Find the value of x. The diagram is not to scale.
Given: angle SRT = angle STR, M Angle SRT = 20, m angle STU = 4x
Answers
In the given diagram, the value of x is 40
From the question,
we are given that
∠ SRT = ∠STR, and m ∠SRT = 20,
Also, from the question
m ∠STU = 4x
To determine the value of x,
From the diagram,
We can observe that
∠STR + ∠STU = 180° (Sum of angles on a straight line)
Since ∠ SRT = ∠STR, and m ∠SRT = 20,
Then,
∠STR = 20
Then,
∠STR + ∠STU = 180° becomes
20 + 4x = 180
To solve this,
First, subtract 20 from both sides
20 - 20 + 4x = 180 - 20
Then,
4x = 160
∴ x = 160 ÷ 4
x = 40
Hence, the value of x is 40
Learn more here: https://brainly.com/question/20707795
Answer:
Step-by-step explanation:
The answer is 40.
x=40
Related Questions
a service company charges a 5% service fee
Answers
Answeis is that
is that the whole qeustion
Step-by-step explanation:
where is the image
You owe $1,753.42 on a credit card with a limit of $3,000.00 at a rate of 15.5% APR. You pay $400.00 the first 2 months and then
$200.00 until the bill is paid off. You pay the bill on the due date each month.
1) Complete the table showing the decreasing debt.
2) How much is your last payment?
3) What is the total amount paid by the time you pay off the credit card?
4) What was your debt ratio at the beginning?
Be sure to include in your response:
All parts of the table are complete and calculations correct
The answers to the additional questions
Month
Principal
Interest
accrued
Payment (on
due date)
End-of-
month
balance
Answers
9514 1404 393
Answer:
see attached$33.97$1833.970.584Step-by-step explanation:
1. We cannot be sure of your table headings, so we used ones that seem to fit. The completed table is attached.
The amount of interest is computed first. It is the product of the previous balance and the monthly interest rate: 0.155/12. This amount is rounded to cents, as it would be in real life.
The remainder of the payment after interest is paid goes to reduction of the principal amount owed. That payment to principal is subtracted from the previous EOM Balance to give the new end-of-month balance.
The total of payments to date is found in the Accrued Pmt column.
__
2. For the last payment, we made note of the interest owed and the outstanding balance, and added those values to get the payment amount. The result is the final balance is zero. The last payment is $33.97.
__
3. The total of all payments is $1833.97.
__
4. The "debt ratio" is presumed to mean the ratio of the credit card balance to the credit card limit. That ratio is ...
1753.42/3000 ≈ 0.584 . . . . "debt ratio"
_____
Additional comment
Various definitions of "debt ratio" are used by different folks for different purposes. Sometimes, it means the ratio of debt to income. Sometimes it means the ratio of minimum payments due to income. Here, we're not given any income information, so we presume the ratio is supposed to mean the fraction of credit limit that is being utilized.
Your turn: Type in two addition expressions, both of which have an output value of -100.
1) Use two negative numbers.
2) Use one positive number and one negative number.
Answers
Answer:
-50 + -50
only negative...sorry.
Your business is looking into three contracting firms. Based on previous research, there is a 75% chance that company 1 will earn you $40,000. There is a 45% chance that company 2 will earn you $60,000. Company 3 has a 30%chance of earning you $80,000. It costs $20,000 to draw up legal paperwork for each company. How much profit or loss would you expect after this deal is done if you sign with all 3 companies?
$21,000 loss
$81,000 loss
$21,000 profit
$81,000 profit
Answers
there would be a $21,000 profit.
this is because of the equation:[tex]40,000(.75) + 60,000(.45)+80,000(.30)+(-20,000)(1)= 21,000[/tex]
I would expect a $21,000 profit if I sign with all 3 companies.
Given that my business is looking into three contracting firms, and based on previous research, there is a 75% chance that company 1 will earn me $ 40,000, there is a 45% chance that company 2 will earn me $ 60,000, while Company 3 has a 30% chance of earning me $ 80,000, and it costs $ 20,000 to draw up legal paperwork for each company, to determine how much profit or loss would I expect after this deal is done if I sign with all 3 companies, the following calculation must be performed:
((40,000 x 0.75) - 20,000) + ((60,000 x 0.45) - 20,000) + ((80,000 x 0.30) - 20,000) = X 30,000 - 20,000 + 27,000 - 20,000 + 24,000 - 20,000 = X 81,000 - 60,000 = X 21,000 = X
Therefore, I would expect a $21,000 profit if I sign with all 3 companies.
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A 5-k race is 5 kilometers long. How long is it in millimeters?
