Answers
Answer:
Step-by-step explanation:
As RS is a straight line sin ∠RUT = sin ∠SUT
line UT bisects ∠RTS
Let θ be ∠UTR and ∠UTS
Law of sines
Left side triangle
3x/sinθ = 40/sinRUT
sinRUT = 40sinθ / 3x
Right side triangle
(x + 2) / sinθ = 16 / sinSUT
(x + 2) / sinθ = 16 / (40sinθ / 3x)
(x + 2)(40sinθ / 3x) = 16sinθ
(x + 2)(40sinθ) = 48xsinθ
40xsinθ + 80sinθ = 48xsinθ
40x + 80 = 48x
80 = 8x
x = 10
Related Questions
what is the probability of a person randomly selecting an apple pie, eating it, then selecting another apple pie
Answers
Answer:
if its me then i will bye the store. but the answer is 50%
Step-by-step explanation:
Rest of the options
Answers
Yep, it's C. The answer is C
What are 5 rules to follow in a science lab?
Answers
Answer:
Step-by-step explanation:
1. Wear safety glasses
2. Be accompanied by an adult
3. Wear proper lab clothing
4. Alert Lab instructor if an accident were to happen
5. Follow all instructions given by lab instructor
What is the equation in point-slope form of a line that passes through the points (−4, −1) and (5, 7) ?
y−1=8/9(x−4)
y+1=8/9(x+4)
y+4=9/8(x+1)
y+1=8/7(x+4)
Answers
Answer:
y+1=8/9(x+4)
Step-by-step explanation:
Tell me if you want one!
a line has a slope of -19/8 and passes through the point (0,12). what is its equation in slope intercept form
Answers
Answer:
y=-19/8x+12
Step-by-step explanation:
Slope intercept form is
y=mx+b
m is slope
b is y-intercept
So we already know what the slope is so we can plug that in
y=-19/8x+b
Now with the point we can substitute x and y with the point values
[Remember a point is (x,y)]
0 is x
12 is y
12=b
So the slope intercept form of this is
y=-19/8x+12
Hope this helps!
A box of pens cost $6.50 and a box of pencils is $4.00. Jane gets 15% commission of each box of pencils sold. Calculate Jane's commission if sells 20 boxes
Answers
Answer:
$12
Step-by-step explanation:
Jane's commission is the product of sales and her rate.
commission = (20)($4.00)(0.15) = $12.00
Jane's commission is $12.00 if she sells 20 boxes of pencils.
Can some help please
Answers
Answer:
9×10^16
Step-by-step explanation:
Only if the power is the same, you can just add the first numbers
You just need to combine.
The rule (a) = a tells us we can just remove the parenthesis.
2*10^16 + 7*10^16
That would equal to 9 x 10^16 because when adding exponents, you keep them the same.
A line that passes through the points (12,12) and (20,6)
Answers
Answer:
8,48 I think
Step-by-step explanation:
I subtracted them from each other
The required equation of the line is given as y = -6x / 8 + 21.
Given that,
A line that passes through points (12,12) and (20,6)
The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.
here,
Standard equation of the line,
y -y₁ =(y₂ - y₁) / (x₂ - x₁) (x - x₁)
Substitute the point in the above equation,
y - 12 = (6-12)/(20 - 12)[x - 12]
y = -6/8[x - 12] + 12
y = -6x/8 +9 + 12
y = -6x / 8 + 21
Thus, the required equation of the line is given as y = -6x / 8 + 21.
Learn more about slopes here:
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The slope of the line whose equation is 2x + 5y + 1 = 0 is
Answers
Answer:
the slope is -2/5
Step-by-step explanation:
Solve for y.
2x + 5y + 1 = 0
5y = -2x - 1
y = -2/5 x - 1/5
Compare to
y = mx + b, where m is the slope.
m = -2/5
Answer: the slope is -2/5
The area under the graph line
made with the x-axis represents
the change in position of the
object on a velocity versus time
graph. (5 points)
Answers
The statement is true: the area under the graph line made with the x-axis
represents the change in position of the object on a velocity versus time
graph.
