Answers
See the attachment below, co-interior angles lie at the same side of the transversal, or the line that crosses between the two parallel lines.
So if you are finding the co-interior angle of ∠AGH, then it is ∠CHG.
They are also supplementary angles and will add up to 180°.
Related Questions
a weights m kg,b weight is 20 kg less than three times that of a. If their total weight is 100 kg. Find the weight of a
Answers
Answer:
30kg
Step-by-step explanation:
what we know is that 3a - 20kg is b. and if a + 3a -20kg = 100kg, it becomes algebra .
So, we move it over to the sides:
4a = 120kg
(here i moved -20kg to the 100kg and did the reverse. I also added the a's)
which means a = 120kg divided by 4
a = 30kg
Mohammad divide Rs 82000 into two parts such that the amounts at 5% per annum compound interest in 2 years and 3 years are equal respectively.How much amount does he divide?
Answers
Answer:
Rs 42000 and Rs 40000
Step-by-step explanation:
Given that Rs 82000 is divided into two parts.
Let the first part be Rs x which is compounded annually at the interest of 5% per annum for 2 years.
The rate of interest = 5%=0.05
The total amount after 2 years [tex]= x(1+0.05)^{2}\cdots(i)[/tex]
The other part is Rs 82000-x which is compounded annually at the interest of 5% per annum for 3 years.
The total amount after 3 years [tex]= (82000-x)(1+0.05)^{3}\cdots(ii)[/tex]
As both the amounts are equal, so from equation (i) and (ii)
[tex]x(1+0.05)^{2}=(82000-x)(1+0.05)^{3} \\\\x(1.05)^{2}=82000(1.05)^{3} -x(1.05)^{3} \\\\x(1.05^2+1.05^3)=82000\times 1.05^3 \\\\x(2.260125)=94925.25 \\\\x=94925.25/2.260125 \\\\[/tex]
x= 42000
And the other part = 82000-42000 = Rs 40000
Hence, he divides the money as
Rs 42000 at 5% per annum compound interest in 2 years and
Rs 40000 at 5% per annum compound interest in 3 years.
I really need help with I’ve been on this for a week now (right answer only) I’m giving brainliest.
Answers
Answer:
y+52=180(being co8nterior angle)
y=180_52
y=128
or,(6x+4)+52
6x=56
x=56÷6
x=9.333
A circular running track is mile long. Elena runs on 4 1 this track, completing each lap in of an hour. What is 20 Elena's running speed? Include the unit of measure.
Answers
Answer:
=3/4/1/20 miles per hr. =15 miles per hr.
Step-by-step explanation:
Speed equals distance and time
Solve each of the following equations
Answers
Answer:
a. x = 10
b. x = 3/5
c. x = 16
d. x = 21/32
Step-by-step explanation:
For all of these problems, it would be simpler to get rid of the fractions entirely and to do that you need to multiply each part of the equation by the least common denominator (LCD; the first a number or variable that both of the denominators can be divided evenly by((you get it by multiplying the denominators by that number/variable (8*1, 8*2,8*3, etc.) and stop until both denominators are the same)) of what you're adding in this case.Note that if the denominators that you're adding are the same then you just multiply everything by that.Also note that the LCD's do not replace the denominators pf the original equation! Simply multiply the numerators by the LCD and then solve the problem accordingly!a - 2x/3 + (x+3)/3 = 11
For this case, the least common denomimator is 3. Multiply everything by 3. This leaves 2x + x+3 = 33. Combine like terms. 3x+3 =33 Subtract 3 from 33, leaving 30 and finally divide 30 by 3x to get 10, your answer.b - 3/x + 6/x = 15
Multiply everything by x. This leaves 3 + 6 = 15x. Combine Like Terms so 9 = 15x. Divide 9 by 15, leaving x to be 9/15, or 3/5 when simplified (both 9 and 15 can be divided by 3).c - x/2 + x/8 = 10
In this case, the LCD is 16. So multiply everything by 16, leaving 16x/2 + 16x/8 = 160. Simplify, leaving 8x + 2x = 160. Combine like terms, so 10x = 160. Divide 160 by 10, leaving you with 16.d - 4/x + 5/4x = 8
The LCD isn't always going to be a number as seen here and in b, but they were the same as if it were a number. Here the LCD is 4x so multiply everything by 4x. This leaves you with 16x/x +20x/4x = 32x. Simplify accordingly, leaving you with 16 (x variables cancel) + 5 =32x. Simplify yet again, leaving 21 = 32x. Divide 21 by 32, leaving you with 21/32 as your answer (the answer can't be simplified further).Apologies for the long explanations--it's not something I do very well.
