In triangle RST, m∠T is 5° more than m∠R, and m∠S is 10° less than m∠T. What is the measure of each angle?

Answers

Answer 1

Answer:

R=60

S=55

T=65

Step-by-step explanation:

Answer 2

[tex]\boldsymbol{m\angle R, m\angle S, m\angle T}[/tex] are equal to [tex]\boldsymbol{60^{\circ},55^{\circ},65^{\circ}}[/tex] respectively.

According to angle sum property of a triangle, sum of all angles of a triangle is equal to [tex]\boldsymbol{180^{\circ}}[/tex]

Let [tex]m\angle R=x[/tex]

As [tex]m\angle T[/tex] is [tex]5^{\circ}[/tex] more than [tex]m\angle R[/tex],

[tex]m\angle T=5^{\circ}+m\angle R[/tex]

[tex]\boldsymbol{m\angle R=m\angle T-5^{\circ}}[/tex]

Also,

[tex]m\angle S[/tex] is [tex]10^{\circ}[/tex] less than [tex]m\angle T[/tex],

[tex]\boldsymbol{m\angle S=m\angle T-10^{\circ}}[/tex]

So,

            [tex]\boldsymbol{m\angle R+m\angle S+m\angle T=180^{\circ}}[/tex]

[tex]m\angle T-5^{\circ}+m\angle T-10^{\circ}+m\angle T=180^{\circ}[/tex]

                       [tex]3m\angle T-5^{\circ}-10^{\circ}=180^{\circ}[/tex]

                                           [tex]m\angle T=\frac{195^{\circ}}{3}[/tex]

                                                    [tex]\boldsymbol{=65^{\circ}}[/tex]

[tex]m\angle R=65^{\circ}-5^{\circ}[/tex]

         [tex]\boldsymbol{=60^{\circ}}[/tex]

[tex]m\angle S=65^{\circ}-10^{\circ}[/tex]

        [tex]\boldsymbol{=55^{\circ}}[/tex]

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Related Questions

You work in a hospital, and instructions for an instrument state that it should be cleaned in the
sterilizer for two hours. The sterilizer requires cleaning time be entered in minutes. How many
minutes do you set for the sterilizer?
A. 90
B. 120
C. 180
D. 240
E. 500

Answers

Answer:

B

Step-by-step explanation:

120/60=2

2 hours

The time required in minutes to set the sterilizer is 120. The correct option is B.

What is an expression?

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that you work in a hospital, instructions for an instrument state that it should be cleaned in the sterilizer for two hours.

The time in minutes will be calculated as:-

Time = 2 hours

Time = 2 x 60 minutes

Time = 120 minutes

Therefore, the time required in minutes to set the sterilizer is 120. The correct option is B.

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Need help ()()()()()((;(;

Answers

Answer:

20%

Step-by-step explanation:

4/20 = x/100

100*4 =400

400/20 = 20

so

4/20 = 20/100

20% for sure because make it equal 100 then make 4•5 and you get 20

There are 3 times as many books in the town library as there are on the school library. The town library has 2,676 books. How many books are in the school library?

Answers

Answer:

892 Books.

Step-by-step explanation:

It says there are three times as many books in the town library than the school, which means you would have to divide the amount of books in the town library by three.

Jamel has a cell phone that has unlimited minutes and texts for $45 a month, but he has to pay $5 for each gigabyte of data he uses. If he does not want to spend more than $65 for his cell phone each month, how many gigabytes can he use?

Answers

Answer:

I think it's 4 gigabytes

Step-by-step explanation:

He only wants to pay 65$ and he already spends 45$ on his phone already. So you only have 20 dollars until his grand totaly of 65$ so 5x4= 20 so he can only use 4 gigabytes. Does that make sense? Hope I helped eheh

You have 41 marbles in a bag. Inside the bag are 15 red marbles, 10 blue marbles, and
the rest are white. If you reach into the bag and randomly select a marble, then what is
the probability the selected marble will be red?

Answers

Answer:

15/41

There are 41 marbles and 15 of them are red so you have a 15/41 chance to pick out a red as that is how many of them there are as compared to the total

Write an equation for the line that goes through point (-1,4) and is parallel to the
line y = 2x - 9

Answers

Answer:

y = 2x + 6

slope = 2

y intercept = 6

help help help\help help help\help help help\help help help\help help help\help help help\help help help\

Answers

Answer:

D

Step-by-step explanation:

Subtract 60 from 80 to get 20, and divide 20 by 80 to get 1/4, which can be converted to 25%.

Answer:

i think its D but im not exactly sure

Help fast Fast Fast Fast

Answers

Answer:

0,5

Step-by-step explanation:

Missing number 5 or it can be a 0

This is beacause a number that ends with 0 or 5 is divisible by 5. Divisibilitiy rules state that!

Ex: 5 x 5 = 25

5 x 4 = 20

According to the steps in problem 4, what is the fraction equivalent of 0.5? 9/5 4/9 5/9 5/13

Answers

Answer:

C. 5/9

Step-by-step explanation:

10x = 5.5

  -x = 0.5

9x = 5

x = 5/9

therefore, the answer is C. 5/9

George, a musician, works 35 hours in a week. If he earns $18.15 per hour, how much does he earn each week?

Answers

Answer:

$635.25

Step-by-step explanation:

He works 35 hours a week, multiply that by $18.15 and you get $635.25.

what does zero stand for​

Answers

Zero stands for 0, or the middle of the graph
On a number line zero is in between negative and positive and is the lowest whole number you can make before you go to the negative side

In Jeopardy, if you answer a question
incorrectly. you lose points. If Owen's score
is 200 points, then he answers a 350-point
question incorrectly, find his score.
Need this ASAP

Answers

-150 points cause 200-350= -150

Answer:

-150 points cause 200-350= -150

Step-by-step explanation:

Can i have brainliest i've never got one before

1)What Is Cos(150) ,sin(150), tan(150)

Answers

Answer:

cos(150)=−√32 sin(150)=12. Explanation: First of all, observe that 150=180−30 . Then, remember that we have. cos(180−x)=−cos(x)

Step-by-step explanation:

find the midpoint of the line segment with the given endpoints (9, -8) (-10, -2)

Answers

Answer:

mid point=(-1/2,-5)

Step-by-step explanation:

HEY CAN ANYONE PLEASE HELP ME:))!!!

Answers

there could be a calculator online to solve it

68 over 100 is what %

Answers

Answer: it should be 68%


Question 7
Which radical expression consists of two perfect squares?
A
V16
B
V25
С
125
D
V21

Answers

Answer:

A. √16

Step-by-step explanation:

A perfect square is any number that can be expressed as a product of an integer and itself. i.e. 4 can be represented as 2 × 2. Therefore, 4 is a perfect square.

From the options given, the only radical expression that has two perfect square is √16.

√16 consists of two perfect squares, which are 4 and 4.

4 can be expressed as 2 × 2.

Thus: √16 = √(2 × 2)(2 × 2).

Therefore, √16 consists of two perfect squares.

For which equations is 8 a solution. select 4 answers

X+6=2

X+2=10

X-4=4

X-2=10

2x=4

3x=24

X/2=16

X/8=1

Please hurry im timed

Answers

Answer:

X/8=1

X-4=4

×+2=10

Step-by-step explanation:

hope this helps :)


Do not really understand this question anybody help ?

Answers

I think the answer is B

A company that makes​ hair-care products had 6,000 people try a new shampoo. Of the 6,000 ​people, 24 had a mild allergic reaction. What percent of the people had a mild allergic​ reaction?

Answers

Answer:

0.4% people

Step-by-step explanation:

Convert fraction (ratio) 24 / 6,000 Answer: 0.4%

Answer:

0.4%

Step-by-step explanation:

What is the slope and equation of a line perpendicular to the y-axis passing through point (–5, –3)?

Answers

Answer:

Slope: m = 0

Equation: y = -3

Step-by-step explanation:

A line perpendicular to the y-axis always has a slope of 0. Slope is calculated by (y2-y1)/(x2-x1) or rise/run or delta y/delta x (they're all the same thing, delta means difference and is notated with a triangle). When there is no change in y (perpendicular to the y-axis), no matter what the change in x is, the slope will be 0.

Since it is given that one of the points has a y-value of -3, the equation for this line would be y = -3. The formula for a linear equation is y=mx+b. Since the slope is 0, the value of mx is 0, and therefore not needed in the equation. b represents the y-intercept and in this case would be -3.

Solve for y
3(7y + 4) = 15y + 6y +4+8

Answers

Answer: the are no values of y that make it true

Step-by-step explanation: no solution

Answer:

-4/7

Step-by-step explanation:

Which fractions are equivalent to 9 6​

Answers

Answer:

2/3

Step-by-step explanation:

The fractions which are equivalent to the fraction [tex]\frac{9}{6}[/tex] from the given options are [tex]\frac{3}{2}[/tex] and [tex]\frac{12}{8}[/tex], which are options (A) and (C).

Given a fraction [tex]\frac{9}{6}[/tex].

It is required to find the fraction which is equivalent to the given fraction.

If two fractions are equivalent, then they will be proportional.

The fraction [tex]\frac{9}{6}[/tex] can be written as [tex]\frac{3*3}{2*3}[/tex].

Here, when 3 gets canceled, the resulting fraction is [tex]\frac{3}{2}[/tex].

So, [tex]\frac{3}{2}[/tex]  is equivalent to [tex]\frac{9}{6}[/tex].

And, [tex]\frac{3}{2}[/tex] is the simplest fraction that cannot be simplified further.

So, any number multiplied by it both on the numerator and denominator will be an equivalent fraction.

Multiplying both the numerator and denominator of the fraction [tex]\frac{3}{2}[/tex] by 4, the resulting fraction is [tex]\frac{12}{8}[/tex].

Hence, the correct options are (A) and (C).

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The complete question is given below.

Which fractions are equivalent to [tex]\frac{9}{6}[/tex]?

(A) [tex]\frac{3}{2}[/tex]

(B) [tex]\frac{4}{5}[/tex]

(C) [tex]\frac{12}{8}[/tex]

(D) [tex]\frac{10}{8}[/tex]

what is the percentage of change for the cost of cheeseburger if in the year of 2000 it was $5.00 and in 2015 is $6.50.​

Answers

Answer:

$2.50

2015: $2.00

2000: $7.50

2000: $5.00

2000: $2.00

2015: $9.00

2015: $6.50

2015: $4.50

2010

1. what is the percent of change in the cost of a pizza? _ a

x 150

100 1.50 p1500 750 1155oo.

150 isg

pi

2. what is the percent of change in the cost of a cheeseburger?

175

6.50

1.50

Step-by-step explanation:

The art department is ordering paint supplies for their next project. They have $200 in their budget for paint and brushes. Each paint tube costs $12 and each brush costs $2. If the department buys 27 brushes, what is the most number of paint tubes they can buy?

Answers

Answer:

12

Step-by-step explanation:

27 times2 is 54 -200 =146           12 times 12 is 144 and you cant go over 146 for 13                 please mark brianly

10 POINTS IF SOMEONE COULD HELP ME WITH THIS!! :(

Elevator 1 in a building moved from ground position to a final position of +16 feet. Elevator 2 in the same building moved from ground to a final position of –25 feet. Which statement best describes the final positions of these two elevators?

a) Elevator 1 is 16 feet below ground level, and elevator 2 is 25 feet above ground level.

b) Elevator 1 is 16 feet above ground level, and elevator 2 is 25 feet below ground level.

c) Elevator 1 is 16 feet above ground level, and Elevator 2 is 25 feet below the position of Elevator 1.

d) Elevator 1 is 16 feet below ground level, and Elevator 2 is 25 feet above the position of Elevator 1.

Answers

Answer:

Your answer is B) Elevator 1 is 16 feet above ground level, and elevator 2 is 25 feet below ground level.

Mark as brainliest if it's correct!

Desmond follows a recipe that uses 4 cups of flour for each pizza crust he makes. If he makes 16 pizza crusts, how many cups of flour does he use?

Answers

Answer:

64 cups of flour

Step-by-step explanation:

Each crust uses 4 cups of flour.

So, 16 crusts uses 64 cups of flour. (16x4)

Look at image please help me asap

Answers

Answer is b^2 (extra characters)

Answer:  [tex]b^2[/tex]

You can write this as b^2

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

Work Shown:

[tex]c = \frac{(ab^5)^{1/2}}{(ab)^{1/2}}\\\\c = \left(\frac{ab^5}{ab}\right)^{1/2}\\\\c = \left(b^4\right)^{1/2}\\\\c = b^{4*1/2}\\\\c = b^{2}\\\\[/tex]

Brandon is on one side of a river that is 70 m wide and wants to reach a point 250 m downstream on the opposite side as quickly as possible by swimming diagonally across the river and then running the rest of the way. Find the minimum amount of time if Brandon can swim at 2 m/s and run at 6 m/s.

Answers

Answer:

The minimum amount of time required is 74.7 seconds.

Step-by-step explanation:

The question can be solved in two cases:

i. diagonal swimming of Brandon across the river

ii. Running of the rest distance by Brandon.

Case I: Since he would swim diagonally across the river, then the diagonal distance can be determined by applying appropriate trigonometric function.

Let the diagonal be represented by x, an included angle θ = [tex]45^{o}[/tex] is formed at his starting point (angle formed by the diagonal and the length of the width of the river).

So that:

Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]

Cos [tex]45^{o}[/tex] = [tex]\frac{70}{x}[/tex]

x = [tex]\frac{70}{Cos 45^{o} }[/tex]

  = 98.995

x = 99 m

The diagonal distance covered by Brandon is 99 m.

The time to cover this distance can be calculated by:

speed = [tex]\frac{distance}{time}[/tex]

time = [tex]\frac{distance}{speed}[/tex]

Given that his swimming rate is 2 m/s, then:

time = [tex]\frac{99}{2}[/tex]

        = 49.5

The time taken by Brandon to swim diagonally is 49.5 seconds.

Case II: Since he want to cover a total distance of 250 m;

remaining distance to be covered = 250 - 99

                                                         = 151

time = [tex]\frac{distance}{speed}[/tex]

Given that he runs at 6 m/s, then;

time = [tex]\frac{151}{6}[/tex]

       = 25.1667

The time taken by Brandon to run the remaining distance is 25.2 seconds.

The minimum amount of time required = time taken by Brandon to swim diagonally + time taken by Brandon to run the remaining distance

                                 = 49.5 + 25.2

                                 = 74.7

The minimum amount of time required is 74.7 seconds.

Minimum amount of time to reach the desired point is   79.5 s

Brandon is on one side of a river

The width of the river =  70 m

Brandon wants to reach a point that is 250 m downstream of opposite side as quickly as possible by swimming diagonally across the river then running the rest of the way.

The swimming speed of Brandon =   2 m/s

The speed of running of Brandon = 6 m/s

Let us consider that the included angle be 45°

[tex]\rm cos \; \theta = \dfrac{70}{x} \\\\cos \; 45 = \dfrac{70}{x} \\\x = \dfrac{70}{0.707} \approx 99[/tex]

So the distance traveled by Brandon in water is 99 m

As the swimming speed of Brandon is given 2 m/s

So the time taken by Brandon to cross the river is given as follows

[tex]\rm Time = \dfrac{Distance}{Speed}[/tex]

[tex]\rm Time \; to\; cross\; the\; river = \dfrac{99}{2} = 49.5 \; s[/tex]

Let the horizontal distance covered by Brandon by swimming is H

So from Pythagorean theorem we can write

[tex]\rm H = \sqrt{99^2 -70^2 } = 70[/tex]

The distance that is left to be traveled by running is  250 - 70 = 180 m  

So  Time taken in running to reach the point by running = 180/6 = 30 s

So the  time to reach the desired point = 49.5 + 30 =   79.5 s

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Isabella deposited $2000 in an account that pays 5% simple annual interest after one year how much interest will her investment pay

Answers

Answer:

100

Step-by-step explanation:

5% of 2000 is 100

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