YOUR is a parallelogram
RUO=120°
RUO=RYO. {opposite angles in parallelogram are equal}
therefore...RYO=120°
RYS + RYO =180°. {linear pairs}
120°+RYO= 180°
therefore..RYO=60°
in ∆RSY
√SRY+RYS+YSR=180°. {sum of angles in triangle add up to 180°}
50°+60°+YSR=180°
110°+YSR=180°
:YSR=70°
Answer:
THEREFORE YSR = 70°
Step-by-step explanation:
RUO = 120°
Therefore,
RYO = 120°
(opposite angles of a parallelogram are equal)
Now,
RYO + RYS = 180° (linear pair of angles)
120° + RYS = 180°
RYS = 180° - 120°
RYS = 60°
Now,
By Angle sum property of a Triangle,
SRY + RYS + YSR = 180°
50° + 60° + YSR = 180°
110° + YSR = 180°
YSR = 180° - 110°
YSR = 70°
What is the value of the constant in the equation that relates the height and
width of this rectangle?
Answer:
14 or 10.4
Step-by-step explanation:
I don’t really understand the question but here I go I’ll try;
The height is 4 and the width is 10, so I think it’s 14 or 10.4.
The Constant that relates the height and width is 5/2.
What is Constant of Proportionality?The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.
Given:
we have the coordinates as (10, 4)
The coordinates shows that when the height of the rectangle is 4 unit then the width of the rectangle is 10.
Using Constant of Proportionality
y= k x
10 = k(4)
k = 10/ 4
k = 5/2
Learn more about Constant of Proportionality here:
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Which of the following is the function for the graph shown?
Answer:
D
Step-by-step explanation:
The zeros from the graph, where it crosses the x- axis are
x = - 2 and x = 3 , then the corresponding factors are
(x + 2) and (x - 3) , then
y = a(x + 2)(x - 3) ( where a is a multiplier )
To find a substitute any point on the graph into the equation
Using (0, - 6 )
- 6 = a(0 + 2)(0 - 3) = a(2)(- 3) = - 6a ( divide both sides by - 6 )
1 = a
y = (x + 2)(x - 3) ← expand using FOIL
y = x² - x - 6 → D
find the percent of soccer and cross country kids in the fall
In the past year Maya watched 34 movies that she thought were very good. She watched 40 movies over the whole year. Of the movies she watched, what percentage did she rate as very good?
Answer:
90 percent
Step-by-step explanation:
the fraction is 90/100 so the percentage is 90%
Which of the following is an extraneous solution
Answer:
3 or
C
Step-by-step explanation:
(45 - 3x)^1/2 = x - 9 Square both sides
45 - 3x = x^2 - 18x + 81 Switch sides
x^2 - 18x + 81 = 45 - 3x Add 3x to both sides
x^2 - 15x + 81 = 45 Subtract 45 from both sides
x^2 - 15x + 36 = 0 Factor
(x - 12)(x - 3) =0
The answers are
x = 12
x = 3
Now the question asks which is extraneous. The answer will be which ever number won't solve the original equation. Looking at it right now, both look OK.
(45 - 3*12)^1/2 = 12 - 9
(45 - 36)^1/2 = 3
(9)^1/2 = 3
So 12 is a proper solution.
What about 3?
(45 - 3*3)^1/2 = 12 - 3
(45 - 9)^1/2 = 9
36^1/2 = 9
6 does not = 9
The extraneous solution is x = 3
the temperature of a city was 26 degrees celsius on Monday the temperature rise by 2 degrees celsius on everyday upto thrusday and fell by 5 degree Celsius on Friday what was the temperature of the city on Friday
Answer: 29 degrees Celsius
Step-by-step explanation:
On Monday, Tuesday, Wednesday, and Thursday, the temperature increased by 2 degrees for a total increase of 8 degrees. Then, on Friday, the temperature decreased by 5 degrees. Since 8 - 5 = 3, the total temperature change is +3 degrees, so the answer is 26 + 3 = 29 degrees
Suzi is 1.7 meters tall. At 2:00 pm, Suzi measures her shadow to be 0.3 meters long. At the same time, a near by tree casts a shadow that is 2.4 meters long. How tall is the tree? (Give your answer in tenths.)
