Mathematics College

The angles of a triangle are (x - 5), (x + 15)°
and (2x + 10). Given that the sum of the
angles of a triangle is 180°, calculate the size
of each angle.​

Answers

Answer 1

Answer:

35°, 55°, 90°

Step-by-step explanation:

Since all the angles of a triangle equal 180, add them all together and set them equal to 180.

(x-5)+(x+15)+(2x+10)=180

Now solve for each angle.

(40-5)

=35°

(40+15)

=55°

(2(40)+10)

=90°

Now check your work.

35°+55°+90°

=180°

Related Questions

The following expression represents the profit made by John as he mows
lawns: P = 20L - 100
Which description correctly interprets each part of the expression?

Answers

Answer:

P is price per lawn, 20 is the money made per lawn, L is the number of lawns mowed, 100 is his initial cost.

Step-by-step explanation:

What is 3000×3000 4000

Answers

Answer:

I think the answer is 12,0000

Answer:

3000x3000=9,000,000

Step-by-step explanation:

3x3x1,000,000

What is the solution to the system of equations
Y=x+6
Y= -0.5x+3

Answers

Answer:

[tex]y = 4 \\ x = - 2[/tex]

Please help ASAP
I’ll mark Brainliest
What’s the total and lateral surface area for the figure?

Answers

Answer:

The total is 20 and the lateral surface is 1008 I think

i’m confused and need help fast please.

Answers

Answer:

C) 48.3

Step-by-step explanation:

The lines are parallel, meaning that when the third line is intersecting them both, the angles formed will be exactly the same. The top angle that is to the right is 25°, meaning that he bottom angle to the left is 25°. All that is left is to find the last two angles in order to find out what the answer to the equation is. The 25° angle is next to a triangle causing the lines to be flat, or 180°.

180 - 25 = 155

That means the bottom angle to the right is 155. In order to find x, subtract 10 and divide by 3.

3x + 10 - 10 = 155 - 10

3x = 135

3x/3 = 135/3

x = 48.3

This is Adeles solution for the equation x^2+8x- 9 = 0 Step 1 x^2 +8x = 9 Step 2 x^2 +8x + 16 = 9 + 16 Step 3 ( x + 4 ) ^2 = 25 Step 4 x + 4 = 25 or x + 4 = - 25 Step 5 x = 21 or x = - 29. Where did Adele make her mistake? What are the solutions to this equation? Show all of your work. 2. Which would be the best method to use to solve the following equation. Explain your reasoning. A x^2 - 49 = 0 B. x^2 - 3x - 4 = 0 C. x^2 - 2x - 6 = 0 ​

Answers

Answer:

Adeles forgot to square root 25 in step 4 therefore the solutions would be 1 and -9

Step-by-step explanation:

Equation : x² + 8x - 9 = 0

Step 1 : x² + 8x = 9

Step 2 :  x² + 8x + 16 = 9 + 16

Step 3 :  ( x + 4 )² = 25

Step 4 :  x + 4 = 25 or x + 4 = - 25

Step 5 :  x = 21 or x = - 29.

8+8+8=24 as multiplecation sentence

Answers

Answer

Hola la respuesta que buscas es bastante simple pero no lo sé

Step-by-step explanation:


I need help the question is what is the are of the composite figure

Answers

Answer:

Option 4

Step-by-step explanation:

Area of a trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

Here, [tex]b_1[/tex] and [tex]b_2[/tex] are the bases and 'h' is the height between the bases.

Area of the composite figure = Area of two trapezoids given

                                                = [tex]\frac{1}{2}(12+12)14+\frac{1}{2}(25+31)11[/tex]

                                                = [tex]\frac{1}{2}(24)(14)+\frac{1}{2}(56)(11)[/tex]

                                                = 168 + 308

                                                = 476 square ft

Option 4 is the answer.

PLS HELP WILL GIVE BRAINLESS

Answers

Answer:

1a. 3/8

1b. 4/12-1/3

Step-by-step explanation:

to get the answers you have to find a common denominator and then add them

Answer:

The answer would be

a) 3/8

b) 1/3

Amira sells balloon animals. She uses the same number of balloons for each animal she makes. The table compares the number of balloon animals sold and the remaining number of balloons on a certain day.
Animals Balloons
20 180
29 144
38 108

How many balloons does Amira use for each balloon animal?

Answers

She used 4 balloons for each anima

Answer:

36/9=4

Step-by-step explanation:

i tried it on khan it worked

13 points.First Come First Serve!!!!

Answers

(=0w0=) Little one, welcome! Aaliyah!

Zander found these coins in his Couch

Answers

Answer:

91 cents

Step-by-step explanation:

3 quarters+3 nickel+1 penny=91 cents

Answer:

91 cents

Step-by-step explanation:

3 quarters=75c

3 nickels=15c

1 penny=1c

75c+15c+1c=91 cents

find the solution(s)
y= x + 1
y= x² - 4x + 5

Answers

Answer:

1. Many possible solutions, two solutions would be: (-1,0) and (1,0)

2. x  =  −

2

±  i

Step-by-step explanation:

For the first equation, since its linear, there are many possible solutions!

two solutions would be: (-1,0) and (1,0)

For the second one, replace y with 0 and solve

x  =  −2 ±  i

Hope i helped, brainliest would be appreciated

Have a nice day!

  -Aadi x

Please help me I am in need of help!

