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2 years ago

Use the diagram to find the measure of each of the angles.

Mathematics

2 answers:

just olya [345]2 years ago

8 0

Angle AQB is x = 90

Angle ASB is x = 90

Angle ALB is x = 90

Angle ATB is x = 90

Angle ARB is x = 90

BWD is x < 90

Elis [28]2 years ago

7 0

Answer:

If an angle is inscribed in a semicircle, it will be half the measure of a semicircle (180°), that is, measuring 90 degrees.

According to the given diagram,

Q, S, L, T, R and W are the points of the circumference of the circle having center O,

Also, AB is the diameter of the given circle,

∠AQB, ∠ASB, ∠ALB, ∠ATB, ∠ARB and ∠AWB are the angles on the semicircle,

Thus, by the above property,

m∠AQB = 90°

m∠ASB = 90°

m∠ALB = 90°

m∠ATB = 90°

m∠ARB = 90°

m∠AWB = 90°

If m∠BWD = x

Since, By the diagram,

m∠BWD < m∠AWD

⇒ m∠BWD < 90°

⇒ x < 90°

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Susan, a recent college graduate, makes a base salary of $70,000 per year. Susan has federal income tax withholding of $12,000,

Damm [24]

Answer:

Susan's take-home pay $48,645.

Step-by-step explanation:

Given:

Susan, a recent college graduate, makes a base salary of $70,000 per year. Susan has federal income tax withholding of $12,000, and state tax withholding of $4,000. Employers are required to withhold a 6.2% Social Security tax and a 1.45% Medicare tax.

Now, to find Susan's take-home pay.

Basic salary = $70,000.

Now, her tax withholdings:

Federal income tax = $12,000.

State tax = $4,000.

Social security tax = 6.2% of $70,000.

$=\frac{6.2}{100} \times 70,000\\\\=0.062\times 70,000\\\\=\$4340.$

Medicare tax = 1.45% of $70,000.

$=\frac{1.45}{100} \times 70000\\\\=0.0145\times 70000\\\\=\$1015.$

Now, to get the take-home pay of Susan's we subtract all the tax holdings of federal, state, social and medicare from the basic salary:

$70,000-(12,000+4,000+4340+1015)$

$=70,000-(21,355)$

$=70,000-21,355$

$=\$48,645.$

Therefore, Susan's take-home pay $48,645.

7 0

2 years ago

IF AM = 10, then TC =?

iren [92.7K]

Hey there,

If $AM$ = 10

We do 180 - 10.

And that would give us 170°

$TC=170$

Hope this helps.
~Jurgen

6 0

2 years ago

Read 2 more answers

What is the domain of the given function? {(3,-2), (6, 1), (-1,4), (5,9), (-4,0)}

grandymaker [24]

Answer:

D = { -4,-1,3,5,6}

Step-by-step explanation:

The domain is the x values or the inputs

D = { 3,6,-1,5,-4}

We normally put them in order from smallest to largest

D = { -4,-1,3,5,6}

4 0

2 years ago

Researchers studying the effectiveness of a diet on heart disease divided the study's participants into two groups—those with Ty

madreJ [45]

Answer:

The correct option is A) Nominal.

Step-by-step explanation:

Consider the provided information.

Researchers studying the effectiveness of a diet on heart disease divided the study's participants into two groups those with Type A personalities and those with Type B personalities.

Type of measurement scales:

Ratio: We can compare quantity as a multiple of one another.

For example: A father's weight is twice to his son.

Interval: Interval is the measurement scale in which each of the position is equidistant from another.

Level of excitement, rated from 1 to 5.

Ordinal: Ordinal measurement scale in which sets are in order by their position.

For example: First, second, third in a competition.

Nominal: Nominal data are objects distinguished by a straightforward scheme of naming.

For example: The employees in a office can be male or female.

Now, from the above definition it is clear that the type of measurement scale which can depict the scenario is Nominal.

Hence, the correct option is A) Nominal.

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2 years ago

Papessa [141]

Answer: can you explain what you mean because its just numbers

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2 years ago