The sum of the angle measures of any triangle is 180 degrees. Angle #2 is twice the length of Angle #1 and Angle #3 is 15 degrees less than the Angle #2. What is the measure of each angle?

Answers

Answer 1

Answer: The measure of angle 1 is 39 degrees,the measure of angle 2 is 78 degrees and the measure of angle 3 is 63 degrees.

Step-by-step explanation:

We will represent the measure of angle 1 by x because it is unknown.

It says that the measure of angle 2 is twice angle 1   so we could represent that as  2x  and the measure of angle 2  is 15 less than angle 3 and we could also represent that by  2x - 15.

Now we know they all add up to 180 so add them up and set them equal to 180 and solve for x.

x + 2x + 2x -15 = 180  

5x - 15 = 180

      +15   +15

5x = 195

x = 39  

If x is equal to 39 then the measure of angle 1 is 39 degrees and the measure of angle 2 is twice that so 2(39) = 78   which also gives us the measure of angle 2 as 78.

For angle 3 it says that it has to be 15 less than the measure of angle so  subtract 15 from  78 to find the measure of angle 3.

78 - 15 = 63   The measure angle 3 is 63 degrees. Now add the measures all together to see if they equal 180 degrees .

Check:

39 + 78 + 63 = 180

  180 = 180


Related Questions

In between what two integers is the \large \sqrt{77}

Answers

Answer:

8 and 9

Step-by-step explanation:

Since 77 is between 64= 8² and 81= 9²

√64 < √77 < √818 < √77 < 9

-3+8x-5=-8 Choices: A. -2 B. -1 C. -3/4 D. 0

Answers

Answer:

D.0

Step-by-step explanation:

Which statement is true about the end behavior of the function represented by the graph?

As x approaches 1, f(x) approaches 25.
As x approaches −∞, f(x) approaches −∞, and as x approaches ∞, f(x) approaches −∞.
As x approaches −∞, f(x) approaches −4, and as x approaches ∞, f(x) approaches 7.
As x approaches −∞, f(x) approaches −∞, and as x approaches ∞, f(x) approaches ∞.

Answers

End behavior always involves x approaching positive and negative infinity. So we'll cross off the choice that says "x approaches 1".

The graphs shows both endpoints going down forever. So both endpoints are going to negative infinity regardless if x goes to either infinity.

Answer: Choice BAs x approaches −∞, f(x) approaches −∞, and as x approaches ∞, f(x) approaches −∞.

Another way to phrase this would be to say "f(x) approaches negative infinity when x goes to either positive or negative infinity"

End behavior always involves x approaching positive and negative infinity. So we'll cross off the choice that says "x approaches 1".

The graphs shows both endpoints going down forever. So both endpoints are going to negative infinity regardless if x goes to either infinity. (Option B)

What is end behavior in graphs?

End behavior refers to the behavior of a graph as the x-values approach positive or negative infinity.

It describes how the graph behaves at the far left and far right ends.

End behavior can be categorized as increasing or decreasing, and it helps understand the long-term trend or direction of the graph.

Learn more about end behavior at:

https://brainly.com/question/12619590

#SPJ2

Melissa has three different positive integers. She adds their reciprocals together and gets a sum of $1$. What is the product of her integers?Melissa has three different positive integers. She adds their reciprocals together and gets a sum of $1$. What is the product of her integers?

Answers

Answer:

One possible answer is 0,1,1

Step-by-step explanation:

-1x-1 is 1

How do you solve x+(2x + 40) + (3x - 50) = 15002

Answers

1. Take away the parentheses. x+2x+40+3x-50=15002

2. Add the X’s together.
x+2x+3x= 6x —> 6x+40-50=15002

3. Subtract 50 from 40.
40-50= -10 —> 6x-10=15002

4. Move -10 to the right hand side to make it positive.
6x=15002+10

5. Add 15002 and 10 together.
6x=15012

6. Divide 15012 by 6. Which makes the answer X=2502

Answer:

First, combine like terms by combining the variables and constants. Then use properties of equality to isolate the variable and find the value for x.

Step-by-step explanation:

sample response from ed2020

What is the domain of the function represented by the graph?

Answers

Answer:

I believe its c

Step-by-step explanation:

The domain of a quadratic function is all real numbers

Answer:

See Below

Step-by-step explanation:

Question 12
What is the length of a segment with endpoints at (-3, 4) and (4, 4)?

