Answers
The first step that we must take before attempting to solve almost any problem is to determine what the problem statement is asking us to do and what they are giving to us to help finish the problem. Looking at this question we can see that they have requested for us to solve for x and we were provided with a figure.
After understanding what the problem is asking for us to do we can attempt to solve the problem. We can see that there are two angles on a straight line and this is known as supplementary angles. Let us define what supplementary angles are.
Supplementary Angles ⇒ Supplementary Angles are two angles that are formed on a straight line causing them to add up to 180 degrees. Therefore, an expression can be made where the two angles add up to 180 and it can be solved for the unknown.In this case we don't have a missing angle but rather a variable that makes up each of the angles. Using a similar concept we can create an expression with 4x - 6 and 2x and have them combined to equal to 180. After that we can solve for the unknown which in turn would give us x.
Create an expression
[tex]Angle_1 + Angle_2 = 180[/tex][tex](2x) + (4x - 6) = 180[/tex]Combine like terms
[tex]2x + 4x - 6 = 180[/tex][tex](2x + 4x) - 6 = 180[/tex][tex](6x) - 6 = 180[/tex]Add 6 to both sides
[tex](6x) - 6 + 6 = 180 + 6[/tex][tex](6x) = 180 + 6[/tex][tex]6x = 186[/tex]Divide both sides by 6
[tex]\frac{6x}{6} = \frac{186}{6}[/tex][tex]x = \frac{186}{6}[/tex][tex]x = 31[/tex]Therefore, after creating an expression and then simplifying it down all the way to just have the value of x equal to something we were able to determine that the unknown variable of x is equal to 31.
[tex]\huge\text{Hey there!}[/tex]
[tex]\text{Your equation: }\rm{(2x) + (4x - 6) = 180^\circ}\\\large\text{SOLVING for the x-value}\\\rm{2x + 4x - 6 = 180^\circ}\\\large\text{COMBINE the LIKE TERMS}\\\rm{(2x + 4x) + (-6) = 180^\circ}\\\rm{2x + 4x - 6 = 180^\circ}\\\rm{6x - 6 = 180^\circ}\\\large\text{ADD 6 to BOTH SIDES}\\\rm{6x - 6 + 6 = 180 + 6}\\\large\text{SIMPLIFY IT!}\\\rm{6x = 180 + 6}\\\rm{6x = 186}\\\large\text{DIVIDE 6 to BOTH SIDES}\\\rm{\dfrac{6x}{6} = \dfrac{186}{6}}\\\large\text{SIMPLIFY IT!}\\\rm{x = \dfrac{186}{6}}\\\rm{x= 31}[/tex]
[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{x = 31}}}\huge\checkmark\\\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\frak{Amphitrite1040:)}[/tex]
Related Questions
The cylinder shown here has a height of 7 centimeters and a radius of 4 centimeters.
Part A. What is the area of the base of the cylinder? Express your answer in terms of π. options are: 15 pi cm, 14 pi cm, 16 pi cm, 17 pi cm.
Part B: How many cubic centimeters of fluid can fill this cylinder? Express your answer in terms of π. options are: 112 pi cm, 110 pi cm, 113 pi cm, 107 pi cm.
Part C: Give a decimal approximation of your answer to the second question using 3.14 to approximate π. options are: 351.68 cm, 368.15 cm, 386.51 cm, 315.68 cm.
Answers
Answer:
A: 16[tex]\pi[/tex][tex]cm^{2}[/tex]
B: 112[tex]\pi[/tex][tex]cm^{3}[/tex]
C: 351.68[tex]cm^{2}[/tex]
Step-by-step explanation:
The cubic inches that can fill the cylinder is [tex]112\pi[/tex] and the decimal approximation 351.68 cm^3
The given parameters are:
Radius (r) = 4 cm
Height (h) = 7 cm
The area of the baseThe area of the base is:
[tex]A = \pi r^2[/tex]
So, we have:
[tex]A = \pi *4^2[/tex]
[tex]A = 16\pi[/tex]
Hence, the area of the base is [tex]16\pi[/tex]
The cubic inches that can fill the cylinderThis is the volume of the cylinder.