Reasons:
[tex]\displaystyle Velocity = \frac{Dislacement}{Time}[/tex]
The area under the velocity time graph is given by the integration of the function for the velocity over the time interval.
A constant velocity is an horizontal line and the integration of a constant with time, gives the product of time and the constant, which is area under the rectangular graph.
Therefore, the area under the graph line made with the x-axis represents the change in position of the object on a velocity versus time graph.
Learn more here:
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Answer: True
Step-by-step explanation:
75 is what percent of 150
Answers
75 is what percent of 150
Explanation:Percentage Calculator:75 is what percent of 150=50
Answer:50
Answer:
75 is 50 percent of 150.
Step-by-step explanation:
This is a pretty simple concept. First of all for this question, you should have noticed that 75 is half of 150. 50% is equal to 1/2.
There are a couple of methods you could use to solve this problem, if you are using a calculator, a simple way to solve percentage problems is to do 75 divided by 150 (in this case) which gives you 0.50.
If you do not have a calculator and you have to do this on paper, you need to do the classic proportion method. Make two fractions, 75 over 150, and x over 100. (x is what is used to represent an unkown amount.)
We are using over 100 because that is what a percent represents: an amount that is a fraction of 100. now you need to cross multiply. That would be 75 x 100. That equals 7,500. Now cross multiply the other way. That is 150x or represent 150 times x. Now solve the equation 150x = 7,500. To solve this you need to isolate the variable, x by dividing the 150 multiplying the x. That is the coefficient. the attached number next to it. After you do that, you need to divided the other side of the equation by 150. 7,500 divided by 150 equals 50.
After that you will find that the equation shows the value x = 50. You have now found the value of x.
I hope this helps :)
geomtry plzzzz help 15 points
Answers
Answer:
True.
Step-by-step explanation:
The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side. this makes it possible for the triangle to be formed.
figure b is a scaled copy of figure a
Answers
Step-by-step explanation:
figure B is a scaled copy of figure B
by scale factor : 1/2
help any body plzs i will give brianlyest
Answers
- BRAINLIEST answerer
which function is equivalent to f(n)=(n+2)^2+n^2-4
Answers
i hope this helps .
if you get it right ill mark brainliest
Answers
Answer:
Step-by-step explanation:
? i cant see what the page is
cosθ(tanθ + cotθ) =
• cscθ
• secθ
• cos^2θ
• 1
Answers
Answer:
ayo i think is ufo trying to communicate hey alien we come in peace
Step-by-step explanation:
[tex]\cos \theta(\tan \theta + \cot \theta)\\\\=\cos \theta \tan \theta + \cos \theta \cot \theta \\\\=\cos \theta \left (\dfrac{\sin \theta}{\cos \theta} \right)+ \cos \theta \left(\dfrac{\cos \theta}{\sin \theta} \right)\\\\\\=\sin \theta + \dfrac{\cos^2 \theta}{\sin \theta}\\\\=\dfrac{\sin^2 \theta + \cos^2 \theta}{\sin \theta}\\\\=\dfrac 1{\sin \theta}\\\\=\csc \theta[/tex]
3. If Superman can fly .25 miles in 8 seconds, how far could he fly in...
(a) 40 seconds?
