Answers
Answer:
see explanation
Step-by-step explanation:
Parallel lines have equal slopes.
To find D and E use the midpoint formula
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(2, - 2) , then
D = ([tex]\frac{4+2}{2}[/tex], [tex]\frac{6-2}{2}[/tex] ) = (3, 2 ) and
let (x₁, y₁ ) = B(2, - 2[tex]\frac{-4+2}{-2-2}[/tex] ) and (x₂, y₂ ) = C(- 2, - 4 ), then
E = ( [tex]\frac{4-2}{2}[/tex], [tex]\frac{6-4}{2}[/tex] ) = (1, 1 )
Use the slope formula to find slopes of DE and BC
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = D(3, 2) and (x₂, y₂ ) = E(1, 1), then
[tex]m_{DE}[/tex] = [tex]\frac{1-2}{1-3}[/tex] = [tex]\frac{-1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]
Repeat with (x₁, y₁ ) = B(2, - 2) and (x₂, y₂ ) = C(- 2, - 4), then
[tex]m_{BC}[/tex] = [tex]\frac{-4+2}{-2-2}[/tex] = [tex]\frac{-2}{-4}[/tex] = [tex]\frac{1}{2}[/tex]
Since the slopes are equal then DE and BC are parallel lines
I know he anwsered it but I really want to level up so can you please give me Brainliest
Related Questions
How do you factor 3х2-8x?
Answers
Answer: 6-8x
Step-by-step explanation:
pls help find the inequality represented by the graph
Answers
Answer:
use the linear equation of a line
equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
now u do the rest
For a party, Samantha bought eight half gallon bottles of soda. About how many cups of soda did Samantha buy?
A) 64
B) 128
C) 8
D) 4
Answers
Answer:
Step-by-step explanation:
a
Answer:
your answer is A 64
Step-by-step explanation:
there is 16 cups in a gallon so half a gallon is 8 cups 8x8 is 64
how do you calculate the area and perimeter of a slope triangle?
Answers
Answer:
How you find the area of a triangle is by, multiplying two of the sides together then multiplying that by 1/2 or .5 . To find the perimeter of the triangle add all the three sides together!
Step-by-step explanation:
Lauren is working two summer jobs, making $11 per hour washing cars and $6 per hour walking dogs. Lauren must earn no less than $120 this week. Write an inequality that would represent the possible values for the number of hours washing cars, w, and the number of hours walking dogs, d, that Lauren can work in a given week
Answers
Answer:
11w + 6g ≥ 120
Step-by-step explanation:
Let's set:
w = number of hours Lauren spent washing cars
d = number of hours Lauren spent walking dogs
Lauren makes $11 per hour washing cars, thus she earns 11w in total for washing cars.
Lauren makes $6 per hour walking dogs, thus she earns 6d in total for walking dogs.
The total earnings are:
T = 11w + 6g
Lauren must earn not less than $120 this week, thus:
11w + 6g ≥ 120
This is the required inequality
Answer:
11w+6d≥120
Step-by-step explanation:
this is straghit from my delt math so it has to be right
Can u guys help with this
Answers
Answer:
Turkey Trot
Pumpkin Pie
Family Dinner
Mashed Potatoes
Football
Wish bone
Carve the Turkey
Green Beans
Cornucopia
Black Friday Shopping
Thanks Giving
Table Clothes
November
Drumsticks
Thanksgiving Parade band
Please Consider Brainliest! Hope I helped!
Jesse wants to buy a guitar that cost $2000 however he cannot afford the full payment and in order to take you home he needs to leave a 12% down payment how much does Jessie need to pay to take the guitar home
Answers
Answer:
$240Step-by-step explanation:
Step one:
given data
we are told that the cost of the guitar is $2000
and that 12% of the cost must be paid for Jesse to take the guitar home.
Hence we aim to know what 12% of $2000 is
Step two:
The expression is
=12/100*2000
=0.12*2000
=240
This means that Jesse must pay $240 before he can take the guitar home
I need help with #18 & 20 ASAP!!!!!!!
