Mathematics College

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 16 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles

Answers

Answer 1

Answer:

       First:  30°

 Second:   67°

      Third:  83°

Step-by-step explanation:

        First:   x

  Second:   y

      Third:   z = y + 16

Constraints:

   x + y + z  = 180

   y + z = 5x                  ===>    y = 5x - z

   

Substitution to find first angle x:

   x + y + z  = 180

   x + (5x - z) + z  = 180

   x + 5x - z + z = 180

   6x = 180

    x = 30

Substitution to find second angle y:

   y = 5x - z

   y = 5(30) - z

   y = 150 - z

   y = 150 - (y + 16)

   y = 150 - y - 16

   y = 134 - y

   2y = 134

     y = 67

Substitution to find third angle z:

  z = y + 16

  z = (67) + 16

  z = 83

Answer 2

Answer:

x=30 y=67 z=83

Step-by-step explanation:

The solution is therefore (30,67,83).

Related Questions

The first term of a geometric series is -3, the common ratio is 6, and the sum of the series is -4,665 Using a table of values, how many terms are in this geometric series

Answers

Answer:

There are 5 terms in the series.

Step-by-step explanation:

[tex]S=a\frac{1-r^{n} }{1-r}\\a=-3\\r=6\\-4665=-3\frac{1-6^{n} }{1-6}\\1555=\frac{1-6^{n} }{-5}\\\-7775=1-6^{n}\\6^{n}=7776\\[/tex]

Take logs to get n = 5

Answer:

5

Step-by-step explanation:

The ratio of boys to girls at JOMS is 3 to 4. If there are 45 boys how many girls are there

Answers

Answer:

60...................

What is the answers help me please part A B C

Giving extra points

Correct answer

Answers

Answer:

A, 38, 40

Step-by-step explanation:

a. A has to be the first graph because it starts at $ 25 and it rises as more work needs to get done

b.if you go from 50 up until you get to the line, then look left at the axis is about $38

c. C=25+s*0.25, substitute c=35 and find s

35=25+s*0.25 subtreact 25 from both sides

35-25= s*0.25

10=s*0.25 divide both sides by 0.25

10/0.25=s

40=s

What is another way to write x divided by 12
?

Answers

Answer:

x/12

Step-by-step explanation:

If a middle school has 1,256 books to divide among 13 teachers. How many will each teacher get

Answers

Answer:

96.61

Step-by-step explanation:

Answer:

96 R (remainder) 8

Step-by-step explanation:

96 R8

What are the polar coordinates of the complex number -23i?​

Answers

Please markme as Brainliest .......

The regular price of a laptop computer is $914.00. This week, it is on sale for $886.00 of
What is the sale price of the computer?

Answers

Answer:

3.1%

Step-by-step explanation:

Subtract.

914 - 886 = 28

Divide by the original price.

28/914 = 0.0306345...

Multiply by 100%.

0.0306345... * 100% = 3.06345%

Round if needed.

3.06345% -> 3.1%

Best of Luck!

3.1 %
Uhh I tried
Lmk,

How many 5-digit numbers are there in which three of the digits are 6, or two of
the digits are 9 ?

Answers

Answer:

The value  is  [tex]Z = 80[/tex]

Step-by-step explanation:

From the question we are told that

    The total  number of digit is  n = 5

     The total possible number of  6  is  k =  3

     The total possible number of  9  is  a = 2

Generally the number of way of representing a 5 digits number(i.e the number of five digit numbers ) in which 3 of the digit are 6 is mathematically represented as

       [tex]N = ^ nP_k[/tex]

Here P stands for permutation hence we are going to be making use of the permutation function in our calculators

      [tex]N = ^ 5P_3[/tex]

=>   [tex]N = 60[/tex]

Generally the number of way of representing a 5 digits number(i.e the number of five digit numbers ) in which 2 of the digit are 9 is mathematically represented as

       [tex]M = ^ nP_a[/tex]

      [tex]M = ^ 5P_2[/tex]

=>   [tex]M = 20[/tex]

Generally the number of 5-digit numbers there are in which three of the digits are 6, or two of  the digits are 9  is mathematically represented as

      [tex]Z = M + N[/tex]

=>   [tex]Z = 60 + 20[/tex]

=>   [tex]Z = 80[/tex]

which represents the area of the figure

ASAP PLS

Answers

The Answer is B so pick it.

Answer:

What does a goat say?BBBBBBB

Step-by-step explanation:

Grade:
Subject: Ma
Stream: Advanced
Number of P
End of Term 1 Exam
Academic Year 2018/2019
Part 1
Circle the letter corresponding to the correct answer.
1) Write an algebraic expression for "3 times X squared minus 4 times X"
a) 3x - 4x?
c) 3x² - 4
b) 3x - 4x
d) 3x2 - 4x​

Answers

the answer is c) 3x^2- 4

Max has 8 pennies.
Jen has 3 more pennies than max.
how many pennies do max and jen have in all

Answers

Answer:

19

Step-by-step explanation:

8+(8+3)

...........

I need help
1/2 + 1/3

Answers

Answer:

5/6

Step-by-step explanation:

1/2x3= 3/6

1/3x2=2/6

3/6+2/6=5/6

What is the approximate value of x? Round to the nearest tenth

Answers

Answer:

10

Step-by-step explanation:

A home improvement store advertises 60 square feet of flooring for $287.00 including an $80.00 installation fee. How much does each square foot of flooring cost?
50 POINTS *GIVEING BRAINLIEST*

Answers

60 square feet= $287.00 + $80.00

                       = $367

1 square feet= $367 / 60

                     = $6.116666667

                     = $6.12 (to 2dp) ( answer)

Answer:

60 square feet for 287 = 287/60 = 4.78 per square foot

so ur equation would be : y = 4.78x + 80

Step-by-step explanation:

Find the value of X.

Answers

54+9+x=90
63+x=90
Answer
X=27

Find the lcm for 96 and 24

Answers

Answer: 96

Step-by-step explanation:

Help you will get brainliest

Answers

I think B or C most likely B

God bless!! <3

Find the unit rate. 12 laps in 30minutes.
Asking for fraction

Answers

Answer:

4/10 maybe cuz 12 divided by 30 is 0.4 and 0.4 would be 4/10

help me out really fast pleaseee

Answers

Distributive because he changed the fractions to the way it would go.

Two scuba divers are swimming below sea level. The locations of the divers can be represented by -30 feet and -42 feet. Which measure represents the location that is closest to sea level.​

Answers

Answer:

-30 feet

Step-by-step explanation:

it is -30 feet because that one is closest to sea level because -42 feet is -12 feet more than -30 feet. plsss give me brainliest plssss

What is the square root of -1?

Answers

Simply, it cannot be done

You can’t find the square root of a negative number, but you can call this imaginary or i

The square root of -1=i

The equation 9 y minus 12 x = 36 is written in standard form. What is the first step when writing an equivalent equation which solves for y?

Answers

Answer:

9y-12x=36

9y=36+12x

y=(36+12x)÷9

Answer:  y=8 and x=3

Example: Because 9*8=72 and 12*3=36

72-36=36

How much space is taken up by a book that is 12 inches long, 10 inches wide, and
1 inch tall?

Answers

120 cause 12x10x1 equal ONE TWENTYYYY YEAHHAHAHAHAHAHAHHHHHAAHAHHHHH

Answer: It takes up 120 inches^3

Step-by-step explanation:

50 points, need help ASAP


Solve this system of equations, then determine what y equals.
x + 5y= 7
2x + 4y = -4


y=-18
y=3
y=8
y=-8

Answers

(x+5y=7)2
2x+10y=14
2x + 4y = -4
Subtract
6y = 18
Divide by 6
Y = 3

Answer: [tex]y = 3[/tex]

1. First, solve for unknown x.

[tex](x+5y=7)2[/tex]

2. Balance the equation.

[tex]2x+10y=14[/tex]

[tex]\mathrm {2x + 4y = -4}[/tex]

3. Now, we subtract.

[tex]6y = 18[/tex]

[tex]6[/tex] × [tex]3 = 18[/tex]

4. Finally, divide.

[tex]18/6=3[/tex]

Please answer all of these

Answers

Answer:

4 is D, 5 is D, 6 is A, 7 is C

Step-by-step explanation:

just do da math

can someone help me answer this question please!!​

Answers

Answer:

i think its A

Step-by-step explanation:

Find the slope of the line through the
given points: (5,-4) & (-1,-4).

Answers

Answer:

m=0

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

Since -4-(-4)=0, we know that the slope has to be zero since the numerator is zero.

HTH :)



Brandon enters bike races.
He bikes 8 /2 miles every 1/2 hour.
How fast did he go

Answers

Answer:

He goes 8 miles an hour

Step-by-step explanation:

8/2 is equal to 4. If Brandon bikes 4 miles in half an hour and keeps a constant speed he ends up biking 8 miles in an hour since two halves of an hour make one.


What is the area, height, and base of this triangle?

Answers

This should be your answer


6. The Awesome Bowl Factory makes two kinds of bowls. They produce a
basic bowl every 9 minutes and a gigantic bowl every 12 minutes. They
start at 8:00 A.M. At what time are the basic bowl and the gigantic bowl
first produced together?

Answers

Answer: 8.36 a.m

Step-by-step explanation:

To solve this, first we need to calculate the lowest common multiple of 9 and 12.

Multiples of 9 = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108.

Multiples of 12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120.

Here, the lowest common multiple = 36

Therefore, we will add 8.00am plus 36 minutes. This will be:

= 8:00 a.m + 36 minutes

= 8.36 am

The time that the basic bowl and the gigantic bowl are first produced together is 8.36 am.

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