Answers
Answer:
1.25 miles
Step-by-step explanation:
0.25 miles = 8 seconds
x miles = 40 seconds
0.25/8 = x/40
0.25 * 40 = 8x
10 = 8x
x = 1.25
-Chetan K
Triangle abc is similar to triangles def ghi and jkl the scale factors for the dilations that show triangle abc is similar to each triangle are in the table
Find the side lengths of triangles def ghi and jkl record them in the table
Answers
GHI 12 15 21
JKL 2 5/2 7/2
Ricky paddles his canoe at a rate of 6 miles per hour in still water. Last weekend he canoed
on Carver Creek going downstream with the current for 9 miles and then returning upstream
against the current. If the trip took him 4 hours to complete, what equation can be used to find
the speed of the current
Answers
Answer:
3 miles/hour
Step-by-step explanation:
Well, we already know that the speed at which he paddles is 6 miles/hour
Since his net speed while going down stream is his speed plus the current's speed, here's what we have:
NetSpeed = HisSpeed + CurrentSpeed
Replace the values we already know:
9 = 6 + x
X = 3 miles/hour
An equation that can be used to find the speed of the current is,
4 = 9/(4 - x) + 9/(4 + x).
What is speed?Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.
Given:
Ricky paddles his canoe at a rate of 6 miles per hour in still water.
Last weekend, he canoed on Carver Creek, going downstream with the current for 9 miles and then returning upstream against the current.
The trip took him 4 hours to complete.
The downstream rate = 4 + x
And the upstream rate = 4-x.
Then an equation can be used to find the speed of the current is,
4 = 9/(4 - x) + 9/(4 + x)
Therefore, the equation is 4 = 9/(4 - x) + 9/(4 + x).
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Zhao Co. has fixed costs of $416,000. Its single product sells for $185 per unit, and variable costs are $121 per unit. Compute the level of sales in units needed to produce a target (pretax) income of $128,000.
Answers
9514 1404 393
Answer:
8,500 units
Step-by-step explanation:
The contribution margin from each unit is ...
$185 -121 = $64
To accumulate a total contribution that will cover the fixed costs and the desired income, you require sales of ...
($416,000 +128,000)/($64/unit) = 8,500 units
43=8c-5 what is the value of c in this equation
Answers
Answer:
Move all terms that don't contain c to the right side and solve.
c = 6
Step-by-step explanation:
The table shows two ways to mix red paint and white paint to make the same shade of pink. How many cups of red paint should be added to 1 cup of white paint to make the same shade of pink?
Answers
This is the answer which is not right because this is for points...
Central/Inscribed angles pls help with work <3
Answers
Answer:
Step-by-step explanation:
Arc angle KLM will be twice ∠KSM = 210°
Arc angle ML will be 210 - 130 = 80°
Arc angle LMS will be twice ∠LKS = 160°
Arc angle SM will be Arc angle LMS - ML = 160 - 80 = 80°
The points in the table lie on a line. Find the slope of the line
Answers
Answer:
click the button and use it as and use it
Answer: 3x10^2 mi
example:
Answers
Answer:
3000
Step-by-step explanation:
Answer:
300
Step-by-3step explanation:
If X is a factor of Y and Y is a factor of Z then X is a factor of Z. If so then how
PLS HELP HELP HELP HELP HELP HELP HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
then z is a factor of x??? huh??
1.
All the sides of a triangle are the same length. If their lengths are 6 cm, what is the perimeter?
Answers
Answer: 6
Step-by-step explanation: Solution: Perimeter of the triangle is the sum of the lengths of its sides. Thus, perimeter = 10 cm. 6.
Cumulative GPA (CGPA) of a student is defined as the sum of the product of all grades multiplied by the credits of the corresponding class, divided by the sum of all credits. For instance consider a student took three courses with 3, 3, and 4 credits. Assume that the grades of this student from these courses are 4.0, 3.7, and 3.3.
The CGPA of this student is: __________
Answers
Answer:
probably about 3.5
Step-by-step explanation:
Help me with this answer please
Answers
Answer:
£6.25
Step-by-step explanation:
2.25 x 15 = 33.75
40 - 33.75 = 6.25
Answer:
£6.25
Step-by-step explanation:
Hii,
So if each lesson is 2.25, you times this by 15 to get the total amount of payment. £2.25 x 15 = 33.75
To get change, you need to take away the amount you are giving by how much the bill is.
£40 - £33.75 = £6.25
I hope this helped :P