Answers

Answer:

7 units. count from -3 to 4 on a number line

Step-by-step explanation:

Answer:(4,5)

Step-by-step explanation:

Olivia decides to hire an electrician. The electrician charges $35 to come out to Olivia's
home, and $60 an hour for work. This is modeled by
C (2) = 35+ 60x . Explain what C (5) = 335 means in terms of total cost and
number of hours.
help plz

Answers

Answer:

Step-by-step explanation:

Total cost

C (x) = 35+ 60x

Where,

Fixed cost= $35

Variable cost = 60x

x= number of hours of work

Total cost is the addition of fixed and variable cost

C (x) = 35+ 60x

C(5)= 35 + 60(5)

= 35 + 300

=335

C(5) = 335

C(5) = 335 is Olivia's total cost of hiring the electrician

x=5 is the electrician's number of hours of work

35= fixed cost of hiring the electrician

60(5) = 300 is the variable cost of hiring the electrician for 5 hours

If tan fº = 2/1 and the measure of yw is 8 units, what is the measure of xw?

2units

4units

7units

8 units

Answers

*see attachment for the figure referred to

Answer:

4 units

Step-by-step explanation:

Given that [tex] tan(f) = \frac{2}{1} [/tex], therefore, it follows that:

[tex] tan(f) = \frac{opp}{adjacent} = \frac{YW}{XW} = \frac{8}{XW} [/tex],

If the ratio of YW to XW = 2:1, therefore, [tex] \frac{2}{1} = \frac{8}{XW} [/tex]

Cross multiply to find XW

[tex] XW*2 = 8*1 [/tex]

[tex] XW = \frac{8}{2} = 4 units[/tex]

Answer:

the answer is B

Step-by-step explanation:

I took the test and got it right

help!! Will mark brainliest! Thank you

Answers

Answer:

34

Step-by-step explanation:

7y - 3x

7(4) - 3(-2)

28-(-6)

34

18. Danny rolls two number cubes (dice), one red and one blue.
What is the probability that he will roll a 2 on the red cube
and a 6 on the blue cube?
a) 1
b) 2 .
6
15
c) 1
d) 1
18
36

Answers

Answer:

1/36

Step-by-step explanation:

1/6 * 1/6 = 1/36

I could really use some help with this problem. The file is attached below. Thanks!

Answers

Answer:

Step-by-step explanation:

8x³ + 2x²  -20x - 5

= (8x³ + 2x²) + (-20x - 5)

= 2x² (4x + 1) + (-5)(4x + 1)

= (2x² - 5)(4x +1 )

¿Cuál es la suma de los ángulos 1 al 6 en este paralelogramo?

Answers

Answer:

Un paralelogramo es una forma plana con lados opuestos paralelos y de igual longitud.

Step-by-step explanation:

Los ángulos "a" y "b" suman 180 °, por lo que son ángulos suplementarios. NOTA: ¡Los cuadrados, rectángulos y rombos son todos paralelogramos

Espero que esto te ayude :)


Please help on 5 to be marked the brainliest

Answers

Answer:

3,200

Step-by-step explanation:

Answer:

4000

Step-by-step explanation:

3200 x 250 = 800,000 x 0.1 = 80,000

4000 x 250 = 1,000,000 x 0.1 = 100,000

4200 x 250 = 1,050,000 x 0.1 = 105,000

5000 x 250 = 1,250,000 x 0.1 = 125,000

(3x+6) + (5x - 7) =​

Answers

Answer:

8x - 1

Step-by-step explanation:

(3x+6) + (5x - 7) =3x+6 + 5x - 7=3x +5x +6 - 7=8x - 1

Hope this helps.. Good luck!

Please help meeee > THANK YOU!!!!!

Answers

Answer:

39.   An adult male Western Banded Gecko is 5 1/2 (or 5.5) inches long.

41.    13,000 feet long, because 1 4/9 of 9,000 is 13,000.

