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diamong [38]
3 years ago
8

In parallelogram DEFG, DH = x + 1, HF = 3y, G H = 3 x − 4 , and HE = 5y + 1. Find the values of x and y. The diagram is not draw

n to scale.

Mathematics
1 answer:
Nana76 [90]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

Using the property of parallelograms

• The diagonals bisect each other, hence

DH = HF and GH = HE

x + 1 = 3y and 3x - 4 = 5y + 1 ⇒ 3x = 5y + 5

Solving the 2 equations simultaneously

x + 1 = 3y → (1)

3x = 5y + 5 → (2)

rearrange (1) expressing x in terms of y

x = 3y - 1 → (3)

substitute x = 3y - 1 in (2)

3(3y - 1) = 5y + 5

9y - 3 = 5y + 5 ( subtract 5y from both sides )

4y - 3 = 5 ( add 3 to both sides )

4y = 8 ( divide both sides by 4 )

y = 2

substitute y = 2 into (3)

x = (3 × 2) - 1 = 6 - 1 = 5

Hence x = 5, y = 2



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ale4655 [162]

Si el día es jueves, entonces el mañana del pasado mañana de ayer de ayer es martes.

<h3>Definición del día mediante equivalencia aritmética</h3>

Sea el día <em>actual</em> (<em>lunes</em>) el día 0, el día <em>anterior</em> tiene equivalencia de -1 y el día <em>posterior</em> tiene equivalencia de +1. A continuación, traducimos matemáticamente la expresión:

<em>Si el anteayer (-2) del pasado mañana (+2) de mañana (+1) del ayer(-1) el mañana (+1) de hace 2 días (-2) es el pasado mañana (+2) del mañana (+1) del mañana (+1) del anteayer (-2) del mañana (+1) del lunes (0). ¿qué día es el mañana (+1) del pasado mañana (+2) de ayer (-1) de ayer (-1)?</em>

<h3>Simplificación</h3>

<em>Si (-1) es (+3). ¿Qué día es (+1)?</em>

Si el día es jueves, entonces el mañana del pasado mañana de ayer de ayer es martes.

Para saber más de acertijos matemáticos, invitamos cordialmente a ver esta pregunta verificada: brainly.com/question/24613771

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The circle below has a center D and its diameter is 10 feet. Given that m angle A D B equals 35 degree, find the length of major
goldfiish [28.3K]

The length of major arc ACB with angle measure of 325° and diameter of 10 feet is (325/36)π

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

angle of arc ACB = 360° - 35° = 325°

The length of major arc ACB = (325/360) * π * 10 = (325/36)π

The length of major arc ACB with angle measure of 325° and diameter of 10 feet is (325/36)π

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I need someone to help me do this, see attached documents for the questions
Brilliant_brown [7]

Answer:

<u><em>1.) 20.2</em></u>

Step-by-step explanation:

1.) You need to use the distance formula:

d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}

Find the distance of A to B first:

(-2,2)(3,2)\\\\\sqrt{(3+2)^2+(2-2)^2}\\\\\sqrt{(5)^2+(0)^2}\\\\\sqrt{25} =5

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5+8.1+7.1=20.2

2.) Part A:

You need to use the mid-point formula:

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y=mx+b

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Take point A as coordinates (x,y) and insert into the equation. Solve for the intercept, b:

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