Answers
Answer:
23.5
Step-by-step explanation:
m∠Y = (m∠RTS - m∠VTX)/2
m∠Y = ((180 - m∠RTV) - (180 - m∠VTX))/2
m∠Y = ((180 - 95) - (180 - 142))/2
m∠Y = (85 - 38)/2
m∠Y = 47/2
m∠Y = 23.5
Related Questions
Linear equation: -1
2
(6x + 10) = 13
Step 1: –3x – 5 = 13
Step 2: –3x = 18
Step 3: x = –6
Which sequence describes the inverse operations used for steps 2 and 3 to solve the linear equation?
Answers
Answer:
see below
Step-by-step explanation:
-1/2 * (6x + 10) = 13
Distribute -1/2
–3x – 5 = 13
Add 5 to each side
-3x-5+5 = 13+5
–3x = 18
Divide each side by -3
-3x/-3 = 18/-3
x = -6
Is the aspirin produced by the World’s Best Pharmaceutical Company better than that of a competitor at relieving headaches? 200 headache sufferers are chosen at random. Migrained Testing Service administers the experiment and provides the results evaluation. Three levels are made: participants receive contents from Bottle A, Bottle B, or Bottle C. Other than the fact that one bottle contains placebo aspirin, no other information is given to the testing service regarding the bottles’ contents.
Answers
Complete question is;
Determine whether the experiment is blind or double blind.
Is the aspirin produced by the World’s Best Pharmaceutical Company better than that of a competitor at relieving headaches? 200 headache sufferers are chosen at random. Migrained Testing Service administers the experiment and provides the results evaluation. Three levels are made: participants receive contents from Bottle A, Bottle B, or Bottle C. Other than the fact that one bottle contains placebo aspirin, no other information is given to the testing service regarding the bottles’ contents.
a) blind study
b) double blind study
C) Neither
Answer:
Double blind study.
Step-by-step explanation:
We are told that participants receive contents from Bottle A, Bottle B, or Bottle C.
However, the testing service only knows that one bottle contains placebo aspirin but they don't know the other contents nor which of the participants is taking the one with placebo aspirin.
Thus, this is a double blind experiment because neither the participants nor the testing service have knowledge of who is taking the bottle that contains placebo aspirin unlike a blind experiment where the testing service will know which participants got the bottle containing aspirin.
Find the value of x. Round the answer to the nearest tenth, if needed.
A. 1.8
B. 6
C. 8
D. 20.3
What’s the value of X?
Answers
Sue read 12 more than twice as many pages is tom did last week if sue read 90 pages how many did tom read
Answers
Answer: 39 pages
Step-by-step explanation:
x = the amount of pages Tom read
[tex]2x+12=90\\2x=78\\\frac{2x}{2}=\frac{78}{2}\\x=39[/tex]
If Sue read 90 pages, which is 12 more than twice the amount, subtract 12 from 90, then divide the result by 2, boom, you got your answer. Which should be 39
Edwin hiked to a famous point with a beautiful view. It took 2 hours and 55 minutes to hike to the viewpoint and 25 minutes to hike back. Edwin spent 25 minutes enjoying the view at the top. He finished the hike at 11:45 A.M. What time did Edwin start the hike to the viewpoint?
Answers
Answer:
= 8:00 A.M.
Step-by-step explanation:
▪You first find the total time taken which will be :
2 hrs 55 min + 25 min
= 3 hrs 20 min + 25 min
= 3 hrs 45min
▪ Beginning time = Arrival time - Time taken
= 11:45 - 3:45
= 8:00 am
¿
Estimate the answer to 7.1 × 0.0058.
Answers
Answer:
7.1 = 7
5.8 = 6
7x6 = 42
three decimal shift
.042
Step-by-step explanation:
ME AYUDAN PORAVOR 1. Relaciona cada ecuación con su solución.
(Se deben presentar las operaciones correspondientes al finalizar este punto)
a. 5 + x = -5 ( ) 27
b. -17 + x = 0 ( ) – 5
c. 30 + x = 0 ( ) 30
d. x + (-27) = 0 ( )17
e. x + (-30) = 0 ( ) – 30.
Answers
Answer:
a. 5 + x = -5 (Subtraction) 0.
b. -17 + x = 0 (Addition) 17.
c. 30 + x = 0 (Subtraction) -30.
d. x + (-27) = 0 (Addition) 27.
e. x + (-30) = 0 (Addition) 30.