43.  to answer the question we need to know if 35 out of 50 states is equal or greater than 3/4 if that is the case, the Constitution will be ammended, and that is represented like this:

35/50 >= 3/4

that inequality is saying that 35 states out of 50 is equal or greater than 3/4, lets simplify and modify the fractions to compare easily:

35/50 >= 3/4

7/10 >= 3/4

now we need to find the least common multiplier of 10 and 4 to take the fractions to a common denominator and compare easy. Lets multiply numerator and denominator for a correct number to get the fractions to denominator common 20, the lcm:

7/10 >= 3/4

(2/2)(7/10) >= (5/5)(3/4)

2*7/2*10 >= 5*3/5*4

14/20 >= 15/20

we can see that the inequality does not hold, so,

35/50 >= 3/4

does not hold either, therefore the Constitution cannot be ammended

40.  10 students play chess and sudoku,

30*2/5 is 12, out of 12; the number of students that play chess,5/6 play sudoku.

So..12*5/6 is 10 and that is the number of students that play both sudoku and chess.

42. Four fifths of 7/8 will be less than 7/8 (because you've multiplied by a number less than 1).

Similarly, 7/8 of 4/5 will be less than 4/5.

This means that the product will be less than each of the original factors.  

answer: no

44.  The answer is 7/12 because 3/4 - 1/6= 7/12

3/4 converts to 9/12 and 1/6 converts to 2/12. The domanaters stay the same, but 9-2=7. that is how you get 7/12

Joe bought a box of laundry detergent that contains 195 scoops. Each load of laundry
2 scoops. How many loads of laundry can he do with this one box? The box of
detergent was $19.99. How much is he paying for each load that he washes?
uses

Answers

Answer:

at least 97 loads

Step-by-step explanation:

Mario completely covered a square floor using 98.5 ft ^2 of hardwood without any overlap
Which measurement is closest to the side length of this floor in feet?
9.5 ft
10 ft
25 ft
49 ft

Answers

The answer is 10 ft. I took the test but it didn't explain why it was the answer.

Hellllllllpppppppppppppppppp

Answers

7/9

-(2/9) - ( - 1)

-(2/9) + (1)

-(2/9) + (9/9)

7/9

Answer:

7/9

Step-by-step explanation:

Since a negative times a negative is positive, -(-1) becomes + 1 so the expression becomes -2/9 + 1. Using the commutative property of addition (a + b = b + a), we can rewrite this as 1 - 2/9. 1 = 9/9 so the expression becomes 9/9 - 2/9 = 7/9.

Given that (y+2), (y+3)and (2y^2+1) are consecutive terms of an arithmetic progression find the value of x

Answers

Answer:

In an arithmetic sequence, the difference between any consecutive terms should be always the same, then we have:

(y + 3) - (y + 2) = D

(2*y^2 + 1) - (y + 3) = D.

From the first equation, we can find the value of D:

y + 3 - y - 2 = D

1 = D.

Replacing this in the second equation, we have:

(2*y^2 + 1) - (y + 3) = 1

Now we can solve this equation:

2*y^2 + 1 - y - 3 - 1 = 0

2*y^2 - y - 3 = 0.

The solutions of this quadratic equation can be found with the Bhaskara's equation:

[tex]y = \frac{1 +- \sqrt{1^2 - 4*2*(-3)} }{2*2} = \frac{1+-\sqrt{25} }{4} = \frac{1+-5}{4}[/tex]

Then the possible values of y are:

y = (1 + 5)/4 = 6/4

y = (1 - 5)/4 = -1

The direction angle of a vector is 135o. The x-component of the vector is -3. What is the y-component of this vector

Answers

Answer:

3

Step-by-step explanation:

the vector somewhat looks like this:

 ^

_\|_             the angle is 135 degrees, and the x component is -3

    |               To find the y component given the direction angle and x component, use the formula y_comp = tan(angle) * x_comp

tan (135 degrees) * -3 = 3

You can also use the graph and geometry, but that method is not recommended for beginners as it is very easy to make a mistake. The graph should be used to check if your answer makes sense.

square root of -19 in terms of i​

Answers

Answer:

i√19

Step-by-step explanation:

Because √(-19) = √(-1)√19, and because √(-1) = i, we get i√19

Joan saved $2.34 on an item that is usually $7.89. What percent did she save

Answers

(2.34/ 7.89) times 100 = ˜29.65%

What is the actual distance around the garden?It took Clare 30 minutes to walk around the garden at a constant speed

Answers

Answer:

f she walks for 30 minutes, that means she was traveling at about 280 feet per minute (8,400÷30=280), or about 16,800 feet per hour

Step-by-step explanation:

If it is 50 degrees outside and the temperature will drop 17 degrees in the next six hours, how cold will it get?

