En un triángulo, dos de sus ángulos internos miden 40º y 55º. Hallar la medida de su tercer ángulo interno.

Answers

Answer 1

Answer:

La medida del tercer ángulo interno es 85°.

Step-by-step explanation:

Los triángulos son figuras geométricas planas que poseen tres lados en contacto entre sí en puntos comunes denominados vértices. A su vez, los triángulos poseen tres ángulos interiores. Estos tres ángulos interiores del triángulo suman 180°.

En este caso, en un triángulo, dos de sus ángulos internos miden 40º y 55º. Siendo θ el tercer ángulo interior, entonces:

θ + 40° + 55°= 180°

Resolviendo:

θ + 95°= 180°

θ= 180° - 95°

θ=85°

La medida del tercer ángulo interno es 85°.


Related Questions

Which letter matches the coordinate (4, -6)?
Helpppp plsss

Answers

Answer:The answer is z

Step-by-step explanation:

(11.5) - (-11.5)
Jamal says he thinks the answer is 23. His friend, Reggie, claims the
answer will be 0.
Do you agree with either of them?
explain as long as you can

Answers

Answer:

Jamal is correct.

Step-by-step explanation:

(11.5) − (−11.5)

=11.5 − (−11.5)

=11.5 + 11.5

=23

I agree with Jamal because Reggie was doing subtract a positive by a positive but the question is a positive minus a negative, by doing absolute value you can see they both have the same value just inverse so in this case the answer would be a positive

help please ASAPPPPP

Answers

Answer:

the height is 11 units the base is 12 units and the area is (i think) 84

PLEASEEE HELPPP its due in 10 mins PLSSS

Answers

Answer:

About 525 times.

Step-by-step explanation:

You have a 5 in 8 chance of getting a consonant originally. You should try to find an equal ratio except with 840 as the second number. As of now it's      5/8 = ?/840

8 is a factor of 840 and if you divide 840 by 8 you get 105. If you actually think about it 105/840 would be an equal ratio to 1/8 so you multiply 108 by 5 to get 525.

SOMEONE PLEASE HELP ME

1. Simplify the expression
(b^6)^9

2. Rewrite as a base to a power, if possible

7^9/7^2

Answers

Answer:

1) b⁵⁴

2) 7⁷

Step-by-step explanation:

When you have an exponent raised to an exponent, like in #1, you simply multiply the exponents.

When you are dividing two numbers with exponents and they have the same base, like in #2, you subtract the denominator exponent from the numerator exponent.

HELP PLZZ HURRY IMA GET A ZERO

Answers

Answer:

m∠G= 180° - ( 59+77 )°

Step-by-step explanation:

PLEASE HELP! No random links.

Answers

I believe the answer would be D.

Answer:

B and F are non-statistical questions

Step-by-step explanation:

B is asking how many years until you are 16; this is not statistical because it just a fact. F is pretty much the same because it's just asking a subjective fact-like question.

Statistical questions ask for a collection of varying data. If there is only one data point, it is non-statistical.

Enter an estimate. Round each mixed number to the nearest whole in your estimate

Answers

Answer:

1. 4-2=2

2.2 10/21

Step-by-step explanation:

Complete the table below.

Answers

Answer:

4 , 2, 8, 4 ..............

Evaluate the radical.

3√512

Enter your answer in the box.

Answers

Answer:

The Answer is 8.

Its the only Number that Multiplies itself three times to give 512.

So the Cube root of 512... Should be 8.

Answer:

8.

Step-by-step explanation:

512 = 64* 8

∛512 = ∛64 * ∛8

= 4 * 2

= 8.

Mhanifa please help! Solve for the unknown in each triangle. Round to the nearest tenth.

Answers

Answer:

(D)

Use the law of sines:

13 / sin x = 12 / sin 67°sin x = 13 sin 67° / 12sin x = 0.997x = arcsin (0.997)x = 85.6°

(E)

Find the third angle:

180° - (48° + 61°) = 71°

Use the las of sines:

x / sin 61° = 21 / sin 71°x = 21 sin 61° / sin 71°x = 19.4 cm

Jane has 27 cats , max has 6, Jasmine has 98 how many altogether?​

Answers

Hello~

All you have too do is add!

27+6+98=

Simplify

27+6=33

Add again

33+98= 131

So its 131!

Ary~

The answer is 131.
27+6=33
33+98=131
How this helps.

………………………………………………….

Answers

Answer:

Tan(Ф) = [tex]\frac{12}{5}[/tex]

Step-by-step explanation:

Tan(Ф) = [tex]\frac{opposite}{adjacent}[/tex]

Tan(Ф) = [tex]\frac{12}{5}[/tex]

Hope this helps!

