Mathematics College

In triangle RST, mZR> m_S+ m2T. Which must be true of triangle RST? Check all that apply.
O mzR > 90°
OmZS + m2T < 90°
Om S = m_T
mZR>m_T
mZR > m_S
mzS>m_T

In Triangle RST, MZR&gt; M_S+ M2T. Which Must Be True Of Triangle RST? Check All That Apply.O MzR &gt;

Answers

Answer 1

Answer:

m∠R > 90°

m∠S + m∠T < 90°

m∠R > m∠T

m∠R > m∠S

Step-by-step explanation:

Here, RST is a triangle

Therefore, m∠R+m∠S+m∠T = 180° ⇒ m∠S+m∠T = 180° - m∠R

Given: m∠R > m∠S + m∠T

⇒ - m∠R < - (m∠S + m∠T) (by multiplying -1 on both sides)

⇒ 180° - m∠R < 180° - (m∠S + m∠T) (by adding 180° on both sides)

⇒ m∠S+m∠T < 180° - (m∠S + m∠T)

⇒ m∠S+m∠T+m∠S+m∠T < 180° (by adding m∠S + m∠T on both sides)

⇒ 2(m∠S+m∠T) < 180°

⇒ m∠S+m∠T < 90°

⇒ m∠R > 90° ( because m∠R+m∠S+m∠T=180° )

Again, m∠R > m∠S + m∠T

⇒ m∠R > m∠S and m∠R > m∠T

Thus, Option first, second, fourth and fifth are correct.

Related Questions

GIVING OUT BRAINLIEST HELP ME OUT PLEASEE!!!

Answers

Answer:

20.9

Step-by-step explanation:

Circumference = 10 * 2 * pi = 62,831853

lenght of the arc

62,831853 : 360 = x : 120

x = (62,831853 * 120)/360 = 20.9

20.9 with pie and cercamfrense

The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has an approximate normal distribution with mean 50 and a standard deviation 10. Use the Empirical Rule to determine the approximate proportion of 1-mile long roadways with potholes numbering between 20 and 70.

Answers

Answer:

The approximate proportion of 1-mile long roadways with potholes numbering between 20 and 70 is 0.9735.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 50, standard deviation = 10.

Between 20 and 70.

The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.

20

20 = 50 - 3*10

So 20 is 3 standard deviations below the mean. Of the 50% of the measures below the mean, 99.7% are within 3 standard deviations of the mean, that is, above 20.

70

70 = 50 + 2*10

So 70 is 2 standard deviations above the mean. Of the 50% of the measures above the mean, 95% are within 2 standard deviations of the mean, that is, below 70.

Percentage:

0.997*50% + 0.95*50% = 97.35%

As a proportion, 97.35%/100 = 0.9735.

The approximate proportion of 1-mile long roadways with potholes numbering between 20 and 70 is 0.9735.

Which expression is equivalent to (2g^5)^3/(4h^2)^3

Answers

Answer:

g^15/8h^6 is the simplified version of the equation which also equals the same thing :)

Answer:

The answer is A

Step-by-step explanation:

The length of a rectangle is 6 more than the width. The area is 55 square inches. Find the dimension

Answers

Answer:

w = 5 inches

l = 11 inches

Step-by-step explanation:

A bag contains 6 blue coins and 7 red coins. A coin is removed at random and replaced by three of the other color.


Part 1 out of 3
What is the probability that the removed coin is blue? Enter your answer as a simplified fraction.

The probability that the removed coin is blue is ———

Answers

1/4 or maybe even 100grams of blow

In the accompanying figure, the measure of minor arc AB is 100. Find the measure of inscribed angle ACB.
Show the work please !

Answers

9514 1404 393

Answer:

  50°

Step-by-step explanation:

The measure of an inscribed angle is half the measure of the arc it intercepts.

  ∠ACB = 1/2 arc AB = (100°)/2

 ∠ACB = 50°

The functions f(x) and g(x) are shown on the graph.
f(x) = 11
What is g(x)?
10
у
g(x) = ?
f(x) = [X]
10
-5
10
-5
-10
A. g(x) = 1 1 - 3
B. g(x) = (x+31
C. g(x) = \x{ + 3
D. g(x) = 1x - 31

Answers

D g(x)=1x -31
Explanation: got it right

The function g(x) is g(x) = Ix + 3I.

The correct option is B.

What is transformation on the graphs?

The function provided by the basic function f(x) and the constant

g(x) = f(x - k),

horizontally moving the f(x) k unit coordinates may be drawn.

The shift's direction depends on the value of k. Specifically,

The base graph moves k units to the right if k > 0, and

The base graph moves k units to the left if k < 0.

Given that the parent function is f(x) = IxI.

From the definition,

the transformed function is moved horizontally to 3 units to the right.

So, the function is g(x) = Ix + 3I.

Therefore, g(x) = Ix + 3I.

