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3 years ago

Suppose ABCD is a rectangle. Find AB and AD if point M is the midpoint of

Mathematics

1 answer:

Dvinal [7]3 years ago

4 0

We know that
Perimeter=2AB+2AD=34 in-----> AB+AD=17-----> AB=17-AD-----> equation 1

MA=MD
MA²=AB²+(AD/2)²
for the triangle AMD
AD²=[MA²+MD²]----> AD²=2*[MA²]----> AD²=2*[AB²+(AD/2)²]---> equation 2

I substitute 1 in 2

AD²=2*[(17-AD)²+(AD/2)²]----> AD²=2*[289-34AD+AD²+0.25AD²]

AD²=578-68AD+2.50AD²--------> 1.50AD²-68AD+578

1.50AD²-68AD+578=0

using a graph tool to solve the quadratic equation

see the attached figure

AD1=11.33 in

AD2=34 in----------is not solution because (AB+AD=17)

Solution is AD=11.33 in

AB=17-11.33--------> 17-11.33-----> AB=5.67 in

the answer is

AD=11.33 in

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The number of 3¢ stamps that are in the collection is: 22.

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A collection of stamps consists of 3¢ stamps, 5¢ stamps and 7¢ stamps; 3¢ + 5¢ + 7¢ = 194

6 more 3¢ stamps than 5¢ stamps; 3¢ = 5¢ + 6 ⇒ 5¢ = 3¢ - 6

Two more 7¢ stamps than 3¢ stamps; 7¢ = 3¢ + 2

Combining the above equations, we have:

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Read more on expressions here: brainly.com/question/17361494

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<u>Complete Question:</u>

A collection of stamps consists of 3¢ stamps 5¢ stamps and 7¢ stamps. There are 6 more 3¢ stamps than 5¢ stamps and two more 7¢ stamps than 3¢ stamps. The total value of the stamps is $1.94. How many 3¢ stamps are in the collection?

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1 year ago

Jacob buys for muffins for $5 what is the cost of 7 muffins

Lyrx [107]

Answer:

35$

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3 years ago

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Which of the following is not a way of generating random numbers? A. random number tables B. using phone numbers selected at ran

tino4ka555 [31]

Answer:

well all of these look like a way so we have to use elimination method

A : random number tables : well it has random numbers so X out

B: PHONE NUMBERS: well phone numbers are random so X out

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2 years ago

Examine the table of equivalent ratios and complete this statement. For 5 servings, the ratio of cups of water to cups of juice

shepuryov [24]

Answer:

Step-by-step explanation: This is five-fold proportion

The first ratio gives solution namely

We will write general proportion

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According to this the first ratio gives coefficient k

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In the second ratio we will multiply 3 with 12 and get 36.

In the third ratio we will multiplu 5.5 with 12 and get 66.

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