Answer:See below
Step-by-step explanation:
These angles are equal. All that needs to be done is setting the equations as equal and solving for the variables. Once the variables are found, input them back into the equation to find the angles. Once the variables are put into both equations, the result should be equal.
Answer:
13) 94°
14) 105°
Step-by-step explanation:
13) For this equation, the angles are vertical angles. This means that they equal each other. So the equation would be: 14x-4= 12x+10.
Step 1- Subtract 12x to both sides.
14x-4= 12x+10
-12x -12x
Step 2- Add 4 to both sides.
2x-4= 10
+4 +4
Step 3- Divide both sides by 2.
2x= 14
2 2
x= 7
Now that you know the value of the variable, insert this into the equations.
14(7)-4= 98-4= 94°
12(7)+10= 84+10= 94°
14) For this equation, the angles are alternate exterior angles. This also means that they equal each other. So the equation would be: 16x-7= 15x.
Step 1- Add 7 to both sides.
16x-7= 15x
+7 +7
Step 2- Subtract 15x to both sides.
16x= 15x+7
-15x -15x
This leaves you with: x= 7.
Now, insert the value of the variable into the equations.
16(7)-7= 112-7= 105°
15(7)= 105°
A theater holds 2,680 seats. The lower level has 100 less than 2 times as many seats as the upper level. The middle level has 80 more than 3 times as many seats as the upper level. How many seats are in the middle level? 450 seats 800 seats 1,250 seats 1,430 seatsA theater holds 2,680 seats. The lower level has 100 less than 2 times as many seats as the upper level. The middle level has 80 more than 3 times as many seats as the upper level. How many seats are in the middle level?
A 450 seats
B 800 seats
C 1,250 seats
D 1,430 seats
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
If the lower level has 100 less than 2 times as many seats as the upper level then the expression is 2x-100 and the middle level has 80 more than 3 times as many seats as the upper level so it's 3x+80 and lastly the top level is just x.
so now for the equation you would add all those expressions and they all should equal 2680:
[tex]x+3x+80+2x-100=2680\\6x-20=2680\\6x=2700\\x=450[/tex]
but now don't forget to plug in for the middle level:
[tex]3x+80\\3(450)+80\\1350+80\\1430[/tex]
Therefore the middle level has 1430 seats.
Answer:
D is your answer fella
Step-by-step explanation:
Five less than twice a number is equivalent to 47
Answer:
2x - 5 = 47 is the expression .
x = 26
Step-by-step explanation:
The number is 26.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values. We frequently observe constant change in
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
given:
Five less than twice a number is equivalent to 47
let the number is x
So, 2x- 5= 47
Now solving for x
2x- 5= 47
2x= 52
x= 26
Hence, the number is 26
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Ф∈∧↔∡⇄Фπ㏒⇆⇔⊂∴∵∀≥≥←α this poped up on my screen anyone know what it means?
answer asap please and rhanks
Answer:
(x, y, z ) = (4, 8, 12 )
Step-by-step explanation:
Given
x + y + z = 24 → (1)
5x + 3y + z = 56 → (2)
x + y - z = 0 → (3)
Eliminating z from the equations
Add (1) and (3) term by term
2x + 2y = 24 → (4)
Subtract (1) from (2) term by term
4x + 2y = 32 → (5)
Subtract (4) from (5) term by term
2x = 8 ( divide both sides by 2 )
x = 4
Substitute x = 4 into (4)
2(4) + 2y = 24
8 + 2y = 24 ( subtract 8 from both sides )
2y = 16 ( divide both sides by 2 )
y = 8
Substitute x = 4, y = 8 into (1)
4 + 8 + z = 24, that is
12 + z = 24 ( subtract 12 from both sides )
z = 12
Solution is x = 4, y = 8, z = 12
–12 + (–7) + 11 how do i get it right it is hard
math
Answer:
-8
Step-by-step explanation:
-12 + (-7) + 11 combine like terms
-19 + 11 add + 11 to -19
-8
Alex swims at an average speed of 45 meters per minute. How far does he swim in 1 minute and 24 seconds?
___ meters
Answer:
63m
Step-by-step explanation:
Alex swims 45m in 1 min .
=> Alex swims 45 m in 60 secs
=> Alex swims 45/60 m in 1 sec
In 1 min & 24 secs ( or 84 secs ) , Alex can swim =
[tex] \frac{45}{60} \times 84 = 63 \: m[/tex]
Please I neeeddd helpppp
Answer:
a
Step-by-step explanation:
Write an equation for each description. " Seven times the difference of a number and 8 increase by 2 is equal to 36".
