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3 years ago

9

The ratio of the weight of a book to the weight of a mug is 7:5. What fraction of the total weight of the book and mug is the we

ight of the book?

1 answer:

sergeinik [125]3 years ago

7 0

Answer:

7/12

Step-by-step explanation:

You can pretend the given ratio units are the actual weights. Then the desired ratio is ...

book : mug = 7 : 5

book : (book +mug) = 7 : (7 +5) = 7 : 12

The weight of the book is 7/12 of the total weight.

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If m<13=m<15=m<7, what conclusions can you make about lines a, b, c, and d?

Strike441 [17]

Answer:

option D

Lines a and b are parallel and lines c and d are parallel.

Step-by-step explanation:

Given in the question four lines a , b, c, d.

<h3>Prove one</h3>

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They are know as corresponding angles.

Hence lines a and b are parallel.

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2 years ago

Consider the diagram below. which of the following represents the values x,y and z?

Gemiola [76]

Answer:

$x=4\sqrt{6}\ units$

$y=4\sqrt{2}\ units$

$z=4\sqrt{3}\ units$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

In the right triangle ABD

Applying the Pythagorean Theorem

$x^2=y^2+(12-4)^2$

$x^2=y^2+64$

$y^2=x^2-64$ ----> equation A

step 2

In the right triangle BDC

Applying the Pythagorean Theorem

$z^2=y^2+4^2$

$z^2=y^2+16$

$y^2=z^2-16$ ----> equation B

step 3

In the right triangle ABC

Applying the Pythagorean Theorem

$12^2=x^2+z^2$

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step 4

Equate equation A and equation B

$x^2-64=z^2-16$

$x^2=z^2+48$ -----> equation D

step 5

substitute equation D in equation C

$144=z^2+48+z^2$

solve for z

$2z^2=144-48$

$2z^2=96$

$z^2=48$

$z=\sqrt{48}\ units$

simplify

$z=4\sqrt{3}\ units$

Find the value of x

$x^2=z^2+48$

$x^2=48+48=96$

$x=\sqrt{96}\ units$

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Find the value of y

$y^2=z^2-16$

$y^2=48-16$

$y^2=32$

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