Answers
Based on the given diagram we see that all the exterior angle is in a straight line with the interior angle.
Using the known angle measure, we know that the shape has angles of measure, 123 degrees, 94 degrees, 79 degrees, and '180 - x' degrees
Also, the sum of all the angles in a quadrilateral, any four-sided shape, is 360 degrees.
Now using the knowledge gained lets set up the equation
[tex]123 + 94 + 79 + 180 - x = 360\\476 - x = 360\\-x = -116\\x = 116[/tex]
Therefore x is 116 degrees.
Hope that helps!
Related Questions
4. Shelton earns an hourly wage at a grocery store. The following expression represents Shelton’s take home pay after taxes, social security, and his health care plan are deducted. Let x represent the number of hours Shelton worked.
10.25x − 0.21(10.25x)
a) Which term represents Shelton’s total pay before deduction?
b) Shelton wants to save $1,675 for a new laptop. If Shelton saves 25% of his take-home pay, how many hours will he need to work to meet his savings goal?
Answers
Answer:
a) Shelton’s total pay before deduction: 10.25x
b) To meet savings goal he'll have to work 827.415869 hours.
Step-by-step explanation:
Take-home pay:
10.25x − 0.21(10.25x)
10.25x − 2.1525x
8.0975x
Save 25% for new laptop:
.25(8.0975x) = 1675
2.024375x = 1675
x = 827.415869 hours
Evaluate 3x + 12 for x=5
Hurry!!! ASAP!
Answers
Answer:
27
Step-by-step explanation:
3*5=15+12=27]
Evaluation of 3x + 12 for x = 5 is 27.
What is an expression?Expression in mathematics is combination of variables with the use of operations and given rules. It can be in the form of equation, numbers etc.
Given expression,
3x + 12
And to solve for x= 5,
we substitute the value of x in given expression,
3(5)+ 12 = 15 + 12
= 27
Therefore, evaluation of expression 3x + 12 for x = 5 is 27.
To learn more about the expression;
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POINTS!! I NEED HELP WITH THIS, WILL GIVE BRAINLIEST TO BEST ANSWER
(9 & 10)
Answers
Answer: I got these correct 100%.
Step-by-step explanation:
First page:
1. True
2. True
3. True
4. True
5. False
6. True
7. False
Second page:
1.False
2.False
3.False
4.False
5.False
6.True
7.True
8.True
The graph of g(x) = x2 + 2 is a translation of the
4
graph of f(x)
by
units.
2
DONE
-4
-2
-2
-4
y=x²
Answers
Answer:
up and 2; down and 3
Step-by-step explanation:
hope this helps!! have an amazing day <3
The equation the function after the transformation is g(x) = -4x² - 16
What is transformation?Transformations are changes done in the shapes on a coordinate plane by rotation, reflection or translation.
here, we have,
to determine the transformation of the function:
The equation of the function is given as
f(x) = x²+2
The sequence of transformations is given as follows:
Translate up by 2 units
Reflection across the x-axis
Vertically stretched by a factor of 4
When the above transformations are combined, we have:
Translate up by 2 units: g(x) = f(x) + 2
Reflection across the x-axis: g(x) = -(f(x) + 2)
Vertically stretched by a factor of 4: g(x) = -4(f(x) + 2)
So, we have
g(x) = -4(x²+2 + 2)
Expand
g(x) = -4x² - 16
Hence, the function g(x) is g(x) = -4x² - 16
Read more about transformation at
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answer only. Thanks
Answers
the answer is b bc the way the other 2 are
Step-by-step explanation:
its the pattern.
