The measure of the smallest angle of a triangle is 34 less than the measure of the largest angle of the triangle. The measure of the third angle is more than the measure of the smallest angle. Find all three measures .

Answers

Answer 1

Answer:

45degrees, 79egrees and 56degrees

Step-by-step explanation:

Complete question:

The measure of the smallest angle of a triangle is 34 less than the measure of the largest angle of the triangle. The measure of the third angle is  11 more than the measure of the smallest angle. Find all three measures .

Let the smallest angle be x

Let the largest angle be y

Let the third angle be z

Since the sum of angle in the triangle is 180, then x+y+z = 180 .. 1

If the measure of the smallest angle of a triangle is 34 less than the measure of the largest angle of the triangle, this is expressed as;

x = y - 34

y = x + 34 ..... 2

If the measure of the third angle is  11 more than the measure of the smallest angle, this is expressed as;

z = x +  11 .... 3

Substitute 2 and 3 into 1;

x + (x+34) + (x+11) = 180

x+x+x+45 = 180

3x+45 = 180

3x = 180 - 45

3x = 135

x = 135/3

x = 45 degrees

From 2;

y = x+34

y = 45 + 34

y =79degrees

From3;

z = x+11

z = 45 + 11

z = 56degrees

Hence the measure of the angles are 45degrees, 79egrees and 56degrees


Related Questions

Does anyone know how to do this?

Answers

Answer:

D

Step-by-step explanation:

The question:

10^4= 10000

4^10=1048576

1048576x10000= 10485760000

4^5= 1024

10485760000/1024= 10240000

A. 262144 (NO)

B. 2.62144e+14 (NO)

C. 10000x1073741824= 1.0737418e+13 (NO)

D. 10000x1024= 10240000 (YES)

Hope this helps ^^

Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a website.​

Answers

3 (n + 25) = 50 + 2n

Answer:

3(n + 25) = 50 + 2n

Step-by-step explanation:

5 x 3/5 = 15/5.  Simplify...

3

5(10 + 2/5 n )

50 + 10/5 n

50 + 2 n

a polygon with 189 diagonals is called​

Answers

Answer:

189 diagonals have 21 sides.

it is called hectogan take care

The length of adult King Cobra snakes is normally distributed with µ = 18 feet and σ = 2.1 feet. What is the probability that a randomly selected adult King Cobra snake be over 15.9 feet long? 85.54% 79.08% 15.87% 84.13%

Answers

Answer:

the probability that a randomly selected adult King Cobra snake be over 15.9 feet long is 84.13%

Step-by-step explanation:

The computation of the probability is shown below":

P(x>15.9) is

[tex]= P (\frac{x - \mu}{\sigma} > \frac{15.9 - 18}{2.1} )\\\\= P (z>-1)\\\\= 0.8413\\\\= 84.13\%[/tex]

Hence, the probability that a randomly selected adult King Cobra snake be over 15.9 feet long is 84.13%

We simply applied the above formula

Answer:

the probability that a randomly selected adult King Cobra snake be over 15.9 feet long which is 84.13%

Step-by-Step Explanation:

P(X 15.9). Solve for the z-score and then match it with the probability from the area under the normal curve table. Once that is found, take the complement or use symmetry to solve

Note:

Hope this helps you in the future.

Learn More:

https://brainly.com/question/6305087?referrer=searchResults

miguel walked 3/4 miles to the library and then 3/8 miles to the post office. Which statement is true?

Answers

Answer:

Post office is true because 3/4 miles is 1320 yards and 3/8 is only 660 yards. So basically it will take A LONG TIME for him to get there at the library. But you know I am not always accurate /:

Help pls?????????????????

Answers

Answer:

y=-3x-2

Step-by-step explanation:

Find the slope by picking 2points. I did (3,-3) and(0,-2) for instance and you use the y-y/x-x formula to find the slope 0-3/-2+3=-3 and the y intercept, which is -2 was found because it is the y value that corresponds to a 0 in the x.

Please help me!!!! I will give brainliest!

Answers

36=90/100 x a; 36=9/10 x a; a= 36/(9/10); a=360/9; a= 40

The Ice Cream shop served 40 customers.

