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2 years ago

What is the value of x? Enter your answer in the box. x =

Mathematics

1 answer:

tresset_1 [31]2 years ago

5 0

These are vertical angles, meaning they are congruent by definition. Thus, you can set the angles' expressions equal to each other and solve for x this way:

3x + 50 = 6x - 10
3x + 60 = 6x
60 = 3x
20 = x

Answer:
x = 20

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Letizia y Marta han ido de compras en las rebajas la primera ha comprado unos pantalones de $42 y una camisa de $24 y la segunda

kari74 [83]

Answer:

percentage applied to pants and sweater is 80%, and that applied to shirt and shoes is 70%

Step-by-step explanation:

<u>Question in English</u>

Leticia and Marta have gone Shopping in the sales. The First has bought $ 42 pants and a $ 24 shirt, and the second has bought a $ 28 sweater and $ 60 shoes. After applying the discounts, Leticia has paid $ 50.4 and Marta $ 64.4. Calculate the percentages of discounts applied knowing that the percentage applied to the pants and the sweater matched and that applied to the shirt and shoes as well.

<u>Solution</u>

Leticia = 42 + 24 = 50.4

Marta = 28 + 60 = 64.4

The percentage applied to the pants and the sweater coincided (that is, it is x) and that applied to the shirt and shoes also (that is, it is y)

Thus,

1) 42x + 24y = 50.4

2) 28x + 60y = 64.4

obtaining and in 1 we have

y = 50.4 - 42x / 24

y = 2.1 - 1.75x

Substituting and in 2 we obtain

28x + 60y = 64.4

28x + 60 (2.1 - 1.75x) = 64.4

28x + 126 - 105x = 64.4

126 - 64.4 = 105x - 28x

x = 61.6 / 77

x = 0.8

Substituting x into 1 gives:

42x + 24y = 50.4

42 (0.8) + 24y = 50.4

33.6 + 24y = 50.4

y = 50.4 -33.6 / 24

y = 0.7

Therefore, the percentage applied to pants and sweater is 80%, and that applied to shirt and shoes is 70%

6 0

2 years ago

Read 2 more answers

Can I get some help somebody? reward brainiest

OLEGan [10]

Answer:

Step-by-step explanation:

1). x² - 8x

To convert this expression into a perfect square trinomial,

x² - 2(4x) + 4² = (x - 2)²

Therefore , 4² = 16 should be added.

Option (4) is the answer.

2). x² + 2x = 3

x² + 2(1)(x) = 3

x² + 2(1)(x) + 1 = 3 + 1 [By adding 1 on both the sides]

(x + 1)² = 4

x + 1 = ±2

x = -3, -1

Option (1) is the answer.

3). 3x²- 18x = 21

x² - 6x = 7

x² - 2(3x) = 7

x² - 2(3x) + 3² = 7 + 3²

(x - 3)² = 7 + 9

(x - 3)² = 16

x - 3 = ±4

x = -1, 7

6 0

2 years ago

The sum of 6 and another number is 23, write and solve an equation to find the other number

zlopas [31]

Answer: 23 - 6 = x

x = 17

Step-by-step explanation:

6 + x = 23

x = 23 - 6

23 - 6 = 17

x = 17

6 + 17 = 23

Hope this helps!

7 0

2 years ago

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Aldo ls saving money to buy a game. So far he has saved $12, which is one-third of the total cost of the game. How much does the

sergij07 [2.7K]

Answer:

The game costs $36

Step-by-step explanation: 12*3 is 36.

5 0

1 year ago

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The circle described by the equation <img src="https://tex.z-dn.net/?f=%28x-3%29%5E%7B2%7D%20%2B%28y%2B4%29%5E%7B2%7D%3D9" id="T

ElenaW [278]

Answer:

The point at which center of the image circle located is (-2, -3) so second option is correct.

Step-by-step explanation:

Given equation of circle is:

$(x-3)^{2} + (y+4)^{2} = 9$ (i)

The general equation of circle is mentioned below,

$(x-h)^{2} + (y-k)^{2} = r^{2}$ (ii)

Here 'r' represents the radius of the circle and (h,k) shown the center of the circle.

By comparing equation (i) and equation (ii), we get

r^2 = 9

r = 3

$(x-3)^{2} = (x-h)^{2}$

$(x-3) = (x-h)$

$h = 3$

$(y+4)^{2} = (y-k)^{2}$

$(y+4) = (y-k)$

$k = -4$

So the center of given circle is (h,k) = (3,-4)

Also, the circle is translated 5 units left, that is towards the -x-axis. Therefore h = 3 - 5 = -2

Also, the circle is translated 1 unit up, that is towards the +y-axis. Therefore k = -4 + 1 = -3

Hence, the point at which center of the image circle located is (-2, -3) so second option is correct.

6 0

2 years ago

Read 2 more answers