Answers
[tex] \sf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Let's solve for x and z ~
[tex]\qquad \sf \dashrightarrow \: z + 68 = 180[/tex]
[ they form co - exterior angle pair ]
[tex]\qquad \sf \dashrightarrow \: z = 180 - 68[/tex]
[tex]\qquad \sf \dashrightarrow \: z = 112 \degree[/tex]
now, it's time for x :
First angle z is equal to its vertical opposite angle, and then that angle forms co - interior angle pair with (3x - 28)
[tex]\qquad \sf \dashrightarrow \: 3x - 28 + 112 = 180[/tex]
[tex]\qquad \sf \dashrightarrow \: 3x + 84 = 180[/tex]
[tex]\qquad \sf \dashrightarrow \: 3x = 180 - 84[/tex]
[tex]\qquad \sf \dashrightarrow \: 3x = 96[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 96 \div 3[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 32 \degree[/tex]
That's all... let me know if you have questions ~
Related Questions
the sum of a certain number and -3
Answers
Answer:
[tex]\huge\boxed{\sf x - 3 }[/tex]
Step-by-step explanation:
Let the certain number be x
So,
Given condition:Sum is to add so we'll use the sign +
= x + (-3)
We know that + and - makes - because - sign will flip the + sign and make it negative, So:
= x - 3
[tex]\rule[225]{225}{2}[/tex]
Solution: c-3
[tex]\searrow[/tex]
Detailed explanation:
[tex]\searrow[/tex]
This problem tells us to convert the verbal phrase (in words) "the sum of a certain number and -3" into an algebraic expression, which is written in numbers.
Let's start by taking a look at our problem.
"the sum of a certain number and -3". We can first write this "certain number" as one letter (any letter you want). Let it be c.
Our expression already looks a little easier: "the sum of c and -3".
Now, the word "sum" tells us to add. So we should add c and -3.
[tex]--\mapsto\boldsymbol{c+-3}[/tex]
Which is the exact same thing as [tex]\boldsymbol{c-3}[/tex].
Voila! There's our answer.
Cheers!! ^-^______________________
Hope I helped! Best wishes.
Reach far. Aim high. Dream big.
_______________________
A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, the angle of depression to the boat is 14°52'. When the boat stops, the angle of depression is 45°10'. The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round your answer to the hundredths place.
Answers
The boat's travel from when it was first noticed until it stopped is 554.89 ft.
What is trigonometry?
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly.
From the given information we can draw a right-angle triangle.
14°52' = 14 + 0.86 = 14.86 degree
45°10' = 45 + 0.16 = 45.16 degree
In the right-angle triangle ACD
tan14.86 = 200/AC
AC = 753.772 ft
In the right-angle triangle DBC:
tan45.16 = 200/CB
CB = 198.886 ft
AB = AC - CB
AB = 753.772 ft - 198.886 ft
AB = 554.886 ≈ 554.89 ft
Thus, the boat's travel from when it was first noticed until it stopped is 554.89 ft.
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There are 7 pieces of pie left over in the cafeteria. If 4 pieces are apple and 3
are cherry, what fraction of the remaining pieces are apple?
Answers
When you multiply a number by 12 and subtract the product from 360, the difference is 216. Find the number.
Answers
The equation will be 12a – 360 = 216. Then the value of the variable a will be 48.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
When you multiply a number by 12 and subtract the product from 360, the difference is 216.
Let the number be a.
Then we have the equation
12a – 360 = 216
By solving the equation, we have
12a = 216 + 360
12a = 576
a = 576/12
a = 48
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A survey found that 50% of teenagers prefer to watch a movie at a theater over other viewing options. You want to know the estimated probability that three out of four randomly chosen teenagers do not prefer watching a movie at a theater. How could you design a simulation for this situation?
Answers
Answer:
7m tall convert this into imperial measurement
Consider this liner function: y=-2x-5
Where would you plot the ordered pairs for the values in the domain?
D: {-6, -5, -2, 0, 1}
Answers
The graph of the linear function, considering the points in the domain, is given at the end of the answer.
What is the linear function?
The linear function is defined by:
y = -2x - 5.
Considering the domain, the points are given as follows:
A: x = -6, y = -2(-6) - 5 = 7.B: x = -5, y = -2(-5) - 5 = 5.C: x = -2, y = -2(-2) - 5 = -1.D: x = 0, y = -2(0) - 5 = -5.E: x = 1, y = -2(1) - 5 = -7.More can be learned about linear functions at https://brainly.com/question/24808124
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Which congruence theorem can be used to prove ?
Answers
Answer:
ASA
Step-by-step explanation:
by ASA congruence theorem
What is the image of (-9,3)(−9,3) after a reflection over the y-axis?
