Step-by-step explanation:
the sum of all angles around a single point on one side of a line is always 180° (a line can always be seen as the diameter of an imaginary circle, so each side corresponds to 180°).
the angles on one side of a line crossed by a second line are mirrored but otherwise exactly the same as on the other side of the line.
a parallel line crossing a third line must have the exact same angles with this third line as the other parallel line. otherwise they would not be parallel. you can say a parallel line mimics the exact same behavior as the other line it is parallel to.
so,
c = 180 - 35 = 145°
a = c = 145°
b = 35°
d = 180 - 110 = 70°
e = d = 70°
f = 110°
g = 180 - 125 = 55°
i = g = 55°
h = 125°
j = 180 - 130 = 50°
m = j = 50°
o = k = d = e = 70° (as this line crosses 2 levels)
l = f = 110°
n = 180 - m - o = 180 - 50 - 70 = 60°
s = 180 - 23 = 157°
p = 23°
r = 68°
q = 180 - p - r = 180 - 23 - 68 = 89°
t = 180 - 68 = 112°
v = w = z = 132° (as this line crosses 2 levels)
A = 180 - 132 = 48°
y = x = u = A = 48°
B = 180 - 39 - 47 = 94°
D = B = 94°
C = 39 + 47 = 86°
E = 47°
F = B + 39 = 94 + 39 = 133°
The lateral area of a cone is 19.2π in2. The radius is 2.4 in. Find the slant height.
The slant height of a cone with lateral surface are of 19.2π inches squared and radius of 2.4 inches is 8 inches.
Lateral surface area of a coneThe formula for the lateral surface area of a cone is described as follows:
Lateral area = πrl
where
r = base radiusl = slant heightTherefore,
Lateral area = 19.2π inches²
r = 2.4 inches
Lateral area = π × 2.4 × l
19.2π = 2.4πl
divide both sides by 2.4π
l = 19.2π / 2.4π
l = 8 inches
learn more on cone here: https://brainly.com/question/27170515
Bella baked a two layer cake.The bottom layer has dimensions of 4 inch x 6inch x 8inch.The dimensions of the top layer are half bottom.What is the volume of the top layer.
Answer:
30 is the answer because you need to multiple 4 and 6
Find the distance between (-3, -4) and (2, -4)
Answer:
[tex]\boxed{\sf{5}}[/tex]Step-by-step explanation:
Distance can be calculated using a distance formula.
⇒ (-3,-4) and (2,-4)Distance formula:
[tex]\Longrightarrow: \sf{\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} }[/tex]
The distance between (-3,-4) and (2,-4) are:
[tex]\Longrightarrow: \sf{\sqrt{\left(2-\left(-3\right)\right)^2+\left(-4-\left(-4\right)\right)^2}}[/tex]
Then, you solve.
[tex]\Longrightarrow:\sqrt{\left(2-\left(-3\right)\right)^2+\left(-4-\left(-4\right)\right)^2}=\boxed{\sf{5}}[/tex]
Therefore, the distance between (-3,-4) and (2,-4) is 5, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
help me with this question please
Answer:
I'm sorry I don't know wish I could help you out
PLEASE HELP ME! WILL MARK BRAINLIEST!
Answer:
-1
Step by step explanation:
[tex]\dfrac{4^3/(-12+2^2)}{(2\cdot 3)^2+(-5 \cdot 2 \cdot 3) +2}\\\\\\=\dfrac{-\tfrac{64}8}{36-30+2}\\\\\\=-\dfrac{8}{8}\\\\=-1[/tex]
How do I solve this hmm
Answer:
put the numbers that are x into the equation. you always try to find y in this problem
Step-by-step explanation:
y=x+8
the first x is 0 so we do
y= 0+8
y=8
and you keep repeating this where x=1 and x= 2
Is -\dfrac{59}{3}+\dfrac{4}{63}−
3
59
+
63
4
minus, start fraction, 59, divided by, 3, end fraction, plus, start fraction, 4, divided by, 63, end fraction rational or irrational?
Answer:
it is rational
Step-by-step explanation:
trust me
Help! Please!
Melanie bought a trampoline for her son. The price of the trampoline was $498.00 in a city where the sales tax is 6.7%. Find the sales tax and the total cost of the trampoline.
Sales tax: $_____
Answer:
$22.11. $23.41. $23.79.
Step-by-step explanation:
2.36 ÷ $32.00 = 0.0735. Sales tax was charged by the department store at a rate of 7.375%.
Answer: Mr. Smith should pay the department store $32.00 plus $2.36 in sales tax for a total bill of $34.36.
Sales tax rates vary from state to state. Retail sales tax rates are set by the individual states in the United States and vary from 0 to 9% of the sales price. Sales tax is usually the responsibility of the merchant to collect and submit to the state, and stated separately (or implicitly added at the time of the sale) to consumers. Let's look at some
The pressure on a scuba diver at sea level is 14.7 pounds per square inch (psi). The pressure increases 0.445 psi for each foot of depth. Suppose the pressure on a diver is 41.4 psi. How deep is she?
Answer:
14.7÷41.4=0.355
the answer is 0.355
If a system has no solution, how does it look on the graph? What about infinite solutions?
Hi!
If a graph has no solutions, the lines will be parallel.
Lines have "solutions" when they intersect with eachother. If there are no solutions, the lines will not intersect. Only parallel lines don't intersect.
If a graph has infinite solutions, the lines will be the same.
If a line has infinite solutions, they have to constantly be intersecting. That means the lines will have to be directly on top of each other, meaning they will be the same line.
SEE BELOW for graphs. First graph = NO SOLUTIONS; Second graph = INFINITE SOLUTIONS
Explanation:
No solution:
A graph can only have no solutions if the two lines are parallel. These lines can only be parallel if they have the same slopes, but different y-intercepts. Please check attached graph (1) for illustration of no solution.Infinitely many solutions:
A graph can have infinitely many solutions if the two lines overlap. This can only happen if both the equations are the same or if simplified, are equivalent. Please check attached graph (2 and 3) for illustration of infinitely many solutions.helpppppp meeeee pleaseeeeeeeee thanksssssss :)))))))
Answer:
815.76 is your answer
Step-by-step explanation:
Which of the following represent the value of the missing side? Round to the nearest tenth.
A. 2.0
B. 2.5
C. 2.9
D. 3.0
Answer:
x=2.0
Step-by-step explanation:
Assuming side x is tangent to the circle, we know that this is a right triangle
One of the sides is the radius. We know the radius is 1.5 units long
The other is 1.5+1 units. The length of this side is 2.5 units.
Using the pythagorean theorem...
x²+1.5²=2.5²
x²=6.25-2.25
√x²=√4
x=2
Hope this helps!
Please answer. I need it to be right.
Answer:
75
- _____________
10x^4−27
Step-by-step explanation:
Answer:
Step-by-step explanation:
First we do all brcakets becuase we are following the law of BODMAS.
2×-5×3 = -10×3= -30
Now we do all powers and indices:
-5²= 25
10²= 100
3³ = 27
Now we do the top of the fraction:
25+100 = 125
Now we do the bottom bit of the fraction:
-30+27 = -3
Now we divide 125 by -3:
-41 2/3
-41.666.....
Use the functions and the scenario to solve the problem.
f(x)=1/2x+6
g(x)=x−3
Shiloh and Leanne are asked to evaluate f(x)−g(x).
Shiloh suggests f(x)−g(x)=(x−3)−(1/2x+6)=1/2x−9.
Leanne suggests f(x)−g(x)=(12x+6)−(x−3)=−12x+9.
Evaluate each student's answer.
Select two answers. Select the correct evaluation of Shiloh's work and the correct evaluation of Leanne's work.
The function f(x) - g(x) is an illustration of a composite function
Leanne's end result of f(x) - g(x) = -1/2x + 9 is correct
How to estimate the student's answer?The functions are given as:
f(x) = 1/2x + 6
g(x) = x - 3
The function f(x) - g(x) is calculated using:
f(x) - g(x) = 1/2x + 6 - x + 3
Collect like terms
f(x) - g(x) = 1/2x - x + 6 + 3
Evaluate the like terms
f(x) - g(x) = -1/2x + 9
By comparing the above solution to the students' response, we can see that:
Leanne's end result of f(x) - g(x) = -1/2x + 9 is correct
Read more about composite functions at:
https://brainly.com/question/13502804
How do you find perimeter?
Answer the questions below and show all of your
1. A toy is shaped as a triangular prism. The toy has a
base of 108 square inches. What is the height of the toy it
the volume is 729 cubic inches?
Answer:
6.75
Step-by-step explanation:
729=1/2*216h
729=108h
h=6.75
I think idrk
please help with 2 in the picture.
Answer:
4
Step-by-step explanation:
HELPPPPP
Three students are randomly selected from 10 students of different weights.
Find the probability that the heaviest one out of the selected students is the 4th heaviest among the 10 students.
Answer:
3/100
Step-by-step explanation:
3 students out of 10 were chosen and the fourth heaviest is 1/10
3/10 * 1/10 = 3/100
Which transformations take the graph of f(x) = e^x to the graph of g(x) = e^x+2 + 3 will mark Big brain
Transforming the function f(x) would change its formula to g(x)
The transformation of f(x) to g(x) are
Transform the function 2 units leftTransform the function 3 units upHow to determine the transformation?The function is given as:
f(x) = e^x
Shift the function 2 units left
f'(x) = e^x + 2
Shift the function 3 units up
f''(x) = e^x + 2 + 3
Rewrite as:
g(x) = e^x + 2 + 3
Hence, the transformation of f(x) to g(x) are (b) and (c)
Read more about transformation at:
https://brainly.com/question/4057530
Amy played 245 games of solitaire. She won 4 out of every 5 games. How many games did she lose?
Answer:
How much money did Amy wager on her games?
Step-by-step explanation:
Is she in debt?
Answer:
49
Step-by-step explanation:
So, you can just do 245x1/5.
I got 1/5 from "how many did she LOSE?"
5/5-4/5=1/5.
She lost 49 games.
Please help In triangle ABC, m∠A=47∘ and m∠B=70∘. What is the measure of angle C?
Answer: <C = 63°
Step-by-step explanation:
The interior angles in all triangles always equal 180°
47 + 70= 117
180 - 117 = 63°
<C = 63°
hope this helps :)
Answer this please thank you
I need help with 20.
Step-by-step explanation:
why ? you did it right there already.
the numerator is the top part of the fraction, the "counting" part (how many units of a certain type or size are there).
the denominator (the bottom part) is defining the type or size of units described by the fraction.
so, we are adding 4 to the numerator of 2/5, making it (2+4)/5 = 6/5
what do we need to add to the denominator (the bottom part) to make the fraction have the value of 1/2 ?
so, what x would make 6/x = 1/2 ?
6 = x/2
x = 6×2 = 12
so, we need to get 12 in the denominator, where we have currently 5.
therefore, we need to add 12-5 = 7 to it.
so that
6/(5+7) = 6/12 = 1/2
Which expression has a value of -12?
F (-10 + 4)= (11 - 9)
G (3 - 5).(-4 + 10)
H (5 – 7 +22) = (-2)
(7 - 10) (3 - 7)
Answer:
G.
Step-by-step explanation:
(3 - 5).(-4 + 10)
= -2 * 6
= -12.
9. Determine if x + 1 is a factor of x ^ 4 - 4x ^ 2 - 4x - 1 Justify your answer.
Answer:
No
Step-by-step explanation:
x + 1 is not a factor of the polynomial because the remainder is 2 and not 0
Solve the equation 2×-31=3(×+2)
Answer:
x=-37
Step-by-step explanation:
First, rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:
2*x-31-(3*(x+2))=0
(2x - 31) - 3 • (x + 2) = 0
Pulling out like terms
3.1 Pull out like factors :
-x - 37 = -1 • (x + 37)
Equation at the end of step
-x - 37 = 0
Solving a Single Variable Equation:
4.1 Solve : -x-37 = 0
Add 37 to both sides of the equation :
-x = 37
Multiply both sides of the equation by (-1) : x = -37
A linear model is used to determine the amount owed on a loan of $5,000 with simple interest of 4.25%. The model is A = 5000 + 5000(0.0425t), where A is the Amount (total principal plus interest) required to
Use the model to determine how long it would take for the loan amount to reach $7,000. Round to the nearest tenth
Answer:
9.4
Step-by-step explanation:
Hey there!
The question is asking us to use the model to find how long it would take for the loan amount to reach 7,000
In order to answer this, we need to make 7,000 equal to the equation:
7000=5000+5000(0.0425t)
Subtract 5000 from both sides
2000=5000(0.0425t)
Now we simplify the RHS
2000 = 212.5t
Now you divide both sides by 212.5 to get t by itself
t=9.41
So it would take 9.4 months for the loan amount to reach 7000
The following figure shows AABC with side lengths to the nearest tenth.
C
48
6
71
A
B
Find AB in AABC.
Round to the nearest tenth.
Answer:
AB = 4.7 to the nearest tenth
Step-by-step explanation:
Usine the Sine Rule:
6/sin71 = AB/sin48
AB = (6 * sin48)/ sin71
= 4.716
Carly and Carter are comparing bedrooms. They are each getting new carpet and are trying to figure out which room will be the most expensive to cover with carpet. (The rooms are both rectangular) Carly's bedroom is 15.3 ft. long and 8.7 ft. wide. Carter's bedroom is 14.4 ft. long and 9.6 ft. wide. Which bedroom will be the most expensive to cover with carpet? Explain your steps for figuring out the area of the floor for each bedroom and determining your answer. Make sure to Show your math steps as well.
Answer:
Carter's bedroom would cost more to carpet than Carly's because the floor area of the former is about five square feet greater than the floor area of Carly's bedroom.
Step-by-step explanation:
The area of either of these floors is found by multiplying length by width:
A = L*W.
Carly's bedroom is 15.3 ft by 8.7 ft; multiplying, we get A = 133.11 ft^2
Carter's is 14.4 ft by 9.6 ft: A = 138.24 ft^2
Carter's bedroom area (138.24 ft^2) is about 5 ft^2 larger than Carly's and would thus cost more to carpet.
what would be the answer for a triangle with a hypotenuse of 7 and a leg of 5
Answer:
With this hypotenuse calculator you will quickly find this longest side of a right triangle. If you want to know what is the hypotenuse
Step-by-step explanation:With this hypotenuse calculator you will quickly find this longest side of a right triangle.