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3 years ago

ABCD is a rhombus. Find AB. Give answer as a fraction in simplest form.

Mathematics

2 answers:

LuckyWell [14K]3 years ago

5 0

Answer:

The length of AB = 97/3 units

Step-by-step explanation:

The length of CD = 7x+2

The length of BC = 4x+15

We know that a rhombus is a quadrilateral whose four sides all have the same length.

Thus, the equation becomes

7x+2 = 4x+15

7x-4x = 15-2

3x = 13

x = 13/3

So, the length of CD = 7x+2 = 7(13/3)+2

= 91/3 + 2

= 97/3

And, the length of BC = 4x+15 = 4(13/3) + 15

= 97/3

We already know that a rhombus is a quadrilateral whose four sides all have the same length.

Thus, the length of AB = 97/3 units

mart [117]3 years ago

4 0

Answer: 97/3

>>>>> 97 over 3

Step-by-step explanation:

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$12-[20-2(6^2\div3\times2^2)]=88$

Step-by-step explanation:

So we have the expression:

$12-[20-2(6^2\div3\times2^2)]$

Recall the order of operations or PEMDAS:

P: Operations within parentheses must be done first. On a side note, do parentheses before brackets.

E: Within the parentheses, if exponents are present, do them before all other operations.

M/D: Multiplication and division next, whichever comes first.

A/S: Addition and subtraction next, whichever comes first.

(Note: This is how the order of operations is traditionally taught and how it was to me. If this is different for you, I do apologize. However, the answer should be the same.)

Thus, we should do the operations inside the parentheses first. Therefore:

$12-[20-2(6^2\div3\times2^2)]$

The parentheses is:

$(6^2\div3\times2^2)$