Measures of the given angles:
∠S = 25° and ∠R = 47°
What is an angle?In geometry, an angle is formed when two rays are joined at their endpoints. These rays are called the sides or arms of the angle.
There are two main parts related to an angle - the arms and the vertex.
Given,
Measure of angle R is 3 degrees less than twice the measure of angle S
⇒ 2∠S - ∠R = 3°
⇒ ∠R = 2∠S - 3° ------(a)
Sum of R and S
⇒ ∠R + ∠S = 72°
Substituting ∠R in terms of ∠S in above equation from equation (a)
2∠S - 3° + ∠S = 72°
3∠S - 3° = 72°
3∠S = 72° + 3°
3∠S = 75°
∠S = 75°/3
∠S = 25°
Substituting value of ∠S in equation (a)
∠R = 2 × 25° - 3°
∠R = 50° - 3°
∠R = 47°
Hence, ∠S = 25° and ∠R = 47° are the measures of given angles.
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please please help with equations
Answer:
Clara: y=40x+ 50 Hector: y=35x+100To cost the same we need to set the equations equal to each other 40x+50=35x+1005x=50 --> x= 10hours I do exams and quizzes if your interested!HELP DUE IN 15 mins need help ASAP please!!!!!
idek but imma ask mah mate who's a maths genius or whateva to help out ig
Rachel loves to read. Her favorite books are Dr Suess. For every 13 books Rachel owns 8 are Dr Suess books.
If Rachel had 32 Dr Suess books, how many books did she have in total?
Answer:
32
Step-by-step explanation:
Which lines in the diagram must be parallel?
(not drawn to scale)
514
1337
47°
q
S
Answer
47
Step-by-step explanation:
In ΔMNO, n = 92 inches, ∠N=119° and ∠O=20°. Find the length of m, to the nearest 10th of an inch.
Answer:
Step-by-step explanation:
The length of the side of the triangle will be 69 inches.
What is the sine law?The Law of Sines The law of trigonometric functions, sine law, sine formula, or sinusoidal rule is a trigonometric equation that relates the sizes of any triangle's edges to the sines of its orientations.
The sine law in the triangle ΔMNO is given as,
n / sin N = m / sin M = o / sin O
The third angle is calculated as,
∠M + ∠N + ∠O = 180°
∠M + 119° + 20° = 180°
∠M = 41°
The length m is calculated as,
n / sin N = m / sin M
92 / sin 119° = m / sin 41°
m = 69 inches
The length of the side of the triangle will be 69 inches.
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Which of the following equations represent exponential growth functions? Choose all that apply.
a) f (x)=4^x
b) f (x)=(1/4)^-x
c) f (x)=(2/3)^x
d) f (x)= (2.3)^x
e) f (x)=(.8)^x
Option:-
a) f(x) = 4^x is applicable
b) f(x) ={ (1/4)^-x = 4^x }is applicable
c.) f(x) = (2/3)^x is not applicable
d.) f(x) = (2.3)^x is applicable
e.) f(x) = (.8)^x is not applicable
Options (a), (b) and (d) are exponential growth functions.
What is Exponential function?An exponential decay is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier which is less than 1.
By the Exponential decay form,
An exponential decay is in the form: y = abˣ
(a) f (x)=4ˣ is applicable as 4>1
(b) f (x)=(1/4)⁻ˣ is applicable as (1/4)-1=4>1
(c) f (x)=(2/3)ˣ is not applicable because 2/3<1
d) f (x)= (2.3)ˣ is applicable as 2.3>1
e) f (x)=(.8)ˣ is not applicable, 0.8<1.
So options (a), (b) and (d) are applicable for exponential growth functions.
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Help me please!! I don’t know what a quadratic graph is and need help answering this question! ASAP
Answer:
C
Step-by-step explanation:
It takes Kevin 5 minutes to jog once around a
circular track that has a diameter of 400 meters.
About how many meters per minute is Kevin
jogging?
