In ΔRST, \text{m}\angle R = (11x+3)^{\circ}m∠R=(11x+3) ∘ , \text{m}\angle S = (x+15)^{\circ}m∠S=(x+15) ∘ , and \text{m}\angle T = (2x+8)^{\circ}m∠T=(2x+8) ∘ . Find \text{m}\angle R.M∠R.

Answers

Answer 1

Answer:

<R = 124°

Step-by-step explanation:

Note that the sum of angles in a triangle is 180degrees. In a triangle RST

Given

∠R=(11x+3)°

∠S=(x+15)°

∠T=(2x+8)°

Required

∠R

First we need to get the value of x;

since <R+<S+<T = 180

11x+3+x+15+2x+8 = 180

11x+x+2x+3+15+8 = 180

14x+26 = 180

14x = 180-26

14x = 154

x = 154/14

x = 11°

get <R

Since <R = 11x+3

<R = 11(11)+3

<R = 121+3

<R = 124°

Hence the measure of <R is 124°


Related Questions

PLEASE HELP ME ASAP!!!!

Answers

Answer:

1 X 88=88

2 X 88=176

3X88=264

4X88=352

Step-by-step explanation:

Adult tickets to a musical cost $15 and children's tickets cost $8. A total of 725 tickets were sold which brought in a total of $8775.

How many of each type of ticket were sold?

State the equation used to solve, along with both answers.

Answers

Given:

Cost of adult's ticket = $15

Cost of  children's  ticket = $8

Total tickets = 725

Total sales = $8775

To find:

The number of each type of ticket were sold.

Solution:

Let x be the number of adult tickets and y be the number of children's ticket.

Total tickets : [tex]x+y=725[/tex]         ...(i)

Total sales : [tex]15x+18y=8775[/tex]           ...(ii)

Multiply equation (i) by 15.

[tex]15x+15y=10875[/tex]         ...(iii)

Subtract (iii) from (ii),

[tex]15x+18y-15x-15y=8775-10875[/tex]

[tex]3x=-2100[/tex]

[tex]x=-700[/tex]

Putting x=-700 in (i), we get

[tex]-700+y=725[/tex]

[tex]y=725+700[/tex]

[tex]y=1425[/tex]

Therefore, the number of adult tickets is -700 and number of child tickets is 1425.

Note: The number of tickets cannot be negative. So, there must be some error in the question.

Select all that apply.
40 is what percent of 25. Hint: There are 2 correct answers.
А160%
B 62.5%
C 1600%
D625/1000
E 160/100
F1600/100

Answers

Answer:

B and D

Step-by-step explanation:

Hope this helps :3

if it did pls mark brainliest

Answer:

A & E

Step-by-step explanation:

First, multiply 40 by 100, giving you 4000. You then divide 4000 by 25, where you will get a quotient of 160. Now, this can be represented as 160% or 160/100 because a percentage is always out of 100.

Josh bought 3 bottles of grape juice and 5 bottles of water for a total of $14.50. Mary bought 2 bottles
of grape juice and 3 bottles of water for a total of $9.00. How much does the grape juice cost and the water?

Answers

Answer:

Bottle of water = $2Bottle of grape juice = $1.50

Step-by-step explanation:

Grape juice = gWater = w

Equations:

3g + 5w = 14.502g + 3w = 9.00

Subtract the 3 times the second equation from the twice the first:

2*(3g + 5w) - 3(2g + 3w) = 2*14.50 - 3*9.006g + 10w - 6g - 9w = 29 - 27w = 2

Then, finding g:

3g  + 2*5= 14.503g = 14.50 - 103g = 4.5g = 1.50

Find the measures of the exterior angles of the polygon.

Answers

Step-by-step explanation:

180 - 34 = 146

one angle is a right angle, angle across it is 146, 360 - 90 - 146 = 124

divide that by two to get the measures of the remaining two angles (62 degrees)

180 - 62 = x

118 = x

:

/ = .

-- :

, . , - , ,

A student wrote four statements during math class. Which statement contains an error?

Answers

Answer:

C

Step-by-step explanation:

The answer is C if you multiply (a)38×18=684

(b)46×16=736 (c)54×14=756 the question is 766 miles meaning that c is the wrong answer .i hope this was helpful.

Jiro and Joey share a 30-ounce box of cereal. By the end of the week, Jiro has eaten 3/10 of the box, and Joey has eaten 3/5 of the box of cereal. How many ounces are left in the box?

Answers

Answer:

6 ounce of cereal

Step-by-step explanation:

Step one:

given that the box is 30 ounce of cereal.

for Jiro----who ate 3/10 of the 30 ounce

=3/10*30

=9 ounce

Jiro ate 9 ounce

step two:

for Joey----who ate 5/10 of the 30 ounce

=5/10*30

=15 ounce

Joey ate 15ounce

the total ounces that both of them ate is

=9+15

=24

therefore the ounce left

=30-24

=6 ounce of cereal

The left over is 6 ounce of cereal

Gas costs $2.07 a gallon.

Write an equation to model

this math situation.

How much will it cost for 15 gallons?

a
y=15x; $31.05
b
x=2.07y; $7.24
c
y=2.07x; $31.05
d
y=15x; $7.24

Answers

I think it’s a.... because 15 times 2 equals

Make & the subject of the
Formula
6x ta=5(x+t)

What is the answer please

Answers

Answer is x = 5t-a

6x+a = 5(x+t) Expand the bracket
6x+a = 5x+5t Subtract the least x’s (so 5x)
x+a = 5t Subtract a to make x the subject
x = 5t-a

Answer:

x  = 5t - a

Step-by-step explanation:

The problem deals with making a variable the subject of the formula in the expression.

 Given expression:

            6x + a = 5(x + t)

  We are to make x the subject of the formula in the expression

   

Solution:

           6x + a  = 5(x+t)

On the right hand side, expand the parentheses and distribute the term outside;

          6x + a  = 5x + 5t

   Bring the term desired to be the subject to one side by adding (-5x) to both sides;

     6x + (-5x) + a = 5x + (-5x) + 5t

           x + a  = 5t

  Now add (-a) to both sides

         x + a + (-a) = 5t + (-a)

          x  = 5t - a

What is the 10th term in the sequence -3, -8, -13, ..

Answers

Answer:

-48

Step-by-step explanation:

The full sequence until the tenth term is...

-3, -8, -13, -18, -23, -28, -33, -38, -43, -48,

Answer:

-48

Step-by-step explanation: You don't really care about the explanation. You already got the answer. What are you still doing here, reading this?

The angles of a triangle are x,2x,3x. Find the value of x in degrees​

Answers

Answer: x = 30°
Sum of interior angles is 180°, and there are 6x’s. 180 divided by 6 is 30

Answer:

x=30°

Step-by-step explanation:

x +2x+3x=6x

since triangles are 180° in total. 6/180=30

so 30° is your answer.

A serving of bagel chips contains 20 grams of carbohydrates, 3 grams of fat, and 3 grams of protein. How many calories would be in the serving of chips?
1 gram of protein= 4 calories, 1 gram of carbs= 4 calories, 1 gram of fat= 9 calories.

Answers

Answer:

119 calories in a serving

Step-by-step explanation:

>>1 gram of carbs=4 cal

20 g of carbs times 4 calories per gram of carbs= 80 calories

>>1 gram of fat=9 calories

3 g of fat times 9 calories per gram of fat= 27 calories

>>1 gram of protein=4 calories

3 g of protein times 4 calories per gram of protein= 12 calories

<80+27+12=119 calories total in a serving of chips>

Alexa took a test and lost 3 points for each of the 7 questions she got wrong. She earned an additional 5 points for answering a bonus question correctly. How many points did Alexa receive or lose overall?

Answers

Answer:

Alexa lost 16 points overall

Step-by-step explanation:

To determine whether Alexa had a net receipt or loss of points, we will fine the total points received or lost, and find the difference:

points lost:

3 point for each of the 7 questions she answered wrong

lost point = 3 × 7 - 21 points

Points received:

5 points for answering a bonus question

point received = 5 point

The points lost (21) is greater than the points received (5), hence, there was a net loss. The net loss is calculated as follows:

points lost - points received

= 21 - 5 = 16

∴ Alexa lost 16 points overall

1.) Jeffjust bought a house on a triangular lot. The
sides measure 85 feet. 132 feet, and 157 feet. Is his
lot a right triangle?

Answers

Answer:176 feet

Step-by-step explanation:because you multiply all sides of the triangle

Explain how you calculate the constant of variation.

Answers

Answer:Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.

Step-by-step explanation:The constant of variation means the relationship between variables does not change. When we want to identify the constant of variation for an equation, it is helpful to refer to one of the following formulas: xy = k (inverse variation) or y/x = k (direct variation), where k is the constant of variation.

7/15 simplified I’ve tried everything!!PLEASE ANSWER ASAP

Answers

Answer:

You cannot simplify 7/15 to a smaller fraction. But you could divide 7 by 15 to get a decimal.

Step-by-step explanation:

Answer:

you can't simplify the number 7

Find the zero of the function.
f(x) = 4x2 – 12x + 9

The zero of the function is x=

Answers

Answer:

x= 3/2

Step-by-step explanation:

I apologize if it is wrong!

Stan, Greg, and Seth were cleaning the school gym in shifts. Stan
cleaned first, then Greg, then Seth. If they each cleaned the same
amount of time for a total of 11 hours, how many minutes did each one
clean?

Answers

an hour is 60 minutes so we would do 60x11 which equals 660 then divide by 3 which is 220 so 220 minutes is your answer

WIll mark BRAINLIST!!
I attached the screenshot

Answers

Y=|x| +3
Y=-|x+2| -1
Y=3|x-4| - 5


Find a point-slope form for the line with slope 1/5 and passing through the point (-4,-9).

Answers

Answer:

y + 9 = [tex]\frac{1}{5}[/tex](x + 4)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = [tex]\frac{1}{5}[/tex] and (a, b) = (- 4, - 9) , thus

y - (- 9) = [tex]\frac{1}{5}[/tex](x - (- 4) ) , that is

y + 9 = [tex]\frac{1}{5}[/tex](x + 4)

the diagram shows a circle inside a square ABCDB AB = 20 cm. the radius of the circle is 9 cm. work out the area of the shaded region

Answers

Step-by-step explanation:

Area of the square = a²

= 20²

= 400cm²

Area of the circle = πr²

= 22/7 × 9²

= 22/7 × 81

= 254.57cm²

Area of the shaded region = Area of the square - Area of the circle

= 400cm² - 254.57cm²

= 145.43cm²

Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack.

Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar.

Let x = the number of packages of pasta and y = the number of jars of pasta sauce.

One package of pasta is the right amount to go with one jar of pasta sauce. What is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry?

How many packages of pasta?

How many jars of pasta sauce?

Explain your reasoning.

Answers

Answer:

8 packages of pasta and 8 jar of sauce which is $32 dollars and 20lbs in total

Step-by-step explanation:

8 pack of pasta is 8$ and 8lbs

8 jars of sauce is 24$ and 12lbs

8 plus 12 is 20 which is the max of lbs Tyler can carry.

Find 0.038 as a fraction in its lowest terms

Answers

Answer:

19 / 500

Pls mark as brainliest!!!

Answer:

19/5

Step-by-step explanation:

If you're using a scientific calculator you will be able to find this answer by just simply pressing 0.038 x 100 divided by 1

PLEASE help find measure of angle - TEst review today

Answers

Answer:

both measured would be 25 and 19

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

if x equals 4 then 21x+4 equals 88 and 23x-4 equals 88 too.

PLEASE HELP ME AND EXPLAIN.

Answers

Answer:

9*8=72 which would be more than enough to cover the wall

PLEASE HELP ME 16 POINTS PLEASE HELP

Answers

Is there any other more information for this

Answer:

the y-intercept is 0

Step-by-step explanation:

it goes straight through the origin

Which rational number equals 0.7 ? 1 10 Flo 11​

Answers

Answer:

0.7 is a rational number... but 7/10

Step-by-step explanation:

Hope I helped!

Answer: This absolutely makes no sense  

Step-by-step explanation:

Challenger Elementary School has 800 students. Every Wednesday, 12% of the students stay after school for Chess Club. How many students attend on Wednesday’s?

Answers

Answer:

96 students attend chess club after school on Wednesday's.

Step-by-step explanation:

To solve this problem, simply multiply 800 x 0.12.

    800 x 0.12 = 96

I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking my answer Brainliest. It would help a lot. Have a great day!

Answer:

[tex]\huge\boxed{\text{96 students}}[/tex]

Step-by-step explanation:

In order to find how many students stay back for Chess Club, we want to find 12% of 800.

To do this, we can set up a percentage proportion.

[tex]\frac{12}{100} = \frac{x}{800}[/tex]

We can now solve for x by cross multiplying.

[tex]800 \cdot 12 = 9600\\9600 \div 100 = 96[/tex]

So, 96 students attend Chess Club on Wednesdays.

Hope this helped!

2+10= 12

True or False??

Just for points:)

Answers

Answer:

True thank you for the points

Answer:

true

Step-by-step explanation:

2+10=12

true. do i get the points?

Solve for s.
4s + 6s - 4 = 6

Answers

Answer:

s = 1

Step-by-step explanation:

4s + 6s - 4 = 6

10s - 4 = 6

     + 4  +4

10s = 10

10s/10=

s = 1

Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!

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