Which rates are equal? Choose 2.
A. 630 miles per 9 hours
B. 1,320 miles
per 24 hours
C. 1,170 miles per 18 hours
D. 455 miles per 7 hours
E. 840 miles per 14 hours
Answer:
C. 1170 miles per 18 hours
D. 455 miles per 7 hours
Step-by-step explanation:
1170/18=65
455/7=65
8/m - b/n simplified
Answer:
[see below]
Step-by-step explanation:
[tex]\frac{8}{m}-\frac{b}{n}\\\\\rightarrow \text{Adjust based on LCM}\\\text{LCM: } mn\\\\\frac{8n}{mn}-\frac{bm}{mn}\\\\\boxed{\frac{8n-mb}{mn}}[/tex]
Hope this helps.
help me please!!!!!!!!
Answer:
1/2
Step-by-step explanation:
An online store increased the price of a shirt by 17% and charged $3 to ship the shirt to a customer. The customer paid $43 for the shirt. What was the original price of the shirt?
Please explain thoroughly how to get the answer. 15 points
Answer:
Check explanation
Step-by-step explanation:
Let
x = original price
Percentage increase in price = 17%
New price = original price + Percentage increase in price
= x + 17% of x
= x + 0.17 * x
= x + 0.17x
= 1.17x
Shipping cost = $3
Total cost = $43
Total cost = New price + Shipping cost
43 = 1.17x + 3
43 - 3 = 1.17x
40 = 1.17x
x = 40 / 1.17
x = $34.188034188034
Approximately,
x = $34.2
The 9th term of an arithmetic progression is 3+3p and the sum of the first four terms is 2p-10, where p is constant. Given that the common difference is 2, find the value of p.
Answer:
3
Step-by-step explanation:
Let's find the first term in terms of p.
So an arithmetic sequence is a linear relation.
That means it will have the same slope no matter the pair of points used. We are given the slope, the common difference, is 2. We are going to use point (9, 3+3p) and (1, t(1)) along with m=2 to find t(1).
[t(1)-(3+3p)]/[1-9]=2
Simplify denominator
[t(1)-(3+3p)]/[-8]=2
Multiply both sides by -8
t(1)-(3+3p)=-16
Add (3+3p) on both sides
t(1)=-16+3+3p
Combine like terms
t(1)=-13+3p
This means we can find the next term by adding 2 this.
t(2)=-11+3p
Let's find the next term by adding 2 this.
t(3)=-9+3p
Finally we can find the 4th term by adding 2 to this
t(4)=-7+3p
We are given the sum of the first 4 terms is 2p-10. So we can write:
-13+3p+-11+3p+-9+3p+-7+3p=2p-10
Combine like terms on left
12p-40=2p-10
Subtract 2p on both sides
10p-40=-10
Add 40 on both sides
10p=30
Divide both sides by 10
p=3.
-----------------
Checking:
t(1)=-13+3p=-13+3(3)=-13+9=-4
t(2)=-11+3p=-11+3(3)=-11+9=-2
t(3)=-9+3p=-9+3(3)=-9+9=0
t(4)=-7+3p=-7+3(3)=-7+9=2
----sum of the first 4 is -4
And 2p-10 at p=3 gives 2(3)-10=6-10=-4
So this part checks out
In general, the pattern that those 4 terms I wrote out follow t(n)=(-13-2)+2n+3p. I know this because the 0th term would have been (-13-2)+3p and this part goes up by 2 each time. The plus 3p part doesn't change.
Anyways t(9)=(-13-2)+2(9)+3p=-15+18+3p=3+3p. And this part looks good too.
What is the value of x?
0 14
0 17
O 27
O 34
PLEASE HELP
-3 raised to the power 0=
Given:
The statement is "-3 raised to the power 0".
To find:
The value of the given expression.
Solution:
We know that [tex]a[/tex] raised to the power [tex]b[/tex] can be written as [tex]a^b[/tex].
Any non zero number raised to the power 0 is always 1. It means,
[tex]a^0=1[/tex], where [tex]a\neq 0[/tex].