Hey there!

The correct answer is 40 customers.

To solve this we can set up the following equation:

36 = .9x

(How I like to remember this is "36 = 90% of what")

Now, we solve. Divide both sides by .9:

40 = x

Have a terrificly amazing day! :D

Find the volume of the prism.

Answers

Answer:

4.32 + 1.98

Step-by-step explanation:

What is 14 percent of 87

Answers

Answer:

87x.14= 12.18

........

Answer: 12.18

Can u give me brainliest

Step-by-step explanation:

please give solutions kindly write and send pic in my whatsap no.( eight zero one seven zero zero zero nine five zero)​

Answers

Answer:

You simply take the values away from 180°.

a) 180-85-65 = 30°

b) 180-37-63=80°

c) 180-52-78=50°

d) 180-102-58=20°

e) 180-100-60=20°

f) 180-105-25=50°

g) 180-127-23=30°

A = 6x – 18°
B = 14x + 38°

Answers

the measure of A is 30 degrees

explanation:
(6x-18)+(14x+38)=180
x=8

6(8)-18=30

Answer

x = 8

<A = 30

Step-by-step explanation:

6x - 18 + 14x + 38 = 180

Like terms

20x-20=180

subtract

20x = 160

Divide

x=8

Solve for <A

6(8) - 18

Simplify

48 - 18

30

The minute hand of a clock moves from 12:10 to 12:30 a. How many degrees does the minute hand move during this time? b.How many radians does it move during this time?

Answers

Answer:

a. 120 degrees

b. 2.0944 radians

Step-by-step explanation:

From 12:00 to 12:15 there forms a 90 degree angle. If we divide this by 3 we get that every 5 minutes the hand moves 30 degrees. Since in this scenario, the minute hand moved from 12:10 to 12:30 it, therefore, moved a total of 20 minutes so we can do the following math

20 / 5min = 4 times

4 * 30 degrees = 120 degrees

We can see that in this time it moved a total of 120 degrees. Now we can use this value to turn it into radians using the degree to radians formula

degrees * [tex]\pi /180[/tex] = radians

120 * [tex]\pi / 180[/tex] = radians

2.0944 = radians

6y + 9 - 4/3y = 4y + 2/3y +12
solve this equation

Answers

Step-by-step explanation:

[tex]6y + 9 - \frac{4}{3} y = 4y + \frac{2}{3}y + 12 [/tex]

➡️ [tex]18y + 27 - 4y = 12y + 2y + 36[/tex]

➡️ [tex]14y + 27 = 14y + 36[/tex]

➡️ [tex]27 = 36[/tex]

➡️ [tex]y∈∅[/tex]

The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x?

Answers

Answer:

x = -3

Step-by-step explanation:

using the slope formula y2 - y1/x2 - x1 = 1 so

-6 - 1 / x - 4 = 1, so -7/-7 = 1 so x has to be -3 to make the bottom = -7

Find the quotient (PLEASE HELP)

Answers

[tex]{ \dashrightarrow{ \sf{ \green{ \frac{ {x}^{2} - 5x - 36}{x + 2} \div ( {x}^{2} - 18x + 81)}}}} \\ \\ \\ \\ { \dashrightarrow{ \sf{ \green{ \frac{( {x}^{2} - (9x - 4x)- 36)}{x + 2} \div ( {x}^{2} - (9x + 9x) + 81)}}}} \\ \\ \\ { \dashrightarrow{ \sf{ \green{ \frac{ {x}^{2} - 9x + 4x - 36 }{x + 2} \div( {x}^{2} - 9x - 9x + 81)}}}}[/tex]

[tex]{ \dashrightarrow{ \sf{ \green{ \frac{x(x + 4) - 9(x + 4)}{x + 2} \div (x(x - 9) - 9(x - 9))}}}} \\ \\ \\ { \dashrightarrow { \sf{ \green{ \frac{(x + 4)(x - 9)}{(x + 2)} \div ((x - 9)(x - 9))}}}} \\ \\ \\ { \dashrightarrow{ \sf{ \green{ \frac{( x + 4)(x - 9)}{(x + 2)(x - 9)(x - 9)}}}}} [/tex]