Answers
Answer: 1 kilometer = 1,000,000 millimeters so multiply that times 5 and you have your answer 5,000,000 millimeters.
slope of the line (1,2)(4,1)
Answers
Answer:
-1/3
Step-by-step explanation:
y2 - y1 / x2 - x1
(1,2)(4,1)
1-2 / 4-1
-1/3
Please help asap show work to
Answers
Answer:
[tex]{ \rm{V(x) = 4x {(10 - x)}^{2} }} \\ \\ { \rm{ \frac{dv}{dx} = 4 {(10 - x)}^{2} + 4x( - 2(10 - x))}} \\ \\ { \rm{ \frac{dv}{dx} = 4 {(10 - x)}^{2} + 4x( - 20 - 2x) }} \\ \\ { \rm{ \frac{dv}{dx} = 4(100 - 20x + {x}^{2} ) + ( - 80x - 8 {x}^{2} ) }} \\ \\ { \rm{ \frac{dv}{dx} = - 4 {x}^{2} - 160x + 400}}[/tex]
• But at maximum volume, dv/dx is 20 square inches.
[tex]{ \rm{ - 4 {x}^{2} - 160x + 400 =2 0}} \\ \\ { \rm{ {x}^{2} + 40x - 95 = 0}}[/tex]
• Using the quadratic formula:
[tex]{ \underline{ \rm{ \: \: x \approx3\: \: squares \: \: }}}[/tex]
• Therefore,
For maximum volume,
[tex]{ \rm{V(x) = 4x(10 - x) {}^{2} }} \\ \\ { \rm{V(3) = (4 \times 3)(10 - 3) {}^{2} }} \\ \\ { \rm{V(3) = 12 \times 49}} \\ \\ { \boxed{ \rm{V = 588 \: {in}^{3} }}}[/tex]
marking as brainliest
Answers
Answer:
3 cm
Step-by-step explanation:
area=length times width.
length=4
width must be 3 as 4x3=12
Let f(x) = x^3 + 2x^2 + 3x + 1 and g(x)= 4x-5 Find f(x) x g(x)
Answers
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
Given :
[tex]f(x) = {x}^{3} + 2 {x}^{2} + 3x + 1[/tex]
[tex]g(x) = 4x - 5[/tex]
let's solve for f(x) × g(x) :
[tex]( {x}^{3} + 2x {}^{2} + 3x + 1)(4x - 5)[/tex]
[tex]4x {}^{4} - 5 {x}^{3} + 8 {x}^{3 } - 10 {x}^{2} + 12 {x}^{2} - 15x + 4x - 5[/tex]
[tex]4 {x}^{4} + 3 {x}^{3} + 2 {x}^{2} - 11x - 5[/tex]
therefore, correct choice is : D
List all the positive even numbers less than 10:
Answers
Answer is
2, 4, 6, 8
what set operation combining all elements that are in two sets?
Answers
HELP! Which expression is equivalent to a^b/c
Answers
Answer:
[tex]{ \rm{ {a}^{ \frac{b}{c} } \: \dashrightarrow \: ( {a}^{b}) {}^{ \frac{1}{c} } }} \\ \\ { \boxed{ \rm{ \boxed{} \: \: \sqrt[c]{ {a}^{b} } }}} \\ [/tex]
will give brainliest to the correct answer
there are 192 candies. some are sour and some are sweet. for every 15 sour there is 1 sweet. how many candies are in the bag? how many are sweet?
Answers
13 are sweet and 179 are sour
i hope this helps and is the correct answer
if you write 14 to the power of 6
in expanded form, how many factors will there be?
Answers
9514 1404 393
Answer:
6
Step-by-step explanation:
The power is used to signify repeated multiplication in the same way a multiplier signifies repeated addition.
14⁶ = 14×14×14×14×14×14
There are 6 factors of 14.
Find the solutions to the following equation.
0 =(x-6)(x+4)
Answers
Answer:
x=6,−4
Step-by-step explanation:
1 Switch sides.
(x-6)(x+4)=0
2 Solve for xx.
x=6,-4
Answer:
2−2−24
Step-by-step explanation:
Solve using the square root method X2=25
Answers
Answer:
Square root =
remember :
[tex]\boxed {x^2 = \pm a}[/tex]
x² = ± a
x = ña
.
x = ñ25
x = ±5
• x = 5 and -5
sqrt x^2= sqrt 25
x=5
Three friends participated in a "Biggest Loser" weight loss competition. The table below shows their starting weight and the weight after two months:
Starting Weight
Weight After Two Months
Jacob
225 pounds
207 pounds
Timothy
200 pounds
188 pounds
Hamza
280 pounds
259 pounds
Who lost the biggest percentage of his starting weight?
You need to find the percentage of weight loss for each participant.
To find the percentage of weight loss use the formula
Starting weight – Weight after two months x 100
Starting Weight
Answers
Answer:
Jacob lost the biggest percentage of his starting weight.
Jacob: 8%
Timothy: 6.4%
Hamza: 7.5%
Formula: (initial weight - new weight)/initial weight times 100.
Step-by-step explanation:
Jacob: 225 pounds - 207 pounds = 12 pounds
x/100 = 12/225
= 1800/225
= 8%
Timothy: 200 pounds - 188 pounds = 12 pounds
x/100 = 12/188
= 1200/188
= 6.4%
Hamza: 280 pounds - 259 pounds = 21 pounds
x/100 = 21/280
= 2100/280
= 7.5%
What is the equation of the blue line?