-3 raised to the power 0 [tex]=(-3)^0[/tex]
[tex]=1[/tex]
Therefore, the value of the given statement is 1.
PLEASE HELP ME ILL MARK YOU BRAINLIEST !!!!!!!!!!
Step-by-step explanation:
(1/2) / (1/3) = (1/2)(3/1) = 3/2 miles per hour = 1.5 miles per hour
Answer:
Step-by-step explanation:
to find the unit rate, which is what we are looking for, we have to divide the number of miles by the number of hours. Specifically:
[tex]\frac{\frac{1}{2} }{\frac{1}{3} }[/tex] and to work this out, we bring up the bottom fraction and flip it to multiply, giving us:
[tex]\frac{1}{2}[/tex] × [tex]\frac{3}{1}[/tex] which is [tex]\frac{3}{2}[/tex] miles per hour (which is the same thing as walking a mile and a half every hour). The choice you're looking for is the one that reflects 3/2 miles per hour. (I can't see which choice it is; they're too small!)
S.p=315 loss percent =10% c.p=rs=xc.p=?
Given:
S.P. = 315
Loss percent = 10%
To find:
The C.P.
Solution:
Let x be the C.P.
We have,
S.P. = 315
Loss percent = 10%
[tex]S.P.=C.P.-10\%\text{ of }C.P[/tex]
[tex]315=x-\dfrac{10}{100}x[/tex]
[tex]315=x-0.1x[/tex]
[tex]315=0.9x[/tex]
Divide both sides by 0.9.
[tex]\dfrac{315}{0.9}=x[/tex]
[tex]350=x[/tex]
Therefore, the cost price (C.P.) is 350.
someone help me please with this algebra problem
Answer:
60
Step-by-step explanation:
5x + 10y = 800
y = 50
5x + 10(50) = 800
5x + 500 = 800
5x = 300
x = 60
Answer: 60
Step-by-step explanation:
If x = small vehicles and if y = large vehicles and y = 50, then substitute and solve for x. So,
5x + 10(50) = 800
5x + 500 = 800
5x = 300
x = 60
So, the number of small vehicles is 60.
A student drops their notes and their papers scatter. The fact that the papers scatter and do not remain neatly stacked is an illustration of :
Answer:
-- increase in entropy
-- second law of thermodynamics
Step-by-step explanation:
The 1st law of thermodynamic states that there is conservation of energy, i.e. we cannot create energy and we cannot destroy energy also in an isolated system.
The given example is not a representative of the 1st law.
The [tex]\text{2nd law of thermodynamics}[/tex] states that there is a natural tendency of an isolated system to [tex]\text{degenerate}[/tex] into a more [tex]\text{disordered state.}[/tex] Before dropping the notes and papers were in an isolated ordered system.
After dropping the papers scattered and did not remain in a stack position. It moves into a more disordered state.
Begore dropping down the notes and papers, they were in a stable position, i.e. no kinetic energy is there. No randomness when the notes and the papers were dropped. There is an increase in kinetic energy. There is randomness among the molecules by bombardment. So there is an increase in entropy.
Thus, above illustrations represents :
an increase in entropythe second law of thermodynamicsCan you please help me with this?/
Answer:
1.3 meters
Step-by-step explanation:
The question is: What is the position of Michael's hands relative to the surface of the water?
It seems like it is asking for the amount of space between Michael's hands, and the surface of the water.
His hands are 1.8 meters below his feet, and his feet are 0.5 meters above the water.
To solve: subtract
1.8-0.5
1.3
I hope this helps!
question in picture, math.
Answer:
beginning of march 4.1
beginning of jun 6.4
Step-by-step explanation:
Can you help with 7-10
Answer:
7.Mean=Ex/n
= 88+96+92+84+86+92+98/7
=90
(b). Median = {84,86,88},92,{92,96,98}
=92
(C).Mode=92 ; it is the number with the highest frequency
9.Mean=Ex/n
=28+26+32+24+27+32+29/7
=28
(b).Median={24,26,27},28,{29,32,32}
=28
(c).Mode=32;it is the number with the highest frequency.
