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Zinaida [17]
3 years ago
11

Form and solve an equation for x. 6x +40 Х 3x + 100

Mathematics
1 answer:
Blababa [14]3 years ago
5 0

Answer:

x = 22

Step-by-step explanation:

The sum of the angles round a point is 360°

Sum the given angles and equate to 360

x + 6x + 40 + 3x + 100 = 360

10x + 140 = 360 ( subtract 140 from both sides )

10x = 220 ( divide both sides by 10 )

x = 22

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Find the greatest common factor of 120 and 72.
kolbaska11 [484]

The greatest common factor of 120 and 72 is 24

<h3><u>Solution:</u></h3>

Given that we have to find the greatest common factor of 120 and 72

Let us first understand about greatest common factor

When we find all the factors of two or more numbers, and some factors are the same ("common") , then the largest of those common factors is the Greatest Common Factor

<em><u>Greatest common factor of 120 and 72:</u></em>

First find the factors of 120 and 72

The factors of 120 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

On observing the above factors list of 120 and 72, we find that 24 is the greatest common factor in both the list

Thus the GCF of 120 and 72 is 24

8 0
4 years ago
Read 2 more answers
Tú tienes la mitad de lo que tenías y tendrás el triple de lo que tienes. Si tuvieras lo que tienes, tenías y tendrás, tendrías
Oxana [17]

Answer:

Nosotros teníamos 120 dólares.

Step-by-step explanation:

Sean x, y, z lo teníamos, lo que tenemos y lo que tendremos, respectivamente. A continuación, traducimos puntos claves del enunciado en expresiones matemáticas:

(i) <em>Tu tienes la mitad de lo que tenías:</em>

y = \frac{1}{2}\cdot x (1)

(ii) <em>Tendrás el triple lo que tienes</em>:

z = 3\cdot y (2)

(iii) <em>Si tuvieras lo que tienes, tenías y tendrás, tendrías lo que yo tengo que es 180 dólares más de lo que tu tendrás</em>:

x+y+z = z + 180

x + y = 180 (3)

En consecuencia, tenemos el siguiente sistema de ecuaciones lineales:

\frac{1}{2}\cdot x -y = 0 (1)

3\cdot y - z = 0 (2)

x + y = 180 (3)

La solución del sistema de ecuaciones es: x = 120, y = 60, z = 180.

Nosotros teníamos 120 dólares.

6 0
3 years ago
Which composition of transformations maps figure EFGH to figure E"F"G"H"?
Lady bird [3.3K]

The transformations would map EFGH to {\text{E''F''G''H''}} is a reflection across line k followed by a translation down. Option (a) is correct.

Further explanation:

Given:

The compositions of transformations from EFGH to {\text{E''F''G''H''}} are as follows,

(a). A reflection across line k followed by a translation down.

(b). A translation down followed by a reflection across line k.

(c). A {180^ \circ } rotation about point G followed by a translation to the right.

(d). A translation to the right followed by a {180^ \circ } rotation about point G.

Explanation:

Translation can be defined as to move the function to a certain displacement. If the points of a line or any objects are moved in the same direction it is a translation.

Rotation is defined as a movement around its own axis. A circular movement is a rotation.

The transformations would map EFGH to {\text{E''F''G''H''}} is a reflection across line k followed by a translation down. Option (a) is correct.

Option (a) is correct.

Option (b) is not correct.

Option (c) is not correct.

Option (d) is not correct.

Learn more:

  1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Triangles

Keywords: rotation, transformation, map, EFGH, composition, translation, triangle, rotation about point A, mapped, triangle pair, mapping, equal angles, sides, congruent, two triangles, common point.

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3 years ago
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A tree is 6 feet tall. Two years after buying the tree, it had grown to a height of 9 feet how much does the tree grow every yea
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1.5 each year

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