Given mn, find the value of x.
The value of the angle x in the given set of parallel lines is 62°.
Given that are two lines m and n which are parallel to each other, a transversal line t intersecting the lines at one point each making angles measuring 118° and x, which are opposite to each other, x is on line n whereas 118° is on m,
We need to find the value of x,
Here, we can use the property of corresponding angles to find the value of x.
Corresponding angles are formed when a transversal intersects two parallel lines, and they are congruent (equal) to each other.
In this case, the corresponding angle to the 118° angle on line m is the supplement of angle x on line n.
Since the corresponding angles are equal, we can set up the equation:
180° - x = 118°
x = 62°
Hence the value of x is 62°.
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Question 2
8 pts
You buy a bike for $200 and a skateboard for $30. What is the total cost if the tax rate is
8.25%? Round your answer to the nearest hundredth.
I
Answer:
$248.98
Step-by-step explanation:
200 + 30 = 230.
8.25% of 230 is 18.975, rounded to $18.98.
230 + 18.98 = 248.98.
At a book store there are 25 books on the clearance section. 20 of the books are young adult novels and the rest of the books are picture books. Which statement is not true?
For every 4 young adult novels, there is 1 picture book
For every 5 books, 4 are young adult novels
The ratio of picture books to young adult novels is 1:4
There is 1 picture book for every 5 books
All statements are true
Answer:
all answers are true I think
question no. 3 the square root pls help guys pls
Find the length of RS 40 10 9 8 A. 73 units B. About 8.5 units C. About 3.3 units D. 11 units
Answer:
4,9
Step-by-step explanation:
Answer:
It's B
Step-by-step explanation:
MOLDY FRIJOLES!!!!!what is x+y=10
Answer:
lol......
.
..
............
What is 12x³ – 9x² – 4x + 3 in factored form? hurry...
Answer:
Combine Like Terms:
=1728+−9x^2+−4x+3
=(−9x^2)+(−4x)+(1728+3)
= −9x^2+−4x+1731
Can you write 10 2/3 as an improper fraction?
Answer:
10 2/3 is 32/3
Step-by-step explanation:
10*3=30
30+2=32
32/3
.
Step-by-step explanation:
10 2/3
add 10 + 2/3
continue
9
1 point
The elevator of a building can safely carry no more than 4000 lbs. A worker moves supplies in 50-Ibs boxes from the loading dock to the
fourth floor of the building. The worker weighs 210 lbs. The cart weighs 95 lbs. What is the greatest number of boxes he can move in one
trip?
1
Write an inequality and solve.
2
b choose your answer...
V
type your answer...
3
4
Next
Previous
5
6
7
8
which is the area of a circle with a diameter of 7 units? (use 3.14 for pi)
Answer:
The area of circle = πR ^2
And diameter = 7 units
By interchanging d in R =d/2 = R =7/2 = 3.5
Step-by-step explanation:
πR ^2 =3.14 x (3.5)^2 =3.14 x 3.5 x 3.5 =38.465 (unit)^2 AnswerHope it's help ^_^
What is the area of this shape?
7 inches
4 inches
5 inches
A. 17.5 square inches
B. 25.5
C.27.5
D. 35.5
E.37.5
Answer:
c because 5×4=20 and 3×5÷2=7.5= 27.5
[tex]what \: is \: the \: radius \: 11 \sqrt{2(9.8) r} [/tex]
Answer:
radius r = 9.8 m
base circumference C = 61.575216 m
volume V = 1971.22792 m3
curved surface area A = 603.437117 m2
base surface area B = 301.718558 m2
total surface area K = 905.155675 m2
How would I solve this? I tried and I got a reallly crazy number... I think I messed up somewhere. The question is... Jack and Mark work together on a job, but not equal hours. Mark gets paid $11 per hour and Jack gets paid $10 per hour. Together they worked 58 hours and earn a total of $601. How many hours did each one work?
I made these equations.
m+j=58
11m+10j
The first one I rearranged to m=58-j.