PLEASE HELP!!!!! Will award brainliest need help asap
Answers
[tex]\\ \rm\rightarrowtail 2-sin^2x=2cos^2\left(\dfrac{x}{2}\right)[/tex]
[tex]\\ \rm\rightarrowtail 1+1-sin^2x=2cos^2\left(\dfrac{x}{2}\right)[/tex]
1-sin^2x=cos^2x[tex]\\ \rm\rightarrowtail 1+cos^2x=2cos^2\left(\dfrac{x}{2}\right)[/tex]
[tex]\\ \rm\rightarrowtail cos^2x=2cos^2\left(\dfrac{x}{2}\right)-1[/tex]
[tex]\\ \rm\rightarrowtail cos^2x=cosx[/tex]
[tex]\\ \rm\rightarrowtail cosx=1[/tex]
[tex]\\ \rm\rightarrowtail x=n\pi[/tex]
As x lies in between 0 and 2π
The answers are 0,2πAnswer:
[tex]x=0,\dfrac{\pi}{2}, \dfrac{3\pi}{2},2\pi[/tex]
Step-by-step explanation:
Given equation:
[tex]2-\sin^2x=2 \cos^2(\frac{x}{2})[/tex]
Subtract [tex]2 \cos^2(\frac{x}{2})[/tex] from both sides:
[tex]\implies 2-\sin^2x-2 \cos^2(\frac{x}{2})=0[/tex]
Pythagorean identity
[tex]\sin^2x+\cos^2x =1[/tex]
[tex]\implies \sin^2x =1-\cos^2x[/tex]
Substituting into the equation:
[tex]\implies 2-(1-\cos^2x)-2 \cos^2(\frac{x}{2})=0[/tex]
[tex]\implies 1+\cos^2x-2 \cos^2(\frac{x}{2})=0[/tex]
Cosine double angle identity:
[tex]\cos(2x)=2 \cos^2x-1[/tex]
[tex]\implies 2 \cos^2x=\cos(2x)+1[/tex]
Substituting [tex]\frac{x}{2}[/tex] for [tex]x[/tex]:
[tex]\implies 2 \cos^2(\frac{x}{2})=\cos(2\cdot\frac{x}{2})+1[/tex]
[tex]\implies 2 \cos^2(\frac{x}{2})=\cos x+1[/tex]
Substituting into the equation:
[tex]\implies 1+\cos^2x- (\cos x +1)=0[/tex]
[tex]\implies \cos^2x- \cos x =0[/tex]
Factoring:
[tex]\implies \cos x(\cos x- 1)=0[/tex]
Therefore,
[tex]\cos x=0[/tex]
[tex]\implies x=\dfrac{\pi}{2}, \dfrac{3\pi}{2}[/tex]
and [tex]\cos x-1=0[/tex]
[tex]\implies \cos x=1[/tex]
[tex]\implies x=0, 2\pi[/tex]
Which number is not a perfect square?
(A) 1
(B) 25
(C) 30
(D) 36
Answers
Answer:
Hello! :) I hope I’m correct!!
Step-by-step explanation:
I think (C) 30 is not a perfect square.
(A) 1 = perfect square
(B) 25 = perfect square
(C) 30 = NOT a perfect square
(D) 36= perfect square
{Note: The square root of 30 is not an integer, so therefore 30 is not a square number}
Since the question is asking to find a number that is NOT a perfect square...
The answer would be (C) 30
Hope this helps! If you have any questions about this, feel free to ask! Have a wonderful day! ^-^
~By, BrainlyAnime~ <3
Which is not a cubic number?a.1 b.9 c.27 d.64
Answers
Answer:
9
Step-by-step explanation:
1= 1x1x1 cubic
27=3x3x3 cubic
64=4x4x4 cubic
9 is not cubic
Answer:
Step-by-step explanation:
1x1x1=1³
3x3x3=27=3³
4x4x4=64=4³
Simplify. 5 2+20
5
30
45
72
(The 5 2 is an exponent.)
Answers
Answer:C.45
Step-by-step explanation:
[tex]\Huge\boxed{Your\;answer\;is\;45.}[/tex]
___________________________________________________________
[tex]\boxed{Explanation}[/tex]
So, we have the following equation...
[tex]5^2+20=(?)[/tex]
Remember, 5² also means 5x5.
Therefore, [tex]5x5=25\\25+20=45[/tex]
This means your final answer is 45.
___________________________________________________________
Glad to help!
Could i possibly get brainliest?
[tex]\huge\boxed{Thanks,\;Plip.}[/tex]
Find the degree of the monomial.
