then you multiply all the values, (2x4x5) and you get 40.
Which point is located in Quadrant III ?
(−1/2, 1/4)
(1/2, −1/4)
(−1/2, −1/4)
I will give you brainliest if you are right
Answer:
here you go :)
Quadrant lll is always both negative so the answer is (-1/2, -1/4)
Step-by-step explanation:
