Answer: The answer is actually 1,676. But you can estimate it to 2,000. so the town of Lantana would have about 2,000 dollasrs left to raise to reach there goal.
Step-by-step explanation:
You would first make sure you add all the number like 5,358+2,834+4,132. And once you get you answer you subtract 14,000 from the number you got!
I really hope that helps.
To prove that ΔDEF ≅ ΔDGF by SSS, what additional information is needed?
1. ∠DEF ≅ ∠DGF
2. ∠DFE ≅ ∠DFG
3. DE ≅ DG
4. DG ≅ GF
The additional information needed to prove that ΔDEF ≅ ΔDGF by the SSS Congruence Theorem is: 3. DE ≅ DG
Recall:
If two triangles have three pairs of congruent sides, the two triangles can be proven to be congruent triangles based on the SSS Congruence Theorem.In the figure given, ΔDEF and ΔDGF is shown to have the following two pairs of congruent sides:
EF ≅ GF
DF ≅ DF (both triangles share a common side)
We need an additional information that shows that the third sides of both triangles (DE and DG) are congruent to each other.
Therefore, the additional information needed to prove that ΔDEF ≅ ΔDGF by the SSS Congruence Theorem is: 3. DE ≅ DG
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Answer:
C. DE ≅ DG
Step-by-step explanation:
Have a good day!
PLEASE HELP 20 POINTS
What is the value of the expression 5(6/12-1/4) + 0.5
Answer:
5/8
Step-by-step explanation:
First you need to reduce the fractions then you choose a common denominator to calculate:6/12=1/2 then you see the you see 1/4 can be a common denominator so you equal 1/2 to the denominator by 4, which means multiplying 2 by both the numerator and denominator, we get 2/4 after that you add and subtract in parentheses and you will get 1/4 then you multiply by 5 to get 5/4 the finally you have to plus 0,5 you will get 7/4 done.
Determine the inverse of the function f(x) = 3(x - 4)^2 + 5.
f(x) as given has no inverse. We see that, for instance, f(1) = f(7) = 32; that is, two different values of x give the same value of f(x), so f is not one-to-one.
We can however restrict the domain over which f is defined to extract an invertible function. One such choice would be to restrict to the interval x ≥ 4, which I'll demonstrate below.
Recall the definition of function inverse:
f(f^(-1)(x)) = x
Then for this function, we have
3 (f^(-1)(x) - 4)² + 5 = x
3 (f^(-1)(x) - 4)² = x - 5
(f^(-1)(x) - 4)² = (x - 5)/3
√((f^(-1)(x) - 4)²)= √((x - 5)/3)
For all x, √(x²) = |x|. Then √((f^(-1)(x) - 4)²) = |f^(-1)(x) - 4|, but by restricting x ≥ 4, or x - 4 ≥ 0, we have the condition that f^(-1)(x) - 4 ≥ 0, and so by definition (of the absolute value function) the absolute value reduces to the positive case. In short, we end up with
f^(-1)(x) - 4 = √((x - 5)/3)
and hence the inverse
f^(-1)(x) = √((x - 5)/3) + 4
There are about 3 × 1020 gallons of salt water on the earth, while there are about 6 × 1018 gallons of fresh water. About how many times the amount of fresh water is the amount of salt water? 200 times the amount 500 times the amount 2 times the amount 50 times the amount
Answer C
Step-by-step explanation:
(3)a train travel 252 km in 42 hours. what amount of time will it take to complete a journey of 350km. (4) calculate the cost of 15 article at $1.95 each cost. (5) if 25 article cost 43.75 how much does each cost. (6) A car travel 240km on 20 liter of petrol. how many liters of petrol is needed to travel 600km
Answer:
(3)
Distance the train can travel=252km
Distance the train can travel in 1 hour=252÷42=6km
The time needed to cover 350km= 350÷6=58.4 hours.
(4)
The cost of 1 articles=$1.95
The cost of 15 articles= 15(1.95)=$29.25
(5)
Cost of 25 articles= 43.75
Cost of 1 article= 43.75/25=1.75
(6)
Liters of petrol needed when a car travels 240km=20litre
liters of petrol needed when a car travels 600km= 20/240 x600
20/24x60
20/4x10
5x10=50liter
From the window of an airplane, you can see a farmhouse directly below. If the plane is traveling at an altitude of 9 kilometers, how far from the farmhouse will the airplane be after it has traveled 12 kilometers at the same altitude?
Answer:
Step-by-step explanation:
In the image below.
I hope I've helped you.
If a line has the x-intercept of (4,0) and no y-intercept, what is the Slope-intercept form equation ? Please !!
Answer:
y=mx+c
0=m(4)+c
c=4m
positive slope
Record the prime factorization of 720 using exponents
Answer:
20
Step-by-step explanation:Because thats the last two digets
The prime factorization of 720 using exponents is 2⁴×3²×5.
The given number is 720.
Prime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, 1 and the number itself.
The factors of 720 are
720 = 2×2×2×2×3×3×5
Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.
Now, 2×2×2×2×3×3×5 = 2⁴×3²×5
Therefore, the prime factorization of 720 using exponents is 2⁴×3²×5.
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help pls and ty! i will give brainliest to the correct answer
Answer: 24km
Step-by-step explanation:
given 1cm : 8km
distance between cafe and restaurant upply store= 3cm
Real distance = 3x8 =24 km
Find the equation for g
Answer:
Ti lah 13435364646166161611646646767676797979494
The governor of state A earns $51,615 more than the governor of state B. If the total of their salaries is $291,335, find the salaries of each.
Answer:
A = $171,475, B = $119,860
Step-by-step explanation:
A represents the salary of the governor of state A.
B represents the salary of the governor of state B.
A is $51615 larger than B, so you get the equation:
A = B + 51615
The total of the two salaries is $291335, so you can the second equation:
A + B = 291335
Using the first equation, substitute the quantity (B + 51615) for A in the second equation.
(B + 51615) + B = 291335
2B + 51615 = 291335
2B = 239720
B = 119860
Plug this value of B back into either of the equations.
A = B + 51615 = 119860 + 51615 = 171475
(9 + 31 + 5)[(7 x 5) x 4]
Answer:
The answer to your question is (7.5.4
1)cot a/2 -tan a/2 = 2 cot a
2) cot b/2 + tan b/2= 2 cosec b
prove
63% to fraction
[tex] \frac{63}{?100} [/tex]
Follow the steps mentioned below to write 0.63 as a fraction.
Step 1: Determine the number of digits after the decimal point in the decimal number. Here, there are 2 digits after the decimal point.
Step 2: Remove the decimal point and write the number by the power of 10 which is equal to the number of digits after the decimal point. So, here we will divide 63 by 102
Step 3: Express the fraction in simplified form.
So, 0.63 as a fraction is,
0.63 = 63/100
Hi, someone else asked this question and I know that the answer is 6, but don’t know why. Could someone explain this for me, please? If you can make me understand I’ll give you brainliest…
Answer:
6
Step-by-step explanation:
I'm not exactly sure, but since 6 is the only number missing from this pattern, wouldn't it make sense for the answer to be 6?
3x+2=198
Solve it as Soon as possible!
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's solve for x ~
[tex]3x + 2 = 198[/tex][tex]3x = 198 - 2[/tex][tex]3x = 196[/tex][tex] \boxed{ \boxed{x = \dfrac{196}{3} } \: \: or \: \: \boxed{ x = 65.33}}[/tex]Answer:
[tex]\boxed{\blue{ = \frac{196}{3}}} [/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
3x+2=198
Step 1: Subtract 2 from both sides.
3x+2−2=198−2
3x=196
Step 2: Divide both sides by 3.
[tex] \tt \: \frac{3x}{3} = \frac{196}{3} [/tex]
Result:
[tex]\boxed{\underline{ x = \frac{196}{3}}} [/tex]
Which of the following is a solution of y - x < -3?
(6, 2)
(2, 6)
(2, -1)
Answer:
2,-1
Step-by-step explanation:
equation with a variable on both sides that equal 27
Answer:
x +20 = 20 + 4 -x +10 (x =7)Step-by-step explanation:
equation with a variable on both sides that equal 27
x +20 = 20 + 4 -x +10
Please helpp!! best answer gets brainliest
Answer:
the answer is B and C, because B equals .57 and C is .666 continuous
Answer:
C
Step-by-step explanation:
Turn everything into a fraction (round if needed)
4/7 = 0.571
A. 2/5 = 0.4 (0.4 < 0.57) since 0.4 is smaller than 0.57, it’s not A.
B. 0.57 (0.57 < 0.571) 0.56 is less than 0.571, so the answer could not be B.
C. 2/3 = 0.67 (0.67 > 0.57) 0.67 is greater than 0.571, meaning the answer could be C.
What is the answer for 14.05 x 7
Answer:
98.35
there that is the answer
Xavier is going to use a computer at an internet cafe. The cafe charges an initial fee to use the computer and then an additional price per minute of usage. Let C represent the total cost of using a computer for t minutes at the internet cafe. A graph of C is shown below. Write an equation for C then state the slope of the graph and determine its interpretation in the context of the problem.
C = ???
The slope of the function is ? which represents:
A: The total charge of using a computer
B: The number of minutes the computer was used
C: The additional charge per minute
D: The initial charge to use a computer
Answer:
C = 1/5t +6
slope: 1/5, (C) The additional charge per minute
Step-by-step explanation:
Before we can write the function, we need to know the slope of the line. Marked points are separated by 5 units horizontally (run=5) and 1 unit vertically (rise=1). The slope is ...
m = rise/run = 1/5
The initial charge is the C-intercept: 6. The function can be written in slope-intercept form as ...
C = 1/5t +6
__
As we saw above, the slope of the function is 1/5, which represents ...
the additional charge per minute
The triangles shown below must be congruent.
25°
55-7
100"
100
55"
25°
0
о
A. True
о
B. False
9514 1404 393
Answer:
B. False
Step-by-step explanation:
The three pairs of corresponding angles have the same measures, so the triangles are similar by AA similarity. However, at least one pair of corresponding sides must be shown congruent before the triangles can be declared congruent.
