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3 years ago

Find the value of x. correct answer please

Mathematics

1 answer:

liq [111]3 years ago

5 0

Answer:

$x = \sqrt{30}$

Step-by-step explanation:

By Geometric mean property:

$BD = \sqrt{3 \times 7} \\ BD = \sqrt{21} \\ by \: pythagoras \: theorem \\ {x}^{2} = { (\sqrt{21}) }^{2} + {(3)}^{2} \\ {x}^{2} = 21 + 9 \\ {x}^{2} = 30 \\ x = \sqrt{30}$

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ABCD is a quadrilateral inscribed in a circle, as shown below:

malfutka [58]

Answer:

Option 4: <u>(2x + 16)° + (x)° = 180°</u>

Step-by-step explanation:

See the attached figure.

For a quadrilateral inscribed in a circle

The opposite angles are supplementary.

So, ∠D + ∠B = 180°

From the figure:

∠B = x° and ∠D = (2x+16)°

∴ <u>(2x + 16)° + (x)° = 180°</u>

4 0

3 years ago

Goal

morpeh [17]

The development of the personal budget that convinces parents that one can maintain an independent living is detailed as follows using the 50: 30: 20 rule:

50% for necessities (housing, food, transportation, utilities) $740

30% for luxuries, savings, vacations, entertainment, etc. $461

20% for Emergency Funds and Retirement $335

<h3>What is a personal budget?</h3>

A personal budget is the household budget for a single person for a period.

The personal budget shows an estimate of the person's revenue and expenses over the period.

<h3>Data and Calculations:</h3>

Hourly rate of earnings = $12

Working hours per week = 40 hours

Working hours per month = 160 hours (40 x 4 weeks)

Total monthly earnings = $1,920 ($12 x 160)

Assumed tax rate = 20%

After-tax take-home pay = $1,536 ($1,920 x 1 - 20%)

<h3>Monthly Necessities:</h3>

Rent of apartment = $300

Heating = $40

Water cost = $20

Sewage bill = $10

Food = $300

Transportation = $50

Other costs = $20

Total cost for necessities = $740

Thus, the development of the personal budget shows that one can maintain an independent living from the parents as a single person.

Learn more about personal budgets at brainly.com/question/1943261

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6 0

2 years ago

An ice cream shop owner pays $0.12 per regular cone and $0.23 per waffle cone. Customers are allowed to choose which type of ice

kirill [66]

Answer:

Last week the owner spend <u>$42.32</u> on waffle cones.

Step-by-step explanation:

Given:

An ice cream shop owner pays $0.12 per regular cone and $0.23 per waffle cone. Customers are allowed to choose which type of ice cream cone they would prefer.

If two thirds of the 276 vibes sold last week were waffle cone.

Now, to find the amount the owner spend on waffle cones last week.

Last week waffle cone sold were = $\frac{2}{3}\ of\ 276.$