Step-by-step explanation:
In this exercise, students are required to match each equation with its solution. (The corresponding operations must be presented at the end of this point
a. 5 + x = -5 (Subtraction) 0.
x = -5 - 5
x = 0
b. -17 + x = 0 (Addition) 17.
x = 0 + 17
x = 17
c. 30 + x = 0 (Subtraction) -30.
x = 0 - 30
x = -30
d. x + (-27) = 0 (Addition) 27.
x - 27 = 0
x = 0 + 27
x = 27
e. x + (-30) = 0 (Addition) 30.
x - 30 = 0
x = 0 + 30
x = 30
Can someone help me pls
Answers
Answer:
Step-by-step explanation:
Look at the photo
The distance travelled varies directly with time. Anthony ran 49.6 metres in 8
seconds. Write an equation for this relationship. Use let statements to define your
variables & write a conclusion statement to state your answer.
Answers
Answer:
D = kT
Step-by-step explanation:
Let the distance travelled be D.Let the time taken be T.Given the following data;
Distance, D = 49.6 meters.Time, T = 8 seconds.To write an equation for this relationship;
D = kT
Where;
k is the constant of proportionality.In conclusion, the distance travelled by Anthony is directly proportional to the time taken to travel that distance i.e an increase in the distance would cause an increase in the time taken to travel that distance and vice-versa.
If m angle GEF is thirteen less than five times m angle DEG and m angle DEF = 149º, find m angle GEF.
Answers
def=149
gef=5x-13
deg=x
5x-13+x=149
6x=162
x=27
plug the x back in
5(27)-13=122
The value of <GEF is 122
what is 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. Let us read about the different parts of an angle.
Parts of an Angle
There are two main parts related to an angle - the arms and the vertex.
Arms of the Angle
The two rays which join at a common point to form the angle are called the arms of the angle. Observe the figure given below which shows that OA and OB are the arms of the angle AOB.
<DEF=149
let <DEG be x
So,<GEF = 5x-13
Now
5x-13+x=149
6x=162
x=27
Hence, <GEF = 5(27)-13= 122
Learn more about angle here:
https://brainly.com/question/13954458
#SPJ2
Resuelve el siguiente problema un buzo en una laguna decendio 8m en una hora.Si cada hora bojo la misma cantidad de metros, ¿cuantos metros bojo en 4 horas
Answers
Answer:
X = 32 meters.
Step-by-step explanation:
Let the unknown distance be X.Given the following data;
Distance = 8 meters per hourTime = 4 hoursTo find how many meters he would cover in four hours;
1 hour = 8 meters
4 hours = X meters
Cross-multiplying, we have;
X = 8 * 4
X = 32 meters.
What is the value of c in the interval (5,8) guaranteed by Rolle's Theorem for the function g(x)=−7x3+91x2−280x−9? Note that g(5)=g(8)=−9. (Do not include "c=" in your answer.)
Answers
Answer:
[tex]\displaystyle c = \frac{20}{3}[/tex]
Step-by-step explanation:
According to Rolle's Theorem, if f(a) = f(b) in an interval [a, b], then there must exist at least one c within (a, b) such that f'(c) = 0.
We are given that g(5) = g(8) = -9. Then according to Rolle's Theorem, there must be a c in (5, 8) such that g'(c) = 0.
So, differentiate the function. We can take the derivative of both sides with respect to x:
[tex]\displaystyle g'(x) = \frac{d}{dx}\left[ -7x^3 +91x^2 -280x - 9\right][/tex]
Differentiate:
[tex]g'(x) = -21x^2+182x-280[/tex]
Let g'(x) = 0:
[tex]0 = -21x^2+182x-280[/tex]
Solve for x. First, divide everything by negative seven:
[tex]0=3x^2-26x+40[/tex]
Factor:
[tex]0=(x-2)(3x-20)[/tex]Zero Product Property:
[tex]x-2=0 \text{ or } 3x-20=0[/tex]
Solve for each case. Hence:
[tex]\displaystyle x=2 \text{ or } x = \frac{20}{3}[/tex]
Since the first solution is not within our interval, we can ignore it.
Therefore:
[tex]\displaystyle c = \frac{20}{3}[/tex]
Which of the following is the correct factorization of the polynomial below?
x3 + 10x2 + 25x
A. x(x + 5)(x - 5)
B. (x2 + 2x - 5)(x-10)
C. (x2 + 5x - 2)(x-10)
D. x(x + 5)2
Answers
Answer:
x(x+5)^2
Step-by-step explanation:
x^3 + 10x^2 + 25x
Factor out x
x(x^2+10x+25)
What 2 numbers multiply to 25 and add to 10
5*5 = 25
5+5 =10
x(x+5)(x+5)
x(x+5)^2
Answer:
D
Step-by-step explanation:
Given
x³ + 10x² + 25x ← factor out x from each term
= x(x² + 10x + 25) ← perfect square
= x(x + 5)²
Find the measure of x
Answers
Answer:
x = 130 degrees
Step-by-step explanation:
ok so first find all the interior angles of the triangle before using the supplementary angle rule to find x.