8.Mean=Ex/n
=3.5+5.7+9.8+7+12.4+10.2/6
=8.1
(b).Median={3.5,5.7},7,9.8,{10.2,12.4}
=7+9.8/2
=8.4
(c).Mode=no mode
10.Mean=Ex/n
=2+6+9+8+8+2+8+7+5+4/10
=5.9
(b).Median={2,2,4,5},6,7,{8,8,8,9}
=6+7/2
=6.5
(c).Mode= 8;it is the number with the highest frequency.
I hope this helps.
A discount site decreases the price of cell phones by . Select the two expressions that represent the discounted price of a phone costing dollars.
A
0.40ddd
B
0.60ddd
C
d−d-d−0.60
D
d−d-d−0.60ddd
E
1−-−0.60ddd
The percentage discount given on the prove is not supplied ; Assume the percentage discount given on the phone is 60%
Answer:
0.4d
d - 0.6d
Step-by-step explanation:
Given that :
Percentage Discount given on phone = 60%
The discounted pice :
Initial percentage = 100%
Discount percentage = 60%
(100% - 60%) of price
(100% - 60%) * d
40%*d
0.4d
Also ;
(100% - 60%) * d
100%*d - 60%d
d - 0.6d
what is the missing reason in the proof?
Could somebody explain this to me please
Answer:
it will be 50°
Step-by-step explanation:
I'll give you some of the other answers to see if you get it:
m <1 : 180-50 =130
m <5: 180
m <4: 180
m<7: 50
Step-by-step explanation:
I'm not good at geometry but I was trying to explain that you need to follow all your rules at geometry so that you canget your answer right
hello what I can say to you is that you need to follow the rules whereby they say the corresponding angles to the exterior angles then make sure that you follow all the rules that straight line add up into 180 degrees say for example a is equal to b
Someone please help me I’m literally struggling
Hello,
We have :
27 = 3³ = 3 × 3 × 3
[tex]x[/tex]³ = [tex]x[/tex] × [tex]x[/tex] × [tex]x[/tex]
So :
The cube root of 27[tex]x[/tex]³ is :
3 × [tex]x[/tex] = 3[tex]x[/tex]
( because : (3[tex]x[/tex])³ = 27[tex]x[/tex]³ )
We have :
8 = 2³ = 2 × 2 × 2
So :
The cube root of 8 is : 2
[tex]a^{3} +b^{3} = (a+b)(a^{2} -ab+b^{2} )[/tex] with [tex]a=3x[/tex] and [tex]b=2[/tex]
We have :
[tex](3x)^{3}+2^{3}=(3x+2)((3x)^{2} -(3x)(2)+(2 )^{2} )[/tex]
Have a nice day :)
On an English test, John scored 50 points on the essay portion. The test also had short-answer questions worth 2.5 points each. Choose an expression for John’s total points if he answered r short-answer questions correctly.
Answer:
2.5x+50
Step-by-step explanation:
A college with a graduating class of 4000 students in the year 2010 predicts that its graduating class will grow 5% per year.
Using an exponential function to model the number of students y in the graduating class t years after 2010 to predict the number
of students in 2017?
Hello,
[tex]u_0=4000\\u_1=4000*1.05 (for\ year\ 2011)\\\\u_n=4000*1.05^n\\So:\\year\ 2017: u_7=4000*1.05^7=5628,401690625\ \approx{5628}[/tex]
Using an exponential function, the number of students y in the graduating class 7 years after 2010 i.e. in 2017 will be 5628.4
What is an exponential function?y = abˣ, where a is the initial population, b is the rate, and x is the time, is the standard exponential function.
How to solve this problem?Here initial student population = 4000.
Rate = 5% = (100 + 5)/100 = 1.05
Time = 7 years.
Now, in 2017, the population will be y = 4000 * (1.05)⁷ = 5628.401691 ≅ 5628.4.