A water pump fills a swimming pool at a rate of 80
cubic feet per hour. A swimming pool measures 10
feet by 8 feet by 5 feet. How many hours will it take
the pump to fill the pool?
I know it’s really late at now or early in the morning but can someone plz help me on this plz
Answers
9514 1404 393
Answer:
5 hours
Step-by-step explanation:
The volume of the pool is ...
V = LWH
V = (10 ft)(8 ft)(5 ft) = 400 ft^3
At the given fill rate, the time it will take is ...
(400 ft^3)/(80 ft^3/h) = 5 h
It will take 5 hours for the pump to fill the pool.
Answer:
Im pretty sure the answer is 5 hours
Step-by-step explanation:
The capacity of swimming pool is
v = 10 ⋅ 8 ⋅ 5 = 400 cubic feet
The pump fills 80 cubic feet in 1 hour
Therefore, the pump will fill
400 cubic feet in 5 hours.
I need this fasttttt!!!!!
Answers
Answer:
+ + 1
Explanation:
B+A = A+B
1+() = <1
Find each missing angle measure
3=
4=
Answers
Answer:
<4 = 88
<3 = 92
Step-by-step explanation:
The sum of the angles of a triangle is 180
<4 + 45+ 47 = 180
<4 + 92 = 180
< 4 = 180-92
<4 = 88
We know the <3 and <4 form a line
<3 + <4 = 180
<3 + 88 = 180
< 3 = 180-88
<3 = 92
If AABC = ADEC,
LC = 55°, ZD = 65°, and ZB = 2x
D
С
В B.
x = [?]
Answers
Answer:
x = 30
Step-by-step explanation:
65 + 55 = 120
angle B must equal 60
angle B is labeled as 2x
set up equation to solve for 'x': 2x = 60
x = 30
add up all angles to make sure you get 180 degrees
Mean of three numbers is 0 then what is mean of their cubes
Answers
Answer:
[tex]\frac{x^3+y^3+z^3}{3} =0[/tex]
Step-by-step explanation:
From the question we are told that
mean of three numbers is zero
Generally mean refers to average of number
Let
x, y, z be the three numbers with a mean of zero
T the mean of there cubes
Mathematically the mean of these three numbers is given as
[tex]\frac{x+y+z}{3} =0[/tex]
[tex]x+y+z =0[/tex]
and there cubes
[tex]\frac{x^3+y^3+z^3}{3} =T[/tex]
[tex]x^3+y^3+z^3=3T[/tex]
Mathematically solving the above equations by substitution method
[tex]x+y+z =0......1[/tex]
[tex]x^3+y^3+z^3=3T ......2[/tex]
[tex]x=-y-z ...3[/tex]
equating 3 in 2
[tex]-y^3-z^3+y^3+z^3=3T ..... 4\\3T=0[/tex]
[tex]T=0[/tex]
Therefore the mean of the cubes of the three number is 0
[tex]\frac{x^3+y^3+z^3}{3} =0[/tex]
A store is having a sale where everything is discounted 30%. Find the discount and the sales price if a customer buys an item that normally sells for $365.
Answers
Answer:
The discount is $109.50 and the sales price is $155.50
Step-by-step explanation:
30% of 365 is 109.5
356-109.5=155.5
Please help me find the value of x
Answers
Help me PLEASE!
You need to make at least 360 wraps for a party. You can make 9 wraps per minute.
How long will it take you to make the number of wraps you need?
In two or more complete sentences write and solve an inequality for the situation and explain how you will solve the inequality.