Answers

Answer:

answer is currents hope this helps

Step-by-step explanation:

The answer is currents hope this helped have a nice day!:)

which is a true statement about 10 days of production

Answers

Answer:

At 10 days, no line is above the '0' means no one is producing widgets at 10 days point. Since the y axis represents number of widgets produced, this means none of the plants have produced more than 0 widgets yet.

Juice is on sale with the rule "buy one, get one half-off.” Write an expression two different ways to represent the cost of buying two containers of juice, j, on sale. Enter the correct answers in the boxes. ​

Answers

Answer:

34

24

Step-by-step explanation:

divide 25 by 3

taka is playing a game of darts. she scores 52 points. in the game she is playing, she gets a -3 score each time she misses the board. her final point total is 37. write and solve an equation to find out how many times she missed the board

Answers

Answer:

5

Step-by-step explanation:

52-37 is 15 . divide by 3 and u get five

how many different ways can you find for 7 coins totaling 95 cents?​

Answers

Answer:

one way

Step-by-step explanation:

2 quarters

4 dimes

1 nickel

x3+43-12x2+x30 (x-6) (x+2)


solve it.

Answers

The answer would be 94

PLS HELP ASAP!its due very soon so tysm if u help me :)

Answers

Answer:

23

Step-by-step explanation:

Use the part/whole = %/100.

You have that whole = 115 and % = 20, so that would be:

[tex]part/115=20/100[/tex]

simplify & solve:

[tex]part/115=1/5[/tex]

multiply both sides by 115

[tex]part=115/5\\part = 23[/tex]

The local park has a circular pond with a radius of 9 feet. What is the pond's circumference?

Answers

Answer:

Using 3.14 as pi, the answer would be 56.52, and using just pi (as in the input on a calculator) would be 56.54867.

Step-by-step explanation:

The equation for circumference of a circle is C = πd, C representing the circumference and d representing the diameter. Since the equation shows the radius, the equation can also be C = 2πr, since the radius is half of the diameter. Multiply nine by two to get eighteen. 18 times 3.14 = 56.52.

To decorate 6 dozen cupcakes with red hot candies, Nan needs about 550 red hots. Which two sacks of candy would be the best buy?plsss help me asap giving brainless and explain whay is that the answer.​

Answers

Answer:

Is there supposed to be a picture?

Step-by-step explanation:

Find the product of 5/3 with quotient of 2/11 and 4/11

Answers

Answer:

5/6

Step-by-step explanation:

quotient of 2/11 and 4/11 is 22/44 or 1/2

5/3 · 1/2 = 5/6

4) An arithmetic sequence has a 7th term of 54 and a 13th term of 94. Find the common difference

Please answer!!

Answers

Answer:

20/3

Step-by-step explanation:

Every nth term takes the form of  a + n*d, where a is the first  term.

So 7th term = (54 = a + 7d), 13th term = (94 = a + 13d).

equate them both:

94 - 13d = 54 - 7d

40 = 6d

d = 40/6

Expand (2x - 5)4 with the help of Pascal's triangle

Answers

Answer:

8x-20

Step-by-step explanation:

8x-20

(2x-5)4 2x*4

8x- 4*5

8x-20

Answer:

Answer:(2x-5)4

Answer:(2x-5)42x=20

Answer:(2x-5)42x=20or,x=20/2

°°°x=10

What is the slope of the line ?(khan academy)

Answers

Answer:

The slope of the line is 2.

Step-by-step explanation:

Slope of a line:

Suppose that we have two points. The slope of the line is given by the change in y divided by the change in x.

In this question:

Points (0,0) and (1,2)

Change in y: 2 - 0 = 2

Change in x: 1 - 0 = 1

Slope: [tex]m = \frac{2}{1} = 2[/tex]

The slope of the line is 2.

Use the expression 7.6s+(45÷9)−15 to answer 9–10.
9.
Which part of the expression represents a​ quotient? Describe its parts.
10.
Which part of the expression represents a product of two​ factors? Describe its parts.
9. The part of the expression that represents a quotient is
10. The part of the expression that represents a product of two factors is

Answers

Answer:

45 ÷ 9, 7.6s

Step-by-step explanation:

9) A quotient is a result of dividing a quantity by another quantity. We see that 45 ÷ 9 is a form of division. We could say that 45 is divided into 9 parts. 45 ÷ 9  can also be written in fractional form: [tex]\frac{45}{9}[/tex]. Lastly, we see that the quotient would be 5.

10) A product is a result of multiplying a quantity by another quantity. We see that 7.6s is a simplified form of multiplication that actually represents 7.6 × s.

7.6 is a known numerical value. It is the coefficient of the variable x, which we do not know the value for.

explain the answer to 481.5÷45

Answers

Its simple this is your answer
10.7

Answer:

10.7

Step-by-step explanation:

10.7

    - 45

         31

        -00

         315

        -315

          00

Find the inverse of the function.
f(x) = -3x + 7

Answers

f(x) = -3x + 7
y = -3x + 7
x = -3y + 7
-3y + 7 = x
-3y = x - 7
y = -1/3x + 7/3
f^-1(x) = -1/3x + 7/3

Raul wants to buy a new bike from a store having a 10% off sale on
all bikes. The bike he wants has a sale price of $135. Write and solve
an equation to find the original price, b, of the bike.
by

Answers

Answer:

p = $150

Step-by-step explanation:

Let p represent the original price.  Then 10% of that is the discount:  0.10p.

The price after discount is 90% of the original price, or (1.00-0.10)p = 0.90p = $135.  We next solve this equation for p:  0.90p = $135, or p = $150.

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