Please explain so I can understand
Answers
So, you would just subtract the 3 from the 5 and then your answer would be -3X+4Y=2
A regression line has a slope of 2.334. If the mean of the x-coordinates of the data points is 6.607, and the mean of the y-coordinates is 10.738, what is the y-value of the y-intercept of the line to three decimal places?
Answers
Answer:
- 4.683
Step-by-step explanation:
Given that:
Slope of regression line = 2.334
Mean of x coordinate = 6.607
Mean of y coordinate = 10.738
Y value of the y intercept of the line :
The value of the intercept can be obtained using the the relation :
Mean of y coordinate - slope(mean of x coordinate)
Ybar - slope(xbar)
10.738 - 2.334(6.607)
= −4.682738
= - 4.683 ( 3 decimal places)
Hence, intercept = - 4.683
Answer:
- 4.683
Step-by-step explanation:
Item 1
Order the numbers from least to greatest.
−3/4, 0.5, 2/3,−7/3, 1.2
Answers
Answer:
-7/3, -3/4, .5, 2/3, 1.2
Step-by-step explanation:
negatives are always the least number
Answer:
-7/3, -3/4, 0.5, 2/3, 1.2
Hope this helps! Sorry if it's wrong!
i need help on this question about slope
Answers
(0,-2)
slope= -2-0/0-(-2)
slope=-2/2
slope=-1
What is the nature of the solution set to the following system of equations?
5x - y = 2
2x -0.5y = 3
O One solution at (-4,-4)
O Infinitely many solutions
O One solution at (-4,-22)
ONo solutions
Answers
Answer:
One solution at (-4, -22)
Step-by-step explanation:
5x - y = 2
y = 5x - 2 --(1)
2x - 0.5y = 3 --(2)
sub (1) into (2):
2x - 0.5(5x - 2) = 3
2x - 2.5x + 1 = 3
-0.5x = 2
x = -4
when x = -4, y = 5(-4) - 2 = -22
The nature of the solution set to the system of equations are,
⇒ One solution at (-4,-22).
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The system of equations are,
5x - y = 2 .. (i)
2x - 0.5y = 3 .. (ii)
Now, We can simplify as;
From (i);
5x - y = 2
y = 5x - 2
Put above value in (ii);
2x - 0.5 (5x -2) = 3
2x - 2.5x + 1 = 3
- 0.5x = 2
x = - 4
From (i);
y = 5 × - 4 - 2
y = - 20 - 2
y = - 22
Thus, The nature of the solution set to the system of equations are,
⇒ One solution at (-4,-22).
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7
Graham has enough fencing to enclose a rectangular garden with a perimeter of 140 feet. If the width of his garden is 20 feet less than the length, what is the width of the garden?
Answers
Answer:
Width = 25 feet
Step-by-step explanation:
Perimeter of a rectangle = 2L + 2W
W = L - 20
P = 140
Hence,
140 = 2L + 2(L - 20)
140 = 2L + 2L - 40
Collect like terms
140 + 40 = 4L
180 = 4L
L = 180/40
L = 45 feet
Length = 45 feet
Width = L - 20 feet
=( 45 - 20) feet
= 25 feet
Of the 50 U.S. states, 4 have names that start with the letter W.
What percentage of U.S. states have names that start with the letter W?
Answers
Answer:
0.08 percent
Step-by-step explanation:
Answer:
0.08%
Step-by-step explanation:
i just did 4/50. i know this works because i use it to find my grade percentages.
The figures below are similar. Find the length of the missing side.
7
91
91
11
7
х
4
52
X=
Answers
Answer:
63 is this right?
Step-by-step explanation:
10 x 9 = 90
so 7 x 9 = 63
+Given: AB ≅ AD and AB≅ AD AC≅ BD. Prove △BAE≅△DAE.
