Answer:
If Then proof has been explained below!
Step-by-step explanation:
1.) If segment XY ║ ZW, then the 154° angle ≅ ∠2 (vertical angles)
2.) If segment XY ║ ZW, then ∠2 is complementary to ∠4
3.) If ∠2 is complementary to ∠4, then ∠4 = 28°
I hope this helps! If you have any questions, feel free to add it into the comments and please rate my answer and consider marking as brainliest!
Please ASAP let me know the answer!
A cylinder has a radius of 4 units and a height of 7 units. What is the volume in cubic units
Answer:
The answer is 352 cubic units
Three friends ate 3/4 of a pizza. The 3 friends ate
equal amounts. How much of the pizza did each
friend eat?
Answer:
each friend ate 1/4 of pizza
Step-by-step explanation:
3/4 ÷ 3
= 1/4
a winter coat was priced at 200. each month for three months, thr price was reduced by 15. how much was the coat reduced in price
He got a job selling cell phone services. He will be compensated $20 each hour he
works. He also gets a job at a competing cell phone store. His deal is that he will earn
$10 each hour, BUT he will start off with a bonus of $50 at the start of each day.
1) create equations for each man's compensation
2) After how many hours will they earn the same amount?
3) in an 8 hour day, who will earn more? How much more
Answer:
I think you should go with 3
It takes me into 30 minutes to walk from home to school when walking at 5 km per hour What is her average cycling speed If it takes her 15 minutes by bike to travel the same distance
Answer:
10 km/h
Step-by-step explanation:
I'm not really sure about this but no ones answering your question and I wanna help.
So basically to calculate the average speed you need to divide the distance travelled by time taken
But you do not have the distance traveled. But it is mentioned that it takes u 30 minutes to walk from home to school when walking at 5 km/h so to find the distance all you have to do is... 30 x 5 = 150 km
Now that we have the time and distance all we have to do is find the average speed.
Average Speed = distance ÷ time
So 150 ÷ 15 = 10 km/h
how do you solve this ?
Answer:
x = 37 mm
Step-by-step explanation:
using the Pythagorean theorem:
m² = 13² - 5² = 169 - 25 = 144
m = √144 = 12 mm
x² = 12² + 35² = 144 + 1225 = 1369
x = √1369 = 37 mm
Answer:
x=37.3
Step-by-step explanation:
Since we're looking for "x" we need to use "the Pythagorean theorem".
13mm will be our "A" and 35mm will be our "B" will "x" being the hypotenuse.
Since x is the hypotenuse, it needs to be a number greater than 13 and 35.
c=√(a² + b²)
Making it c=√(13² + 35²)
Making C=37.336 or 37.3
Therefore making, x=37.3
A rectangular garden has a width of 7x -2 and a length of 3x +10. Find the perimeter.
Answer:
20x + 16
Step-by-step explanation:
Width (w) = 7x - 2
Length (l) = 3x + 10
Perimeter = 2*(l + w)
= 2* (3x + 10 + 7x - 2)
= 2* (3x + 7x + 10 - 2 ) {Combine like terms}
= 2* ( 10x + 8) {Use distributive property: a(b +c) =(a*b) + (a*c)}
= 2*10x + 2*8
= 20x + 16
Consider the graph of the function f(x)=logx.
Match each transformation of function f with a feature of the transformed function.
Transformation of function f with a feature of the transformed function.
g(x)=-f(x-3) is vertical asymptote of x=3j(x)= f(x+3) is x-intercept of (-2,0)h(x)=3f(x)-3 is domain of (0, ∞)What is asymptote?An asymptote is a line that the graph of a function approaches as either x or y go to positive or negative infinity. There are three types of asymptotes: vertical, horizontal and oblique
Given function is : f(x)= log x
g(x)= -f(x+3)= - log(x+3)g(x)=-f(x-3) is vertical asymptote of x=3
j(x)= f(x+3) = log (x+3) thenj(x)= f(x+3) is x-intercept of (-2,0)
Domain: As (0,∞),{x | x>0}h(x)=3f(x)-3 is domain of (0, ∞)
Learn more about asymptote here:
https://brainly.com/question/4084552
#SPJ2
Answer:
Step-by-step explanation:
200% of what number is 350?
