Answer:
Step-by-step explanation:
∠AEB + ∠FEC = 180 {linear pair}
∠AEB = 180 - 4x
DE // AB , AE is transversal,
∠EAB = ∠DEA {Alternate interior angles}
∠EAB = 2x
∠EBC = ∠AEB + ∠EAB {Exterior angle property}
6x = 180 - 4x + 2x
6x = 180 - 2x
Add 2x to both sides
6x + 2x = 180
8x = 180
x = 180/8
x = 22.5
8
Drag and drop the correct angle measures onto the diagram:
DRAG & DROP THE ANSWER
60
65
120
120
115
7
65
Answer:
Step-by-step explanation:
The Lone Star Shipping Company charges $14 plus $2 per pound to ship an overnight package. Discount Shipping Company charges $20 plus $1.50 per pound to ship an overnight package. What is the point where these two companies will be the same amount and what does it mean?
Answer:
each company will earn $38 when they ship a 12-pound package
Step-by-step explanation:
you can solve this algebraically by setting up two equations:
let 'c' = charges per pound
Lone Star: y = 2c + 14
Discount: y = 1.5c + 20
now set each equation equal to the other to solve for 'c':
2c + 14 = 1.5c + 20
subtract 14 from each side to get:
2c = 1.5c + 6
subtract 1.5c from each side to get:
0.5c = 6
c = 6/0.5
c = 12
if you plug 12 in for 'c' in each equation you will get y = 38
(12,38) is the point where these two companies would each earn $38 for shipping a 12-pound package
I need the answer FAST
Answer:
x = -9, 4
Step-by-step explanation:
The sides are marked congruent, so you have ...
x^2 +5x = 36
Subtracting 36 puts this in standard form:
x^2 +5x -36 = 0
To factor this, you need to find factors of -36 that have a sum of 5.
-36 = (-1)(36) = (-2)(18) = (-3)(12) = (-4)(9) = (-6)(6)
The sums of these factor pairs are 35, 16, 9, 5, 0.
The pair with a sum of 5 is (-4)(9), so the factorization of the quadratic is ...
(x -4)(x +9) = 0
The solutions are the values of x that make the factors zero:
x = 4, x = -9
Both of these solutions work in this problem.
Help me guys, please and thank u
Answer:
¡¡ Only
Step-by-step explanation:
-8-2x < - 4
-2x < - 4+8
-2x < 4
x > - 2
through: (5, 4), slope = undefined
write the slope intercept
Answer:
Step-by-step explanation:
An "undefined slope" is a vertical line going through the x axis at 5. The slope is undefined since there is no change in x for all values of y. The means the slope, which is the change in y divided by the change in x, would be a fraction with a zero denominator. This makes it undefined.
One value of x, in this case x=5, will include all possible values of y. There is no y-intercept, but the line has an x-intercept of 5.
y=x^(2)-8x+15 write in intercept form
Find the missing side K
K
53
45
Answer:
k=28
Step-by-step explanation:
How would you write 262 × 3 in addition form?
600 + 18 + 6
600 + 180 + 6
618 + 6
600 + 180 + 6 × 3
Answer:
262x3=768 so you need to find which answer equals 786 in addition form.
option a is equal to 624
option b is equal to 786
option c is equal to 624
option d is equal to 2358
your answer would be option b.
Step-by-step explanation:
hope this helps
Greg builds a pond which is volume 7.35m. it is 4.2m long.What is the width of the pond?
Answer:1.75m
Step-by-step explanation:
find x.
please i need help!!
Step-by-step explanation:
sin45°=x/4√2
=> 1/√2 = x/4√2
=> x= 4√2/√2
=>x= 4.
hope this helps you.
The question is an illustration of right-angled triangles
The value of x is (b) 4
To calculate the value of x, we make use of the following sine ratio
[tex]\sin(45) = \frac{x}{4\sqrt 2}[/tex]
Multiply both sides of the equation by [tex]4\sqrt 2[/tex], to make x the subject of the formula
[tex]x = \sin(45) \times 4\sqrt 2[/tex]
Evaluate sin(45)
[tex]x = \frac{1}{\sqrt 2} \times 4\sqrt 2[/tex]
Cancel out the common factors
[tex]x = 4[/tex]
Hence, the value of x is (b) 4
Read more about right-angled triangles at:
https://brainly.com/question/16195823
Draw and label a figure to represent the congruent triangles. Then find x and y.
please draw and label!! i will give brainliest.