Answers
Answer:
Step-by-step explanation:
Given:
AB ≅ AD
AC ⊥ BD
To Prove:
ΔBAE ≅ ΔDAE
Statements Reasons
1). AB ≅ AD and AC ⊥ BD 1). Given
2). AE ≅ AE 2). Reflexive property
3). ΔBAE ≅ ΔDAE 3). HL postulate of congruence
-x + 1 = x + 21
solve for x
I need this asap
Answers
Answer:
x = -10
Step-by-step explanation:
-x + 1 = x + 21
(given)
__________
-x + 1 = x + 21
+x +x
(addition property of equality)
(add the x term on both sides to cancel out -x)
__________
1 = 2x + 21
-21 -21
(subtraction property of equality)
(subtract by 21 on both sides to get rid of the constant term on the x side)
________
-20 = 2x
÷2 ÷2
(division property of equality)
(divide to get rid of the coefficient of 2 in the x term)
_______
-10 = x
(symmetric property of equality)
(switch both sides so that x is on the left)
_______
x = -10
________________________________
Proof by substitution:
x = -10 because
x = -10 → -x + 1 = x + 21 → -(x) + 1 = (x) + 21 → -(-10) + 1 = (-10) + 21 → 10 + 1 = 21 - 10 →
11 = 11
Answer:
x=10
Step-by-step explanation:
Put both of the x on one side, and the numbers on the other side (this breaks down the equation).
This is make it easier for you to add/substract/divide/multiply.
Anthony earned $131 in tips last night while working at the restaurant. If his tips
consisted of $1 bills and $5 bills only and he counted 47 bills in total, then how
many $5 bills did Anthony receive?
Answers
Given:
Total income form tips = $131
His tips consisted of $1 bills and $5 bills only.
Total number of bills = 47
To find:
The number of $5 bills.
Solution:
Let x be the number of $1 bills and y be the number of $5 bills.
Total bills : [tex]x+y=47[/tex] ...(i)
Total income : [tex]x+5y=131[/tex] ...(ii)
Subtract (ii) from (i), we get
[tex]x+5y-(x+y)=131-47[/tex]
[tex]x+5y-x-y=84[/tex]
[tex]4y=84[/tex]
[tex]y=21[/tex]
Therefore, the number of $5 bills is 21.
Identify three solutions of the inequality x < 1
Answers
Answer:
-1, -2, -3
Step-by-step explanation:
any number less than 1 will work
Answer:
-3, -4,-5
Step-by-step explanation:
< means less than. In this situation, you want x to be less than 1, so basically, any number under 1 is correct.
how do you fing the missing angle from a triangle
Answers
Answer
Law of Sines
Step-by-step explanation:
If you have all three side lengths, you can use law of sines.
side length a/sin of angle a=side length b/sin of angle b=side length c/sin of angle c
not sure if that makes sense but look up the law of sines!
A. What is the slope of the trend line?
B. What is the meaning of the slope in context of the problem?
C. What is the y-intercept?
D. What is the equation?
E. Predict how many words per minute Jaime would type after 11 weeks. Explain how you made your prediction.
Answers
Answer:
Slope is 4/9 The y intercept is where the line crosses on the Y line of the graph i think its 15 or something along those lines. I dont have enough time to answer the rest but i really hope somebody else does!!
Step-by-step explanation:
Vincente slept 5 more hours this past weekend than Dorinda. Dorinda only slept half as many hours this weekend as Sade.
1. Write an expression that shows how much Vincente slept in terms of Dorinda.
2. Write an expression that shows how much Dorinda slept in terms of Sade.
3. Write an expression that shows how much Sade slept in terms of Vincente.
Answers
Answer/Step-by-step explanation:
*An average person on Earth needs 8.5 hours of sleep each night*
1. V - 5 = D
2. D ÷ 2 = S
3. S + 5 = V
The average of your 3 quiz grades is 17 points. Two of your quiz grades are 14 points and 19 points. Write and solve an equation to find the score of your third quiz.