A. About 250 meters per minutes.
B. About 350 meters per minute.
C. About 450 meters per minute.
D. About 500 meters per minute.
Mario is constructing a wall around a rectangular area which will cover a maximum of 60 square feet. The length of the wall will be 10
feet.
Which inequality represents all the possible widths in feet, w, that Mario can use to construct the rectangular
wall?

Answer:
[tex]W \le 6[/tex]
Step-by-step explanation:
Given
[tex]Area = 60ft^2\ (max)[/tex]
[tex]Length = 10ft[/tex]
Required
Represent the width as an inequality
First, we represent the area as an inequality.
[tex]Area = 60ft^2\ (max)[/tex]
max as used above means less than or equal to.
So, we have:
[tex]Area \le 60[/tex]
The area of a rectangle is:
[tex]Area = L * W[/tex]
So, we have:
[tex]L * W \le 60[/tex]
Substitute 10 for L
[tex]10 * W \le 60[/tex]
Divide both sides by 10
[tex]\frac{10 * W}{10} \le \frac{60}{10}[/tex]
[tex]W \le \frac{60}{10}[/tex]
[tex]W \le 6[/tex]
Write the Linear Equation (y=mx+b) from the following table:
Answer:
y=3x+2
Step-by-step explanation:
y2 - y1 / x2 - x1
17-11 / 5-3 = 6/2 = 3
m = 3
17 = 3(5) + b
17 = 15 + b
b = 2
(please correct me if i did this wrong)
In the equation below, what value of bresults in an
equation with infinitely many solutions?
3(bx - 1) = -3 + 12x
Step-by-step explanation:
3bx-3 = -3+12x
3bx=-3+3+12x
3bx=12x
3bx/3=12x/3
bx=4x
bx/x=4x/x
b=4
Solve either of the correct equations using any method. Round to the nearest whole number.
D =
days
Answer:7
Step-by-step explanation:
on edg
Answer:
7 days
Step-by-step explanation:
graph the image of V (3,–7) after a rotation 180° clockwise around the origin.
Answer and Step-by-step explanation:
It is in the screenshot.
The point is (-3, 7), and would be noted as V'.
#teamtrees #WAP (Water And Plant)
Image of the point V is V' = (-3, 7) as shown in the graph below.
What is Coordinate Geometry?One of the most intriguing ideas in mathematics is called coordinate geometry. By using graphs with curves and lines, coordinate geometry (also known as the analytic geometry) explains how geometry and algebra are related. They can answer geometrical problems because it gives them geometrical aspects of algebra. In this area of geometry, a pair of ordered numbers is used to describe the location of points on a plane.
As per the given data:
Coordinates of point V = (3, -7)
Rotation to be given = 180° (clockwise)
For drawing the image of point V (3, -7):
Step 1: Draw a line passing through the origin and V (3, -7) extending through 2nd and 4th quadrant.
Step 2: Change sign of x and y coordinates as rotation is of 180° and mark the point in the 2nd quadrant.
Image of the point V is V' = (-3, 7) as shown in the graph below.
Hence, the image of the point V is V' = (-3, 7).
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10 points !!
Which expression is equivalent to this polynomial x^2+12
Answer:
expand x^2+12 --> results in AFind the value of x *
A) 20
B) 10
C) 15
D) 25
Answer:
B. 10
Step-by-step explanation:
While doing construction O and P are joined then
OQ = OR
<QOR = 80°
<QPR = <QOR /2 ( INSCRIBED ANGLE IS HALF OF THE CENTRAL ANGLE STANDING ON SAME ARC)
<QPR = 80°/2
<QPR = 40°
SO
< QPO = X
<RPO = 30°
<QPO + <RPO = < QPR
X + 30° = 40°
X = 40° - 30°
X = 10°
hope it helps
A family purchased tickets to a museum and spent a total of $45.00. The family purchased 5 tickets. There was $1.50 processing fee for each ticket. What is the cost of one ticket without the processing fee?
I REALLY REALLY NEED HELP ON THIS I DON'T UNDERSTAND IT!!!!!!!!!!!!!!!!!
