The sum of the measures of the angles of a triangle equals 180°. Write and solve an equation to find the measure of the missing angle.

The Sum Of The Measures Of The Angles Of A Triangle Equals 180. Write And Solve An Equation To Find The

Answers

Answer 1

Answer:

108.9

Step-by-step explanation:

30.3 + 40.8= 71.1

180 - 71.1= 108.9

Answer 2

The measure of unknown ∠m is equal to 108.9°.

What is triangle inequality theorem?

According to the triangle inequality theorem the sum of the length of any two sides will always be greater than the third side. Mathematically -

(a + b) > c

Given is a triangle with its angle measurements.

We know that the sum of the angles of a triangle is equal to 180 degrees.

Therefore, we can write -

∠m + 30.3° + 40.8° = 180°

∠m = 180° - 71.1°

∠m = 108.9°

Therefore, the measure of unknown ∠m is equal to 108.9°.

To solve more questions on triangles, visit the link below-

https://brainly.com/question/24005690?referrer=searchResults

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Related Questions

The equation [BLANK] has no solution.

ANSWERS:

13y+2-2y=10y+3-y

9(3y+7)-2=3(-9y+9)

32.1y+3.1+2.4y-8.2=34.5y-5.1

5(2.2y+3.4)=5(y-2)+6y

Answers

Answer:

5(2.2y+3.4)=5(y-2)+6y has no solution

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The third one down.

32.1y+3.1+2.4y-8.2=34.5y-5.1

Combine like terms

34.5y + 3.1 - 8.2 = 34.5y - 5.1

34.5y - 5.1 = 34.5y - 5.1              y can be anything

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

Remove the brackets from D

11y + 17 = 5y - 10 + 6y

11y + 17 = 11y - 10

This gives 17 = - 10 which of course is nonsense.

D has no solution.

The function yields the average cost in dollars for a company to produce x copies of a comic book. Which statement best fits the situation modeled by the function? The company earns 20% of the issue price as profit from each copy sold. The company earns 20 cents as profit from each copy sold. The company spends 20% of the issue price on materials to produce each copy. The company spends 20 cents on materials to produce each copy.

Answers

Answer: 20cents

Step-by-step explanation;

Company spends 20 cents on materials to produce each copy

f(x) represents the average cost in dollars for a company

x represents the number of copies of comic produced by company.

Total cost in dollars for a company = 80,000 + 0.2x

Since, x is the number of copies of comic produced ,

0.2x indicates that it spends $0.2 on material to produce each copy.

Use conversion:

1 dollars = 100 cents

0.2 dollars = 20 cents.

Answer:

The correct option is D the company spends 20 cents on materials to make each copy

Step-by-step explanation:

Please help Asap!
Can anyone help and explain it please!

Answers

Answer:

9

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

set up a proportion

10/15 = 6/x

(or 12/18 = 6/x)

cross multiply:

10x = 90

x=9

Felice swims 3 times every 7 days.
How many times will she
swim in 28 days?

Answers

Answer:

12 times.

Step-by-step explanation:

If she swims three times a week, then you need to find how many weeks make up 28 days. 28/7= 4 weeks. Since she swims three times a week, you multiple that by the amount of weeks, which is four. You get that she swims 12 times in 28 days.

question in the image

Answers

Answer 6.

Step-by-step explanation:

Answer:

A.) 1

Step-by-step explanation:

A trapezoid only has one pair of parallel sides.

Find the slope of the line through points (3, -8) and (0.4). *​

Answers

Answer:

slope is -4

Step-by-step explanation:

To find the slope with points, you do (y2-y1)/(x2-x1)

4-(-8)=12

0-3=-3

12/-3=-4

M=-4
Pls mark me brainliest

Find the equation of the vertical line that passes (-2,-9)

Answers

Answer:

x = -2

Step-by-step explanation:

That's really it, since it's a vertical line.

Answer:

The equation of vertical line, parallel to y-axis is

x + k=0

Here, the line passes through the point (–2,–9)

So, –2 + k = 0

=> k = 2

The required equation be, x + 2 = 0

Audrey has already scored 53 points,and scored 22 more points with every coin she collects.How many coins does Audrey have to collect to score a total of 97 points​

Answers

Answer:

Audrey needs to collect 3 more coins.

Step-by-step explanation:

Since she already scored 53 points, we have to find out how many more points she needs to score 97.

So, 97-53=45 points.

The problem says that each coin Audrey collects is worth 22 points. Therefore, 45 divided by 22= 2 remainder 1. However, if she only collects two more coins, Audrey will only have 96 points in total, not 97.

So, add another coin to make 3.

Find the area, in square units, of triangle ABC plotted below.

Answers

Answer:

Area of ΔABC = 10 square units

Step-by-step explanation:

Distance between the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is represented by,

d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Length of AB = [tex]\sqrt{(-4-2)^2+(-6+8)^2}[/tex]

                      = [tex]\sqrt{36+4}[/tex]

                      = [tex]2\sqrt{10}[/tex]

Length of CD = [tex]\sqrt{(-6+7)^2+(-2+5)^2}[/tex]

                      = [tex]\sqrt{1+9}[/tex]

                      = [tex]\sqrt{10}[/tex]

Area of a triangle ABC will be represented by the formula,

Area = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

        = [tex]\frac{1}{2}(AB)(CD)[/tex]

        = [tex]\frac{1}{2}(2\sqrt{10})(\sqrt{10})[/tex]

        = 10 square units

Answer:

10 square units

Step-by-step explanation:

The average sneeze can travel 3100 mile in 3 seconds. At this rate, how far can it travel in one minute? (3 seconds = 120 minute)

Answers

Answer:

20666.6?

Step-by-step explanation:

3100/3= 1033.33

1033.33*20

20666.6

The price of Stock A at 9 A.M. was ​$15.81. Since​ then, the price has been increasing at the rate of ​$0.12 each hour. At noon the price of Stock B was ​$16.56. It begins to decrease at the rate of ​$0.15 each hour. If the two rates​ continue, in how many hours will the prices of the two stocks be the​ same?

Answers

Answer:

250.890

Step-by-step explanation:

Solve the proportion for n. 36/8 = n/4

Answers

Answer:

N = 18

Step-by-step explanation:

Answer:

18/4

Step-by-step explanation:

Which method can be used to prove that AJKL is congruent to AJML?
SSS
OHL
SAS
ASA

Answers

Answer:

it is SAS

Step-by-step explanation:

side angle side

triangle JKL is congruent to triangle JML

because they have two equal sides:

JL whitch is common in both of them and ML equal to KL

and the included angles are equal.

Please helpppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

Here you go :)

Hey, don't sweat it, this is relatively simple.

0 = $0

1 = $400

2 = $800

3 = $1400

________

Answered by James

Step-by-step explanation:

Just keep adding my friend

I need your help for this!

Answers

Answer:

1+1=78993939939

Step-by-step explanation:

1x1= 0 (-_<)

Kiaya has to have at least $100 in her checking account to avoid a fee from the bank. She has $376 in her account now. Each week, she makes a $25 withdrawal. For how many weeks can she make this withdrawal and avoid a fee?

Answers

Answer:

11 weeks

Step-by-step explanation:

Kiaya has $376 but can only withdraw $276 before being charged by the bank.

First I subtracted the $100 she can't spend from $376.

-She has a total of $276 she can spend without being charged.

Next, I divided $276 by $25 (the amount she withdraws every week)

- The total is 11.04

This means she has 11 Weeks before she will have to pay the fee.

Hope I helped you out!! :)

Convert 890 / 110 into a mixed number

Answers

Answer:

8 and 1/11.

Step-by-step explanation:

Answer:

8 1/11

Step-by-step explanation:

Hope this helps!!

Just in case :

(8 and 1/11)

the linear tower of pisa is 804 feet shorter than the eiffel tower. the two towers have a total height of 1164 feet. How tall is each tower?​

Answers

Answer:

eiffel tower - 984ft

leaning tower of pisa - 180

Step-by-step explanation:

2x+804=1164

   -804    -804

2x = 360

divide both sides by 2

x = 180

eiffel - 180 + 804

pisa - 180

The closest distance towards Venus to the Sun is about 46,000,000 kilometers.The closest distance from Neptune to the Sun is about 4.5 x 10^9 kilometers. About how many times closer to the Sun is Venus than Neptune? Write your answer in standard notation

Answers

Answer:

Neptune is 45 million so 1 million difference

An archway in front of a school is in the shape of a parabola. The top of the arch is the vertex (0,0). The school seal is at the focus, 2.5 feet below the vertex, and the arch is 18 feet wide at the ground

Answers

Answer:

a) The equation of the arch is [tex]y = -10\cdot x^{2}[/tex].

b) The height of the arch from the ground is 810 feet.

Step-by-step explanation:

Statement is incomplete. Complete statement is:

An archway in front of a school is in the shape of a parabola. The top of the arch is the vertex (0,0). The school seal is at the focus, 2.5 feet below the vertex, and the arch is 18 feet wide at the ground.

Write an equation  that represents the arch.

What is the height from the top of the arch to the  ground?

a) Write an equation that represents the arch.

According to the statement, the archway is a vertical downward parabola. From Analytical Geometry we know that parabolas are represented by the following equation in standard form:

[tex]y-k = 4\cdot p\cdot (x-h)^{2}[/tex] (Eq. 1)

Where:

[tex]p[/tex] - Distance between vertex and focus, measured in feet.

[tex]x[/tex] - Independent variable, measured in feet.

[tex]y[/tex] - Dependent variable, measured in feet.

[tex]h[/tex], [tex]k[/tex] - Coordinates of the vertex, measured in feet.

If we know that [tex]p = -2.5\,ft[/tex], [tex]h = 0\,ft[/tex] and [tex]k = 0\,ft[/tex], then the equation that represents the arch:

[tex]y = -10\cdot x^{2}[/tex]

The equation of the arch is [tex]y = -10\cdot x^{2}[/tex].

b) What is the height from the top of the arch to the  ground?

Given that parabola is a symmetrical curve, we determine the vertical position at the base of the arch ([tex]x = 9\,ft[/tex]):

[tex]y_{min} = -10\cdot (9\,ft)^{2}[/tex]

[tex]y_{min} = -810\,ft[/tex]

Then, the height of the arch from the ground is given by this difference:

[tex]h = 0\,ft-(-810\,ft)[/tex]

[tex]h = 810\,ft[/tex]

The height of the arch from the ground is 810 feet.

A store owner wants to develop a new snack mix by mixing banana chips and raisins. How many pounds of banana chips costing $7.70 per pound should be mixed with 18 pounds of raisins costing $4.30 per pound to create a mixture worth $5.73 per pound?

Answers

Let c = the pounds of chocolate needed.
The weight of the snack mix is c + 13.

16.2c + 4.1(13) = 9.65(c + 13)
16.2c + 53.3 = 9.65c + 125.45
6.55c = 72.15
c = 11 lbs

Please Help! Solve this problem according to the directions.

Answers

I think based of the instructions it would be 6x^2 + 5x

Solve the given system using matrices.
x + 3y + 2z = 4
-4x - 2y + 5z = 3
2x + 2y + z = 7
x=
y=
z=
Enter answers with no spaces.
I RLLYYYY NEED HELP YALL

Answers

Answer:

X = 64/19

y equals -2/19

z =9/19

Step-by-step explanation:

its very hard to type in the explanation but I know the answer is right trust me I do a level maths

HELP ME THX I don't want to fail...

Answers

Answer:

EF = 11

JK = 32

Step-by-step explanation:

Because the average of  10 and 12 is 11, therefore that would be the answer, since EF has a slite angle, finding the average of the largest side length and the opposite side would be the best way to find it.

Because the average of 28 and 36 is 32 your answer would be 32, this is from adding both lengths on LJ, which is 12 and 24, I added them to get 36, then found the average, the average was 36,  meaning that this was your answer.

plz answer if u can :P

Answers

Answer:

d

Step-by-step explanation:

sqaure root of both times each other gives 5

D is the correct answer for your question it’s correct

what is the slope of the line that passes through (-3,-1) and (-5,5)​

Answers

Answer:

[tex]m=-3[/tex]

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Simply plug in the 2 coordinates into the slope formula to find slope m:

[tex]m=\frac{5-(-1)}{-5-(-3)}[/tex]

[tex]m=\frac{5+1}{-5+3}[/tex]

[tex]m=\frac{6}{-2}[/tex]

[tex]m=-3[/tex]

What is the vertex of the quadratic equation? y=(x+6)^-4

(6,-4)
(6,4)
(-6,-4)
(-6,4)

Answers

The vertex of this function should be (6,-4). Since the function is in vertex form.

5 Which expression is represented on the number line?

ASAP

Answers

B

It goes back -2, 8 times.

Hope this helps ;)

What is the total cost of a piano that costs $1200 with a markup of 75%

Answers

Answer:

900

Step-by-step explanation:

2100
Because it’s a markup which means the price will go up so you multiply 1200 by .75 to get 900 is 75% of 1200 then you add the 900 to 1200 to get 2100

Jackson wants to divide a 2/5 pound box of trail mix into small bags. Each of the bags
will hold 1/10 pound of trail mix. How many bags of trail mix can Jackson fill?

Answers

Answer:

4 bags.

Step-by-step explanation:

1/10 is already good, but you need to multiply 2/5 by 2 to get 4/10, and then it's self-explanatory from there

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