Answers
Step-by-step explanation:
for 1 min=9 wraps
for x(unknown minutes)=360 wraps
so I crossed multiply:
9x=360
x=360/9
x=40
so it takes 40 minutes to make 360 wraps
how do i solve for x
Answers
Answer:
wdym
Step-by-step explanation:
Answer:
x = −8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
(x + x) + (75 +53 + 68) = 180 (Combine Like Terms)
2x + 196 =180
Step 2: Subtract 196 from both sides.
2x + 196 − 196 = 180 −196
2x = −16
Step 3: Divide both sides by 2
x = -8
Hope this helps!!!
9 is 50% of what number?
Answers
its 18 bc half of 18 is 9 so ye
Answer:
18
Step-by-step explanation:
18*0.50=9
hope this helped!!
what is –1 + (–11) and how do you solve
Answers
Answer:-12
Step-by-step explanation:
When adding if both are negatives just add and when your done add the negative symbol.
Answer: the answer is 12
Step-by-step explanation:
cause i think it goes like a negative plus a negative is a positive
Help me out!
Identify the function that reflects f(x) = 14x^3 − 7x^2 + 6 across the y-axis and shifts it 6 units up.
1: h(x) = 14x^3 − 7x^2
2: h(x) = −14x^3 − 7x^2 + 12
3: h(x) = 14x^3 + 7x^2 + 12
4: h(x) = −14x^3 − 7x^2
Answers
Answer:
[tex]\boxed 3 \: h(x) = 14 {x}^{3} - 7 {x}^{2} + 12[/tex]
x ÷ 7 + 1 = 5 find the value of x
Answers
Answer:
28
Step-by-step explanation:
x/7+1=5
-1 -1
x/7=4
x/7*7=4*7 ( do the inverse operation to get rid of 7, which is multiplication)
x=28
Answer:
x=28
Step-by-step explanation:
x÷7+1=5
Firstly,
Group like terms
x÷7=5-1
x÷7=4
Secondly,
So now 7 will cross the equal sign
x=4×7
We have ×7 because when a number number with a division sign crosses an equal sign it becomes multiplication.
x=28
i need help with this question for my maths classwork
Answers
Note: Please note that you missed adding the option points. So, I am solving the entire function to determine the points and the vertex which would anyways clear your concept.
Answer:
The vertex is located at (3, 7)
some of the points will make the table such as:
x 0 1 2 3 4
y -2 3 6 7 6
The graph is attached below.
Step-by-step explanation:
Given the table
[tex]y\:=\:6x-2-x^2[/tex]
The given equation is of the form quadratic function y = ax² + bx + c. Thus, it represents the Parabola.
As the leading coefficient of the parabola is -2, thus the Parabola opens down.We know that the vertex would be the highest point on the Parabola graph if the graph (Parabola) opens down.
Thus, the given Parabola has the vertex point at the highest point of the Parabola as shown in the attached figure.
Finding the Vertex:
y = -x² + 6x - 2
comparing with y = ax² + bx + c
a = -1, b = 6, c = -2
Finding the x-coordinate of the Vertex
x = -b / 2a
x = [-6] /[2(-1)]
x = [-6 ] / [-2]
x = 6/2
x = 3
Thus, the x-coordinate of the vertex : x = 3
Now substituting x = 3 in the equation y = -x² + 6x - 2 to determine the y-coordinate of the vertex
y = -x² + 6x - 2
y = -(3)²+6(3)-2
y = -9 + 18 - 2
y = 18 - 11
y = 7
Thus, the y-coordinate of the vertex : y = 7
Therefore, the vertex is located at (3, 7)
Now, finding some other points lie on the Parabola
y = -x² + 6x - 2
Putting x = 0 in the main function
y = -(0)² + 6(0) - 2
y = 0 + 0 - 2
y = -2
Thus, the y-intercept lies on (0, -2)
Putting x = 1 in the main function
y = -x² + 6x - 2
y = -(1)² + 6(1) - 2
y = -1 + 6 - 2
y = 3
Thus, the point (1, 3) lies on the Parabola
Putting x = 2 in the main function
y = -x² + 6x - 2
y = -(2)² + 6(2) - 2
y = -4 + 12 - 2
y = 6
Thus, the point (2, 6) lies on the Parabola
Putting x = 3 in the main function
y = -x² + 6x - 2
y = -(3)² + 6(3) - 2
y = -9 + 18 - 2
y = 7
Thus, the point (2, 7) lies on the Parabola
Putting x = 4 in the main function
y = -x² + 6x - 2
y = -(4)² + 6(4) - 2
y = -16 + 24 - 2
y = 6
Thus, the point (4, 6) lies on the Parabola
Hence, some of the points will make the table such as:
x 0 1 2 3 4
y -2 3 6 7 6
The graph is attached below.