Answer:
d
Step-by-step explanation:
in order for it to be a triangle the angles have to add up to equal 180
5+75+100=180 so its not a
10+80+90=180 so its not b
20+60+100=180 so its not c
45+45+45=135 so its d because the angles dont add up to 180
50+50+80=180 so its not e
Answer:
D
Step-by-step explanation:
To be a triangle, you have to have 180 degrees. if you add up all of the sides, it should give you 180. If it doesn't, it isn't a triangle. I hope that helped! :)
Plz consider giving me brainliest answer as I am trying to reach a new level, thanks!
I don't know how to give brainliest tho.
solve the following equation
What is the measure of ∠XYZ? show your work
Answer:
i don't know..........,......
find the missing side length of similar polygons
Answer:
23
Step-by-step explanation:
Graph the line with the given slope that passes through the given point
Slope=2;(-1,4)
Answer:
BStep-by-step explanation:
Point (-1, 4) it's point where x-coordinate is -1 and y-coordinate is 4
Graph in B is the only one passing through (-1, 4)
The equation of the line is y = 2x + 6. The graph is represented by B.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the slope of the line is 2 and the point through which it is passing is (-1,4).
The equation of the line will be calculated as,
y = mx + c
y = 2x + c
4 = -2 + c
c = 6
The equation will be written as,
y =2x + 6
The graph of the line is attached with the answer below.
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how many real sixth roots does 1 have
Answer:
Im pretty sure it's 2, but Im not sure
Step-by-step explanation:
Leroy borrowed $1500 at an annual simple interest rate of 12%. He paid $270 in interest. For what time period did Leroy borrow the money? Remember, your answer will be in years!
Step-by-step explanation:
well..this is the answer..using..time formula
2. A nutritionist wants to collect data on how much caffeine the average American drinks per day. She has the following ideas for how she could obtain a sample:
a. Ask the first 20 adults who arrive at a grocery store after 10:00 a.m. about the average amount of caffeine they consume each day.
b. Every 30 minutes, ask the first adult who comes into a coffee shop about the average amount of caffeine they consume each day.
Answer:
B
Step-by-step explanation:
If you start to ask after 10:00 am, a lot of people isn't drinking caffeine. And, were trying to figure out the average.
The radius of a circle is 2 millimeters. What is the circle's area?
r=2 mm
Use 3.14 for .
sanare millin
Answer:
12.56 mm²
Step-by-step explanation:
[tex]A=\pi r^{2}[/tex]
Plug the given values into the area equation
[tex]A=3.14*2^{2}\\A=3.14*4\\A=12.56[/tex]
Therefore, the area of the circle is 12.56 mm².
I hope this helps!
Which is the graph of y= -x-3?
Answer:
Graph a
Step-by-step explanation:
Answer:
the answer is A
Step-by-step explanation:
to start, I would use the slope intercept, in this case -3 which lets you know the slope meets the y axis at (0,-3) since you have that point, you count with the slope.
now slope is rise over run, therefore, it would be y over x and since the y in this case is 3, you'd go up three from your point. since x is 4, you'd go right four units from where you are. since A is the only graph that follows that, A would be correct.
True or False: Exponential growth and exponential decay graphs are always
functions
Answer:
true
Step-by-step explanation:
Answer: The answer is TRUE
A wedding dress was marked up 35% and is now selling for $270.00. What was the original price of the dress?
Answer:
365.50 dollars
Step-by-step explanation:
multiply 270 by 35% then add that to 270
what is the equation of the vertical line through (2, 3) hurry! 40 points
Step-by-step explanation: The equation of a vertical line can always be written as x = the x-coordinate of the given point.
So in this case, our equation is x = 2.
There are places in the world where the forests have been destroyed and trees no longer grow. What needs to take place for a forest to be a renewable resource?
what is the answer?
Reforestation must take place if forests have been destroyed.
Afforestation is creating new forest where non had existed before.
Answer:
Reforestation must take place if forests have been destroyed.Afforestation is creating new forest where non had existed before.
Step-by-step explanation: