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masya89 [10]
3 years ago
9

Rectangle ABCD is similar to rectangle WXYZ. What is the value of AB if WX is & feet, AD is 12 feet, and WZ is 16 feet?

Mathematics
1 answer:
mario62 [17]3 years ago
8 0

Answer:

Similar rectangles states that the corresponding sides are in proportion.

As per the statement:

Rectangle ABCD is similar to rectangle WXYZ.

WX = 8 feet, AD = 12 feet and WZ = 16 feet.

Since. Rectangle ABCD and rectangle WXYZ are similar

then;

their corresponding sides are in proportion:

\frac{AB}{WX}=\frac{BC}{XY}=\frac{CD}{YZ}=\frac{AD}{WZ}

To find the value of AB:

\frac{AB}{WX}=\frac{AD}{WZ}

Substitute the given values we have;

\frac{AB}{8}=\frac{12}{16}

Multiply both sides by 8 we have;

AB = \frac{12}{16} \times 8 = \frac{96}{16}=6

Therefore, the value of AB is 6 units.




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What is 3 1/4 x 1 1/2 x 9?
IRISSAK [1]
Hey there!

First we multiply 3 1/4 x 1 1/2:

3 1/4 = 13/4 and 1 1/2 = 3/2

13 X 3 = 39
4 x 2 = 8

39/8 in simplest form = 4 7/8

Next, multiply 4 7/8 x 9:

4 7/8 = 39/8 and 9 = 9/1 (since it is one whole)

39 x 9 = 351
8 x 1 = 8

351/8 in simplest form is 43 7/8.

Your final answer is 43 7/8.

Hope this helps you.
Have a great day!
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4 0
3 years ago
Conner and Jana are multiplying (3⁵6⁸)(3⁹6¹⁰).
ad-work [718]
<h3>Conner work is correct. Jana work is wrong</h3>

<em><u>Solution:</u></em>

<em><u>Given that,</u></em>

<em><u>Conner and Jana are multiplying:</u></em>

(3^56^8)(3^96^{10})

Given Conner's work is:

(3^56^8)(3^96^{10}) = 3^{5+9}6^{8+10} = 3^{14}6^{18}

We have to check if this work is correct

Yes, Conner work is correct

From given,

(3^56^8)(3^96^{10})\\\\3^5 \times 6^8 \times 3^9 \times 6^{10}

Use the following law of exponent

a^m \times a^n = a^{m+n}

Therefore,

3^5 \times 6^8 \times 3^9 \times 6^{10} = 3^5 \times 3^9 \times 6^8 \times 6^{10} = 3^{5+9} \times 6^{8+10} = 3^{14} \times 6^{18}

<em><u>Given Jana's work is:</u></em>

(3^56^8)(3^96^{10}) = 3^{5.9}6^{8.10} = 3^{45}6^{80}

This is incorrect

The powers of same base has to be added. But here, powers are multiplied which is wrong

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