Answer:
x = 36 , y = 64 , z = 80
Step-by-step explanation:
Exterior angle equals the sum of opposite interior angle.
3x + 8 = x + z
3x - x - z = -8
2x - z = -8 ------------ (I)
z + 3x - 8 = 180 {linear pair}
3x + z = 180 + 8
3x + z = 188 --------------(II)
Add (I) and (II) and z will be eliminated and we can find the value of 'x'
(I) 2x - z = -8
(II) 3x + z = 188 {Now add}
5x = 180
x = 180/5
x = 36
Plugin x = 36 in equation (II)
3*36 +z = 188
108 + z = 188
z = 188- 108
z = 80
x + y + z = 180 ----------------(III) {angle sum property of triangle}
36 + 80 +y = 180
116 + y = 180
y = 180 - 116
y = 64
Calculus, derivatives. Please help! Show work, if possible. Thanks! :)
[tex]y = x + \pi[/tex]
Step-by-step explanation:
We need to find the slope of the line tangent to y at [tex]x=-\pi[/tex] and we can do that by calculating the derivative of y at that point. We know that
[tex]y'(x) = \dfrac{d}{dx}(\tan{x}) = \sec^2{x}[/tex]
and
[tex]y'(-\pi) = \sec^2(-\pi) = 1[/tex]
To find the equation of the tangent line, we know that the line passes through the point [tex](-\pi, 0)[/tex] so we can write the slope-intercept form of the line's equation as
[tex]0 = (-\pi) + b \Rightarrow b = \pi[/tex]
Therefore, the equation of the line tangent to the point [tex]x = -\pi[/tex] is
[tex]y = x + \pi[/tex]
The graph of the two functions is shown above.
My dinner cost $24.15 plus tip. I paid $28.98 total. What tip percentage did I leave?
Answer:
24.12+28.90
Step-by-step explanation:
Write an equation of the line perpendicular to the given line that contains P.
P(5,-3); y=1/3x+4
Answer:
P(y,x)=P
y = 1/3x + 4
Step-by-step explanation:
Write the equation of the line that passes through the points (-3, -3) and (8,7).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
y + 3 = 10/11(x + 3)
Step-by-step explanation:
Given the points (-3, -3) and (8, 7), we can use these coordinates to solve for the slope of the line using the formula:
[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]
Let (x1, y1) = (-3, -3)
(x2, y2) = (8, 7)
Substitute these values into the slope formula:
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{7 - (-3)}{8 - (-3)} = \frac{10}{11}[/tex]
Thus, slope (m) = 10/11.
Next, using the slope (m) = 10/11, and one of the given points (-3, -3), we'll substitute these values into the point-slope form:
y - y1 = m(x - x1)
Let (x1, y1) = (-3, -3)
m = 10/11
y - y1 = m(x - x1)
y - (-3) = 10/11[x - (-3)]
Simplify:
y + 3 = 10/11(x + 3) this is the point-slope form.
Which of the following is true given that - 2/5 < 1/3
A.
is to the right of 1/3 on a horizontal number line
B.
is at the same place as 1/3 on a horizontal number line
C.
is to the left of 1/3 on a horizontal number line
D.
is the opposite of 1/3 on a horizontal number line
Answer:
C
Step-by-step explanation:
Is to the left of 1/3 on a horizontal number line.
i need help with this
Answer:
I love you baby
Step-by-step explanation:
I love you baby to quit all night I love you baby
Step by Step What do I do
Answer:
7:46
Step-by-step explanation:
The clock says 9:20. I am assuming that the question is related to the clock on the left. It asks for the time an hour and 34 minutes ago. One hour from 9:20 is 8:20. Now we work with the minutes. 8:20 minus 34 minutes is 7:46.
Answer:
7:46
Step-by-step explanation:
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
6
Step-by-step explanation:
Hope it helps pls mark brainliest if you would
A dairy needs 357 gallons of milk containing 5% butterfat. How many gallons each of milk containing 7% butterfat and milk containing 1% butterfat must be used to obtain the desired 357 gallons?
9514 1404 393
Answer:
238 gallons 7%119 gallons 1%Step-by-step explanation:
Let h represent the number of gallons of high butterfat content milk. Then 357-h will be the number of gallons of 1% milk. The total amount of butterfat in the mix is ...
0.07h +0.01(357 -h) = 0.05(357)
0.06h = 14.28 . . . . . . . . . . subtract 3.57, collect terms
h = 238 . . . . . . . . . . divide by 0.06
357-h = 357 -238 = 119
238 gallons of 7% and 119 gallons of 1% are needed.
Given the diagram, complete the two-column proof and
solve for x.
Answer:
x=7
Step-by-step explanation:
11x+57=15x+29 [Alternate exterior angles]
57-29=15x-11x
28/4=x
7=x
Answer:
Nnnnnnnnnnnnnnn
7x =x
Write a quadratic equation in STANDARD FORM given the roots:
1, 1/2
Answer:
f(x) = 2x^2 - 3x + 1
Step-by-step explanation:
The root 1 is associated with the factor (x - 1).
The root 1/2 is associated with the factor (x - 1/2), which in turn is equivalent to (2x -1)
The quadratic in question is f(x) = (x - 1)(2x - 1). To write this in standard form, perform the indicated multiplication:
f(x) = 2x^2 - 2x - x + 1, or f(x) = 2x^2 - 3x + 1
NEEED HELP ASAP PLS.................