So, we have:
[tex]V = \pi r^2h[/tex]
Substitute known values
[tex]V = \pi * 4^2 * 7[/tex]
[tex]V = 112\pi[/tex]
Hence, the cubic inches that can fill the cylinder is [tex]112\pi[/tex]
The decimal approximationWe have:
[tex]V = 112\pi[/tex]
Expand
[tex]V = 112 * 3.14[/tex]
Evaluate the product
[tex]V = 351.68[/tex]
Hence, the cubic inches that can fill the cylinder is 351.68 cm^3
Read more about volume at:
https://brainly.com/question/10171109
SOMEONE PLEASE EXPLAIN ASAP
Answers
Answer:
112,5°
Step-by-step explanation:
angle of WXZ + angle of ZXY = 180
180 / 8 = 22,5
5 × 22.5 = 112,5 = angle of WXZ
There you go, hoped it helped!
I need helppp Its due at 2
Answers
Answer:
the first one is 20% im too lazy for the second one
Step-by-step explanation:
Round 150,893 to the nearest thousand.
Answers
Answer:
151,000
Step-by-step explanation:
Is (6, 8) a solution to y = 8/3x - 8?
Answers
Answer:
Yes it is a solution
Step-by-step explanation:
[tex] \frac{8}{3} \times 6 - 8 = \\ 16 - 8 = 8[/tex]
Answer:
Is (6, 8) a solution to y = 8/3x - 8?
Step-by-step explanation:
The lifespans of gorillas in a particular zoo are normally distributed. The average gorilla lives 20.8 years; the
standard deviation is 3.1 years.
Use the empirical rule (68 – 95 - 99.7%) to estimate the probability of a gorilla living between 11.5 and 27 years.
Answers
Two standard deviations adding and subtracting 3.1*2 = 6.2, or 14.6 and 27.
Three standard deviations is 11.5 and 30.1
So we have
11.5 - 14.6 - 17.7 - 20.8 - 23.9 - 27 - 30.1
Going left to 11.5 is 3 standard deviations out, so 99.7/2 = 49.85%
Going right to 27 is 2 standard deviations out, so 95/2 = 47.5%
Add those two % to get 97.32%
This is hard to do without a picture so I hope that helps!
Plz help !!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
x^2 + 7x + 5x + 35
7x : II
5x: III
35: IV
Need help ASAP!
Which inequality is represented by this graph
Answers
Answer:
a
the first answer
Step-by-step explanation:
What is 17 = 3x + 2 ?
Answers
Answer:
x = 5
Explanation:
Subtracting 2 from both sides of the equation
17 − 2 = 3x +2 − 2
15=3x
Dividing both sides by 3
15/3 = 3x/3
5 = x
Answer:
x=5
Step-by-step explanation:
Someone please help me out please
Answers
Step-by-step explanation:
the inequality is
0<=x<4
Does the graph represent an linear or nonlinear function
Answers
Answer:
This graph is Non linear
please help me
give u 10pts
Answers
Answer:
The graph is not a function.
Step-by-step explanation:
Using the "vertical line test" to attach a vertical line to each of the points on the graph, we will find that the vertical line that passes through (0,0) has ot one, but two points on it. Remember, if the vertical line passes through more than one points, the graph is not a function. As we know, the vertical line passes through two points, those being (0, -4) and (0, -3). So, we can conclude that the graph is not a function.
Please help I really need it
Zoom in so it won’t be blurry
Answers
Answer:
this is the answer45x+134x
answer asap ty.!
Thanks
Answers
Answer:
x=0
Step-by-step explanation:
5-9+3x = -10+6
-4+3x = -4
+4 . +4 (Both sides)
3x = 0
/3 /3 . (divide both sides by 3)
x=0
A boat is traveling a distance of 90 km at a speed of 30 km/s, how long will it take to reach its destination?
PLEASE SHOW WORK!
Answers
Answer:
3 sec
Step-by-step explanation:
Answer:
[tex]3[/tex] seconds
Step-by-step explanation:
[tex]90 \div 30 = 3[/tex]
It will take [tex]3[/tex] seconds for the boat the reach its destination.
Find the value of x in the triangle shown below.
6
10
Answers
Answer:
50
Step-by-step explanation:
The value of x is 50 degrees
bcoz it is isosceles triangle
so two angles are equal
so value of x is 50
I hope this will help u
Answer:
x=5
Step-by-step explanation:
which of the j values satisfy the following inequality? 10>j+5
choose all that apply
j=3
j=4
j=5
Answers
J=3
You can see that I can not equal or go over 10 so you plug both of them and it does satisfy the equation
Answer:
All of them
Step-by-step explanation:
Khan 7th Grade, Quiz 3
2) How much sales tax does Jaylen have to pay if the sales tax rate
is 8.875%? What is Jaylen's final price?