There is nothing in the diagram to require the triangles be congruent.
With three corresponding equal angles triangles are not congruent. Therefore, the given statement is false.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
The three pairs of corresponding angles have the same measures, so the triangles are similar by AA similarity. However, at least one pair of corresponding sides must be shown congruent before the triangles can be declared congruent.
With three corresponding equal angles triangles are not congruent. Therefore, the given statement is false.
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An airplane starts to descend from an altitude over 30,000 feet at what rate is the airplane descending?
Answer:
20,000 feet
Step-by-step explanation:
Based on the initial altitude and the rate that the plane is descending, the relevant equation is = 30,000 - 2,000x. The altitude after 5 minutes is 20,000 feet above sea level.
The plane begins at 30,000 feet above ground and is descending at 2,000 feet per minute. The relevant equation after x minutes is:
= Initial altitude - (Descent in feet per minute x Number of minutes)
Plugging in the values gives:
= 30,000 - (2,000 × x)
= 30,000 - 2,000x
creds to Parrain
what is the important variable in the problem?
Gary had a pizza party for his friends 14 people showed up, and they had 50 pieces of pizza. How many pieces of pizza did each person have?
Answer:
3
Step-by-step explanation:
each friend would have 3 pizzas
Which of these angle pairs are congruent because they are corresponding
angles?
A. 2 and 4
B. 2 and 3
C. 2 and 5
D. 2 and 6
SUBMIT
Answer: it’s 2 and 6
Step-by-step explanation:
I can use structure to decide where to place the first digit in a quotient. A strongly agree B. agree C. disagree qD. strongly disagree
Answer: For this question, it's just like a self-survey. If you understand this concept strongly or not really, you go with that answer like strongly agree, agree, etc.
Use elimination to solve.
3y-6x=7
-4y-3x=9
Answer:
x = -5/3, y = -1 or [tex](-\frac{5}{3}, -1)[/tex]
Step-by-step explanation:
Solving systems of linear equations using process of elimination involves eliminating one of the variables (and its coefficient) in order to solve the other variable either through addition or subtraction. However, there may be other mathematical operations necessary before one of the variables can be eliminated.
Equation 1: 3y - 6x = 7
Equation 2: -4y - 3x = 9
Step 1: Multiply Equation 2 by -2:
(-2)(-4y - 3x) = 9 (-2)
8y + 6x = -18
Step 2: Add "8y + 6x = -18" to Equation 1:8y + 6x = -18
+ 3y - 6x = 7
11y = -11
Step 3: Divide both sides by 11 to solve for y:[tex]\frac{11y}{11} = \frac{-11}{11}[/tex]
y = -1
Step 4: Substitute y = -1 into Equation 2 to solve for x:-4(-1) - 3x = 9
4 - 3x = 9
Step 5: Subtract 4 from both sides:4 - 4 - 3x = 9 - 4
- 3x = 5
Step 6: Divide both sides by -3 to solve for x:[tex]\frac{-3x}{-3} = \frac{5}{-3}[/tex]
[tex]x = - \frac{5}{3}[/tex]
Verify whether the values for x and y are correct by substituting their values into both equations:
x = -5/3, y = -1
Equation 1: 3y - 6x = 7
[tex]3(-1) - 6(-\frac{5}{3}) = 7[/tex]
-3 + 10 = 7
7 = 7 (True statement).
Equation 2: -4y - 3x = 9
-4(-1) - 3 (-5/3) = 9
[tex]-4(-1) - 3(-\frac{5}{3}) = 9[/tex]
4 + 5 = 9
9 = 9 (True statement).
Therefore, x = -5/3 and y = -1 are the solutions to the given systems of linear equations.
Solve the system of equations. If the system has no solution, say that it is inconsistent. Graph the lines of the system.
x + y = 7
x - y = 5
Select the correct choice below and, if necessary, fill in any answer boxes within your choice.
A. The solution is x= 6 and y = 1. (Type integers or simplified fractions.)
** i know that x=6 and Y=1. I don’t know how to graph it. It gives me a hint that the lines need to be in slope intercept form but again, I dont know how to graph! **
So the easiest way would be to change them into slope intercept form
x + y = 7
y = - x + 7
x - y = 5
y = x - 5
The coefficient of x is the slope, since none of them have a coefficient, their slopes are 1. The first line has negative x which means the slope is negative one, which you can draw from top left to bottom right and a positive slope is drawn from top right to bottom left.
The number after x is the y-intercept which is where the line intercepts the y-axis.
To draw, put a dot on the y-intercept and with a slope of one, go up and right one, or the opposite which is go down one and left one and put another dot and draw a line between the two dots. With a slope of negative one, go up one and go left one, or the opposite which is go down one and right one and draw a line between the two dots.
3044 in a base 5 to a base 10
A definition of a statistical question is given below.
Statistical question:
Any question whose answer could involve working with more than one data value.
In each situation below, determine whether the question is a statistical question.
Answer:
I dont know
Step-by-step explanation:
