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Usimov [2.4K]
3 years ago
11

For what value of X is ABCD a rectangle ? explain your answer

Mathematics
1 answer:
Furkat [3]3 years ago
3 0

Answer:

10

Step-by-step explanation:

If ABCD is a rectangle, then AB=CD and AC=BD.

  • AC=BD, so x+6=2x-4
  • Subtract, -x+6=-4
  • Subtract, -x=-10
  • Make positive, x=10

Check work:

  • 10+6=2(10)-4
  • 10+6=20-4
  • 16=16
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Rhonda bought a new laptop for $800. The laptop depreciates, or loses, 20% of its value each year. The value of the laptop at a
zhuklara [117]

As per the problem,

Rhonda bought a new laptop for $800.

The laptop depreciates, or loses, 20% of its value each year.

The value of the laptop at a later time can be found using the formula

A=P(1-r)^t.....(1)

Here we have

P=$800

r=20%=0.20

t=2 years

Substitute the values in equation (1) we get

A=800(1-0.2)^2\\ \\ \Rightarrow A=800(0.8)^2\\ \\ \Rightarrow A=800*0.64\\ \\ \Rightarrow A=512\\

The laptop be worth in two years will be $512.

6 0
3 years ago
2. Lamar purchases comic books at garage
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<u>Answer:</u>

Lamar will charge\$7 to the comic dealer for a comic book.

<u>Solution:</u>

It is given that lamar purchases a comic book for \$4. He then marks up the price of a comic book by 75\% which means he increases the price of the book by 75\% and then sells it to the comic dealer.

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New price of the book after lamar marks up the price is given by

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Thus, lamar will charge \$7 to the comic dealer for a comic book.

4 0
3 years ago
Which number line represents the solution set for the inequality –4(x + 3) ≤ –2 – 2x?
Yuliya22 [10]
<span>–4(x + 3) ≤ –2 – 2x

>>.....-4x -12 </span>≤ -2 -2x

>>  -12 +2 ≤ +2x 

>> - 10 ≤ 2x

>> -5 ≤ x............>> x >= -5 

This answer is not represented in the pictures you attached

The line starts in x = -5 and goes up to infinity
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creativ13 [48]

Answer:

I would go with C.Line 4

Please mark brainliest!

Step-by-step explanation:

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Please I need help.<br>​
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Answer: A

Step-by-step explanation: if not A then B if not B then C if not C then D if not D then your teacher doesn't like you.

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3 years ago
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