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4 years ago

How would you solve this / reasons

Mathematics

1 answer:

seropon [69]4 years ago

3 0

Reason 1. AB is congruent to DC - given

Reason 2. AB is parallel to DC - given

Reason 3. angle BAC is congruent to angle DCA - alternate interior angles are congruent

Reason 4. AC is congruent to AC - reflexive property of congruence

Reason 5. triangle ABC is congruent to triangle CDA - Side Angle Side

AC is congruent to AC - reflexive property of congruence

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Only 2 stuff to do .... :3

Alexxx [7]

Answer:

the distance she travel

trust me

6 0

4 years ago

En una papelería sé adquirieron un paquete de 36 plumas este tiene un valor de 97.5 ¿Si el que compró el paquete va a vender cad

zysi [14]

Responder:

3,46

Explicación paso a paso:

Número de lápices comprados = 36

Costo total de los 36 lápices = 97,5

El precio unitario de cada lápiz será:

Costo total / número de lápices

97,5 / 36

= 2.708

El precio de venta por lápiz será:

Precio por lápiz + 75 céntimos

2,708 + 0,75

= 3.458

= 3,46

Por tanto, el precio de venta por lápiz será 3,46.

6 0

3 years ago

The endpoints of segment RS are R(-4, 3) and S(8, -5). Complete each statement using a fraction.

Ray Of Light [21]

Answer:

a. (-1 , 1) is the point at 1 : 3 of the way from R to S

b. (5 , -3) is the point at 3 : 1 of the way from R to S

Step-by-step explanation:

* Lets explain how to solve the problem

- If point (x , y) divide a line segment whose end points are

$(x_{1},y_{1})$ and $(x_{2},y_{2})$ , at ratio

$m_{1}:m_{2}$ from the first point, then

$x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}}$ and

$y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}$

* Lets solve the problem

∵ RS is a line segment whose end points are R (-4 , 3) and S (8 , -5)

∵ Point (-1 , 1) divides it at ratio $m_{1}:m_{2}$ from R

- By using the rule above

∴ $-1=\frac{-4m_{2}+8m_{1}}{m_{1}+m_{2}}$

- By using cross multiplication

∴ $(-1)m_{1}+(-1)m_{2}$ = $-4m_{2}+8m_{1}$

- By collecting $m_{1}$ in one side and $m_{2}$ in the

other side

∴ $3m_{2}=9m_{1}$

- Divide both sides by 3

∴ $m_{2}=3m_{1}$

∴ $m_{1}=\frac{1}{3}m_{2}$

∴ (-1 , 1) is the point at 1 : 3 of the way from R to S

∵ RS is a line segment whose end points are R (-4 , 3) and S (8 , -5)

∵ Point (5 , -3) divides it at ratio $m_{1}:m_{2}$ from R

- By using the rule above

∴ $5=\frac{-4m_{2}+8m_{1}}{m_{1}+m_{2}}$

- By using cross multiplication

∴ $5m_{1}+5m_{2}$ = $-4m_{2}+8m_{1}$

- By collecting $m_{1}$ in one side and $m_{2}$ in the

other side

∴ $9m_{2}=3m_{1}$

- Divide both sides by 3

∴ $3m_{2}=m_{1}$

∴ $\frac{m_{1}}{m_{2}}=3$

∴ (5 , -3) is the point at 3 : 1 of the way from R to S

8 0

4 years ago

A park in a subdivision has a triangular shape. Two adjacent sides of the park are

Vlada [557]

Answer:

133,371

Step-by-step explanation:

b times h divided by 2

522 x 511 x 1/2 = 133,371

5 0

3 years ago

Use the properties above to simplify each expression.

Studentka2010 [4]

Step-by-step explanation:

9. 27+7x

10.52x+8

forgive me if im wrong but I'm sure it's that

8 0

4 years ago