Answers
Answer:
The equation required is [tex]17=\frac{14+19+Grade \ of \ Quiz \ 3}{3}[/tex] and Grade of quiz 3 is 18
Step-by-step explanation:
We are given
Average of 3 quiz grades = 17
Grade of quiz 1 = 14
Grade of quiz 2 = 19
We need to find Grade of quiz 3
The formula used will be: [tex]Average \ of \ 3 \ quiz \ grades = \frac{Grade \ of \ Quiz \ 1+Grade \ of \ Quiz \ 2+Grade \ of \ Quiz \ 3}{3}[/tex]
Using formula and finding the grade of quiz 3
[tex]Average \ of \ 3 \ quiz \ grades = \frac{Grade \ of \ Quiz \ 1+Grade \ of \ Quiz \ 2+Grade \ of \ Quiz \ 3}{3}\\17=\frac{14+19+Grade \ of \ Quiz \ 3}{3} \\17*3=14+19+Grade \ of \ Quiz \ 3\\51=33+Grade \ of \ Quiz \ 3\\Grade \ of \ Quiz \ 3=51-33\\Grade \ of \ Quiz \ 3=18[/tex]
So, The equation required is [tex]17=\frac{14+19+Grade \ of \ Quiz \ 3}{3}[/tex] and Grade of quiz 3 is 18
In ARST, mZR = (11x + 3)º, mZS = (x + 15), and mZT = (2x + 8).
Find mZR
Answers
Answer:
124°
Step-by-step explanation:
(11x + 3)° + (x + 15)° + (2x + 8)° = 180°
14x + 26 = 180
14x = 154
x = 11
m∠R = [11(11) + 3]° = 124°
f(x) = 2x + 1
h(x) = one-halfx – one-half
h(x) = one-halfx + one-half
h(x) = one-halfx – 2
h(x) = one-halfx + 2
Answers
can Someone help me
Answers
Answer:
B
Step-by-step explanation:
A gym all machine contains 23 green gum balls, 52 red gum balls, 34 blue gum balls, 61 yellow gum balls, and 30 pink gum balls.
What percent of the gum balls are red
Answers
Answer:
26%
Step-by-step explanation:
total gum balls 200
52/200 = x/100
52×100=5200
5200÷200=26
What is the domain and the range for this graph
Answers
Answer:
Domain:(0,infinite)
Range:(5,infinite)
Step-by-step explanation:
Answer:
D = 0, 1, 2, 3, 4, 5
R = 20, 40, 80, 160
I need to know 9 and 10
Answers
Answer:
x=36°
y=144°
Step-by-step explanation:
y is the corresponding angle of angle 144° and since corresponding angles are always congruent y=144°
x is the same side interior angle of angle 144° and since same side interior angles are also supplementary angles that add up to 180° x=36°
180°-144°=36°
hopefully this helps :)
An arts academy requires there to be teachers for every students and for every . How many students does the academy have per teacher? Per tutor? How many
Answers
This question is incomplete
Complete Question
An arts academy requires there to be 6 teachers for every 132 students and 4 tutors for every 44 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 132 students?
Answer:
a)How many students does the academy have per teacher?
22 students per teacher
b) Per tutor?
11 students per tutor
c) How many tutors does the academy need if it has 132 students?
12 tutors
Step-by-step explanation:
a)How many students does the academy have per teacher?
6 teachers = 132 students
1 teacher = x
6 × x = 132 × 1
x = 132 × 1/6
x = 22 students
Hence, we have 22 students per tutor
b) Per tutor?
4 tutors = 44 students
1 tutor = x students
Cross Multiply
4 × x = 1 × 44
x = 44/4
x = 11 students
Hence, we have 11 students per tutor
c) How many tutors does the academy need if it has 132 students?
44 students = 4 tutors
132 students = x tutors
Cross Multiply
44 × x = 132 × 4
44x = 132 × 4
x = 132 × 4/44
x = 12 tutors
The academy needs 12 tutors if they have 132 students.