Please, need this ASAP!!!
Answers
I need help in this, please
Answers
Answer:
Please check explanations
Step-by-step explanation:
Here, we want to get the following;
1. Initial deposit
The initial deposit is the value of y when x = 0
We can see this at x = 1000
2. slope and y-intercept
The y-intercept is the y-value of the graph when x = 0
It is the point at which the graph crosses the y-axis
From the plot, we can see that the y-intercept is 1000
To get the slope, we select and two points on the graph and apply the slope formula
The points selected are;
(2,2000) and (4,3000)
The formula for the slope is;
y = (y2-y1)/(x2-x1)
y = (3000-2000)/(4-2) = 1000/2 = $500 per month
3. Generally the equation of a line is;
y = mx + b
where m is slope and b is the intercept
So the equation will be;
y = 500x + 1000
4. The meaning of slope in the graph represents the unit of amount saved per month in the plan. It is just giving us a breakdown of what’s saved by each month on the plan
8/9 divided by -11/2
Answers
8/9 x -2/11= -16/99
Is the answer
Number seven and eight write a linear function F in slope intercept form with the given values show work
Answers
Answer:
i need more info
Step-by-step explanation:
8- (-5,2) , (7,-4)
And then use the formula y-y1=m(x-x1) hope it helps u get started
At a farm, the ratio of cows to horses was 1:3. If there were 6 cows at the farm, how many horses were there?
Answers
Answer:
there was 18 horses
Step-by-step explanation:
uhh multiplication
Answer:
18 horses
Step-by-step explanation:
i dont have an explanation
During Sonia’s trip across the country, she traveled 2,905 miles. Her trip took her 7 days to complete. How many miles did Sonia drive in 5 days?
Answers
Answer: 2075
Step-by-step explanation:
Sonia traveled 2905 miles in 7 days
2905/7=415 miles/day
415*5=2075 miles
The graph of a linear system is shown.
y
5
7-6-5-4-3-2-1,
2 3 4 5 6 7 8
What is the solution to this linear system? Enter a value in each box to create an ordered pair.
Answers
Answer:
(-1, 7)
Step-by-step explanation:
From the graph attached,
There are two lines representing the system of linear equations.
Solution of two linear equations is represented by a common point or point of intersection on the graph.
Point of intersection of the linear system of equations given in the graph → (-1, 7)
Therefore, solution of the linear system is (-1, 7).
The sales tax in your city is
4.4% and an item costs
$3 before tax.
How much tax would you pay on that item?
Round to the nearest hundredth or cent.
Answers
Answer:
$0.13
Step-by-step explanation:
To find how much tax you would pay, find 4.4% of 3:
3(0.044)
= 0.132
Round to the nearest hundredth:
0.132
= 0.13
So, you would pay $0.13 in tax
PLEASEEE SOMEBODY HELP MEEEE PLEASE BRAINLY IF CORRECT!!!!!!
Which type of movement of Earth's crust caused these layers to be higher in
the background than they are in the foreground?
A. Shearing
B. Uplift
C. Compression
D. Vibration
Answers
Answer:
i'm not entirely sure but taking an educated guess, id say uplift
Step-by-step explanation:
Walter bought 500 marbles at the swap meet. Two-fifths of them
were blue. How many marbles were not blue?
Answers
Step-by-step explanation:
2/5 of marbles are blue
= 3/5 of marble are not blue.
Number of non-blue marbles = 500 * (3/5) = 300.
300 marbles are not blue.
Can someone help me with Question 2? 4a 3(a 2) = 2(3a 2)
Answers
Answer:
6a + 2
Step-by-step explanation:
2 ×3a = 6a 2×2 = 4
it gives 6a + 4
(If this is wrong, it would be better to attach an image)