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2 years ago

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Ezra used his bank card to buy gasoline for his car 3 times. Each time he bought gasoline, it cost him $28.50. He then deposited

$50 into his bank account. What was the change in Ezra’s bank account balance as a result of these transactions?

1 answer:

TiliK225 [7]2 years ago

7 0

Answer:

18.50 times 3 equals 55.5, the answer is 55.50

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The coordinates of quadrilateral ABCD are A(-1,-5), B(8,2), C(11,13), and D(2,6). Using coordinate geometry, prove that quadrila

Sliva [168]

Answer:

The quadrilateral ABCD is a rhombus.

Step-by-step explanation:

A rhombus is a quadrilateral having equal sides.

If ABCD is a rhombus then,

AB = BC = CD = DA

It is provided that the coordinates of the rhombus ABCD are:

A = (-1, -5)

B = (8, 2)

C = (11, 13)

D = (2, 6)

Use the distance formula to compute the lengths of AB, BC, CD and DA.

The distance formula is:

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

Compute the length of AB:

$AB=\sqrt{(8-(-1))^{2}+(2-(-5))^{2}}=\sqrt{130}=11.4$

Compute the length of BC:

$BC=\sqrt{(11-8)^{2}+(13-2)^{2}}=\sqrt{130}=11.4$

Compute the length of CD:

$CD=\sqrt{(2-11)^{2}+(6-13)^{2}}=\sqrt{130}=11.4$

Compute the length of DA:

$DA=\sqrt{(2-(-1))^{2}+(6-(-5))^{2}}=\sqrt{130}=11.4$

Thus, the lengths AB, BC, CD and DA are equal, i.e. all sides are of length 11.4.

Hence proved that the quadrilateral ABCD is a rhombus.

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nika2105 [10]

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malfutka [58]

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Answer:

see explanation

Step-by-step explanation:

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(b)

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