[tex]{ \dashrightarrow{ \underline{ \sf{ \green{ \frac{(x + 4)}{(x + 2)(x - 9)}}}}}} \\ \\ \\ [/tex]

Please help!
Find the value of x for which d II m
Simplify answer.type integer or a fraction

Answers

X=44.5. A straight line is 180. So do 180=2x-21+93. 93 is from 180-87

Step-by-step explanation:

✧ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T \: I \: O \: N}}}} : [/tex]

~Set up an equation and solve for x :

[tex] \large{ \tt2x \degree - 21 \degree = 87 \degree}[/tex] [ Being alternate angles ]

Since we want to get rid of constant on left hand side , add 21 on both sides :

⟿ [tex] \large{ \tt{2x - 21 \degree + 21 \degree = 87 \degree + 21 \degree}}[/tex]

⟿ [tex] \large{ \tt{2x \degree = 108 \degree}}[/tex]

Divide both sides by 2

⟿ [tex] \large{ \tt{ \frac{2x}{2} = \frac{108}{2} \degree}}[/tex]

⟿ [tex] \large{ \tt{x = 54 \degree}}[/tex]

☥ [tex] \boxed{ \boxed{ \large{ \text{Our \: Final \: Answer : } \underline{ \tt{x = 54\degree}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ♪

☄Let me know if you have any questions regarding my answer! ツ

[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}} [/tex] !! ✎

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¿ ʇᴉ ǝʌlos noʎ uɐɔ

[tex] {12}^{2} + {5}^{2} = x[/tex]

Answers

Answer:

x= 169

Step-by-step explanation:

12*12= 144

5*5= 25

x= 144+25

x= 169

....

Answer:

here's the solution :-

=》

[tex]x = {12}^{2} + {5}^{2} [/tex]

=》

[tex]x = 144 + 25[/tex]

=》

[tex]x = 169[/tex]

24. Pe un cerc sunt dispuse 2014 numere reale, fiecare având modulul 11. Se face suma celor 2014 produse de câte patru numere dispuse consecutiv pe cerc. Atunci suma este

Answers

Answer:

Co czekało na tych co brali udział w powstaniu listopadoCo czekało na tych co brali udział w powstaniu lisCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać zCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strCo czekałCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)ać ze strony cara?)o na tych co bCo czekało Co czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać zeCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze stCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)rony cara?) strony cara?)na tyCo czekało na tych co brali udział w Co czekało na tych co brali udział w powstaniCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)u listopadowym? (czego mogli się spodziewać ze strony cara?)powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)ch co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze stCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)rony cara?)rali udCo czekało na tych co brali udział w powstaniuCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?) listCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)opadowym? (czego mogli się spodziewać ze stCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)rony cara?)ział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)ony cara?)e stronyCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?) cara?)topadowym? (czego mogli się spodziewać ze stCo czekało na tych co brali udział w powstaniu listopadowym? (czego mogli się spodziewać ze strony cara?)rony cara?)wym? (czego mogli się spodziewać ze strony cara?)

Five percent of canned goods get bumps or dents in the cans during manufacturing. Let X = the number of cans that are inspected before one with a bump or dent is found.

What is the mean and standard deviation of X?

Mean =

Standard deviation =

Answers

Answer:

Mean = 20

Standard deviation = 19.494

Step-by-step explanation:

I got it right.

An engineer is planning a new water pipe installation. The circular pipe has a diameter of d=20\text{ cm}d=20 cmd, equals, 20, start text, space, c, m, end text. What is the area AAA of the circular cross section of this pipe?

Answers

Answer:

314.2 cm²

Step-by-step explanation:

The area of the circular cross section of the pipe is given by A = πd²/4 where d = diameter of pipe = 20 cm

So, A = πd²/4

substituting the value of d into the equation, we have

A = π(20 cm)²/4

A = π400 cm²/4

A = 100π cm²

A = 314.16 cm²

A ≅ 314.2 cm²

Answer:

100pi

Step-by-step explanation:

Select the statement that can be represented by -10 dollars.