-39^4rs^6
The degree is
Answers
Answer:
The answer to your question would be 20
Hope this helps!
ill give brainlyst to the first person to help me:)
Answers
Q2 / 7 minutes and 30 seconds
simplify 3(2x-2)-2(x-2)
A.3x-3
B.3x-4
C.4x-2
D.4x-4
Answers
CAN ANYONE HELP ME??
if anyone can help me out with my math class this quarter, it'd be greatly appreciated. my mental health hasn't been the best, and it's really reflecting in my grades. staying focused, motivated and positive has been the hardest. i can comment my instagram username if anyone can help, so we can talk through dms. :) thank you so much.
Answers
Answer:
i'd give you my insta
Step-by-step explanation:
*I NEED THIS ASAP*
5. number of terms
6. degree
7. leading coefficient
8. end behavior
9. turning point(s)
10. x-intercept(s)
11. relative minimum(s)
12. relative maximum(s)
Answers
Answer:
5 terms
to the fourth degree
leading coeff of 1
3 turning points
end behavior (when x -> inf, y -> inf. When x -> - inf, y -> -inf)
x intercepts are (0,-4) (0,-2) (0,1) (0,3)
Relative min: (-3.193, -25) (2.193, 25)
Relative max: (-0.5, 27.563)
Step-by-step explanation:
The terms can be counted, seperated by the + and - in the equation given.
The highest exponent is your degree.
The number before the highest term is your leading coeff, if there is no number it is 1.
The turning points are where the graph goes from falling to increasing or vice versa.
End behaviour you have to look at what why does when x goes to -inf and inf.
X int are the points at which the graph crosses the x-axis.
The relative min and max are findable if you plug in the graph on desmos or a graphing calculator.
Mount Everest is the highest mountain on Earth, measuring 8848 meters high. It takes 40 days to climb Mount Everest. Suppose that a climber climbed the same number of meters each day. About how many meters would he climb each day (rounded to the nearest 10)?
Answers
Answer: Mount Everest (8,848 m 29,029 ft) was first climbed, when the summit was reached by Edmund Percival Hillary
A chair can be purchased in one of four colors: red, white, green, or blue. The number of chairs purchased in each color is listed below. Red: 150 white: 450 green: 225 blue: 375 Based on the information shown in the list, what is the probability that the next chair purchased will be red?
Answers
Answer:
[tex]P(Red) = 0.125[/tex]
Step-by-step explanation:
Given
[tex]Red: 150[/tex]
[tex]White: 450[/tex]
[tex]Green: 225[/tex]
[tex]Blue: 375[/tex]
Required
Determine the probability of getting a red chair, next.
First, we nee the total number of chairs
[tex]Total = 150 + 450 + 225 + 375[/tex]
[tex]Total = 1200[/tex]
Probability of getting red is then calculated as thus;
[tex]P(Red) = Red/Total[/tex]
[tex]P(Red) = 150/1200[/tex]
[tex]P(Red) = 0.125[/tex]
PLEaseeeEEE help will give brainliest and 20 points!
Given the following polynomial describe the end behavior:
f(x) = 6x^5 + 5x^4 + x-10
Answers
Answer:
Falls to the left and rises to the right
Hope this helps!
need some help with the question in the image
Answers
Answer:
oranges $3.50 per Kg, bananas $3 per Kg
Step-by-step explanation:
let b represent cost of bananas and o represent cost of oranges , then
2b + 3o = 16.5 → (1)
o = b + 0.5 → (2)
substitute o = b + 0.5 into (1)
2b + 3(b + 0.5) = 16.5 ← distribute parenthesis on left side and simplify
2b + 3b + 1.5 = 16.5
5b + 1.5 = 16.5 ( subtract 1.5 from both sides )
5b = 15 ( divide both sides by 5 )
b = 3
substitute b = 3 into (2)
o = 3 + 0.5 = 3.5
cost of oranges = $3.50 and cost of bananas = $3
BRAINLIEST FOR THE CORRECT ANSWER!!
Look at the graph. How would you describe the activity in Nora's Savings Account over the 10th, 11th, and 12th month?
A) The number of dollars did not change.
B) The number of dollars decreased.
C) The number of dollars slightly increased.
D) The number of dollars dramatically increased
Answers
Answer:
D
Step-by-step explanation:
answer choices a/b can be eliminated because it's increasing, and answer choice c can be ruled out because its a dramatic increase!
hope this helps!<3
Need help with question 7- TYSM!
