In fig if x+y=w+z then prove that AOB is a line.
Answer:
As Given, x+y=w+z
To Prove: AOB is a line or x+y=180
∘
(linear pair.)
According to the question,
x+y+w+z=360
∘
∣ Angles around a point.
(x+y)+(w+z)=360
∘
(x+y)+(x+y)=360
∘
∣ Given x+y=w+z
2(x+y)=360
∘
(x+y)=180
∘
Hence, x+y makes a linear pair.
Therefore, AOB is a straight line
Solve for x: 3(x + 1) = −2(x − 1) + 6
Answer:
x = 1Step-by-step explanation:
[tex]3(x + 1) = −2(x − 1) + 6[/tex]
Expand the terms in the bracket and simplify
That's
[tex]3x + 3 = - 2x + 2 + 6 \\ 3x + 3 = - 2x + 8[/tex]
Add 2x to both sides of the equation
[tex]3x + 2x + 3 = 2x - 2x + 8 \\ 5x + 3 = 8[/tex]
Subtract 3 from both sides of the equation
[tex]5x + 3 - 3 = 8 - 3 \\ 5x = 5[/tex]
Divide both sides by 5
[tex] \frac{5x}{5} = \frac{5}{5} \\ [/tex]
We have the final answer as
x = 1Hope this helps you
What is -3(-2)(1)+???
what is the measure of the complement of JKI? the supplement
The answer would be 35 and for supplement it would be 125
Can somebody please tell me what 1 1/3+(−5/6) is??
1/2
Step-by-step explanation:Hi there !
1 1/3 + (-5/6) =
= (1*3+1)/3 - 5/6
= ²⁾4/3 - 5/6
= 8/6 - 5/6
= (8 - 5)/6
= 3/6
= 1/2
Good luck !
A 4-column table with 6 rows. Column 1 is labeled x with entries 1.5, 3, 5.5, 6.25, 7, Sigma-summation x almost-equals 23.25.
Column 2 is labeled y with entries 9.5, 17, 34.5, 31, 35, sigma-summation y almost-equals 127.
Column 3 is labeled x squared with entries 2.25, 9, 30.25, 39.06, 49, sigma-summation x squared almost-equals 129.56.
Column 4 is labeled x y with entries 14.25, 51, 189.75, 193.75, 245, sigma-summation x y almost-equals 693.75.
The table shows the relationship between the number of trucks filled with mulch (x) and the number of tons of mulch (y) delivered by a landscaping company. Which regression equation models the data?
y = 4.8x + 3
y = 3x + 4.8
y = x + 20.8
y = 20.8x + 1
Answer:
C
Step-by-step explanation:
Answer:
a
.
yw babes :)
PLZZZZ HELLLLPPPPPPPPP!!!! *look at the picture*
solve for x
Answer:
x = 16
Step-by-step explanation:
Since we are looking at 2 vertical angles you would start with:
5x - 2 = 78
+2 +2
-------------------
5x = 80
x = 16
I hope this helps you! :)
10x - 12 = ??? plz help me out ❤
Answer:
-120
Step-by-step explanation:
Joe borrowed $4,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 4 year?
In 4 years, joe pays $blank
In interest.
Answer:
He will pay $640 in interest in 4 years.
Step-by-step explanation:
Yearly interest will be $160
because $4,000 x 7% = $160
$160 x 4 years = $640
the femur family has a monthly budget of $5,500. mrs, demir works full time and takes home $4,000 each month. mr. demir earns $16 per hour. how many hours per month must mr. demir work at his part-time.job to.make sure that he and mrs. demir have met their monthly budget?
Answer:
93.75 hours
Step-by-step explanation:
5500-4000=1500
1500/16=93.75
Please help me with this question.
Answer:
Just draw a line through the dots.
Step-by-step explanation:
multiply the cost times the number of items.
Hope i helped
Is -90 a rational number help
Answer:
yes u can make it a fraction
Answer:
YES!
Explanation:
Rational numbers are all positive and negative numbers and can be written as a fraction.
(9-4n)(-4)
Need help simplify this plz
Answer: -36+16n
Step-by-step explanation: Hope this helps!
Suppose the average yearly salary of an individual whose final degree is a master's is $45 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $117 thousand. Find the average yearly salary of an individual with each of these final degrees.
Answer:
$58500Step-by-step explanation:
let the degree holder earn x
then a masters degree holder earns= (2x-45,000)
the comnined amount of the two degree holders= (2x-45,000)+x
2x-45000+x=117000
3x=117000+45000
3x=162000
x=162000/3
x=$54000
so bachelor'sdegree hold earns= $54000
a masters degree holder earns= (2(54000)-45,000)
a masters degree holder earns= (108000-45,000)
a masters degree holder earns=$63000
the average= (54000+63000)/2
the average= (117000)/2
the average=$58500
y = - 2x + 4 missing value
Answer:
Y= -2x+4
X= 1: -2(1) +4 = 2
X= 2: -2(2)+4= 0
X= 3: -2(3)+4= -2
Step-by-step explanation:
espero que esto ayude
1+1 is what??? Plz answer
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Common Sense
Hope it helps???
Does anyone know the answer? Due Today xD
Answer:
I believe that the answer is c.
Answer:
C: Kaylee must drive her car on the right side of the road
What is an equation of the line that passes through the point
(-6, – 7) and is perpendicular to the line 6x + 5y = 30?
HELP!!!
