Answer:
1. x = 15° | y = 120°2. x = 4.5 | y = 60°Step-by-step explanation:
1. 4x° + 4x° + 4x° = 180° ( The sum of all interior angles of any triangle is equal to 180° )
[tex]4x + 4x + 4x = 180 \\ 12x = 180 \\ x = \frac{180}{12} \\ x = {15}^{o} \\ [/tex]
4x° + 4x° = y° ( An exterior angle of a triangle is equal to the sum of its two interior opposite angles. )
[tex]4x + 4x = y \\ 4(15) + 4(15) = y \\ 60 + 60 = y \\ {120}^{o} = y[/tex]
2. y° + 60° + 60° = 180° ( The sum of all interior angles of any triangle is equal to 180° )
[tex]y + 60 + 60 = 180 \\ y + 120 = 180 \\ y = 180 - 120 \\ y = {60}^{o} \\ [/tex]
All three internal angles are also congruent to each other and are each 60°. Therefore this is a equilateral triangle.
Perimeter = 4x + 4x + 4x ( An equilateral triangle is a triangle with all three sides of equal length. )
[tex]54 = 4x + 4x + 4x \\ 54 = 12x \\ \frac{54}{12} = x \\ x = 4.5[/tex]
Write 8% as a fraction or mixed number in simplest form.
please help me
A rectangular garden has a length of 10.25 feet and a width of 6.2 feet. Another rectangular garden has a length of 20.5 feet and a width of 12.4 feet. How many times greater is the area of the larger garden than the area of the smaller garden?
Answer:
3
Step-by-step explanation
Solve the system of linear equations by substitution: (SHOW UR WORK)
y=-x
y=3x-4
Answer:
x=1
y=-1
Step-by-step explanation:
they have already isolated y in both equations
label both equations
y=-x............1
y=3x-4........2
sub 1 into 2
-x=3x-4
-x-3x=-4
-4x=-4
x=1........ 3
sub 3 into 1
y=-(1)
y=-1
Sports Warehouse had a sale on two models of baseball gloves. Model A sold for $30.00, and model B sold for $45.25. A total of 52 gloves was sold. The total amount of sales earned on the gloves, excluding tax, was $2,078.50. How many model B baseball gloves were sold?
Answer:
34 Model B gloves were sold
Step-by-step explanation:
[tex]8a⁴ × (9a)⁴ [/tex]
find the value of it
8a⁴ × (9a)⁴
Hope you could get an idea from here.
Doubt clarification - use comment section.
Un padre preocupado por motivar a su hijo en Matemáticas, se compromete a darle 1 euro por problema bien hecho, mientras que, si esta mal, el hijo le devolverá 0,5 euros. Después de realizar 60 problemas, el hijo ganó 30 euros. ¿Cuántos problemas resolvió correctamente?
Answer:
good morning I have any questions or need anything from the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer to the answer
The son solved 40 problems correctly out of the 60 problems he attempted.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Let's denote the number of problems the son solved correctly by "x".
According to the problem, for each correct problem, the son earns 1 euro, and for each incorrect problem, he loses 0.5 euros.
Now,
Total earnings = 1 euro (x) - 0.5 euros (60 - x)
Simplifying this expression.
Total earnings = 1.5x - 30
We are given that the son won 30 euros in total, so we can set up the equation:
30 = 1.5x - 30
Solving for x.
1.5x = 60
x = 40
Therefore,
The son solved 40 problems correctly out of the 60 problems he attempted.
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The complete question.
A father concerned about motivating his son in Mathematics agrees to give him 1 euro for a problem well done, while if it is wrong, the son will return 0.5 euros. After doing 60 problems, the son won 30 euros. How many problems did you solve correctly?
The hypotenuse of a right triangle is 6 feet long. One leg is 2 feet longer than the other. Find the length of each leg to the nearest hundredth of a foot.
Bob sees a very tall white pine tree. He estimates that the angle of elevation from him to the top of the tree is 77°
. He is 20 feet from the base of the tree when he measures the angle. What is the height of the tree rounded to the nearest hundredth?