Answers
x = 4
Because the area is 20cm^2, and area = length x width, we just need to divide 20 by the number we have already, which is 5
20/5 = 4
To check this answer, we do 5 x 4 = 20
Hope this helps :)
Answer:
A=½bh
20=5x(½)
multiply by reciprocal both sides
40=5x
divide
8=x
J Problem: Find the slope of a line parallel to each given line. 5) y = 3x - 5
Answers
Answer: y = 3x + 5
............................
plz mark brainlest
This figure represents a small brick that is to be covered on all sides with a striped fabric. How much fabric is needed to cover the brick? Enter your answer as a decimal in the box.
Answers
The amount of fabric needed = surface area of the rectangular prism (brick) = 146.5 cm²
What is the Surface Area of a Rectangular Prism?The surface area of a rectangular prism is given as, A=2(wl+hl+hw).
The brick is a rectangular prism. Therefore, the amount of fabric needed to cover the brick would equal the surface area of the brick.
Given the following:
l = 6 cmw = 3.5 cmh = 5.5 cmPlug in the values into the formula:
The surface area of the rectangular prism (brick) = 2(3.5 × 6 + 5.5 × 6 + 5.5 × 3.5) = 146.5 cm²
Learn more about surface area of rectangular prism on:
https://brainly.com/question/1310421
Answer:
The Answer Is : 146.5
Step-by-step explanation:
I Just Took The Test And I Have Proof
What is the gradient of the blue line? Need asap
Answers
Answer:
the gradient is -5/1 or -5 because it is a negative slope meaning you would go from top to bottom.
Step-by-step explanation:
mr clean
Answer:
-5
Step-by-step explanation:
The points through which the line passes are :-
(-1, 0) and (-2, 5)
Slope (m) = 5 - 0 / -2 + 1
= 5 / -1
= -5
I got another question
Answers
x = -4.09 and 18.09
In this context, 18.09 makes the most sense to be an answer, because the stream wouldn’t hit the ground ‘negative’ feet away from the sprinkler, so -4.09 doesn’t make sense
Q7: What is the slope of the line represented by the equation 2x + 6y = 5
Answers
Answer:
-1/3
Step-by-step explanation:
2x + 6y = 5
6y = -2x + 5
y = -1/3x + 5/6
Representing the equation in slope intercept form, the slope of the line represented by the equation is - 1/3
Given the equation :
2x + 6y = 5Slope intercept format :
y = bx + c ; b = slope2x + 6y = 5
6y = - 2x + 5
Divide both sides by 6 to isolate y
y = - 1/3x + 5/6
Hence, the value of slope, b in the equation is - 1/3
Learn more : https://brainly.com/question/18106342
f(x) = 3x + k
f(4) = 10
easy equation but I just need a confirmation that the answer is actually -2 lol
Answers
Answer:
-2
Step-by-step explanation:
f(x) = 3x + k
f(4) = 10
f(4) = 3×4+k
10 = 12 + k
10-12 = k
k = -2
on the day a coffee shop opened it had 140 customers 75% of the customers ordered a large coffee. how many customers ordered a large coffee?
Answers
= 65% x 140 = 91
65..............100
n.................140
n = 140 x 65 : 100 = 91
What is y+2=-7(x-4) in slope intercept form
Answers
Answer:
y= -7x+26
Step-by-step explanation:
not sure how to explain... just followed order of operations
Hello, can somebody help?
x+4y=9
if x = y+4
Answers
Answer:
4x + 8y =12 [inconsistent]
x + 2y = -3
x = 6 [inconsistent]
x = -2
2y = 5x + 6 [inconsistent]
-10x + 4y = 8
x - 3y=2
4x - 12y = 8 [dependent]
x+ 4y = 12 [independent]
2x - 8y = 4
4x + 8y = -6 [dependent]
6x + 12y = -9
4y - 2x = 6 [inconsistent]
8y = 4x -12
y - x = 0 [independent]
y = -x
2y - x = 4
1/2x - y = 2 [inconsistent]
Step-by-step explanation:
Write the missing decimal so that each pair adds to 1. 2/5+decimal =1
Answers
Answer:
0.6
Step-by-step explanation:
We can get the answer by subtracting the decimal by one.
2/5 = 0.4
1 - 0.4 = 0.6