If mQOS = 46, and mPOR = 61
and mPOQ = 28, what is mROS?
Answer:
ROS = 225°
Step-by-step explanation:
The four corners of the squares add up to 360°
Hope it helps you
Angles at a point add up to [tex]360^o[/tex]. The measure of [tex]m\angle ROS[/tex] is [tex]225^o[/tex]
Given that:
[tex]m\angle QOS = 46^o[/tex]
[tex]m\angle POR = 61^o[/tex]
[tex]m\angle POQ = 28^o[/tex]
The 4 angles (i.e. QOS, POR, POQ and ROS) are all angles at a point (i.e. point O).
This means that we can apply the angle at a point theorem.
The theorem is represented as:
[tex]m\angle QOS +m\angle POR +m\angle POQ + m\angle ROS = 360^o[/tex] --- i.e. angles at a point add up to [tex]360^o[/tex]
So, we have:
[tex]46^o + 61^o + 28^o + m\angle ROS = 360^o[/tex]
[tex]135^o + m\angle ROS = 360^o[/tex]
Collect like terms
[tex]m\angle ROS = 360^o -135^o[/tex]
[tex]m\angle ROS = 225^o[/tex]
Hence, the measure of [tex]m\angle ROS[/tex] is [tex]225^o[/tex]
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earth is approximately 9 x 10^7 miles from the sun. neptune is approximately 3x10^9 miles from the sun. neptune is approximately _____ times farther from the sun than earth
Answer:
[tex]33[/tex] times
Step-by-step explanation:
Distance between Earth and the sun [tex](D)[/tex] = 9 × [tex]10^{7}[/tex] miles = [tex]90,000,000[/tex] miles
Distance between Neptune and the sun [tex](d)[/tex] = 3 × [tex]10^{9}[/tex] miles = [tex]3,000,000,000[/tex] miles
Find [tex]\frac{d}{D}[/tex].
[tex]\frac{d}{D}=\frac{3,000,000,000}{90,000,000} =33.3[/tex] ≈ [tex]33[/tex]
Therefore,
Neptune is approximately [tex]33[/tex] times farther from the sun than earth
A professor in one city earns $61,000 a year. A bioengineer earns $95,750. A nurse earns $50,600. What is the difference in salary between the professor and nurse?
Answer:
The difference is 10,400$.
Step-by-step explanation:
$61,000-$50,600=$10,400
What is the value of 16 • 2-2?
Answer:
= 30
Step-by-step explanation:
Jackson is given the expression below to simplify.
9x - 4 + 4x + 5x + 19
Which expression is equivalent to Jackson's expression?
0 3(6x + 5)
0 18x + 23
05(x + 2)
0 14x + 19
Answer:
it should be 3(6x+5)
Step-by-step explanation:
3(6x + 5) will be equivalent expression of 9x - 4 + 4x + 5x + 19 so option (A) will be correct.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
Given the expression,
9x - 4 + 4x + 5x + 19
By adding variables and constants individually
(9x + 4x + 5x) + (-4 + 19)
⇒ 18x + 15
Taking common 3
⇒ 3(6x + 5)
Hence "3(6x + 5) will be equivalent expression of 9x - 4 + 4x + 5x + 19".
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Select the correct answer. If and , what is the domain of f(x) ÷ g(x)? A. all values of x B. (, -1), (-1, 2), and (2, ) C. (, 2) and (2, ) D. (, -1] and [2, )
Answer:
b
Step-by-step explanation:
Answer:
(-∞, -1) (-1, 2) (2, ∞)
Step-by-step explanation:
s: There are 347 sixth grade students.They are going on a class trip to bush Gardens
. Each bus holds 32 students How many buses are needed? Will all the seats
be filled? If not, how many will Empty.
Answer: They would need 11 buses, and no, the seats will not be completely filled and five seats would be empty,
Step-by-step explanation:
Sorry if this didn’t help as much
What number is equivalent to 47/9
Answer:
[tex]\frac{47}{9}[/tex] = 5 [tex]\frac{2}{9}[/tex]
5 2/9 [tw0 0ver nine]
h0pe this is c0rrect l0l-
Two students are reading a novel. Ashley reads 2 pages per day. Carly reads 1 page per day, but she starts early and is already on page 5. When will the two students read on the
same page?
Ashley:p=2d
Carly:p=d+5
if JK is the midsegment of triangle GHI, find x
Answer:
C. 11
Step-by-step explanation:
Since JK is a midsegment of ∆GHI, therefore, based in the midsegment theorem:
JK = ½(HI)
HI = 22
Therefore,
JK = ½(22)
JK = 11
Enter your answer and show all the steps that you use to solve this problem in the space provided.
A graph with horizontal axis x and vertical axis y. Polygon WXYZ is plotted at the following points. W: left-parenthesis a comma 4b right-parenthesis. Z: left-parenthesis 0 comma b right-parenthesis. X: left-parenthesis 2a comma b right-parenthesis. Y: left-parenthesis a comma 0. Two dotted perpendicular lines WY and XZ are shown within the polygon.
Write a coordinate proof of the following theorem.