Step-by-step explanation:
Variable n = number
7(n - 8) + 2 = 36
which of the following best defines 2⅔
- cube root of 4
-square root of 4
-cube root of 2
-square root of 2
Answer:
square root of 2
Step-by-step explanation:
in the diagram below which is not drawn to scale a b is perpendicular to a d if the measurement of CAD is three times measurement of BAC determine the measurement of CAD
Answer:
67.5°
Step-by-step explanation:
From the diagram attached, it can be seen that <BAD = 90° (right angled). Also <BAD = <CAD + <BAC
From the question, we are told that the measurement of CAD is three times measurement of BAC, this means <CAD = 3<BAC
substituting this condition into the formula above:
<BAD = 3<BAC + <BAC
<BAD = 4<BAC
4<BAC = 90
<BAC = 90/4
<BAC = 22.5°
Next is to get <CAD:
<CAD = 3<BAC
<CAD = 3(22.5)
<CAD = 67.5°
Hence the measurement of <CAD is 67.5°
Find
f (2) if f(x)=-5x2if x <-6
Answer: -180 for -6 and -20 for 2
Please give me Brainliest
Which is NOT a valid rearrangement of: g = 4 a - 1
A) g-1=4a
B) g-4a=-1
C) g+1=4a
D) g+1/4=-
Solve the equation x/5=3/4
Answer:
[tex]\boxed{x = \frac{15}{4} }[/tex]
Step-by-step explanation:
Hey there!
Given
[tex]\frac{x}{5} = \frac{3}{4}[/tex]
To single out x we multiply everything by 5, since 5 is being divided by x.
[tex]\frac{3}{4} * 5[/tex]
5 * 3 = 15
1 * 4 = 4
Ans = [tex]\frac{15}{4}[/tex]
Hope this helps :)
Answer:
x=3.75
Step-by-step explanation:
x/5=3/4
4x=15
15/4
x=3.75
Don't mind the math work I am rying to figure it out without help but can ya help?! NEEDS TO BE DONE IN A FEW SO
P.S I NEED HELP WITH NUMBER 9
Answer:
it is enough and she will have 6.19 left
Answer:
she has enough and her change would be $6.19
Step-by-step explanation:
the new balance would be $689.55
consdier the figure below line FG is parallel to line JK
Step-by-step explanation:
line MN c. JK d. EF. 2. Name each figure using symbols and ... Use the diagram below to find each angle measure. a. ... Find mzCFG if FG is an angle bisector of CFB.
A container holds 2/3 gallon of apple juice. If four people from the cross-country track team share the juice equally, how much juice will each team member get?
You would use _______ to solve this problem.
Each runner will get ______ gallon of apple juice.
Answer:
credit goes to 561397
1. Division 2. 1.6666.......
Step-by-step explanation:
Answer:
Divide
1/6
Step-by-step explanation:
Edge 2022
whats the answer help me
Answer:
6- 8- 10 triangle with 10 as the hypotenuse
Step-by-step explanation:
In any right triangle the hypotenuse must be the longest side.
This is only true for the 6- 8- 10 with 10 as the hypotenuse.
Also using Pythagoras' identity
6² + 8² = 10²
clara wants to run a total of 5 1/2 miles each lap around the track is 0.25 miles. how many laps around the track does clara need to complete 5 1/2 miles
Answer:
22 laps
Step-by-step explanation:
Clara wants to run 5 1/2 miles, and the track is only 0.25 miles long. This is a fairly easy question, you just need to figure out how many times 5 1/2 goes into 0.25, because she wants to run that amount of miles (I could never run that much).
I hope that answers your question so you understand, and I hope you have a great rest of your day! :)
Omg please help please
[tex]x^{2}[/tex]Answer:
(Explanation)
Step-by-step explanation:
Part A:
The graph of y = [tex]x^{2}[/tex] + 2 will be translated 2 units up from the graph of y = [tex]x^{2}[/tex].
If you plug in 0 for x, you get a y-value of 2. The 2 is also not included with the [tex]x^{2}[/tex], which is why it doesn't translate left.
This is what graph A should look like:
[Attached File]
Part B:
The graph of y = [tex]x^{2}[/tex] - 2 will be translated 2 units down from the graph of y = [tex]x^{2}[/tex].
If you plug in 0 for x, you get a y-value of -2. The 2 is also not included with the [tex]x^{2}[/tex], which is why it doesn't translate right.
