Lara’s bed is 5 feet long. How much inches long is the bed?

A quadrilateral can be inscribed in a circle, if and only if, the opposite angles in that quadrilateral are supplementary.

balandron [24]

The cyclic quadrilateral's opposing angles are 180 degrees, which become supplementary angles.

<h3>What is a cyclic quadrilateral?</h3>

If the quadrilateral is inscribed in a circle then the quadrilateral is known as a cyclic quadrilateral.

A quadrilateral can be inscribed in a circle, if and only if, the opposite angles in that quadrilateral are supplementary.

We know that the sum of the opposite angles of the cyclic quadrilateral is equal to 180 degrees.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

More about the cyclic quadrilateral link is given below.

brainly.com/question/15061291

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4 0

2 years ago

How can I factor 5x^2 + 26x - 24 = 0 using the completing the square method.

kifflom [539]

<h2><u>QUADRATIC EQUATION</u></h2>

<h2> $\mathbb{ANSWER:}$ </h2>

$\bold{x = 0.8 \: } \: \sf \: {\color{grey}or} \: \: \: \bold{ x= \frac{4}{5} } \\$

$\bold{x = - 6}$

— — — — — — — — — —

<h3>Step-by-step explanation:</h3>

<u>How can </u><u>we</u><u> factor 5x^2 + 26x - 24 = 0 using the completing the square </u><u>method?</u>

Let's solve your equation step-by-step.

$\bold{Given \: Equation: \color{brown} 5x²+26x-24=0}$

First, add 24 to both sides.

$\bold{5x²+26x-24 - \purple{ 24} = 0 + \purple{24}}$

$\bold{ \implies \: 5x²+26x = 24 }$

Since the coefficient of 5x² is 5, divide both sides by 5.

$\bold{ \frac{5 {x}^{2} + 26x }{5} = \frac{24}{5} } \\$

$\bold{ \implies \: {x}^{2} + \frac{26}{5} x = \frac{24}{5} } \\$

The coefficient of 26/5x is 26/5. So, let b=26/5.

Then we need to add (b/2)²=169/25 to both sides to complete the square.

Add 169/25 to both sides.

$\bold{ {x}^{2} + \frac{26}{5} x + \frac{ \purple{169}}{ \purple{25}}= \frac{24}{5} + \frac{ \purple{169}}{ \purple{25}} } \\$

$\bold{ \implies \:\bold{ {x}^{2} + \frac{26}{5} x + \frac{ 169}{ {25}}= \frac{289}{25} } } \\$

Factor the left side.

$\bold{(x + \frac{13}{5} ) {}^{2} = \frac{289}{25} } \\$

Take square root.

$\bold{x + \frac{13}{5} = ± \: \sqrt{ \frac{289}{25} }} \\$

Then, add (-13)/5 to both sides.

$\bold{x + \frac{13}{5} + \frac{\purple{ - 13} }{\purple{ 5}} = \frac{{ - 13} }{{ 5}} ± \: \sqrt{ \frac{289}{25}}} \\$

$\bold{ \: x = \frac{ - 13}{5} ± \sqrt{ \frac{289}{25} } } \\$

$\implies \: \underline{ \boxed{ \bold{ \frac{4}{5} } \sf \: \: or \: \: \bold{ x = - 6}}} \\$

_______________❖_______________

3 0

2 years ago

Read 2 more answers

The possible results of an experiment are called its

Blizzard [7]

Theoretical probability is determined through a study of the possible outcomes that can occur for the given experiment.

4 0

3 years ago

Out of 50 people each play at least one game badminton or hockey,20 like badminton and 35 like hockey,then find,

taurus [48]

Answer:

20 like badmition

35 like hockey

20+35=45

so only 5 are left that like both

1. 5

2. 35

Hope This Helps!!!

8 0

2 years ago

The monthly cost (in dollars) of water use is a linear function of the amount of water used (in hundreds of cubic feet, hcf). th

adelina 88 [10]

(18,38.98),(29,58.23)
slope = (58.23 - 38.98) / (29 - 18) = 19.25 / 11 = 1.75

y = mx + b
slope(m) = 1.75
use either of ur points...(18,38.98)...x = 18 and y = 38.98
now sub and find b, the y int
38.98 = 1.75(18) + b
38.98 = 31.5 + b
38.98 - 31.5 = b
7.48 = b
so ur equation is : y = 1.75x + 7.48...where x is the amount of water used and y is the monthly cost

so the cost for 23 hcf.....sub in 23 for x
y = 1.75x + 7.48
y = 1.75(23) + 7.48
y = 40.25 + 7.48
y = $ 47.73 <===== ur answer

7 0

3 years ago