Answers
Answer:
y = 4x - 3
Step-by-step explanation:
When writing an equation of a line, keep in mind that you always need the following information in order to determine the linear equation in slope-intercept form, y = mx + b:
1. 2 sets of ordered pairs (x, y)
2. Slope (m)
3. Y-intercept (b)
First, we need to choose 2 points from the graph to solve for the slope:
Let (x1, y1) = (0, -3)
(x2, y2) = (1, 1)
Use the following slope formula:
[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]
Substitute the values of the coordinates into the formula:
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{1 - (-3)}{1 - 0} = \frac{1 + 3}{1} = \frac{4}{1} = 4[/tex]
Therefore, the slope (m) of the line = 4.
Next, we need the y-intercept, (b). The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The y-coordinate of the point (0, -3) is the y-intercept. Hence, the y-intercept (b) = -3.
Given our slope, m = 4, and the y-intercept (b) = -3, the linear equation is:
y = 4x - 3
Please mark my answers as the Brainliest if you find my explanations/solution helpful :)
Can anyone help me its due tomorrow
Answers
Answer:
No,the price is not within their budget.
Step-by-step explanation:
Because if you take 144 times 76 you get 10,944 which goes past their budget of 10,000
Answer:
They are over budget by $1,232.
Step-by-step explanation:
They want to replace 144 computer monitors each for $76.
$76 * 144 = $11,232
Their budget is $10,000 so they would be over budget by:
$11,232 - $10,000 = $1,232
> The cost of a popsicle at the snack stand is $0.75. Let p represent the number of popsicles and c represent total cost. Use an equation to represent the relationship between the numbers of popsicles bought and the total cost. Type your answer below.
This is what my previous tutor sent, that I don’t understand:
popsicles price: p = 0.75
c = cost
x = number of popsicles bought.
cost = popsicle price * number bought
c = p * x
c = 0.75x
Answers
Answer:
SWE
Step-by-step explanation:
Please help screenshot attached have 1 hr 30 mins
Answers
Answer:
$202.80
Step-by-step explanation:
y=0.08x+1/20
x=2520
y=0.08x+1.20
0.08*2520+1.20
201.6+1.20
$202.8
9. The total length of the Trans-Canada Highway is 7870 km. About 6% of
the highway is in Alberta. How many kilometres are in Alberta?
Answers
Answer:
472.2 km
Step-by-step explanation:
Find the median of the following set of numbers.
{36, 16, 24, 33, 49}
Answers
Answer:
33
Step-by-step explanation:
First, you need to put it in numerical order: 16, 24, 33, 36, 49
Next, find the number in the MIDDLE of it, which would be 33.
So, the answer is 33.
what number has the prime factorization 2 6th * 5 6th show your work
Answers
Start dividing the number by the smallest prime number i.e., 2, followed by 3, 5, and so on to find the smallest prime factor of the number.
Again, divide the quotient by the smallest prime number
7/8 divided by 3/4 is what?
Answers
Answer:
1/8
Step-by-step explanation:
3/4=6/8
7-6=1
therefore 1/8
Answer:
7/6
Step-by-step explanation:
7/8 divided by 3/4= 7/8 x 4/3 = 28/24= 7/6
What is the Compound interest on a 10,000 investment the earns 6% compound monthlyfor5 years
Answers
Answer:
The total compound interest is $3,488.50, I hope I helped explain how to find total compound interest
Step-by-step explanation:
So the formula for this would be:
A = P(1+r/n)^nt
A = the amount of your principal plus interest, which is the total
P = stands for the principal, which is your original amount invested
r = shows the interest rate in decimal form
n = stands for the number of compounding periods
So to solve for the compound interest we would plug in our numbers in replacement for the letters
The mean weight of five complete computer stations is 163 pounds. The weights of four of the computer stations are 155 pounds, 160 pounds , 165 pounds and 171 pounds what is the weight of the fifth computer
Answers
Answer:
answer : 164 pounds
Step-by-step explanation:
total weight of five computers
163 x 5 = 815 pounds
the weight of the fifth one = total
weight - other four
815-155-160-165-171=164 pounds
hope it helps :)
Solve for w.
–1.01 = 1.4(w + 2) − 2.41
Answers
w=0
Step-by-step explanation:
-1.01=1.4(w+2)-2.41
-1.01=1.4w+2.8-2.41
-1.01=1.4w+0.39
-1.01-0.39=1.4w
+1.4=1.4w
1.4/1.4=w
0=w
So,the answer is w=O
I hope it is very helpful
what is the domain of f in the equation f(x)=2(x-1)^2-4
Answers
Answer:
[tex](-\infty, \infty)[/tex]
Step-by-step explanation:
There are no restrictions on the possible values of [tex]x[/tex], because you can square any number.
Because [tex]x[/tex] can be anything, the domain is all reals or [tex]\boxed{(-\infty, \infty)}[/tex] which means [tex]x[/tex] can be any real number.
Which of the functions below could have created this graph?
Answers
Answer:
D.
Step-by-step explanation:
End behavior : Left up and right down
Even degree with negative leading coefficient