Therefore, using an exponential function, the number of students y in the graduating class 7 years after 2010 i.e. in 2017 will be 5628.4
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The table below represents a linear function f(x), and the equation represents a function g(x): X) -1, 0, 1 F(x) -5, -1, 3 G(x)=4x+3
Part A. Write a sentence to compare the slope of the two functions and shows the steps you used to determine the slope of f(x) and g(x)
Part B which functions has greater y-intercept. Justify
Answer:
(a) g(x) has a greater slope
(b) g(x) has a greater y intercept
Step-by-step explanation:
Given
[tex]x \to -1,0,1[/tex]
[tex]f(x) \to -5,-1,3[/tex]
[tex]g(x) = 4x + 3[/tex]
Solving (a): Compare the slopes
Slope (m) is calculated as:
[tex]m =\frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, for f(x), we have:
[tex]m =\frac{-1- 0}{-5- -1}[/tex]
[tex]m =\frac{-1}{-4}[/tex]
[tex]m =\frac{1}{4}[/tex]
For g(x), we have:
Assume [tex]g(x) = mx + c[/tex] then the slope is m
Compare the above to [tex]g(x) = 4x + 3[/tex]
Then the slope of g(x) is 4
g(x) has a greater slope
Solving (b): Function with greater y intercept
Here we set [tex]x= 0[/tex]
From the table of f(x)
[tex]f(x) = -1[/tex] when [tex]x = 0[/tex]
From [tex]g(x) = 4x + 3[/tex]
[tex]g(0) = 4 * 0 + 3[/tex]
[tex]g(0) = 3[/tex]
Hence:
g(x) has a greater y intercept
A claim is reviewed for MOHS surgery on the foot that was performed in 1 stage with 6 tissue blocks. The claim was reported with 17311, 17312-51, 17312-51. Is this correct
Answer:
17311, 17315
Step-by-step explanation:
Explanation,
Mohs surgery, also known as chemosurgery, created by a general surgeon, Dr. Frederic E. Mohs, is performed to remove complex or ill-defined cutaneous malignancy.List Of CPT Codes For Mohs Surgery
CPT Code 17311 and CPT Code 17313 are the base codes for the range of this surgery. CPT Code 17312, CPT Code 17314, and CPT Code 17315 are the add-on codes for this range.
Description Of CPT Code 17311
Moh’s micrographic technique, including removal of all gross tumor, surgical excision to tissue specimens, mapping, color coding of specimens, microscopic examination of specimens by the surgeon, and histopathologic preparation including routine stain(s) (eg. Hematoxylin and eosin, toluidine blue), head, neck, hands, feet genitalia, or any location with surgery directly involving muscle, cartilage, bone, tendon, major nerves, or vessels; first stage, up to 5 tissue blocksDescription Of CPT Code 17315 (addon)
CPT Code 17315 may be used to report each block after the first 5 blocks for any single-stage.
Moh’s micrographic technique, including removal of all gross tumor, surgical excision of tissue specimens, mapping color coding of specimens, microscopic examination of specimens by the surgeon, and histopathologic preparation including routine stains(s) (eg. Hematoxylin and eosin, toluidine blue), each additional block after the first 5 tissue blocks, any stage (List separately in addition to code for primary procedure)Extras
Description Of CPT Code 17312 (addon)
Each additional stage after the first stage, up to 5 tissue blocks (List separately in addition to code for primary procedure)
Description of CPT Code 17313
Moh’s micrographic technique, including removal of all gross tumor, surgical excision of tissue specimens, mapping, color coding of specimens, microscopic examination of specimens by the surgeon, and histopathologic preparation including routine stains(s) (eg. Hematoxylin and eosin, toluidine blue), of the trunk, arms, or legs; first stage, up to 5 tissue blocks
Description Of CPT Code 17314 (addon)
Each additional stage after the first stage, up to 5 tissue blocks (List separately in addition to code for primary procedure).
For the given triangle find the exact value for sin(A). Assume angle C is a right angle.
Answer:
53.13 degrees
Step-by-step explanation:
In order to use sin we have to use the opposite side over the hypotenuse.
[tex]\frac{4}{5}[/tex] in this case
sin(A) = [tex]\frac{4}{5}[/tex]
[tex]A = sin^{-1} \frac{4}{5}[/tex]
Plugging this into the calculator you get about 53.13 degrees