The three angles of a triangle measure 2x – 6, 3x + 5, and 2x + 20. What is the measure of the smallest angle in degrees

Answers

Answer 1

Answer:

Smallest angle = 40

Step-by-step explanation:

Angle sum property:Sum of all three angles of triangle is 180

2x - 6 + 3x + 5 + 2x + 20 = 180   {Combine like terms}

2x + 3x + 2x - 6 + 5 + 20 = 180

                     7x  + 19       = 180            {Subtract 19 from both sides}

                                  7x = 180 - 19

                                  7x = 161               {Divide both sides by 7}

                                    x = 161/7

x = 23

2x - 6 = 2*23 - 6 = 46 - 6 = 40

3x + 5 = 3*23 + 5 = 69 + 5 = 74

2x + 20 = 2*23 + 20 = 46 + 20 = 66

Smallest angle = 40


Related Questions

Ralph bought some oranges. The weight of the oranges was 2.5 kilograms. How many grams is this? 25,000 g 0.025 g 0.0025 g 2,500 g

Answers

Answer:

2,500

Step-by-step explanation:

The weight of the oranges was 2.5 kilograms, the number of grams is,  2500g. So Option D is correct.

What are Units ?

To measure and compare various things we use one term which is known as a unit. When all of the measuring units are the same, comparison is simple. Depending on their intended usage, different units can be categorised.

For example, for  length measurement we use units like:- meter, centimeter, inch, miles.

Given that,

Ralph bought some oranges.

The weight of the oranges was 2.5 kilograms.

The number of grams = ?

It is known that,

1 kilogram = 1000 gram

so 2.5 kg will be equal to

⇒ 2.5 x 1000

⇒ 2500 g

Hence, the number of grams is 2500g

To know more about Units check:

https://brainly.com/question/30168372

#SPJ6

Bosian was converting Gallons to Quarts. He said that he had 5 gallons. Bosian said that 1 gallon 5 quarts so 5 gallons is 5 What does Bosian do wrong? How do you correct it? ​

Answers

Answer:

Bosian used the wrong conversion for converting Gallons to Quarts. The correct conversion is: 1 gallon = 4 Quarts and correct solution is: 5 gallon = 20 quarts

Step-by-step explanation:

Bosian Conversion from Gallons to Quarts

He had 5 gallons

He said that 1 gallon = 5 quarts

So, 5 gallons = 5*5 = 25 quarts

Mistake of Bosian:

He used the wrong conversion: i.e, 1 gallon = 5 quarts

The correct conversion is:

1 gallon = 4 quarts

Correct Solution:

1 gallon = 4 quarts

So, 5 gallons = 5*4 = 20 quarts

May someone please help this is due a 9:59pm. I have connected a pic.

Answers

Answer:Your poopoo

Step-by-step explanation:

What is the greatest common factor of 12, 36, 18????

Answers

Answer:

6

Step-by-step explanation:

4x+3y<12 what’s the answer?

Answers

The answer would be y<-4/3x+4 if it’s 4x+3y<12 if it’s 4x+3y=12 the answer would be y=-4/3x+4. I don’t know what your implying but &12 so if it didn’t help I’m sorry. If this helped please mark me branliest

The area of a rectangle with length l and width w is lw. Greg is getting a new hardwood floor in his rectangular dining room. The room is 14 feet long and 11 feet wide. What is the area of the dining room floor? Write your answer as a whole number or decimal.

Answers

Area = lw

Area = 14 x 11

Area = 154 square feet

Once a month volunteers from the Green Sea Club clean up litter at the beach. Last month, the volunteers picked up 8 pounds of trash in 4 hours. This month, the same group of volunteers will spend 3 hours picking up trash.

Answers

Answer: 6

Step-by-step explanation: :)

Answer:

6

Step-by-step explanation:

A lasagna recipe calls for 3 and 3/4 cup of tomato sauce DeMarco already has 1 and 1/4 cups of tomato sauce he wants to know how many more cups of tomato sauce he needs. Let y be the number of cups of tomato sauce DeMarco still needs.

Answers

Answer: DeMarco still needs 2 1/2 cups of tomato sauce.

Step-by-step explanation:

Solve for 3 3/4 cups (needed) - 1 1/4 cups (have).

2 2/4 cups

Simplify:

2 2/4 -> 2 1/2 cups

Answer:

DeMarco needs 2 2\4 cups more tomato sauce

Step-by-step explanation:

1 1\4+y=3 3\4

subtract 1 1\4 from both sides

y=2 2/4

If lilian finds 1,000,000 balls on the beach and spends 95 hours finding the balls by herself if she has 3 friends helping her how long will they get done

Answers

Answer:

New time to find all balls = 23.75 hours

Step-by-step explanation:

Given:

Total time = 95 hour

Total people = 1 Lillian + 3 friends = 4

Find:

New time to find all balls

Computation:

New time to find all balls = 95 / 4

New time to find all balls = 23.75 hours

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

4/3 all I can tell u

HELP ASAP PLEASE
A plane flies at 350 mph in the direction N 40° E with a wind blowing at 40 mph in the direction S 70° E. What is the plane’s drift angle?

5.89°
6.38°
45.89°
46.38°

Answers

Answer:

The correct option is;

5.89°

Step-by-step explanation:

The speed with which the plane flies = 350 mph

The direction of flight of the plane = N 40° E

The speed with which the wind blows = 40 mph

The direction in which the wind blows = S 70° E

Therefore, we have;

The resolution of the components of the motion of the plane, given as follows;

[tex]S_{Plane}[/tex] = 350 × sin(40°)·i + 350 × cos(40°)·j

The resolution of the components of the motion of the wind, given as follows;

[tex]S_{Wind}[/tex] = 40 × sin(70°)·i - 40 × cos(70°)·j

The resultant motion of the plane is given as follows;

[tex]R_{Plane}[/tex] = 262.563·i + 254.435·j

The direction of motion of the plane = tan⁻¹(262.563/254.435) ≈ N 45.9° E

Therefore, the plane's drift = Plane's Track - Plane's Heading  = N 45.9° E - N 40° E ≈ 5.9° ≈ 5.89°

Therefore, the correct option is 5.89°.

Answer:

5.89

Step-by-step explanation:

so u don't have to look at that long one lol.

Find the solution to the following system using substitution or elimination:

y= - 4x + 9
y = 3x - 5

A. (1,5)

B. (2,1)

C. (14, 37)

D. (1,-2)

Answers

Answer:D(2,1)

Step-by-step explanation:

Answer:

D. (2,1)

Step-by-step explanation:

Yes It is correct I took the test and got a 100%

help please and thanks

Answers

c

I saw this test my cousin had it

Five people are at a party. Everyone shakes hands once with everyone else. How many handshakes are there? Show your
work.

Answers

Answer:

they exchanged 25 handshakes total

Step-by-step explanation:

5 x 5 = 25

May I have brainliest please? :)

please help me !!! please

Answers

Answer:

x= c/14

Step-by-step explanation:

add 8 to both sides of the equation, then simplify, next divide both sides of the equation by the same term, and finally simplify again.

Write an
equation of a line that passes through each pair of points.
(-2,6) (0,0)

Answers

Answer: y= -3x

(there is no y-intercept in the points you listed so if you can find one on a picture of your question, do so. but since i do not see a given y-intercept, i assume it is 0)

To find the slope, use the two points given.

1st: subtract the y-values. 0-6= -6.

2nd: subtract the x-values. 0-(-2)= 2

3rd: you have -6/2.

4th: simplify to get a slope of -3.

How many different ways can you place 4 identical marbles in three jars shown below? Note: Every marble needs to be in one of the jars, but not every jar needs to have a marble in it.

Answers

Answer:

3 ways

Step-by-step explanation:

How many different ways can you place 4 identical marbles in three jars shown below? Note: Every marble needs to be in one of the jars, but not every jar needs to have a marble in it.

We solve using combination

n-1 C r-1 = nCr = n!/r! (n - r)!

n = 4 identical marbles

r = 3 jars

Hence:

4 - 1 C 3 - 1 = 3C2

= 3!/2! (3 - 2)!

= 3 ways

g(n) =-n + 2
How can I find the inverse of this equation?

Answers

Answer:

[tex]\mathrm{Inverse\:of}\:-n+2:\quad 2-n[/tex]

Step-by-step explanation:

Given the function

[tex]\:g\left(n\right)\:=-n\:+\:2[/tex]

As we know that a function g is the inverse of function if for [tex]y=f\left(x\right),\:\:x=g\left(y\right)\:[/tex]

[tex]y=-n+2[/tex]

Replace n with y

[tex]n=-y+2[/tex]

Solve for y,

[tex]n=-y+2[/tex]

[tex]y=2-n[/tex]

Therefore,

[tex]\mathrm{Inverse\:of}\:-n+2:\quad 2-n[/tex]

$12; 20% increase (sample answer: $1, make sure to put the dollar sign in
front of the number)

Answers

Answer: $14.40

Step-by-step explanation:

The question simply asks us to calculate the value of a 20% increase in $12. This will be:

= $12 + (20% × $12)

= $12 + (20/100 × $12)

= $12 + (0.2 × $12)

= $12 + $2.40

= $14.40

A 20% increase in $12 will give $14.40

HELP!!! this is due today and i’m super dumb all help is much appreciated!

Answers

Answer:

No

Step-by-step explanation:

It is never a right triangle unless it says so, it normally has a little square box thing on the angle that is right

$1.08 as a decimal and fraction

Answers

Answer:

as a fraction?

27/25

or

1 2/25

Step-by-step explanation:

need the answer please

Answers

Needed points sorry hdjdjdjdjdjd

Answer:

Slope =-1/2

P1 (0,4)

P2(-2,5)

Step-by-step explanation:

Slope:

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

=(3-6)/(2+4)

=-3/6

m=-1/2 = -0.5

Now finding the equation of the line passing through the 2 points:

3 = -1/2 * 2 +q

3 = - 1 +q

q=4

eq. y= -(1/2)x + 4

Let's find 2 other points

x=0

y= - 1/2 *0 +4 =4

(0,4)

x= -2

y= - (1/2)*(-2) +4 = 1+4 = 5

(-2,5)

I was earning $47,000 per year until she received a 7% raise at the start of 2019. What will her new salary be? Write a proportion and show how you solved.

Answers

Answer:

$50,290

Step-by-step explanation:

I was earning $47,000 per year until she received a 7% raise at the start of 2019.

Step 1

We find how much 7% raise is

Hence,

7 % of $47,000

= 7/100 × $47,000

= $3290

What will her new salary be?

Her new salary is calculated as:

Last year's salary + 7% raise

= $47,000 + $3290

= $50,290

Her new salary is $50,290

richard mows 1/3 of his yard in 2/5 hour. at that same rate how much of his yard would Richard mow in 1 hour

Answers

Answer: he would mow 13/15 of his lawn in one hour

Step-by-step explanation:

Do 1/3 and 2/5 into, 5/15 and 6/15

What’s the answer to this? Only if you know it though!!

Answers

Answer:

ASA congruence (A)

Step-by-step explanation:

These triangles have a congruent side in between two congruent angles; this meets the criteria for ASA congruence.

HTH :)

7 in
9 in
5 in
what is the volume

Answers

Answer:

157.5

Step-by-step explanation:

A board 75 cm long is cut into two parts such that one part is 15 cm more than the other. How long is each part?

Answers

Answer:

30 cm, and another is 45 cm.

Step-by-step explanation:

First, we need to subtract 15 from 75, giving us 60. Then, we divide 60 by 2, giving us 30, which is the length of one part. We add 15 back to 30, which gives us 45. One part is 30 cm and the other is 45 cm

i need help wiht math

Answers

Answer:

Is that all you need help with or you need help with more?

Step-by-step explanation:

Subtract (3x +5y-4)-(4x+11)

Answers

Answer:

-x + 5y + 7

-This should be the answer

PLEASE HELP ME IM TIMED​

Answers

Answer:

Step-by-step explanation:

-2/3x+9=4/3x-3=

x=6

Answer:

[tex]x=6[/tex]

Step-by-step explanation:

We have the equation:

[tex]-\frac{2}{3}x+9=\frac{4}{3}x-3[/tex]

First, we can remove the fractions by multiplying both sides by 3. Therefore:

[tex]3(-\frac{2}{3}x+9)=3(\frac{4}{3}x-3)[/tex]

Distribute:

[tex]-2x+27=4x-9[/tex]

Subtract 27 from both sides:

[tex]-2x=4x-36[/tex]

Subtract 4x from both sides:

[tex]-6x=-36[/tex]

Divide both sides by -6:

[tex]x=6[/tex]

Hence, the value of x is 6.

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