Answers
Answer:
The New York (NY) state sales tax rate is currently 4%. Depending on local municipalities, the total tax rate can be as high as 8.875%. Other, local-level tax rates in the state of New York are quite complex compared against local-level tax rates in other states.
60.5 feet
16 feet
75.5 feet
How many squares of grass will need to be ordered to fill the entire park
Answers
Answer:
73084
Step-by-step explanation:
60.5*16*75.5
968*75.5
73084
7/8 x 3/5 simplified
Answers
Answer:
21/40
Step-by-step explanation:
First you multiply the numerators (7 & 3) to get 21, then denominators (8 & 5) to get 40, unfortunately it cannot be reduced
In the scenario that it could be reduced, I was taught to cross reduce. lets say we had 2/8 x 4/6
You could divide by four for the 8 (denominator) and 4 (numerator) getting you 2/4 and 1/6
Then you do the same thing for 2 (numerator) and (6 denominator) so 2/2 is 1 and 6/2 is 3
Leaving you with 1/4 x 1/3 making it easier to multiply, and you don't have to reduce! Hope this helps!!
PLEASE HELO ME IT EXTREMELY URGENT !
Answers
Answer: do mx+b
Step-by-step explanation:
Write a ratio in simplest form that compares the number of basketball cards to the total number of cards.
Answers
I am expecting that 52 total cards
In a March 2016 survey by Gallup of 1019 US
adults, 65% believe that global warming is due
more to human activity than natural changes in
the environment.
Assume the conditions for inference have been
met. Create a 95% confidence interval for the true proportion of US adults that believe global warming is due more to human activity than natural changes.
Answers
Answer:
Americans are taking global warming more seriously than at any time in the past eight years, according to several measures in Gallup's annual environment poll. Most emblematic is the rise in their stated concern about the issue. Sixty-four percent of U.S. adults say they are worried a "great deal" or "fair amount" about global warming, up from 55% at this time last year and the highest reading since 2008.
Mirroring this, the March 2-6 survey -- conducted at the close of what has reportedly been the warmest winter on record in the U.S. -- documents a slight increase in the percentage of Americans who believe the effects of global warming have already begun. Nearly six in 10 (59%) today say the effects have already begun, up from 55% in March 2015. Another 31%, up from 28% in 2015, believe the effects are not currently manifest but will be at some point in the future. That leaves only 10% saying the effects will never happen, down from 16% last year and the lowest since 2007.
Help please ASAP!!!!
Answers
I think
I’m pretty sure that’s right but not 100% positive
original price $90 markdown 24%
Answers
Find the exact height of the isosceles triangle.
Please help me on this question I’m stuck:(
Answers
PLEASE HELP!!!!
Will give Brainliest!!!
Write the equation of the line passing through the points (-1, 2) and (3, 4)
A)
y = 2x - 2
B)
y = 2x - 10
+
C)
y =1/2x + 5/2
D) y=1/2x-5/2
Answers
Answer:
D
Step-by-step explanation:
y_2 - y_1 / x_2 - x _1
4 - 2 / 3 - (-1) = 2/4 = 1/2
y +4 = 1/2 (x + 3) distributive property
y + 4 = 1/2x + 1.5
y= 1/2x - 5/2 subtraction (you subtract 4 from both sides) (-5/2 = -2.5)
therefore your equation is y = 1/2x - 5/2
hope this helps :)
what is 4 x 4 for point yeehaww
Answers
Answer: 16.
Step-by-step explanation:
Solve the equation for the red variable
Answers
Answer:
Step-by-step explanation:
Solve for m (which represents mass):
e
m = --------
c^2
the legs of a right triangle measure 5 inches and 7 inches if the theta is the the angle between the 5 inch leg and hypotenuse, cos
theta
Answers
9514 1404 393
Answer:
cos(θ) = (5√74)/74
Step-by-step explanation:
The length of the hypotenuse is given by the Pythagorean theorem:
h = √(5² +7²) = √74
The cosine of the angle is the ratio of the adjacent leg to the hypotenuse:
cos(θ) = 5/√74 = (5√74)/74