Answer:
86.63 ft
Step-by-step explanation:
The tangent relation applies.
Tan = Opposite/Adjacent
tan(77°) = (tree height)/(20 ft)
tree height = (20 ft)·tan(77°) ≈ 86.63 ft
_____
Additional comment
It is somewhat problematic for Bob to see the top of a white pine tree at that angle of elevation. His view would likely be obscured by the branches of the tree.
Which of the following triangles shows a centroid?
Answer:
first option
Step-by-step explanation:
Which equations below represent nonlinear functions?
y = 4x + 16
y = x2 − 2
34x − 9 = y
y = 7x
y = −8x
Under her cell phone plan, Janelys pays a flat cost of $46.50 per month and $5 per gigabyte. She wants to keep her bill under $70 per month. Write and solve an inequality which can be used to determine g, the number of gigabytes Janelys can use while staying within her budget.
Answer:
Less than 4.70 GB
Step-by-step explanation:
Let x = # of GB that Janelys uses that month. Since Janelys wants to pay less than $70 given that the flat rate for subscribing to that company's data per month is $46.50 and each GB costs $5 to use, the inequality can be written as:
5x + 46.50 < 70
5x < 23.50 Subtract $45.60 from each side.
x < 4.70 GB Divide 5 from each side.
Thus, (if it is whole numbers) Janelys can use 4 GB while staying within her budget or (if decimals are fine) anything less than 4.70 GB. Hope this helped! :D
A movie screen has an area of 162 square meters and a perimeter of 54 meters. What are the dimensions of the screen?
____meters by ___ meters
Answer:
18 meters by 9 meters (or 9 meters by 18 meters)
Step-by-step explanation:
lets say the dimensions are x and y. we have x*y=162, and 2x+2y=54. from the second equation we have x+y=27 so y=27-x. plug this into the first equation to get x(27-x)=162 or -x^2 + 27x = 162. x^2 - 27x + 162 = 0. simplify to get (x-18)(x-9)=0. so x=18 or x=9. when x=18, y=9, when x=9, y=18 so the dimensions are 18 by 9 meters
The perpendicular bisector of a line segment is called
Answer:
Circumcenter
Step-by-step explanation:
Which answer best describes the system of equations shown in the graph?
A. Consistent and dependent
B. Inconsistent
C. Not enough information
D. Consistent and independent
Thanks.
Answer:
A. Consistent and dependent
Answer:
D. Consistent and independent
Step-by-step explanation:
A. Consistent and dependent = two lines that overlap with each other so they have infinite solutions (ex. y = 4x and 4y = 16x equal the same thing)
B. Inconsistent = parallel lines that will NEVER meet each other, so no solution (y = 4x and y = 4x + 1 have the same slope so the steepness of the two lines is the same - they will NEVER have at least 1 point intersecting)
C. Not enough information - incorrect because there are two lines on a graph, and that is enough info to solve
D. Consistent and independent = two lines with EXACTLY ONE SOLUTION (ex. y = 4x + 3 and y = 2x + 2 have exactly one point that overlaps)
Dustin looks around at an assembly. He notices his younger sister to his right and his older brother 4.1 feet ahead of him. If Dustin's brother and sister are 8.8 feet apart, how far apart are Dustin and his younger sister? If necessary, round to the nearest tenth.
Answer:
So the answer would probably be 4.8 feet?
Step-by-step explanation:
Jayden purchases a television when his local electronics store had a sale. The television was 40% off its original price of $672. What was the sale price that jayden paid?
Answer:
The sale price he paid for the TV was $403.20
Step-by-step explanation:
You multiply the original price by .4 (40%). Then, you subtract that number from $672 to find the price Jayden paid! :)
Donald plays with his wood cubes and decides to make a pyramid
A?
B?
C?
D?
Who ever is right gets brainlest<3
Answer:
i think that the answer is b
hope it helps
Samuel bought a cement mixer for $54,205. The value of the cement mixer depreciated at a constant rate per year. The table shows the value of the cement mixer after the first and second years: Year 1 2 Value (in dollars) 47,158. 35 41,027. 76 Which function best represents the value of the cement mixer after t years? f(t) = 47,158. 35(0. 87)t f(t) = 54,205(0. 13)t f(t) = 47,158. 35(0. 13)t f(t) = 54,205(0. 87)t.
The value of cement mixer after t year is [tex]f(t) = 54,205(0. 87)^{t}[/tex]
Given to us
The value of cement mixer when bought, [tex]P[/tex]= $ 54,205
the value of cement mixer after 1 year, [tex]P_1[/tex]= $ 47,158. 35
the value of cement mixer after 2 year,[tex]P_2[/tex]= $ 41,027. 76
To find out depreciation we can use the formula for depreciation,
[tex]P_n= P(1-r)^n\\where,\\P_n= Value\ of\ asset\ after\ n\ year\\P= Value\ of\ asset\ when\ bought\\r= rate\ of\ depreciation\\n= number\ of\ years[/tex]
By putting the value, in the formula we get,
[tex]P_1= P(1-r)^n\\\\47,158.35= 54,205\times (1-r)^1\\\\\dfrac{47,158.35}{54,205} = (1-r)\\\\0.87=1-r\\\\r=0.13[/tex]
Therefore, putting the value of [tex]r[/tex] and [tex]P[/tex] in depreciation formula for [tex]t[/tex] years we get,
[tex]P_n= P(1-r)^n[/tex]
[tex]f(t) = 54,205(0. 87)^{t}[/tex]
Hence, the value of cement mixer after t year is [tex]f(t) = 54,205(0. 87)^{t}[/tex].
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Plz help me give me answer
Answer:
3
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
mile is going to give buddys dads company 5 hour and not a minute more. what part of the day is he giving them written as a fraction and a percent
The fraction of the time given in a day is 1/288
Given the following parameters
The minute that mile gave his buddy = 5minutsWe are to get the fraction of this time in a day.
Convert 1 day to minute
1 day = 24 hrs * 60 mins 1 day = 1440 minutsFraction = 5/1440
Fraction = 1/288
Hence the fraction of the time given in a day is 1/288
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what is the slope of the line?
Answer:
5/3
Step-by-step explanation:
Use rise over run
it goes up five and goes right three.
If it were to go to the left it would be negative
Same rules apply if it were to go down it would be negative
Math riddle! Correct answer gets brainliest!
Answer with what x and y are equal to.
Answer:
[tex]\displaystyle [9, 4\frac{1}{2}][/tex]
Step-by-step explanation:
I figure these exercises out by numeric association. I see a 3, so I know right away that there might be a 9 somewhere. So, you start by plugging 3 in for [tex]\displaystyle x,[/tex] THEN plug [tex]\displaystyle 1\frac{1}{2}[/tex] in for [tex]\displaystyle y[/tex] sinse there are twise the quantity of [tex]\displaystyle y[/tex] than there are of [tex]\displaystyle x.[/tex] Now, doing so will give you [tex]\displaystyle 24 ≠ 18.[/tex] This tells you to try another pattern, so go with plugging [tex]\displaystyle 4\frac{1}{2}[/tex] in for [tex]\displaystyle y[/tex] and [tex]\displaystyle 9[/tex] in for [tex]\displaystyle x[/tex]. Doing so gives you what you are looking -- [tex]\displaystyle 36 = 36.[/tex] Therefore, the association wourked perfectly. ☑
I am joyous to assist you at any time.
That locked sign defines that both sides are equal.
The equations are
2x=4y=>x=2y--(1)3x+9=2x+4y=>x+9=4y=>x=4y-9--(2)From (1) and (2)
[tex]\\ \rm\Rrightarrow 4y-9=2y[/tex]
[tex]\\ \rm\Rrightarrow 2y=9[/tex]
[tex]\\ \rm\Rrightarrow y=9/2=4.5[/tex]
Put in eq(1)
x=2(4.5)=9Hence
(x,y)=(9,4.5)Hello, I really need help with this question. It is talking about true or false statement referring to a graph. Please tell me which statements are true or false.
today everything at a store is on sale the store offers a 20% discount the discount price of a hat is $18 what is the regular price
Answer:
$20
Step-by-step explanation:
Can someone plz help with 21?? Thanks!
Answer:
4) -11.3...
Step-by-step explanation:
distribute both sides to get (1/6)x - (4/3) = (4/15)x - (1/5)
move the variables to one side and the constants to the other: ((4/15) - (1/6))x = (-(4/3) + (1/5))
simplify to get (1/10)x = (-17/15) multiply everything by 10 to get x=-34/3 or -11.33333333333333333...
Answer:
option 4
Step-by-step explanation:
[tex]\frac{2}{3}[/tex] ([tex]\frac{1}{4}[/tex] x - 2) = [tex]\frac{1}{5}[/tex] ([tex]\frac{4}{3}[/tex] x - 1) ← distribute parenthesis on both sides
[tex]\frac{1}{6}[/tex] x - [tex]\frac{4}{3}[/tex] = [tex]\frac{4}{15}[/tex] x - [tex]\frac{1}{5}[/tex]
Multiply through by 30, the LCM of 6, 3, 15, 5
5x - 40 = 8x - 6 ( subtract 8x from both sides )
- 3x - 40 = - 6 ( add 40 to both sides )
- 3x = 34 ( divide both sides by - 3 )
x = - [tex]\frac{34}{3}[/tex] = - 11.333..
PLEASE HELP I"LL GIVE BRAINLEST
Carl solves 12 multiplication problems for every 4 addition problems. If he solves 23 addition problems, how many multiplication problems does he solve?
46 multiplication problems
92 multiplication problems
69 multiplication problems
54 multiplication problems
Answer:
92 4× 23
Step-by-step explanation:
sorry if im incorrect
Answer:
Carl solves 69 multuplication problems
Help ! If you're not starbright , please do not answer or i'll report , but if you have the right answer with correct proof , you won't get reported !
Answer:
Step-by-step explanation:
1) So -8+2v<2, 2v<10, v<5. That means that at "5" on the axis, you'll draw a circle that's not filled in (because it's <5, not [tex]\leq[/tex]5) and then draw a box-y thing to the left. Sorry, can't really describe it, but if you look at the picture attached, you'll understand
2) -12m-8[tex]\leq[/tex]-5m-7m, so -12m-8[tex]\leq[/tex]-12m, -8[tex]\leq[/tex]0. This one doesn't have a variable... so you can't really graph it?
The quadrilaterals JKLM and PQRS are similar.
Find the length x of RS.
Will mark brainliest!
The measure of side x equivalent to RS is 42
Similar shapes are shapes that have both their sides and angles to be equal.
Since both quadrilaterals JKLM and PQRS are similar, we will take the ratio of the sides as shown;
4/24 = 7/x
1/6 = 7/x
Cross multiply
x = 42
Hence the measure of side x equivalent to RS is 42
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[tex]\sf \sqrt{12} \times \sqrt{12}[/tex]
Answer:
[tex]12[/tex]
Step-by-step explanation:
[tex]\sqrt{12} \times\sqrt{12}[/tex]
[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{a}=a,\:\quad \:a\ge 0[/tex]
[tex]\sqrt{12}\sqrt{12}=12[/tex]
[tex]=12[/tex]
The value of [tex]\sqrt{12} * \sqrt{12}[/tex] is equal to 12
To solve this problem, we have to convert the surds to radicals and then use the law of indices on this.
[tex]\sqrt{12} * \sqrt{12}= 12^\frac{1}{2} * 12^\frac{1}{2}[/tex]
Addition Law of IndicesThis law is given as
[tex]a^m+a^n = a^(^m^+^n^)[/tex]
let's substitute the values in this question.
[tex]12^\frac{1}{2}*12^\frac{1}{2}[/tex]
Let's apply the law and solve the radical
[tex]12^\frac{1}{2}*12^\frac{1}{2} = 12^(^\frac{1}{2}^+^\frac{1}{2}^)\\[/tex]
Solve the fractions
[tex]\frac{1}{2}+\frac{1}{2}=1[/tex]
substitute the values and solve
[tex]12^\frac{1}{1}=12[/tex]
from the calculations above, the value of the radical is 12.
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