Answers
Answer:
(9, 3 )
Step-by-step explanation:
under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
(- 9, 3 ) → (9, 3 )
Can I take a picture of the problem and upload for you to see?
Answers
Given: ABC with AD | CB Prove: m/1 + m/3 + m/2 = 180, by putting the reasons in the correct order. A 3 Z C 5 8 Given : AABC with AD | CB Prove : m / 1 + m / 3 + m / 2 = 180 , by putting the reasons in the correct order .
Answers
Answer:
98798765
Step-by-step explanation:
67654678765
Select the correct answer.
Which function is the inverse of ?
Answers
Answer:
B. [tex]f^{-1}(x) = \frac{x + 3}{9}[/tex]
Step-by-step explanation:
[tex]let \space\ y = f(x)\\\\y = 9x -3\\[/tex]
• Now make x the subject of the equation:
[tex]9x = y + 3\\\\x = \frac{y + 3}{9} \\[/tex]
• Replace x with f⁻¹(x) and y with x:
[tex]f^{-1}(x) = \frac{x + 3}{9}[/tex]
Belfast Giants have played 5 matches and the mean number of goals scored is 3
When they play the 6th match, the mean increases to 4.
Answers
Answer:
2 goals
Step-by-step explanation:
After 5 games the team scored 1.8*5=91.8∗5=9 goals.
After 6 games the team scored 9+3=129+3=12 goals.
The mean after 6 games is \frac{12}{6}=2
6
12
=2 goals.
.A bacteria culture grows at a rate of 20%
per minute. If the culture initially has 3,200
bacteria specimens, how many specimens
would be in the culture after 5 minutes?
Answers
The number of the specimens would be in the culture after 5 minutes will be 7,962.62.
What is an exponent?Consider the function:
y = a (1 + r) ˣ
Where x is the number of times this growth occurs, a = initial amount, and r = fraction by which this growth occurs.
A bacteria culture grows at a rate of 20% per minute.
If the culture initially has 3,200 bacteria specimens.
Then the equation will be
y = 3200 (1 + 0.2) ˣ
y = 3200 (1.20) ˣ
Then the number of the specimens would be in the culture after 5 minutes will be
y = 3200 (1.20)⁵
y = 7962.62
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how can i soolve it?
Answers
Answer:
x = 4 y = 1
Step-by-step explanation:
Opposite sides are equal , so
2x-3y = 5
x+5y =9 <====== multiply this by -2 and add to first equation
-13y = -13
then y = 1 and x + 5y = 9 so x = 4
An amusement park prices tickets at $55 and sells an average if 500 tickets daily. The management finds, over multiple increases in ticket pricing that a $2 increase in the price of a ticket leads to an average of 20 fewer tickets being sold in a day.
Management uses the combined function P to model the daily earning of the amusement part, where x is the number of $2 increases in the price of a ticket.
P(x) = -40x^2- 100x + 27,500
Use the given Information to complete the sentences.
The constant of the polynomial expression represents the
___ in the price of a ticket.
The binomial (500 - 20x) is a factor of the polynomial expression and represents the ___ in the price of a ticket.
Answers
The complete sentence is as follows:
The constant of the polynomial expression represents the daily earnings of the amusement park before any $2 increase in the price of a ticket.
The binomial (500 - 20x) is a factor of the polynomial expression and represents the number of tickets sold after x increases of $2 in the price of a ticket.
Given, An amusement park prices tickets at $55 and sells an average of 500 tickets daily. The management finds, over multiple increases in ticket pricing that a $2 increase in the price of a ticket leads to an average of 20 fewer tickets being sold in a day.
Management uses the combined function P to model the daily earning of the amusement part, where x is the number of $2 increases in the price of a ticket.
[tex]P(x) = -40x^2- 100x + 27,500[/tex].
What is the combined function?In mathematics, function composition is an operation ∘ that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g. In this operation, the function g is applied to the result of applying the function f to x.
We need to use the given information to complete the sentences.
The complete sentence is as follows:
The constant of the polynomial expression represents the daily earnings of the amusement park before any $2 increase in the price of a ticket.
The binomial (500 - 20x) is a factor of the polynomial expression and represents the number of tickets sold after x increases of $2 in the price of a ticket.
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The constant of the polynomial expression represents the daily earning of the amusement park before any $2 increase in the price of a ticket, and (500 - 20x) represents the number of tickets sold after x increases by $2.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
An amusement park prices tickets at $55 and sells an average if 500 tickets daily.
The function P(x) represents the daily earning of the amusement part, where x is the number of $2 increases in the price of a ticket.
Plug x = 0
P(0) = 27500
The above value is the constant of the polynomial function.