Answer:
(y+7)=5/6(x+6)
Step-by-step explanation:
For this problem we need to use Point-Slope Form to write an equation.
We already have the point, (-6,-7), so all we need now is the slope, which we know is perpendicular to the line 6x+5y=30.
First, let's find the slope of 6x+5y=30 by converting it into Slope-Intercept Form, which is y=mx+b. m is the slope.
6x+5y=30
5y=-6x+30
y=-6/5x+6
So the slope of this line is -6/5, but we need the slope of the line is perpendicular to this line.
When a line is perpendicular to another, their slopes are negative reciprocals to one another, or opposite reciprocals. For example, a line that is perpendicular to another line that has a slope of 3/4 will have a slope of -4/3. Flip the numerator and denominator to find the reciprocal and add a negative.
x
So the negative reciprocal of -6/5 is 5/6, so that is our slope.
Now we can assemble our equation, here is the Point-Slope Form:
[tex](y -y_{1}) =m(x-x_{1})[/tex]
again, m is our slope.
[tex]y_{1}[/tex] and [tex]x_{1}[/tex] represent the coordinates of the point that this line passes through, (-6, -7).
Let's plug in the y, x, and m values:
(y-(-7))=5/6(x-(-6))
Simplify:
(y+7)=5/6(x+6)
That is our final answer.
which multiplication expression is equal to 5/6 divided by 1/2?
Answer:
5/6 * 2/1
Step-by-step explanation:
A school has 500 students and 25 teachers. Which of these statements is true based on this information?
Answer:
A school has 500 students and 25 teachers
Step-by-step explanation:
One car rental company charges $35 for the rental, plus $2 per mile driven. A second rental car company charges $20 for the rental, plus $5 per mile driven. At how many miles will the two companies cost the same?
Answer:
b
Step-by-step explanation:
For 5 miles will the two companies cost the same.
What is an expression?
Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
One car rental company charges $35 for the rental, plus $2 per mile driven.
A second rental car company charges $20 for the rental, plus $5 per mile driven.
Now,
Let distance for the two companies cost the same is x miles.
Then, for first condition we can formulate;
Total cost for x miles = $35 + $2x
And, For the second condition;
Total cost for x miles = $20 + $5x
So, For distance of the two companies which has cost the same;
$35 + $2x = $20 + $5x
$35 - $20 = $5x - $2x
$15 = $3x
x = 5
Thus, For 5 miles will the two companies cost the same.
Learn more about the expression visit:
https://brainly.com/question/28701545
#SPJ2
amisha sells a cycle to amir at a profit of 10%. amir sells the same cycle to abishekh at a profit of 20%. if abishekh has sold it for rs3300 there by earning a profit of 25%, find the cost price of it for abishekh
Answer:
CB for Abishekh: 3,300 x 100/125 =2,640
CB for Amir: 2,640 x 100/120=2,200
CB for Amisha: 2,200 x 100/110=2,000
Step-by-step explanation:
Those are some interesting names.
what is the range of a function h(w) = 19- 3w if the domain is {-4, -1,2,5}
The tukmmk;ga#p[kpgrakkgkpkgweODKG\LMA
(x-2) = (4+x) Please help!!
Answer:
6
Step-by-step explanation:
im pretty sure im right
HELP!!!! which graph doesn't NOT pass the vertical line test? Graph 1, 2, 3, or 4. I NEED HELP!!
Using the function concept, it is found that Graph 1 does not pass the vertical line test.
-----------------------
In a function, each value of the input can only be mapped to one respective output value.If it is mapped to more than one value, it is not a function.In a graph, passing a vertical line, if it crosses the function in more than one point, a value of the input x has more than one corresponding output, and thus, is not a function.The image appended in the end shows that graph 1 does not pass the vertical line test.A similar problem is given at https://brainly.com/question/12463448
What is (8x+5) - (x+4) in simplest terms
Answer:
7x+1
Step-by-step explanation:
Answer:
7x+1
Step-by-step explanation:
4(x - b) = x
solve for x
Answer:
x=4b/3
Step-by-step explanation:
Simplify 4(x - b) = x
Then Move all terms containing x to the left side of the equation.
so -4b+3x=0
Add 4b to both sides of the equation.
so 3x=4b
Divide each term by 3 and simplify!
please help me ill give brainiest to whoever is right i need help asap
Answer:
73 degrees
Step-by-step explanation:
So first, since there are two lines that are parallel, and there is a transversal, angle a and angle b are supplementary due to same side interior angles.
Next, we make an equation: 6x-35+3x+53=180, and after that you come up with 9x+18=180. Put the numbers on one side and the variables on one side, and since you put 18 on the other side, you have to change it to -18. 180-18= 162.
9x=162. In conclusion, x=18. And to find angle a, plug x in. Therefore, the final answer is 73 degrees
Which measure of center is shown in a box plot? mean, median, mode, range
Answer:
B: Median
Step-by-step explanation:
edg2020
Answer:
B
Step-by-step explanation:
(12x – 13) m
(7x + 2) m
(2x + 17) m
E
Answer:
x = 3
Step-by-step explanation:
Since the 3 angles in the triangle are equal, then the triangle is equilateral.
Thus the 3 sides are congruent.
Equate any 2 of the sides and solve for x, that is
12x - 13 = 7x + 2 ( subtract 7x from both sides )
5x - 13 = 2 ( add 13 to both sides )
5x = 15 ( divide both sides by 5 )
x = 3