the interior angle A = 20 degrees, so the interior angle B must be 50 degrees (since there can only be 180 degrees in a triangle). So, since B is 50 degrees and x is 180-50, we know that x = 130 degrees
The mean of a normally distributed set of data is 53 with a standard deviation of
6. Approximately 95% of all cases are expected to be between...
Answers
Answer:
2 standard deviations of the mean. so, 41 to 65
Step-by-step explanation:
from the empirical rule we know that for 95% we are in 2 standard deviations of the mean. so:
53- 6- 6 = 41
*2 minus 6s because 2 standard dev. with the mean
53 + 6 + 6 = 65
An airport runway measuring 450 m is drawn to a scale of 1 cm represent 100 m find its length in the drawing
Answers
Answer: 4.5cm
Step-by-step explanation:
From the information given in the question, we are informed that an airport runway measuring 450 m is drawn to a scale of 1 cm represent 100m, then the length in the drawing will be calculated thus:
Let the length be represented by x. Therefore, we'll have:
1/x = 100/450
Cross multiply
(100 × x) = (1 × 450)
100x = 450
x = 450/100
x = 4.5
Therefore, the length in the drawing is 4.5cm
A 12-foot ladder is leaning against the side of a building. The bottom of the ladder is 5 feet from the wall. How many feet above the ground does the ladder touch the wall?
A. 119−−−√ feet
A. square root of 119 feet,
B. 7 feet
B. 7 feet
C. 13 feet
C. 13 feet
D. 134−−−√ feet
Answers
Answer:
Option A, √119
Step-by-step explanation:
Let the height be x foot
12^2=5^2+x^2
or, x = ±√119
since distance can't be negative, so it's x = √119
Answered by GAUTHMATH
A chef got 7 bags of onions. The red onions came in bags of 8 and the yellow onions came in bags of 3. If the chef got a total of 41 onions, how many bags of each type of onion did he get?
Answers
Answer:
[tex]\#\text{ of 8-onion bags: }4,\\\#\text{ of 3-onion bags: }3[/tex]
Step-by-step explanation:
Let [tex]a[/tex] be the number of bags with 8 onions and let [tex]b[/tex] be the number of bags with 3 onions. We have the following system of equations:
[tex]\begin{cases}a+b=7,\\8a+3b=41\end{cases}[/tex]
Subtracting [tex]b[/tex] from both sides of the first equation, we get [tex]a=7-b[/tex]. Substitute this into the second equation:
[tex]8(7-b)+3b=41,\\56-8b+3b=41,\\56-5b=41,\\-5b=-15,\\b=\boxed{3}[/tex]
Therefore, the number of 8-onion bags is:
[tex]a=7-b,\\a=7-3,\\a=\boxed{4}[/tex]
Thus, the chef got 4 8-onion bags and 3 3-onion bags.
Please help me answer my question. I really need help with understanding this.
If [tex]sinx=\frac{3a}{2}[/tex] and 0 is less than x is less than [tex]\frac{\pi }{2}[/tex], express [tex]\frac{x}{4}-sin2x[/tex] as a function of a.
Answers
If sin(x) = 3a/2 and 0 ≤ x ≤ π/2, then x = arcsin(3a/2). The condition on x here is useful because it makes the sin and arcsin functions exacts inverses of one another: if y = sin(x), then arcsin(y) = x.
Recall the double angle identity for sine:
sin(2x) = 2 sin(x) cos(x)
Also because 0 ≤ x ≤ π/2, we know both sin(x) > 0 and cos(x) > 0. So from the Pythagorean identity, it follows that
sin²(x) + cos²(x) = 1
==> cos(x) = √(1 - sin²(x)) = √(1 - 9a ²/4) = 1/2 √(4 - 9a ²)
Then we have
x/4 - sin(2x) = x/4 - 2 sin(x) cos(x)
… = 1/4 arcsin(3a/2) - 2 (3a/2) (1/2 √(4 - 9a ²))
… = 1/4 arcsin(3a/2) - 3a/2 √(4 - 9a ²)
Find the measure of the indicated angle.
Answers
Answer:
∠? = 76°
Step-by-step explanation:
The two lines on the sides of the triangle indicate that this is an isosceles triangle. An isosceles triangle has 2 congruent sides and one side that is different. The same goes for its angles. The angle opposite to these same sides are also the same. So if one angle = 76°, then ∠? = 76° as well.
Hope this helps! Best of luck <3
Use the graph to find the factorization of x2 - 5x + 4.