Answers

Can we see the statement plz

Show all of your work.
a Jon works at T-Shirts R Us. Yesterday, he unpacked 36 boxes of new shirts. Each
box had 24 shirts in it. How many shirts did he unpack?

Answers

864 shirts :) 36x 24

For brainiest:):):):):):):):)

Answers

1) 72 inch
2) 3ft
3) 120 cm
4) 12yd

I need help with my math I currently have a C in math and I need my grade up can any of you guys help me ASAP?

Answers

just divide the numerator by the denominator to get a decimal.
6/10 = 0.6
3/25 = 0.12 and so on

Answer:

All you got to do for all the questions is divide them.

For example:

For the first one its 6/10 so all you gotta do is go on your calculator and press

6/10 and you will get 0.6 which is the answer This is the answer to the question on the worksheet. For the second one its 3/25 so all you got to do is go in your calculator and press 3/25. You will get 0.12 which is your answer. I hope this helped and I hope your grade improves!!! Good Luck!

Step-by-step explanation:

Georgia makes trail mix by mixing fruit
and nuts in a ratio of 3 to 2. If Georgia
mixes in 18 ounces of fruit, how many
Ounces of nuts should she add?

Answers

Answer: 12 ounces

Step-by-step explanation:

Let the ounces of fruits that should be added be represented by x.

Based on the information given in the question, this can be represented by:

3/2 = 18/x

Cross multiply

3 × x = 18 × 2

3x = 36

x = 36/3

x = 12

Therefore, 12 ounces of nuts should be added.

what is the answer to 7(2x + 9)

Answers

Answer:

14x + 63

Step-by-step explanation:

[tex]7(2x+9)\\\\14x+63\\\\\left \{ {{7*2x=14x} \atop {7*9=63}} \right.[/tex]

Hope this helps.

∆ XYZ ≅ ∆ MNL

Find XY

Answers

95 because if you do the math you’ll get the answer

The length of XY is 8.

What are congruent triangles?

When a triangle has precisely the same three sides and precisely the same three angles, it is said to be congruent.

Given that, the triangles ΔXYZ and ΔMNL are congruent.

Therefore, XY≅MN.

Since MN = 8, it follows XY =8.

Hence, the length of XY is 8.

Learn more about congruent triangles:

https://brainly.com/question/22062407

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In the story "The Most Dangerous Game." General Zaroff is the character foil for
.

Answers

Answer:

I believe it is Whitney Rainsford

In the story "The Most Dangerous Game." General Zaroff is the character foil for  

Step-by-step explanation:

Rainsford

Should be the second one

The area of a sector with a central angle of 30' is 150'. Determine the approximate length of the diameter.

Answers

Answer:

It looks different. Can you provide some formulae based on it. I may help you out in the comment section!

The diameter of the circle is 48 in.

What is a Sector?

A circle's sector is a pie-shaped portion made up of the arc and its two radii. At both ends of the arc, when a section of the circle's circumference (also known as an arc) and two of its radii meet, a sector is produced. A sector of a circle resembles a piece of pizza or a pie in shape.

As per the given data:

Central angle of the sector (θ) = 30°

Area of the sector (A) = 150 in²

A = (1/2) × r² × θ {where θ is in radian and r is radius}

Converting 30° to radian.

= 30 × (π/180)

= π/6

150 = (1/2) × r² × π/6

r = √(1800/π)

r = √(576)

r = 24 in

Diameter = 2r

= 2 × 24 in

= 48 in

Hence, the diameter of the circle is 48 in.

To learn more about the sector, click:

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The conference had 45 people and it increased by 40% the second day. How many more people came on that second day?

Answers

Answer:

Number of people in the conference on first day = 45

It increased by 40% the second day.

To find:

The number of people in the conference on second day.

Solution:

The conference had 45 people and it increased by 40% the second day. So,

Number of people in the conference on second day [tex]=45+40\%\ of\ 45[/tex]

                                                                                        [tex]=45+\dfrac{40}{100}\times 45[/tex]

                                                                                        [tex]=45+18[/tex]

                                                                                        [tex]=63[/tex]

Therefore, the number of people in the conference on second day is 63.

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