Answer:
The answer is 175
Kaylee deposited $1,450 in an account that earns 2.596 interest compounded annually. Which function represents the situation, where tis
the time in years?
fit) = 1450(2.5)
f(t) = 1450(1.25)
FO) = 1450(.025)
f(t) = 1450(1,025)
Answer:
[tex]f(t) = 1450(1.025)^{t}[/tex]
Step-by-step explanation:
Given
[tex]P =1450[/tex] -- principal
[tex]r = 2.5\%[/tex] --- rate
[tex]n = 1[/tex] --- compounded once a year
Required
Determine the function for compound interest
Compound interest f(t) is calculated as:
[tex]f(t) =P(1 + r/n)^{nt[/tex]
So, we have:
[tex]f(t) = 1450(1 + 2.5\%/1)^{1 * t}[/tex]
[tex]f(t) = 1450(1 + 2.5\%)^{t}[/tex]
[tex]f(t) = 1450(1 + 0.025)^{t}[/tex]
[tex]f(t) = 1450(1.025)^{t}[/tex]
HELPPPPPPP PLEASEEEEEEE!!!!!!!!
:((((((
Tell whether the angle measures can be those of a triangle.
20°, 160°, 20°
Yes, can be those of a triangle.
No, cannot be those of a triangle.
No.
The 3 angles of a triangle need to equal 180 degrees.
The sum of the 3 given angles is greater than 180 ( 160 + 20 + 20 = 200) so it cannot form a triangle.
Please answer correctly! I will mark you as Brainliest!
Multiply the length by width by the height/3
7 x 6 x 8/3 = 112 in^2
The answer is 112 in^2
Answer:
112
Step-by-step explanation:
What is the value of x in the figure below?
Answer:
B;24
Step-by-step explanation:
Identify the end behavior of the function f(x) = 6x^4 - 12x^3 +8x -10
Answer:
Step-by-step explanation:
This is a quartic equation with a positive coefficient for x^4 so it is shaped like an M xo ir rises to both the left and the right.
A total of 397 tickets were sold for the school play. They were either adult tickets or student tickets. There were 53 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Which of the following describes the root of the following function? f[x] = -x2 3x + 1 Select one a. Exactly 1 rational root. b. 2 distinct rational roots. c. 2 distinct irrational roots. d. 2 distinct imaginary roots.
Answer:
please stop being lazy by using OCR! next time type the question!
there's nothing such as = -x2 3x + 1
it's probablhy f(x) = -x² + 3x + 1
Answer:
2 distinct irrational roots
Step-by-step explanation:
will give 20 brainly PLEASE NEED HELP NOW
plz put the answer as simple as a b c or d
Answer:
1. A
2. C
Step-by-step explanation:
f (x) = -3x + 1
g(x) = x2 + 2x – 5
Find g (f (x))
Answer: f
= x = − 3 x + 1 = x = 1 4 g = x 2 + 2 x − 5f( x ) = f ( x )
Step-by-step explanation:
The Bungling Brothers Circus is in town and you are part of the crew that
is setting up its enormous tent. The center pole that holds up the tent
is 70 feet tall. To keep it upright, a support cable needs to be attached to
the top of the pole so that the cable forms a 60° angle with the ground.
a) How long is the cable?
b) How far from the pole should the cable be attached to the ground?
Answer:
a. 80.83 ft b. 40.42 ft
Step-by-step explanation:
Let h = height of pole = 70 ft, L = length of cable and x = distance of cable on ground to pole and Ф = angle between cable and ground.
a) How long is the cable?
Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and L being the hypotenuse side, by trigonometric ratios,
sinФ = h/L
L = h/sinФ
L = 70 ft/sin60°
L = 70 ft/0.8660
L = 80.83 ft
b) How far from the pole should the cable be attached to the ground?
Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and x being the adjacent side, by trigonometric ratios,
tanФ = h/x
x = h/tanФ
x = 70 ft/tan60°
x = 70 ft/1.7321
x = 40.42 ft
The length of the cable is 80.83 ft and the distance from the pole should the cable be attached to the ground is 40.42 ft and this can be determined by using the trigonometric function.
Given :
The Bungling Brothers Circus is in town and you are part of the crew that is setting up its enormous tent. The center pole that holds up the tent is 70 feet tall. To keep it upright, a support cable needs to be attached to the top of the pole so that the cable forms a 60° angle with the ground.a) The trigonometric function can be used in order to determine the length of the cable.
[tex]\rm sin\theta=\dfrac{h }{L}[/tex]
where h is the height of the pole, L is the length of the pole, and [tex]\theta[/tex] is the angle from the ground.
Substitute the known terms in the above expression.
[tex]\rm L=\dfrac{h }{sin\theta}[/tex]
[tex]\rm L = \dfrac{70}{sin60}[/tex]
L = 80.83 ft.
b) The trigonometric function can be used in order to determine the distance from the pole should the cable be attached to the ground.
[tex]\rm tan \alpha =\dfrac{h}{x}[/tex]
where x is the distance between pole and cable.
Substitute the known terms in the above expression.
[tex]\rm x = \dfrac{70}{tan 60 }[/tex]
x = 40.42 ft.
For more information, refer to the link given below:
https://brainly.com/question/21286835
Which inequality is true if p = 3.4 ?
Answer:
the shape isnt angled thats what it means
Step-by-step explanation:
8
p varies directly as the square root of q.
p = 8 when q = 25.
Find p when q = 100.
Answer:
16
Step-by-step explanation:
p=k√q
8=k√25
8=k5
k=8/5
p when q=100
p=8/5*√100
p=8/5*10
p=16
The price of an mp3 player is reduced by 60%. The expression c – 0.6c represents the sale price. Which represents an equivalent expression to determine the sale price?
Answer:
0.4c
Step-by-step explanation:
Given that :
Price of mp3 is reduced by 60%
Let initial price of mp3 = c
Discount on price = 60% = 0.6
Discounted price = initial price - discount on price
Discounted price = c - 0.6c
Discounted price = 0.4c
Is (3,10) a solution to this system of equations?
y=2x+3
y=x+7
Answer: no
Step-by-step explanation:
plug in (3,10) to y=2x+3
10=2(3)+3
10=6+3
10[tex]\neq[/tex]9
Can someone plz help me
Answer:
54 sq ft
Step-by-step explanation:
6ft x 3 ft = 18 sq ft
9 ft x 4 ft = 36 sq ft
18 sq ft + 36 sq ft = 54 sq ft
The choices should be in sq ft, not in sq cm
The value of area in sq cm would be far greater than the value of area in sq ft.
I need help on the circled problem please
Answer:
There would be infinite solutions because the equations are exactly the same.
I hope this answered your question
vocab word for this definetion
Answer:
whats the definition?
Step-by-step explanation:
The roots of 3x2 + x = 14 are
1. imaginary
2. real,rational,equal
3.real,rational,unequal
4.real,irrational,unequal
Answer:
3
Step-by-step explanation:
3x2 +x −14 = 0 12 −4(3)(−14) = 1+168 =169 = 132
The roots of 3x² + x = 14 are real, irrational and unequal
What is Quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x, ax² + bx +c=0 with a ≠ 0 .
Given equation is :
3x² + x = 14
3x² + x - 14=0
we have, a=3, b=1 c=-14
D= b²-4ac
= 1²-4*3*(-14)
= 1+168
= 169
As, D>0
Hence, the roots are real.
Now,
x= -b±√b²-4ac/2a
= -1±√169/2*3
=-1±13/6
x= -1-13/6 and x= -1+13/6
x= -7/3 and x= 12/6=2
Hence, the roots are real, irrational and unequal.
Learn more about quadratic equation here:
https://brainly.com/question/2263981
#SPJ2
Find the total area.
Answer:
area = 164.52 cm²
Step-by-step explanation:
area = (12x6) + (12x3x0.5x2) + (3.14)(0.5)(6²) = 164.52 cm²