If a quadrilateral is a kite, then its diagonals are perpendicular. 60 POINTS
Answer:
sorry can u add a picture?
Step-by-step explanation:
if there is one sorry...
If x-6= 3, what is the value of x + 2
Answer:
since X would be equal to 9, x + 2 would be equal to 11
What is the perimeter of the figure
Answer:
38m
Step-by-step explanation:
the top side is equal to
2 + 5 + 1 = 8
the perimeter:
9 + 7 + 8 + 2 + 4 + 5 + 2 + 1 = 38
PLS HELP GIVING BRANLIEST AND GIVING 25 PTS PLS HELPP!!!!
Answer:
108.0625
Step-by-step explanation:
Add all the differences to the initial value
Could you help me plz
Answer:
Step-by-step explanation:
(For a circle)
Circumference formula: π*2r
Area formula: π*r^2
1:
A)
π*2(3) =>6π=>18.84 m
B)
π*(3)^2=>9π=>28.27 m^2
2.
A)
π*2(3.1)=>6.2π=>19.47 m
B)
π*(3.1)^2=>9.61π=>30.19 m^2
Help me solve this plz 7(3x+6)=11-(x+2)
Answer:
i think - 3/2
Step-by-step explanation:
Factorise fullyc^3+ c^2
Answer:
c^2( c+1)
Step-by-step explanation:
c^3+ c^2
The greatest common factor is c^2
c^2( c+1)
MARKING BRAINLY ASAP
Answer:
https://brainly.com/question/20936691
I answered it here, but you might have to search the answers for part A. Sorry.
Which answer is a solution for x?
X/7= 8
A 8
B 15
C 48
D 56
HELP MEH PLS PLS ASAP PLEASE
Let f(x) be defined on the positive real numbers as follows:
Start with a number x.
Take the square root of the number and add 3 more than the number you started with.
Square the result and add 2 more than the original number.
Finally, divide the result by 2 more than the square of the original number.
Required:
Write a formula for f(x).
Answer:
[tex]f(x)=\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]
Step-by-step explanation:
We have to find the formula for f(x)
Let x be the number
According to question
Now,
[tex]\sqrt{x}+x+3[/tex]
Now,
After squaring we get
[tex](\sqrt{x}+x+3})^2[/tex]
Add x+2 to above result then, we get
[tex](\sqrt{x}+x+3})^2+2+x[/tex]
Then,
[tex]\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]
Therefore, the formula for f(x) is given by
[tex]f(x)=\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]
PLEASE HELP! i have to turn this in by the end of the day. PLEASE DONT GUESS :)
Evaluate the expression when b=2 .
b⋅5 =
Answer:
Answer:
[tex]b*5 = 10[/tex]
Step-by-step explanation:
Given
[tex]b = 2[/tex]
Required
Evaluate [tex]b*5[/tex]
To do this, we simply substitute 2 for b in [tex]b*5[/tex]
[tex]b*5 = 2 * 5[/tex]
[tex]b*5 = 10[/tex]
The result of the expression is 10
Chris and Maddie share in the ratio 3:5 How much do they each receive?
solve for e
3 + 8e + 5 = -3e +13 + 10e
0.7 is 0.5% of what number?
...............140...............
Which is bigger 1/4 or 0.21
Answer:
1/4
Step-by-step explanation:
1/4=0.25
Distribute -3(2n + 8)
Answer:
-6n - 24
Step-by-step explanation:
-3(2n) = -6n
-3(8) = -24
The number of tourists visiting a city doubles every month during the two-month period beginning in Jan, 1st and ending
in Feb, 28th each year, if the number of tourists who visited the city in the beginning of January in that particular year was
x, how many tourists visited the city at the end of February that year?
The number of tourists who visited the city at the end of February that year is 4x.
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,
The number of tourists visiting the city doubles every month, which means the number of tourists at the end of January is 2 times the number of tourists at the beginning of January, or 2x.
Similarly, the number of tourists at the end of February is 2 times the number of tourists at the end of January, or 2(2x) = 4x.
Therefore,
The number of tourists who visited the city at the end of February that year is 4x.
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Find the slope of the line that passes through (7, 5) and (4, 1).
ILL GIVE BRAINLIEST TO FIRST PERSON TO ANSWER
Answer:
Slope=-4/-3
Step-by-step explanation:
x1=7, x2=4, y1=5, y2=1
m=y2-y1/x2-x1
m=1-5/4-7
m=-4/-3
Which shows a proportion comparing the rise and run for each of the similar slope triangles,
and the numeric value?
y
Your Answer
?
BC
YZ
YX
b) - B:
d) = 4:2
c) 4 - BA
122
Answer:
1/2 = 3/6
Step-by-step explanation:
Slope = Rise / Run
Rise = change in yaxis = y2 - y1
Run = change in x axis = x2 - x1
For the smaller triangle :
Rise = MO = 1 unit
Run = NO = 2 units
Thus;
slope = 1/2
For the larger triangle :
Rise = PR = 3 unit
Run = QR = 6 units
Thus ;
Slope = 3/6
Smaller = larger
1/2 = 3/6