Answer:
Jack earns $37
Mark earns $21
Step-by-step explanation:
m + j = 58
11m + 10j = 601
j = 58 - m
11m + 10(58 - m) = 601
11m + 580 - 10m = 601
1m = 601 - 580
m = 21
j = 58 - m
j = 58 - 21
j = 37
( Which of the following best describes an ecosystem in a neighborhood garden?
ASAP I AM BEING TIMED I WILL MARK BRAINLIST
In psychology, the word "Gestalt" refers to
 A. a personality type

B. an adaptation that increases chances of survival 
C. the organization of parts into a whole pattern
 D. a learned response to a stimulus  E. the unconscious forces that drive behavior
Answer:
C. the organization of parts into a whole pattern
Step-by-step explanation:
If the school supply kit regularly cost $25 how much does it cost after the 20% discount
The amount of the school supply kit after the discounted price is $ 20
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the amount of the school supply kit be A
The value of A is $ 25
The percentage discount of the school supply kit = 20 %
So , the value of the percentage amount is given by the equation
The cost of the school supply kit after discount = ( amount of the school supply kit - ( percentage discount of the school supply kit x amount of the school supply kit ) )
Substituting the values in the equation , we get
The cost of the school supply kit after discount = 25 - ( 20/100 x 25 )
The cost of the school supply kit after discount = 25 - ( 25 x 0.2 )
The cost of the school supply kit after discount = 25 - 5
The cost of the school supply kit after discount = $ 20
Therefore , the discounted price is $ 20
Hence ,
The amount of the school supply kit after the discounted price is $ 20
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Paul was making some brownies and cupcakes for his school fundraiser. If the brownies needed 4.8 cups of sugar and the cupcakes needed 5.2 cups, how much sugar would he need altogether?
Answer:
10 cups in total.
Step-by-step explanation:
4.8+5.2= 10.00
add the .2 to the 4.8 you get get 5 then add 5.0+5.0
Four-thirds times the sum of a number and 8 is 24. What is the number?
ОА.
40
OB. 26
O C. 24
OD
10
Answer:
D, 10.
Step-by-step explanation:
10+8=18 4/3x18=24
6th grade math i mark as brainliest
A licensed nurse practitioner is instructed to give a patient 1500 milligrams of an antibiotic over a period of 36 hours. If the antibiotic is to be given every 2 hours starting immediately, how much antibiotic should be given in each dose? To answer this question, solve the equation 18x=1500.
Answer:
83.33 milligrams
Step-by-step explanation:
The equation, [tex] 18x = 1500 [/tex] represents the total dosage of antibiotics to be given to the patient in relation to the hours.
Thus, the each dosage = x.
Let's solve for x
[tex] 18x = 1500 [/tex]
Divide both sides by 18
[tex] \frac{18x}{18} = \frac{1500}{18} [/tex]
[tex] x = 83.33 milligrams [/tex] (nearest hundredth)
A cyclist travels at a speed of 15 miles per hour for 1.5 hours.Find the distance the cyclist travels
Answer:
22.5 miles
Step-by-step explanation:
15 miles every hour, and there is 1.5 hours, so cut 15 in half, 7.5 and add that the 15
4cm
Use 3.14 for pi
Circumference =
cm
Area
=
cm
Use the drop-down menus to complete the solution to the equation cos(pie/2-x)=square root 3/2 for all possible values of x on the interval [0,2pie].
Answer:
0
1
sin
3
3
Step-by-step explanation:
These are the answers in order from every blank
The value of cos(π/2) is 0 sinπ/2 is 1 further sinx = √3/2 thus x = π/3,2π/3.
What is a trigonometric function?The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.
As per the given trigonometric equation,
cos(x)cosπ/2 + sin(x)sinπ/2 = √3/2
Since, cosπ/2 = 0 and sinπ/2 = 1
cos(x)(0)+ sin(x)(1) = √3/2
sinx = √3/2
sinx = sin π/3 = sin 2π/3.