10
y = x2.5x + 4
-10
10
10
O A. (x + 2)(x - 2)
B. (x - 1)(x-4)
O C. (x + 2)(x+4)
O D. (x + 1)(x + 4)
Answers
Answer: B. (x - 1) (x - 4)
Concept:
Here, we need to know the idea of zeros.
The zeros of a quadratic equation are the points where the graph of the quadratic equation crosses the x-axis.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
By definition, the factored form of quadratic equations is basically their zeros.
STEP ONE: Find the zeros / x-intercept of the graph
The grid number is 2 per grid as 5 grids are 10 units.
The first intercept is between the y-axis and the first grid.
2 / 2 = 1The second intercept is on the second grid.
2 × 2 = 4STEP TWO: Plug the zeros into factorization form
Factor form = (x - x₁) (x - x₂)
x₁ = (1, 0)
x₂ = (4, 0)
Factorization of x² - 5x + 4 = (x - 1) (x - 4)
Hope this helps!! :)
Please let me know if you have any questions
HELP ME PLEASEEEEE!!!!!!!
Answers
Answer:
sas
Step-by-step explanation:
dide angle side is correct
On a pie chart, a category representing 20% of the whole should correspond to a central angle of 20°.
Answers
Answer:
No! 20% does not correspond to a central angle 20°.
Step-by-step explanation:
The central angle for pie chart is 360°.
So, a category represents 20% is 20%(360) for central angle.
Let's simplify it to get the angle,
[tex]\frac{20}{100} * 360[/tex]
Simplify it,
72°
So, 20% does not correspond to a central angle 20°.
The side length of a regular hexagon is 11 cm.
a) Write an equation you can solve to find the perimeter of the hexagon.
b) Solve the equation.
NO LINKS ARE ALLOWED!
Answers
Answer:
A)let x be the length of one side , 6 × x= peri.
B)6 × 11 = 66
A pebble falls off a cliff at a height of
1,296ft . If the equation for height as a
function of time is
h(t) = -16t2 + initial height where t is time
in seconds and h(t) is height in feet, how
many seconds will it take for the pebble
to hit the ground?
[?] seconds
Enter
Answers
Answer:
Step-by-step explanation:
The equation for this free fall problem is
[tex]h(t)=-16t^2+1296[/tex] where h(t) is the height of the pebble from the ground at any time t. If we are looking for the time it takes the pebble to hit the ground, knowing that at ground level the height is 0, we set the quadratic equal to 0 and solve for t:
[tex]-16t^2+1296=0[/tex] and
[tex]-16t^2=-1296[/tex] and
[tex]t^2=81[/tex] so
t = -8, 8
Since time will never be negative,
t = 8 seconds
what is 9 x 8 + 6 - 98 +67?
Answers
Answer:
47
Your answer is this.
Hope it will help you
express as a trinomial (3x-10)(3x-1)
Answers
Answer:
3x (3x-1)-10 (3x-1)
9x2-3x-30x+10 (the 2 in 9x2 is the square ok)
9x2-33x+10 Ans..
I hope this will help you
If this is incorrect forgive meplz
nolan uses 7 inches of string to make each bracelet. if nolan makes 3 bracelets, how many inches of string will he use?
Answers
Answer:
21 inches
Step-by-step explanation:
We can write a ratio to solve
7 inches x inches
------------- = -------------------
1 bracelet 3 bracelets
Using cross products
7*3 = 1x
21 = x
21 inches
Answer:
21 inches
Step-by-step
This can be solved two ways: addition or multiplication.
Addition: Since there are three bracelets you could add 7 three times
7+7+7
= 14+7
= 21
Multiplication: Simply multiply 7 x 3= 21
Oranges cost 15p each. Raj has a £1 coin.
What is the greatest number of oranges Raj can buy with £1? I already know the answer; I just need confirmation.
Answers
The following are the dimensions of a triangle, 6 cm, 8 cm, and 12 cm.
Is this a right triangle?? Use the Pythagorean theorem and the basic law of exponents to prove whether this is a RIGHT triangle.
Show your work and POST your answer.
Answers
Answer:
Perimeter of original triangle: 6+8+10=24 cm
Perimeter of new triangle: 3+4+5=12 cm (You get 3, 4, and 5 from dividing 6, 8. and 10 by 2.)
Ratio of original to new is 24 to 12, simplified to 2 to 1.
The ratio of the perimeter is the ratio of the corresponding sides, as the original measurements are two times the length of the new measurements.
Area of original triangle: (6x8)/2=24 cm^2
Area of new triangle: (3x4)/2=6 cm^2
Ratio of original to new is 24 to 6, simplified to 4 to 1.