Answer:
y = 6; x = 12
Step-by-step explanation:
If the triangles are congruent , then their sides are corresponding.
AB ≅DE DE≅ AC
7 = 2y - 5 3x - 13 = 11 + x
7 + 5 = 2y 3x - x -13 = 11
12 = 2y 2x - 13 = 11
6 = y 2x = 11 + 13
2x = 24
x = 12
AB=DE
[tex]\\ \sf\longmapsto 2y-5=7[/tex]
[tex]\\ \sf\longmapsto 2y=12[/tex]
[tex]\\ \sf\longmapsto y=6[/tex]
DF=AC.[tex]\\ \sf\longmapsto 11+x=3x-13[/tex]
[tex]\\ \sf\longmapsto 2x=24[/tex]
[tex]\\ \sf\longmapsto x=12[/tex]
AC=DF=23Diagram attached
write the equation of a line that passes through the points (5, -7) and is perpendicular to the line -2x + 6y = -4
Answer:
y= -3x + 8
Step-by-step explanation:
Put -2x + 6y = -4 into slope-interceltp form
Take the negative reciprocal of the slope.
Use this reciprocal in point-slope form
and you have,
= y= -3x + 8
(EDITED) Steps:
2x+6y = -4
6y=2x - 4
y= 1/3x + 2/3
if two lines are perpendicular,
m1 * m2 + -1
1/3 * m2 = -1
m2 = -3
the line perpendicular to this line is
y = -3x + k ; k ∈ R
the line passes through the point (5,-7)
so,
-7 = -3. (5) +k
-7 = -15 + k
k = 8
∴the equation of a line that passes through the point (5,-7) and is perpendicular to the line -2x+6y=-4 is
y= -3x + 8
Hope this helps, have a nice day/night! :D
A plane flies due south at 200 mph for 3 hours. If there is a wind of 25 mph blowing due
west during the entire flight, how far did the plane actually travel?
Answer:
just divide both of them
Answer:
525
Step-by-step explanation:
200-25=175. 175*3=525
Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28.
(correct the error below!)
first term =4
common difference =8
tenth term =4 +10(8) = 84
Answer: The tenth term is 76
=======================================================
Explanation:
We use this arithmetic sequence formula to get the nth term
[tex]a_n = a_1 + d(n-1)[/tex]
Plug in [tex]a_1 = 4, \ d = 8, \ n = 10[/tex] and you should get the following:
[tex]a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\[/tex]
The tenth term is 76
---------
We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.
[tex]\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}[/tex]
---------
In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in [tex]a_n = a_1 + d(n-1)[/tex] which shifts everything one spot to the left.
Enter the value of x that makes the equation 3x + 4 + 2x + 2 = -24
answer? and how would I answer this.
Answer:
x = -6
Step-by-step explanation:
Combine like terms.
5x + 6 = -24
Subtract 6 from both sides.
5x = -30
Divide by 5 on both sides.
x = -6
Follow Me:-
[tex]3x + 4 + 2x + 2 = - 24 \\ \\ = > 5x + 6 = - 24 \\ \\ = > 5x = - 24 - 6 \\ \\ = > 5x = - 30 \\ \\ = > x = \cancel \frac{ - 30}{5} \\ \\ = > x = - 6[/tex]
Hope This HelpsWrite the line (-5,-6) with slope 2/5 in point-slope form
Answer:
[tex]y+6=\frac{2}{5} (x+5).[/tex]
Step-by-step explanation:
1) the common form of the point-slope form is y-y₁=s(x-x₁), where s - the slope, (x₁;y₁) - the point belongs to the required line;
2) if s=2.5; x₁= -5; y₁= -6, then the required equation is:
y+6=2/5(x+5).
(C) c varies directly as a and inversely as b. If c= 15 when a = 18 and b = 40, find c when a = 36, and b = 25. = с
Answer:
c = 48
Step-by-step explanation:
Given c varies directly as a and inversely as b then the equation relating them is
c = [tex]\frac{ka}{b}[/tex] ← k is the constant of variation
To find k use the condition c = 15 when a = 18 and b = 40 , then
15 = [tex]\frac{18k}{40}[/tex] ( multiply both sides by 40 )
600 = 18k ( divide both sides by 18 )
[tex]\frac{600}{18}[/tex] = k
[tex]\frac{100}{3}[/tex] = k
c = [tex]\frac{100a}{3b}[/tex] ← equation of variation
When a = 36 and b = 25 , then
c = [tex]\frac{100(36)}{3(25)}[/tex] = [tex]\frac{3600}{75}[/tex] = 48
I need help plss!!!!!!!
Answer:
5/2
Step-by-step explanation:
are you the same dude I just answered or are two people taking the same test lol
c = x/y = 5/2
What is the slope of the line represented by the equation y = fx-3?
Х
5
-3
o
4
5
|s
4
5
O 3
Please helpppp!!!!
Answer:
it 3.5-9
Step-by-step explanation:
GEOMETRY HELP ME PLEASE ASAP
Right and equation of a line passing through the point (-6,-3) and perpendicular to line JK with J(-2,-7) and K(6,5)
Answer:
Find the slope that passes between the points.
(y₂ - y₁) / (x₂ - x₁)
J(-4, -5)
K(-6, 3)
(3 - (-5)) / (-6 - (-4))
(3 + 5) / (-6 + 4)
8 / -2
-4
Step-by-step explanation:
there
Can someone help me with this
Answer:
1. so the express of the shaded region would be
10x*6 which gives 60x the area of the whole thing subtract 2x*4 =8x
so 60x-8x
2.
the perimeter is 6*2 bc two sides so 12
and 10x *2 bc two sides 20
so 20x+12 would be the perimeter
solve pls brainliest
Answer:
$50.96
Step-by-step explanation:
300(1.04)^4
350.957568.......simplify
350.96.................round to nearest hundredth
350.96-300
50.96
please help me with this! :)
Answer: w x 7 + 6 x 7
Step-by-step explanation:
I really can't explain.
1/2 divided by 1/8 in simplest form
Will give brainliest and 5 star rating plus thanks plz help quickly
Answer:
maybe 4
Step-by-step explanation:
Answer:
So 1/2 divided by 1/8 in simplest form is 4
Step-by-step explanation:
[tex]\frac{1}{2}/\frac{1}{8}[/tex]
You use the rule of Keep Change Flip when dividing fractions
You keep the 1/2
Change the division sign to multiply
Flip 1/8 to 8/1
[tex]\frac{1}{2} * \frac{8}{1}[/tex]
Now you have to multiply [tex]\frac{1*8}{2*1} = \frac{8}{2}[/tex]
Simplify by factoring by 2 [tex]\frac{8}{2} = \frac{4}{1} =4[/tex]
Dan is buying turkey cutlets for $2.69 per pound. The package weighs 4 pounds, 8 ounces.
How much will the cutlets cost?
if I did it right then it's $32.38.
Classify the sample space as finite or infinite. If it is finite, write the sample space. If it is infinite, classify whether it is discrete or continuous.
A letter is randomly chosen from the alphabet.
Answer 1:
A. Infinite
B. Finite
Answer 2:
A. Discrete
B. Continuous
Answer:
Answer 1
Because the alphabet can end,it is not unlimited
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!4
Answer:
It's the 2nd graph
Step-by-step explanation:
Think about it. The large barrel weighs 25 pounds. There are 20 gallons of water. Now look at the graphs 1 more time.
The radius of a cycle wheel is 35 cm. Find the number of turns required to cover a distance of 1540 m
Answer:
1 I think can you make sure?
The school that Michael goes to is selling tickets to a dance. On the first day of ticket sales the school sold 3 staff tickets and 1 student ticket for a total of $38. The school took in $52 on the second day by selling 3 staff tickets and 2 student tickets. Find the price of a staff ticket and the price of a student ticket.
The price of a staff ticket and the price of a student ticket is $8 and $14
Given:
Day 1:
Number of staff tickets sold = 3
Number of students tickets sold = 1
Total revenue day 1 = $38
Day 2:
Number of staff tickets sold = 3
Number of students tickets sold = 2
Total revenue day 2 = $52
let
cost of staff tickets = x
cost of students tickets = y
The equation:
3x + y = 38 (1)
3x + y = 38 (1)3x + 2y = 52 (2)
subtract (1) from (2)
2y - y = 52 - 38
y = 14
substitute y = 14 into (1)
3x + y = 38 (1)
3x + 14 = 38
3x = 38 - 14
3x = 24
x = 24/3
x = 8
Therefore,
cost of staff tickets = x
= $8
cost of students tickets = y
= $14
Read more:
https://brainly.com/question/22940808
Help help help quickly
Answer:
x > 15
Step-by-step explanation:
first step is to subtract 9 from each side to get:
x/3 > 5
now multiply each side by 3 to get:
x > 15