This is what graph B should look like:
[Attached File]
Part C:
The graph of y = 2[tex]x^{2}[/tex] is a stretched version of the graph y = [tex]x^{2}[/tex]. Numbers that are greater than 1 stretch and open up and numbers less than -1 stretch and open down.
This is what graph C should look like:
[Attached File]
Part D:
The graph of y = [tex]\frac{1}{2}x^{2}[/tex] is a compressed version of the graph y = [tex]x^{2}[/tex]. Numbers that are in-between 0 and 1, and -1 and 0 are compressed.
This is what graph D should look like:
[Attached File]
Use substitution 9x-3y=9 3x-y=3
Answer:
x=1
Step-by-step explanation:
3x-y=3
y=3-3x
9x-3y=9
9x-3(3-3x)=9
9x - 9 + 9x=9
9x + 9x=9 + 9
18x=18
x=18÷18
x=1
the slope of the line y=1/3-34
Answer:
m= 0
Step-by-step explanation:
Use the slope intercept form y=mx+b to find the slope m.
Hope this helps. Plz give brainliest.
Factor each expression complete.
4x^2+ 8x + 3
Answer:
(2x+1)(2x+3)
Step-by-step explanation:
I am not sure
Find two consecutive whole numbers that lies 91 between.
Answer:
91 lies between 9 and 10
Step-by-step explanation:
is x=15 a function?
Answer:So x=15 does not define a function. Another way of describing the condition above is that x=15 fails the vertical line test - the requirement that any vertical line intersects the graph in at most one point. This fails when x=15 because a vertical line at that point intersects the graph at infinitely many points.
Step-by-step explanation:
No x=15 is not a function.
What is Mathematical function ?
Function is defined as the expression or relation between any given two variables such as x and y and there must be an independent variable and dependent variable.
In other words the function represents the graph between x and y that is for each value of x there exist one value of y but here there is no restriction in values of y that is y can have infinity values.
Therefore, x=15 is not a function.
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The populations of two towns, town A and town B, are being compared. The population of town A is 4×10↑4 and the population of B is 2×10↑5. How many times greater is the population of town B than town A?
Answer:
The population of town B is 5 times greater than the population of town A
Step-by-step explanation:
Here in this question, we want to know the number of times in which the population of town B is greater than that of town A
To get the number of times, we simply divide the population of town B by the population of town A
From the question, the population of town B is 2 * 10^5 while the population of town A is 4 * 10^4
So to know the number of times,
We have (2 * 10^5) /(4 * 10^4) = 5
The population of town B is 5 times greater than the population of town A
what is the difference of the polynomials (4x-x^3+3)-(2x^2-3x^3+1
Answer:
2x³ - 2x² + 4x + 2
Step-by-step explanation:
Step 1: Write expression
(4x - x³ + 3) - (2x² - 3x³ + 1)
Step 2: Distribute negative
4x - x³ + 3 - 2x² + 3x³ - 1
Step 3: Combine like terms
2x³ - 2x² + 4x + 2
What is the value of x?
Enter your answer in the box.
Answer:
x+112°+133°+128°+100°+120°=720°(angle sum property of hexagon is 720)
x+593°=720°
x=720°-593°
x=127°
hope u understood!
The slope of a line perpendicular to y=-\frac{2}{3}x+11y=−
3
2
x+11 is
Answer: The slope is 3/2 if the given equation is actually this: [tex]y=-\frac{2}{3}x+11[/tex] Not this:
[tex]y=-\frac{2}{3}x+11y= -32[/tex]
Step-by-step explanation:
For perpendicular slopes, use the reciprocal of the given slope and reverse the positive-negative sign (additive inverse
the reciprocal of -2/3 is -3/2 the additive inverse is +3/2
what is 3/4 - 1/3? I need to know.
Answer:
[tex]\frac{5}{12}[/tex] or 0.4166666667
Step-by-step explanation:
You"re welcome!
Answer:
Step-by-step explanation:
3/4 - 1/3
lcm of 4 and 3 is 12
so,
3/4 = 3/4 × 3/3 = 9/12
1/3 = 1/3 × 4/4 = 4/12
so, 3/4 - 1/3 = 9/12 - 4/12 = 5/12
Hope this helps
plz mark as brainliest!!!!!!!!!!!
need help w precal/algebra 2
Answer:
g(-2) = -7
Step-by-step explanation:
To find g(-2), plug -2 into g(x).
g(x) = -4x² + 3x + 15
g(-2) = -4(-2)² + 3(-2) + 15
g(-2) = -4(4) + 3(-2) + 15
g(-2) = -16 + (-6) + 15
g(-2) = -1 + (-6)
g(-2) = -7