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3 years ago

15

Write a list of steps that are needed to find the measure of ∠B.

1 answer:

andrew11 [14]3 years ago

3 0

Answer:

The measure of angle B is 41°.

Step-by-step explanation:

180 - 113 = 67.

67 + 72 = 139.

180 - 139 = 41.

I hope this helped! If you need more details about it, ask me!

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What is the value of x?<br><br> x= <br> units

attashe74 [19]

By Pythagoras theorem

$RQ^{2}= x^{2} + 16^{2}$
$RS^{2}= x^{2} + 9^{2}$

$SQ^{2}= RS^{2} + RQ^{2}$
$SQ^{2}= x^{2} + 16^{2} + x^{2} + 9^{2}$
$SQ^{2}=2 x^{2} +256+81$
$25^{2}=2 x^{2} +337$
$625-337=2 x^{2}$
$288=2 x^{2}$
$144= x^{2}$
$x=12$

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3 years ago

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sveta [45]

Answer:

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Step-by-step explanation:

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2 years ago

Amy and Stephanie were playing a number game. Amy picked a number and told Stephanie that if she added 9 to the number and multi

faust18 [17]

Answer:

4 (x + 7) = 8

Step-by-step explanation:

4 (x + 7) = 8 Because you add 7 to Amy's number then multiplied by 4 which equals 8

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3 years ago

What percent of 55 is 21.1

Rama09 [41]

11.6, if you need a decimal. it's in between 11 and 12

5 0

3 years ago

Use decimals and fractions in the same equation showing the Commutative Property. Repeat for the Associative Property.

Anna71 [15]

For Commutative Property of Addition

Let us take a decimal number $2.14$ and a fraction $\frac{5}{20}$

Now, according to the Commutative property of Addition:

For any two numbers $a$ and $b$ :

$a+b = b+a$

So, for $2.14$ and $\frac{5}{20}$

Let us add

$2.14+\frac{5}{20} = \frac{214}{100} +\frac{5}{20}$

$=\frac{214}{100} + \frac{5 \times 5}{20 \times 5} \\ \\=\frac{214}{100} + \frac{25}{100} \\ \\= 2.14 + 0.25 \\ \\ = 2.39$

Also,

$\frac{5}{20} + 2.14 = \frac{5}{20} + \frac{214}{100}$

$= \frac{5 \times 5}{20 \times 5} +\frac{214}{100} \\ \\= \frac{25}{100} + \frac{214}{100} \\ \\= 0.25 + 2.14 \\ \\ = 2.39$

Therefore, $2.14+\frac{5}{20} = \frac{5}{20} + 2.14$

Hence, Commutative Property of Addition is satisfied.

For Associated Property of Addition

Let us take two same decimal numbers $2.14$ , $7.25$ and a fraction $\frac{5}{20}$

Now, according to the Associated property of Addition:

For any three numbers $a$ , $b$ and $c$

$a + (b+c) =(a+b) + c$

So, for $2.14$ , $7.25$ and $\frac{5}{20}$

The Left hand side:

$a + (b+c)$

$2.14 + (7.25 + \frac{5}{20}) = 2.14 + (\frac{725}{100} + \frac{5 \times 5}{20\times 5})$

$= 2.14 + (\frac{725}{100} + \frac{25 }{100})$

$= 2.14 + (\frac{750}{100} )$

$= \frac{214}{100} + \frac{750}{100}$

$= \frac{964}{100}$

$=9.64$

The Right hand side:

$(a + b )+c$

$(2.14 + 7.25 )+ \frac{5}{20}= ( 9.39 ) + \frac{5 }{20}$

$= 9.39 + \frac{5 \times 5 }{20 \times 5}$

$= 9.39 + \frac{25}{100}$

$= 9.39 + 0.25$

$= 9.64$

Thus,

$(2.14 + (7.25 + \frac{5}{20} )= (2.14 + 7.25 )+ \frac{5}{20}$

Therefore, $2.14+\frac{5}{20} = \frac{5}{20} + 2.14$

Hence, Associative Property of Addition is satisfied.

8 0

3 years ago