To learn more about the transformation on the graphs;

https://brainly.com/question/19040905

#SPJ7

How can you compare properties of two functions each represented in a different way?

Answers

Step-by-step explanation:

there are three ways to compare functions that is Madhavi Kali numerically and graphically latest compared to function numerical letters considered an example of y equals to 3 X + 5 in this example why is a dependent of ex so in other words if we keep on sending the value of x then why will increase as well

7. Identify the appropriate mixed number for the picture shown.
A. 172
B. 214
C.212
D.3
Mark for review (Will be highlighted on the review page)

Answers

Answer:

it's 2 1/2

Step-by-step explanation:

Because 2 box are shade in and the last box is half shade

How many centimeters are equal to 7 meters? Enter your answer in the box.

Answers

Answer:

56 but i could be wrong

Step-by-step explanation:

Please help me I beg you, I don’t understand and no one wants to help

Answers

Answers:

x = 51

y = 39

===========================================================

Explanation:

The angles 39 and x form a right angle, aka 90 degree angle. This is shown by the small square angle marker.

One equation to solve is x+39 = 90. Doing so leads to x = 51 after subtracting 39 from both sides.

Similarly, another equation to solve is x+y = 90. Plug in x = 51 and isolate y

x+y = 90

51+y = 90

y = 90-51

y = 39

Find the area of the regular polygon. Round to the nearest tenth

Answers

46.6 ??? I’m not sure tho

Evaluate the function graphically. Find (-6)

Answers

Answer:

5

Step-by-step explanation:

just see where x=-6

Can you help me plisss:(

Answers

Step-by-step explanation:

x = (7±√193)/18

The triangle below is equilateral. Find the length of side x in simplest radical
form with a rational denominator.
5

Answers

Answer:

x = 10

Step-by-step explanation:

In an equilateral triangle, the altitude, or height is also the median and angle bisector. So, we can say a side of the equilateral triangle is 2 x 5 or 10. Every side of an equilateral triangle is congruent, so x is 10.

Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$300and $350

Answers

Answer:

2.35

Step-by-step explanation:

Find the greatest common factor of 56, 42, and 98.
Question 13 options:

A)

7

B)

36

C)

14

D)

24

Answers

Answer:

C, 14

Step-by-step explanation:

The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42

The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56

The factors of 98 are: 1, 2, 7, 14, 49, 98

Then the greatest common factor is 14. (The greatest factor that they all have in common.)

Please vote brainliest, thanks!

What is the missing number?
3
8
-2
7
4
5
1
10 12 3
The missing number is...

Answers

Answer:

9

Step-by-step explanation:

10-7=3

12-4=8

3-5=-2

9-1=8

Hope this helped :)

which statement corresponds to the conjunction x > -5 and x < 14

Answers

Answer:

-5 < x < 14

Step-by-step explanation:

-5 < x < 14

-5 < x < 14

hope it is helpful to you ☺️

Is this a function?

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

For the graph to represent a function, no vertical line may intersect it in more than one place. This graph does not pass the "vertical line test" so does not represent a function.

25/22 as a decimal rounded to the nearest hundredths

Answers

Answer:

Hi there!

Step-by-step explanation:

First thing we have to do is make 25/22 a proper fraction. That is 1 3/22. This converted to a decimal is 1.1(36) or, rounded to the nearest hundredth, that is 1.1 :)

Hope you enjoy!

Simplify the expression:
4g+1+10g+8g

Answers

Answer:

22g+1

Step-by-step explanation:

collect like terms

22g+1

Answer:22g+1

Step-by-step explanation:

Chase is 7 years older than Zoe. In 4 years the sum of their ages will be 41. How old is chase now?

Answers

Answer:

Chase would be 24 years old

what is the sum of all the negative integers that are greater than -5?

Answers

Answer:

-10

Step-by-step explanation:

The negative integers greater than -5 are: -4, -3, -2, and -1. So,

(-4)+(-3)+(-2)+(-1) = -10

shudjendndnndndjfjjjjfndjdndnjdjdjdj

Answers

Answer:

the answer is 31°...........

Use trigonometric ratios to solve each right triangle. Be sure to rationalize the denominators when you write your answers.

Answers

Answer:

[tex]sin(45)=\frac{AC}{AB} =\frac{AC}{12} \\AC=12\times sin(45)=12\times \frac{\sqrt{2}}{2}=6\sqrt{2}\\ cos(45)=\frac{CB}{AB} =\frac{CB}{12} \\CB=12\times cos(45)=12\times \frac{\sqrt{2}}{2}=6\sqrt{2}[/tex]

Step-by-step explanation:

[tex]sin(45)=\frac{AC}{AB} =\frac{AC}{12} \\AC=12\times sin(45)=12\times \frac{\sqrt{2}}{2}=6\sqrt{2}\\ cos(45)=\frac{CB}{AB} =\frac{CB}{12} \\CB=12\times cos(45)=12\times \frac{\sqrt{2}}{2}=6\sqrt{2}[/tex]

In Rosewood City, the library is 6.5 miles fue south of the courthouse and 3.4 miles due west of the community swimming pool. What is the distance between the courthouse amd the community swimming pool?