The function h(x) is a transformation of the square root parent function, f(x)= sqrt x . What function is h(x) ?
Answer:
You can actually change it however you want I just happen to add two underneath the radical which shifted the graph to the left and I subtracted five on the outside of the radical which shifted the graph down five
The function h(x) is a transformation of the square root parent function, f(x)= √x then the function h(x) is√x+2 - 5
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
f(x) = √x
f(x) is a parent function.
a parent function is the core representation of a function type without manipulations such as translation and dilation.
We have to find the function h(x) which is obtained by transforming the function f(x)
From the given graph, the function f(x) is moved up about 2 units and the shifted left of 5 units
h(x) =√x+2 - 5
Hence, the function h(x) is a transformation of the square root parent function, f(x)= √x then the function h(x) is√x+2 - 5
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ7
100 points and brainleist to whoever gets these right
Answer:
the answer is 8 that is
4/1/2
4÷1/2
4×2/1=
8
Answer:
#14/(1/2) = 4*2 = 8#2(12.034) + 5/8 = 12.034 + 0.625 = 12.659#3(2/3)/(1/6) = (2/3)*6 = 4#4(3.406) + 3 4/7 = 3.406 + 3.571 = 6.977 (4/7 is rounded to the nearest thousandths)#53/5 = Rational0 = Whole & Integer & Rational -25/5 = -5 = Whole & Integer & RationalA line segment is 20 units long. The line segment is translated up 6 units and left 8 units. The length of the resulting line segment is units because translations length.
The first box is 20 and the second box is preserve
Answer:
A line segment is 20 units long. The line segment is translated up 6 units and left 8 units. The length of the resulting line segment is 20 units because translations do not change the length.
-11/16*(-4/33) van you please help me answer this question?
Answer:
1/12
Step-by-step explanation:
[tex] - \frac{11}{16} \times - \frac{4}{33} [/tex]
if you know how to cancel, you can cancel the 4 and 16. The 4 becomes a 1 and 16 becomes a 4. Next cancel the 11 and 33. the 11 becomes a 1 and the 33 becomes a 3.
[tex] - \frac{1}{4} \times - \frac{1}{3} [/tex]
multiply, two negatives make a positive
[tex] \frac{1}{12} [/tex]
In the playing card deck below what is the chance of pulling 2 face cards without replacing the cards in between pulls? Answer in decimal form rounded to the 6th digit after the decimal
Answer:
.049774
12/52 x 11/51 = .04977376
Somebody Help please !!!!!!
Answer:
The image is blocked
Step-by-step explanation:
2.57 mi/hr= how many m/min? Simplify your answer, round to the nearest tenth. Thanks.
Answer is 68.9 m/min.
Step-by-step explanation :-Let's convert the units. To do this, we need to cancel the original units to get the units we want. We achieve this the following way :-
[tex]2.57 \frac{mi}{hr} \times \frac{1069.34 \: m}{1 \: mi} \times \frac{1 \: hr}{60 \: min} [/tex]
[tex] =>68.9 \: \frac{m}{min} [/tex]
Therefore, 2.57 mi/hr is the same as 68.9 m/min .
✍️ By Benjemin ☺️
Each week Christian earns $X fixing bicycles and receives $10 as his allowance to find how much he will earn in total over two weeks Christian calculate the following X +10+ X +10 what is another way Christian can calculate how much he will earn in total over the two weeks drag and drop the equivalent expression in the box
Answer:
B
Step-by-step explanation:
Identify the domain
of the following function.
PLS HELP
Math
1. What is 1 1/2 + 3/4
Answer:
2 1/4
Step-by-step explanation:
First, for adding, subtracting, and comparing fractions, it is good to adjust both fractions to a common denominator. The common denominator you can calculate as the least common multiple of both denominators = LCM ⇒ (2, 4) = 4. We should do = three halfs + three quarters = nine quarters. Thus, 2 1/4 or 2.25 is the answer.
1 1/2 + 3/4 = 9/8 = 2 1/4 or 2.25
Feel free to rephrase this in your own words! Hope this helps!
2/3 times 21 in simplest form
Answer: 14
Step-by-step explanation:
you would write 2/3 X 21/1 and you would multiply 21 X 2 which is 42 divide that by 3 and you get 14
Can someone help me please thank you :)
Answer:
a
Step-by-step explanation:
please helpppppppppppppppppppp
Answer:
I got c
Step-by-step explanation:
18 minus plus 5 plus 7 is -30 so it dont represent zero
Answer:
C
Step-by-step explanation:
Maria use 2/3 cups of powder mix every 2 gallons of water what is strength of the sports drink
Answer:
a
Step-by-step explanation:
wht not
what is the sum of the infinite geometric sequence 2,-1,1/2,1/4,...?
with solution
The common ratio with the range
−
1<r< 1
the formula is
S=a11−r
We will use this formula because,
r=12
Sum
S=a11−r=21−12=4
God bless....I hope the explanation is useful...
All of the following are steps your group should follow to be effective, except: a. Identify and define the problem. b. Analyze the problem. c. Discuss one solution. d. Take action. Please select the best answer from the choices provided A B C D
Answer:
C) Discuss one solution.
Step-by-step explanation:
There could be more than one solution, so it's best to discuss all of the solutions and decide which is best ^^
I also got it right on Edge :)
Can someone help me with this plzzzzzz
how much of the circle is shaded 1/3 3/7
Answer:
876
Step-by-step explanation:
2 3 - 3 / 23- sa