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Ivanshal [37]
2 years ago
7

Resuelve las siguientes situaciones problémicas utilizando el método gráfico 4. Dos números son tales que el doble del primero m

enos el segundo es 8 y la suma de los números es uno. ¿Cuáles son los números?
Mathematics
1 answer:
Alex Ar [27]2 years ago
4 0

Answer:

Ja niewiem pseprasam baardzo bardzo bardzo bardzo bardzo bardzo bardzo bardzo bardzo bardzo bardzo bardzo bardzo bardzo bardzo bardzo bardzo bardzo bardzo

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In triangle ABC, ∠ABC=70° and ∠ACB=50°. Points M and N lie on sides AB and AC respectively such that ∠MCB=40° and ∠NBC=50°. Find
Sever21 [200]

Answer:

∠NMC  = 50°

Step-by-step explanation:

The interpretation of the information given in the question can be seen in the attached images below.

In ΔABC;

∠ A + ∠ B + ∠ C = 180°    (sum of angles in a triangle)

∠ A + 70°  + 50°  = 180°

∠ A = 180° - 70° - 50°

∠ A =  180° - 120°

∠ A =  60°

In ΔAMN ; the base angle are equal , let the base angles be x and y

So; x = y   (base angle of an equilateral  triangle)

Then;

x + x + 60° = 180°

2x +  60° = 180°

2x = 180° - 60°

2x = 120°

x = 120°/2

x = 60°

∴ x = 60° , y = 60°

In ΔBQC

∠a + ∠e + ∠b = 180°

50° + ∠e + 40° = 180°

∠e = 180° - 50° - 40°

∠e = 180° - 90°

∠e = 90°

At point Q , ∠e = ∠f = ∠g = ∠h = 90°  (angles at a point)

∠i  = 50° - 40° = 10°

In ΔNQC

∠f + ∠i   + ∠j = 180°

90° + 10° + ∠j = 180°

∠j  = 180° - 90°-10°

∠j  = 180° - 100°

∠j  = 80°

From  line AC , at point N , ∠y + ∠c + ∠j = 180°   (sum of angles on a straight line)

60° + ∠c + ∠80° = 180°

∠c  = 180° - 60°-80°

∠c  = 180° - 140°

∠c  = 40°

Recall that :

At point Q , ∠e = ∠f = ∠g = ∠h = 90°  (angles at a point)

Then In Δ NMC ;

∠d + ∠h + ∠c = 180°   (sum of angles in a triangle)

∠d + 90° + 40° = 180°

∠d  = 180° - 90° -40°

∠d  = 180° - 130°

∠d  = 50°

Therefore, ∠NMC = ∠d  = 50°

3 0
3 years ago
4. Four friends went on a trip to Mexico. They rented a car for eight days which cost
nlexa [21]

Explanation:

So, I know a lot of people won't do it this way, but this is how I would do it.

First, multiply each expense by eight (eight for the eight days)

$55 x 8 = 440

$25 x 8 = 200

$129 x 8 = 1032

Next, take the three answers and add them together:

440 + 200 + 1032 = 1672

Lastly, divide 1672 by four (four for the four friends)

1672/4 = 418

There you go! Here is your answer. Each friend paid $418

Hope I helped! :D

3 0
3 years ago
What is the factor for 8 and 9
icang [17]

Answer:

1

The common factors of 8 and 9 are 1, intersecting the two sets above. In the intersection factors of 8 ∩ factors of 9 the greatest element is 1. Therefore, the greatest common factor of 8 and 9 is 1.

5 0
3 years ago
Read 2 more answers
In a translation, what math process is used? WILL GIVE BRAINILEST!!!
jekas [21]
The answer is B multiplication That’s correct who is the
3 0
2 years ago
Read 2 more answers
How many milliliters are in 30 liters? <br><br> 300<br> 3,000<br> 30,000<br> 300,000
Alborosie

Answer:

30000 Milliliters

Step-by-step explanation:

multiply the volume value by 1000

30 x 1000 = 30000

Brainliest if this was helpful. Thanks!

3 0
3 years ago
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