The constant of the polynomial expression represents the daily earning of the amusement park before any $2 increases in the price of a ticket.
As the x is the number of $2 increases in the price of a ticket.
Then,
= (500 - 20x) is the binomial that represents the number of tickets sold after x increases by $2
Thus, the constant of the polynomial expression represents the daily earning of the amusement park before any $2 increase in the price of a ticket, and (500 - 20x) represents the number of tickets sold after x increases by $2.
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Find the value of x. Round to the
nearest tenth.
12
x=[?]
Answers
Answer:
17.1
Step-by-step explanation:
Given we have one side and one degree, we can use the trigonometric function "tangent" to solve this right triangle.
Remember that tangent is opposite side over adjacent side, so lets set up the equation:
[tex]tan(35)=\frac{12}{x}[/tex]
Now solve:
[tex]x(tan(35))=12\\x=\frac{12}{tan(35)}[/tex]
As a result, x is equal to approximately 17.1
Any questions feel free to ask :)
What is the GCF of the numbers in the expression (32 + 16)?
Answers
Answer:
the GCF of the number in the given expression (32+16) is 16.
Step-by-step explanation:
This is your answer
What is the formula for the margin of error?
Answers
Answer:
[tex]ME =\frac{z*s}{\sqrt{n}}[/tex]
Step-by-step explanation:
In a random survey sample, a margin of error is a statistical measurement that takes into account the discrepancy between actual and anticipated findings
To find margin of error, you need
Get the population standard deviation (σ) and sample size (n)n = sample size
Take the square root of your sample size and divide it into your population standard deviationσ = population standard deviation Multiply the result by the z-score consistent with your desired confidence interval according to the following table:z = z-score
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The mass of Jupiter is 1.898x10^27 kg, while the mass of Earth is 5.972x10^24 kg. How many times greater is the mass of Jupiter compared to the mass of the Earth? Round the answer in standard form to the nearest whole number.
Answers
Answer:
318
Step-by-step explanation:
(1.898×10^27)÷(5.972×10^24)=317.82=318
Solve using a proportion.
Jasmine uses 4 inches of tape to wrap 5 presents. How many inches of tape will Jasmine use to wrap 15 presents?
A. 12 inches
B. 10 inches
C. 15 inches
D. 14 inches
Answers
17/21 - (2/7 + 1/7)
Please solve!!
Answers
Answer:
8/21
Step-by-step explanation:
17/21 - (2/7 + 1/7)
= 17/21 - ( 3/7)
= 17/21 - (3×3/7×3)
= 17/21 - 9/21
= 8/21
W+15x-9y+2z
Terms:
Coefficients:
Answers
In the problem given:
W + 15x - 9y + 2z
The term are single mathematical expressions that separate values.
In the expression, there is a + and -; these concludes 2 terms.
There are 3 coefficients next to each variable.
The coefficients are 15x, -9y, and 2z.
That means there are 3 coefficients.
Cheers
- ROR
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex] \sf{W \rightarrow coefficient = 1} [/tex][tex] \sf{15x \rightarrow coefficient = 15} [/tex][tex] \sf{-9y\rightarrow coefficient = -9} [/tex][tex] \sf{2z\rightarrow coefficient = 2} [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Term refers to each variable or constant separated by a mathematical operator.
Coefficient refers to the numberic part of variable or a constant number present in an expression.
[tex]\qquad \tt \rightarrow \: 12a - 10b + 6[/tex]
[tex] \large\textsf{Terms :} [/tex]
[tex] \texttt{W } [/tex][tex] \texttt{coefficient = 1} [/tex]
[tex] \texttt{15x} [/tex][tex] \texttt{coefficient = 15} [/tex]
[tex] \texttt{-9y} [/tex][tex] \texttt{coefficient = -9} [/tex]
[tex] \texttt{ 2z} [/tex][tex] \texttt{coefficient= 2} [/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Giving brainliest
Determine the current temperature in degrees Fahrenheit if the current temperature is 32 degrees Celsius in Lima, Peru. Round the final answer to the nearest whole number.
32
56
90
103
Answers
Answer:
The answer is 90.
Thank you
Answer:
89.6
Step-by-step explanation:
The formula to convert Celsius to Fahrenheit is given by °F = °C × (9/5) + 32
F = [ C × (9/5) + 32 ]
Given that, C = 32
F = 32 × (9/5) + 32
F = 32 [ 1 + (9/5) ]
F = 32 [ 1 + 1.8 ]
F = 32 × 2.8
F = 89.6
What is the factored form of 50x^2-8
Answers
Answer:
2(5x-2)(5x+2)
Step-by-step explanation:
(49p2–490p) ÷(p–10)
please help!!