Hence "The value of cos(π/2) is 0 sinπ/2 is 1 further sinx = √3/2 thus x = π/3,2π/3".
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What is the equation of a line that is parallel to -x + 3y = 6 and passes through the point (3, 5)?
Answer:
y = 1/3x + 4
Step-by-step explanation:
Make it into slope intercept form
3y = x + 6
y = 1/3x + 2
parallel = same slope
y = 1/3x + b, plug in (3,5)
5 = 1/3(3) + b, b = 4
y = 1/3x + 4
please help me, i need this so much
Answer:
Do you have insta cus if u do follow _l.bartlett
Step-by-step explanation:
1. x<-3
2. z[tex]\leq[/tex] -5
3. y<2
4. 3 [tex]\leq[/tex]x<7
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
C {14,47,50}
Step-by-step explanation:
For it to be a right triangle it would have to be {14,48,50}
Hope this helps
What are the exact solutions of x2 − 5x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a
Answer:
[tex]x = \frac{5 + \sqrt{53}}{2}[/tex] or [tex]x = \frac{5 - \sqrt{53}}{2}[/tex]
Step-by-step explanation:
Given
[tex]x^2 - 5x - 7 = 0[/tex]
Required
Solve for x using:
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
First, we need to identify a, b and c
The general form of a quadratic equation is:
[tex]ax^2 + bx + c = 0[/tex]
So, by comparison with [tex]x^2 - 5x - 7 = 0[/tex]
[tex]a = 1[/tex] [tex]b = -5[/tex] [tex]c = -7[/tex]
Substitute these values of a, b and c in
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]x = \frac{-(-5) \± \sqrt{(-5)^2 - 4 * 1 * -7}}{2 * 1}[/tex]
[tex]x = \frac{5 \± \sqrt{25 +28}}{2}[/tex]
[tex]x = \frac{5 \± \sqrt{53}}{2}[/tex]
Split the expression to two
[tex]x = \frac{5 + \sqrt{53}}{2}[/tex] or [tex]x = \frac{5 - \sqrt{53}}{2}[/tex]
To solve further in decimal form, we have
[tex]x = \frac{5 + 7.28}{2}[/tex] or [tex]x = \frac{5 - 7.28}{2}[/tex]
[tex]x = \frac{12.28}{2}[/tex] or [tex]x = \frac{-2.28}{2}[/tex]
[tex]x = 6.14[/tex] or [tex]x = -1.14[/tex]
Andre took a trip from Boston, Massachusetts to Paris, France. In 6 2/3 hours, the plane flew 3,669 4/5 miles. How far had the plane traveled in 1 hour?
550 47/100 miles per hour.
Answer:
550.47
Step-by-step explanation:
3669 4/5 ÷ 6 2/3 = 550.47
Hope this helps:)
What is the slope of AB in parallelogram ABCD?
The slope of the line [tex]\overline{AB}[/tex] is the rate at which the line rises at a point.
[tex]\mathrm{The \ slope \ of \ \overline{AB} \ is \ D.} \ \dfrac{5}{2}}[/tex]
Reasons:
The slope of a line is given by the ratio of the rise to the run of the line
The coordinates of point A = (-9, -4)
The coordinates of point B = (-5, 6)
The rise of the line [tex]\overline{AB}[/tex] = The difference in the y-values = (6 - (-4)) = 10
The run of the line [tex]\overline{AB}[/tex] = The difference in the x-values = (-5 - (-9)) = 4
[tex]Slope \ of \ \overline{AB}= \dfrac{Rise \ of \ line \ \overline{AB}}{Run \ of \ line \ \overline{AB}}[/tex]
Therefore
[tex]Slope \ of \ \overline{AB}= \dfrac{10}{4} = \dfrac{5}{2}[/tex]
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Which of these equations has no solution 6(x - 2) = 6x - 3
2(x - 3) = 2x - 6
3(x - 2) = x - 6
go with your heart if you think that your heart is telling you something just go with it trust your instinct