Honon spent 3 1/4 hours on homework while Sequoia spent 2 5/6 hours on homework. How much more time did Honon spend on homework than Sequoia

Answers

Answer:

5/12 hours

Step-by-step explanation:

Honon = 3 1/4 hours

Sequoia = 2 5/6 hours

How much more time did Honon spend on homework than Sequoia

= number of hours Honon spent - number of hours Sequoia spent

= 3 1/4 hours - 2 5/6 hours

= 13/4 - 17/6

= (39-34) /12

= 5/12 hours

please help in this one​

Answers

Answer: [tex]49.79\ m[/tex]

Step-by-step explanation:

Given

The volume of the spherical solid is [tex]V=123,456\ m^3[/tex]

It is melted to form a solid cube

Suppose the edge length of the cube is [tex]a[/tex]

The volume of the sphere is  [tex]\frac{4}{3}\pi r^3[/tex]

[tex]\Rightarrow 123,456=a^3\\\Rightarrow a^3=123,456\\\text{Factorising 123,456}\\\Rightarrow a^3=2^6\times 3\times 643\\\\\Rightarrow a=\sqrt[3]{2^6\times 3\times 643} \\\\\Rightarrow a=4\sqrt[3]{ 3\times 643}\\\\\Rightarrow a=49.79\ m[/tex]

in a school the ratio of the number of pupils to the school of teachers is 20 ;1 if the number of pupils is 840 how many teachers are there?

Answers

Answer:

42

Step-by-step explanation:

[840/20]*1=42

Answer:

the correct answer is that the will be 42 teachers

Step-by-step explanation:

1/20x840

=42

320 divided by 60=

Will give brainliest

Answers

Answer:

5.33333 (repeating)

Step-by-step explanation:

Answer:

5.333333 and the 3 is infinite.

Step-by-step explanation:

2p Determine the value of a such that the system of equations below would have an infinite number of solutions?
18x + 12y = 36
ax – 8y =- 24​

Answers



2p Determine the value of a such that the system of equations below would have an infinite number of solutions?
18x + 12y = 36
ax – 8y =- 24

Answer: a=-12

5. Subtract using the zero principle.
b) (2y- * - 3y) - (-2x + y)​

Answers

Answer:

4x + 2y

Step-by-step explanation:

( 2x - - 3y ) - ( - 2x + y )

→ Simplify

2x + 3y + 2x - y

→ Collect x and y terms

4x + 2y

how do i find this out?

Answers

Answer:

8

Explanation:

A good way to find the area of a figure with diagonal lines is to find the area of the section that has full squares and then add the other parts together and find the area of that. As you can see in the polygon, there are four units in the middle that don't get cut off by the diagonal line. The area of that part of the figure is 1*4 = 4. Now, if you take out that section, and move the other parts together, you can find their area and then add it to 4. The other parts of the polygons are triangles, and when you move them together, they form the same shape as the middle section did, and have an area of 4. The area of the entire figure is the area of one section plus the area of the other. 4 + 4 = 8

I hope that makes sense :)

Your business has two branch stores. The recent physical inventory reports that the merchandise value for each store is: Store A $750,000, and Store B $580,000. The merchandise book value for each store is: Store A $757,000, and Store B $600,000. What is the dollar amount of shrinkage for each store?

Answers

Answer: Store A: 7,000 Store B: 20,000

Step-by-step explanation:

The amount of shrinkage for store A is $7000 and for store B is $20000.

What is loss?

"If the selling price of an item is less than the cost price, then the difference between the cost price and the selling price of an item is called the loss".

For the given situation,

The merchandise book value for store A = $757,000

The merchandise book value for store B = $600,000

Based on physical inventory reports,

The merchandise value for store A = $750,000

The merchandise value for store B = $580,000.

The amount of shrinkage determines the loss and it is calculated by taking the difference between the values.

Store A = [tex]757000-750000[/tex]

⇒ [tex]7000[/tex]

Sore B = [tex]600,000-580000[/tex]

⇒ [tex]20000[/tex]

Hence we can conclude that the amount of shrinkage for store A is $7000 and for store B is $20000.

Learn know more about a loss here

https://brainly.com/question/5135850

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list the planets in order from least to greatest
Only give me an answer if you know the answer please

Answers

Answer:

Uranus, Neptune, Saturn, Jupiter

Step-by-step explanation:

l

Neptune, Uranus, Saturn, Jupiter.

A grocery chain runs a prize game by giving each customer a ticket that may win a prize when the box is scratched off. Printed on the ticket is a dollar value ($500, $100, $25) or the statement "This ticket is not a winner." Monetary prizes can be redeemed for groceries at the store. Below is the probability distribution of the amount won on a randomly selected ticket. Which of the following are the mean and standard deviation, respectively, of the winnings? * 2 points Captionless Image $156.25 $53.85 $15.00, $2900.00 $15.00, $26.93 $15.00, $53.85 $156.25, $26.93

Answers

Answer:

[tex]Mean = \$15[/tex]

[tex]Standard\ Deviation = \$53.85[/tex]

Step-by-step explanation:

Given

See attachment for probability distribution

Required

Determine the mean and the standard deviation

The mean of the distribution is:

[tex]Mean = E(x)[/tex]

and

[tex]E(x) = \sum x * P(x)[/tex]

So, we have:

[tex]Mean = \$500 * 0.01 + \$100 * 0.05 + \$25 * 0.20 + \$0 * 0.74[/tex]

[tex]Mean = \$5 + \$5 + \$5 + \$0[/tex]

[tex]Mean = \$15[/tex]

So:

[tex]E(x) = 15.00[/tex]

The standard deviation of the distribution is:

[tex]S = \sqrt{Var(x)}[/tex]

Where:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

[tex]E(x^2) = \sum x^2 * P(x)[/tex]

So, we have:

[tex]E(x^2) = 500^2 * 0.01 + 100^2 * 0.05 + 25^2 * 0.20 +0^2 * 0.74[/tex]

[tex]E(x^2) = 2500 + 500 + 125 +0[/tex]

[tex]E(x^2) = 3125[/tex]

So:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

Where

[tex]E(x^2) = 3125[/tex]

[tex]E(x) = 15.00[/tex]

[tex]Var(x) = 3125 - 15^2[/tex]

[tex]Var(x) = 3125 - 225[/tex]

[tex]Var(x) = 2900[/tex]

Recall that:

[tex]S =\sqrt{Var(x)[/tex]

[tex]S =\sqrt{2900[/tex]

[tex]S =53.85[/tex]


HELP ASAP

I need someone to help please I need to make my mom proud

Answers

Answer:

perimeter =52cm

hope it helps.

stay safe healthy and happy.

Answer:

52 cm (second opinion)

Step-by-step explanation:

add all the sides

T increased by 55 pls help no links or anything

Answers

Answer:

T increased by 55 =t+55

30 pts ! The height of the Ferris wheel in feet can be represented by the function 50 cos (π/15(x-10))+52 with time in x seconds. When does the height of 80 feet occur on the interval 0

Answers

The time that the  height of 80 feet occur on the interval 0 is 4.662 seconds.

Given:

50 cos (π/15(x-10))+52

Height=80 feet

Time= x second

Hence:

height (h)= 50 cos [pie(x - 10 )/15 ] + 52

80 = 50 cos [pie( x - 10 )/15 ]+ 52

Collect like terms

80 - 52 = 50 cos [ pie( x - 10 )/15 ]

28 = 50 cos [ pie( x - 10 )/15 ]

cos [pie( x - 10 )/15 ] = 28/50

cos [ pie( x - 10 )/15 ] =56

cos [pie( x - 10 )/15 ]= cos ( 56 )

cos [ pie( x - 10 )/15 )]= cos ( 0.3111 pie )

Hence:

pie( x - 10 )/15 = 0.3111

( x - 10 )/15 = 0.3111

x - 10 = 15 × 0.3111

x - 10 = 4.662

x = 10 + 4.662

x = 14.662 seconds

Therefore the correct option is C.

Learn more about height here:https://brainly.com/question/1739912

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A triangle has three angles of 36°, 34°, and 110°.
A. equilateral B. obtuse C. acute D. right

Answers

Answer:

Obtuse Triangle.

Step-by-step explanation:

An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In this case, 110° is more than 90°. So, its an obtuse angle. If one angle of the triangle is obtuse, then the other two angles with always be acute.

Hence, this is an obtuse triangle

The triangle with the given measures is obtuse angle triangle. Therefore, option B is the correct answer.

What is an obtuse angle triangle?

An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°.

Given that, a triangle has three angles of 36°, 34°, and 110°.

Here, one of the angle measure more than 90°, that is 110°.

Sum of remaining two angles is 36°+34°

= 70°

Therefore, option B is the correct answer.

Learn more about the obtuse angle triangle here:

https://brainly.com/question/1581660.

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A clock runs 5 minutes slow every hour. The clock was set
at the proper time 12 hours ago. The correct time now is 3 p.m.
How many minutes will elapse before the clock indicates 3 p.m.?

Answers

60 minutes because 12 (hours) times the 5 minutes is 60 minutes
2:00 because if you multiply 5 times 12, it will equal 60. Subtract 3:00 from 60 mins, you get 2:00 pm

A system of linear equations for the variables x and y is shown.
y=-x-4
3y=cx-18
For what value of c, if any, will this system have no solution? Justify your answer.

Answers

Answer: -3

Step-by-step explanation:

Given

Equations of the lines are

[tex]y=-x-4\\3y=cx-18[/tex]

For the system of linear equation [tex]a_1x+b_1y=c_1,a_2x+b_2y=c_2[/tex] has no solution if

[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex]

Rewrite the equations

[tex]x+y=-4,\ cx-3y=18[/tex]

Insert the values for the no solution condition

[tex]\Rightarrow \dfrac{1}{c}=\dfrac{1}{-3}\\\\\Rightarrow c=-3[/tex]

Therefore, for c=-3, the system of linear equation ha no solution.

Solve 10^(x + 2) = 34

Answers

Answer:

-.4685

Step-by-step explanation:

[tex]x^y=z\\y=log_zy\\10^{x+2}=34\\x+2=log_{10}34\\x+2=log34\\x+2=1.531478917\\x=-.468521083[/tex]

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