Answers
Answer:
(49p2–490p) ÷(p–10)
Step-by-step explanation:
Imagina that the cook is using a potato-chopping machine instead of a knife, allowing him to chop a maximum of 120 potatoes instead of 100. Which is the best estimate of the number of hamburgers he could cook if he chopped 100 potatoes with the machine
Answers
The number of hamburgers he could cook is 14 if he chopped 100 potatoes with the machine option (B) is correct.
What is the graph of the best estimate?A mathematical notion called the graph of the best estimate connects points spread throughout a graph.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have shown a graph in the picture that shows the number of hamburgers cooked versus the number of potatoes chopped.
As we can see in the graph,
Number of potatoes chopped = 80
number of hamburgers cooked = 30
Number of potatoes chopped = 90
number of hamburgers cooked = 20
Number of potatoes chopped = 95
number of hamburgers cooked = 10
Number of potatoes chopped = 100
number of hamburgers cooked = 14 (best estimate)
Thus, the number of hamburgers he could cook is 14 if he chopped 100 potatoes with the machine option (B) is correct.
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helppppppppp markingbrainliest
Answers
a)
x×3+4=22
b)
x×3+4=22
x×3=22-4
x×3=18
x=18÷3
x=6
Hope it helps
Answer:
x=6
Step-by-step explanation:
your equation would be X * 3 + 4 = 22
to solve you subtract four from both sides then divide three by both sides because you do the opposite of the sign thats there and you get x= 6! i hope this helped
work out the equation of the line
Answers
Step-by-step explanation:
Hi there!
According to the question;
The gradient of line is 1/2 and passes through the point (4,-2).
Since, It has one point and gradient we use one point formula to find the equation of the line.
Note:
One point formula: (y-y1) = m (x-x1)
(4,-2) = (x1,y1)
So, using this formula we get;
(y+2) = 1/2(x-4)
Multiply both sides by 2.
2(y+2) = (1/2)*2(x-4)
2y+4 = x-4
Take 2y+4 in right side
0 = x-4 - (2y+4)
Therefore, x-2y-8 = 0 is the required equation.
Hope it helps!
Hi there!
We're given the following information:
Slope (gradient) = ¹/₂Point = (4,2)With this information, we can go ahead and plug the data into the point slope equation: y - y₁ = m(x - x₁).
Plug in 1/2 for m, and (4,2) for x1 and y1:
[tex]\sf{y-y_1=m(x-x_1)}[/tex]
[tex]\sf{y-(-2)=\dfrac{1}{2}(x-4)}[/tex]
[tex]\sf{y+2=\dfrac{1}{2}(x-4)}[/tex]
[tex]\sf{y+2=\dfrac{1}{2}x-2}\\\sf{y=\dfrac{1}{2}x-2-2}\\\\\sf{y=\dfrac{1}{2}x-4}[/tex]
Hence, y = 1/2x - 4.
I hope that helps! :)
Give ur answer in standard form.
3 x 10^4 ÷6 x 10^-4
Answers
Answer:
5.0×10⁷
Step-by-step explanation:
(3÷6)×(10⁴÷10^-4)
(0.5)×(10⁸)
5.0×10^-1×10⁸
5.0×10⁷
[tex] \frac{3 \times {10}^{4} }{6 \times {10}^{ - 4} } \\ \\ \frac{1 \times {10}^{4 - ( - 4)} }{2 } \\ \\ \frac{ 1 \times {10}^{4 + 4} }{2} \\ \\ \frac{1 \times {10}^{8} }{2} \\ \\ 0.5 \times {10}^{8} .[/tex]
blem Sets Questions
e the questions below. Show your work.
1. Mike and Juan are going on a road trip for graduation. Together they have $300 dollars to spend on a
rental car. If the company charges a flat fee of $50 plus $0.75 a mile, how many miles can they travel
and still be within their budget?
Answers
Answer:
333.33 miles
Step-by-step explanation:
Let x be the number of miles Mike and Juan drive.
They only have $300, however, so let's set an equation that will tell us how many miles, x, does it take to result in a total bill of $300. The mileage fee will be ($0.75/mile)*(x miles driven). Start with the $300 and subtract both the fixed fee of $50 and the mileage fee of 0.75x and set the result to zero, the point at which they spend $300.
$300 - $50 - ($0.75)x = 0
$250 - ($0.75)x = 0
- ($0.75)x = -$250
x = -($250)/(-$0.75)
x = 333.33 miles
CHECK:
Would Mike and Juan spend $300 on the rental car if they drove 333.33 miles?
Rental Fee: $50
Mileage: ($0.75/mile)*(333.333 miles) = $250
Total Cost: $300 YES
Nothing left for burgers,