If necessary, round your answer to the nearest tenth.

Answers

Answer:

7.3 miles

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

3.4^2 + 6.5^2 = h^2

11.56+42.25=h^2

53.81= h^2

Taking the square root of each side

sqrt(53.81) = sqrt(h^2)

7.335529974=h

Rounding to the nearest tenth

7.3 =h

What’s the answer to this answer fast please

Answers

Answer:

Hello! answer: 25

Step-by-step explanation:

24 × 24 = 576

7 × 7 = 49

576 + 49 = 625

√625 = 25

25 × 25 = 625 therefore. the hypotenuse is 25 hope that helps!

(x+3)²+(y+1)²=2 jjjjjjjjjjjju

Answers

Answer:

x²+y²+6x+2y = -8

Step-by-step explanation:

The given equation is:

(x+3)²+(y+1)²=2

We know that, (a+b)² = a²+b²+2ab

Using above property

x²+9+6x+y²+1+2y = 2

x²+y²+6x+2y+10 = 2

x²+y²+6x+2y = -8

Hence, this is the required solution.

peter is 13 years old peters father is 6 years more than twice her age. how old is Peter's father​

Answers

Answer:

32 years old.

Step-by-step explanation:

13 times 2 is 26, and 6 added to 26 is 32.

I hope this helps, have a nice day.

Other Questions
You randomly select two poker chips from a bag containing 7 poker chips: 4 red, 1 blue, 1 green, and 1 white. Consider the following events:Event A: You select a green poker chipEvent B: You select a white poker chip.Determine whether the following statement is True or False: Events A and B are statistically independent. balance equation Mg + HN03 -> Mg (N03)2 + N0 + H20 2 moles of sodium chloride are dissolved in 8 liters of water. What is its molarity (M) ? Solve for m.6 + 2 56 - 2 52 5 - 6 The chef at a restaurant bought 37 pounds of salad for $46.25. How much did she pay for 1 pound of salad? Show all work and explain your reasoning I need help with this please Ill mark as brainliest! What information did you include in your response? Multiple Choice A. Crossing over is the process by which genetic material is exchanged by non-sister chromatids during meiosis. B. Crossing over results in a new combination of genetic information for the cell for a specific trait. C. Crossing over ensures that organisms are not identical from generation to generation. D. Genetic recombination allows for a variation in genetic material that is passed through the generations. Directions: Read the following statements carefully then write TRUE if the statement correct and FALSE if it is not Write your answers in your activity notebook. 1. One suggested activity under Plan of Action is narrowing down your health career options. 2.Skills and abilities are examples of components in self assessments 3. in decision-making you will identify necessary steps in realizing health career goals 4. to explore health career, you may conduct interview or read health related articles 5. attending to internship is necessary activity in plan of action6. self-assessment is a step which involves listing down of skills, abilities, strengths, weakness, amomg others. 7. short term and long term health career goals are components under plan of action The point P lies on the unit circle, making an angle of measure theta with the positive x-axis.Use the cosine and sine functions to express the exact coordinates of P in terms of angle theta a region, including a church, that is overseen by a priest solve sin 24 degrees using Phone regularly prices its products at cost plus a 40 percent markup for profit. Smart prices its sales at cost plus a 20 percent markup. The total sales reported by Phone and Smart include both intercompany sales and sales to nonaffiliates. Required: a. What amount of sales will be reported in the consolidated income statement for 20X8 CapitalizationEnglish XI - SkillsChoose the sentence that is capitalized and punctuated correctly.Four years after the Yom Kippur war, Anwar Sadat Spoke at the Israeli Parliament.Four years after the Yom Kippur war, Anwar Sadat spoke at the Israeli parliament.Four years after the Yom Kippur war, Anwar Sadat spoke at the israeli parliament.Four years after the Yom Kippur War, Anwar Sadat spoke at the Israeli Parliament. PLZ ANYOME HELP? Uh sorry for asking a lot- A haloalkane 'X' if heated with sodium metal in presence of dry ether produces2,3 - dimethyl butaneas major productIdentify x with chemical reaction. Find the solutions to the following equation by using the quadratic formula .2x^2+14x+20=216 What is a claim/Topic sentence for Cause and Risk factors for Juvenile delinquency? Here is the graph for one of the equations in a system of two equationsThe second line in the system goes through the point (4, 1). Write the equation for the second line if the solution to the system is (3,0). Explain the steps and reasoning you used to find your equation How many moles are in 9.40 grams Sodium nitrate? Suppose a toothpaste company wants to calculate how many times teens brush their teeth each week.They decide to conduct a survey of a random sample of 1000 teens aged 1318 from across the U.S.What is the population?