Answers

Answer:

it will drop to 33 degrees

Answer:

33 degrees

Step-by-step explanation:

Take the temperature and subtract 17 degrees

50 -17

33 degrees

PLEASE HELP HELP ASAP

Answers

Answer:

12.7311111111111 on and on

Step-by-step explanation:

Answer:

the height of the cylinder is 40 meters

Step-by-step explanation:

Use the formula they give you for the volume, and the fact that it has to equal 1000 [tex]\pi[/tex] cubic meters. Recall also that the cylinder's radius is 5 meters:

[tex]Vol=\pi\,R^2\,h\\1000\,\pi= \pi\,(5)^2 \,h\\1000\,pi=\,\pi\,25\,\,h\\h=1000\,\pi/(25\,\pi)\\h=40 \,\,m[/tex]

1 Let a = 5.2 and b = 4.7.
a Find the exact value of 3a + b3.
Xena estimates that the answer to part a is 140.
b Find the percentage error made by Xena in her estimation.

Answers

Part (a)

Replace every 'a' with 5.2 and replace every 'b' with 4.7

Then use your calculator to evaluate.

3a + b^3 = 3*5.2 + (4.7)^3 = 119.423

Answer: 119.423

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

Part (b)

The true value is 119.423 which is the result of part (a)

The estimated value is 140

Subtract the two values

140-119.423 = 20.577

and divide that over the true value

20.577/140 = 0.14697857142858

Which, when rounded to 4 decimal places, we get 0.1470

Move the decimal place over to the right 2 spots to get 14.70%

Answer: 14.70% error (approximate)

What is the curved surface area of a cylinder with radius 8cm and height 15cm 754.29cm 574.92cm 354.29cm 624.29cm

Answers

Answer:

Below.

Step-by-step explanation:

This area = circumference of the base x height

= 2 * pi * 8 * 15

= 754.29 cm^2.

Answer:

The answer is 754.29cm^2

Step-by-step explanation:

radius= 8 cm

height= 15 cm

This is an area question

The formula to calculate the curved surface area will be,:

2 pile r  times h which will be = to: 2 pile r h

2 x 22/7/3.14 x the radius which is 8 x height which is 15.

2 x 22/7 x 8 x 15 =

754.29 cm^2.

Okay.

How many pennies could you have if: When you Break de Pennies into groups of 2, you have 1 penny left over, AND when you break the pennies into groups of 3, and you have 1 penny left over, AND when you break the pennies into groups of 5, you have 1 penny left?

Answers

Answer:

The answer is 31 pennies

Step-by-step explanation:

we have to find a number that gives a remainder of 1 when divided by both 2, 3 and 5.

The easiest way to do this is to list the factors of 5, add 1 to it, and test them until we find the one with a remainder of 1 by all three divisors. This is done as follows:

1) factor: 5 (+1) = 6

6 ÷ 2 = 3 remainder 0

6 ÷ 3 = 2 remainder 0

since there is a remainder of 0, when divided by 3, 6 is wrong

2) factor; 10 (+1) = 11

11 ÷ 3 = 3 remainder 2 ( 11 is not the correct answer

3) factor : 15 (+1) = 16

16 ÷ 2 = 8 remainder 0 ( 16 is  not the correct answer

4) factor : 20(+1) = 21

21 ÷ 3 = 7 remainder 0 ( 21 is wrong)

5) factor : 25(+1) = 26

26 ÷ 2 = 13 remainder 0 ( 26 is wrong)

6) factor : 30(+1) = 31

31 ÷ 2 = 15 Remainder 1

31 ÷ 3 = 10 Remainder 1

31 ÷ 5 = 6 Remainder 1

since all three divisors give a remainder of 1, the correct answer is 31

Therefore you have 31 pwnnies

Explain why the following statements are equivalent: x + (y + 9) = (x + y) + 9

Answers

Answer:

There are no like terms hence they stay the same

Step-by-step explanation:

x + (y + 9)

There are no like terms

=x+y+9

(x + y) + 9

There are no like terms

=x+y+9

Answer:get into it

Step-by-Stefan:

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