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3 years ago

2(x-3)=2x-6 is an example of which property

Mathematics

1 answer:

Jlenok [28]3 years ago

7 0

2(x-3)=2x-6 This is distributive property.

2(x-3)= 2x - 2*3 = 2x-6

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Whats the most accurate estimation of 65+77

Bogdan [553]

You could round 77 to 80 and 65 to 70 and then add 70 and 80 and you will get 150

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3 years ago

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Yuri [45]

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3 years ago

Simplify the following by removing the brackets: a (b-c)+d (b-c)<br>

netineya [11]

Answer:

ab - ac + db - dc

Step-by-step explanation:

you distribute the variables inside the parenthesis

4 0

3 years ago

70 POINTS!!!!!!!!!! Given: E, F, Q, D∈k(O),O ∈ ED, m∠DFQ = 10°, measure of arc EF = 28° Find: Angles of △EFQ

Likurg_2 [28]

Answer:

The measures of angles of triangle EFQ are

1) $m\angle EFQ=100\°$

2) $m\angle FEQ=66\°$

3) $m\angle EQF=14\°$

Step-by-step explanation:

step 1

Find the measure of arc QD

we know that

The inscribed angle is half that of the arc it comprises.

$m\angle DFQ=\frac{1}{2}(arc\ QD)$

substitute the given value

$10\°=\frac{1}{2}(arc\ QD)$

$20\°=(arc\ QD)$

$arc\ QD=20\°$

step 2

Find the measure of arc FQ

we know that

$arc\ QD+arc\ FQ+arc\ EF=180\°$ ---> because ED is a diameter (the diameter divide the circle into two equal parts)

substitute the given values

$20\°+arc\ FQ+28\°=180\°$

$arc\ FQ=180\°-48\°=132\°$

step 3

Find the measure of angle EFQ

we know that

The inscribed angle is half that of the arc it comprises.

$m\angle EFQ=\frac{1}{2}(arc\ QD+arc\ ED)$

substitute the given value

$m\angle EFQ=\frac{1}{2}(20\°+180\°)=100\°$

step 4

Find the measure of angle FEQ

we know that

The inscribed angle is half that of the arc it comprises.

$m\angle FEQ=\frac{1}{2}(arc\ FQ)$

substitute the given value

$m\angle FEQ=\frac{1}{2}(132\°)=66\°$

step 5

Find the measure of angle EQF

we know that

The inscribed angle is half that of the arc it comprises.

$m\angle EQF=\frac{1}{2}(arc\ EF)$

substitute the given value

$m\angle EQF=\frac{1}{2}(28\°)=14\°$

5 0

4 years ago

Dr. Smith gives his staff a 1 3 bonus if they exceed the quarterly goal. This quarter, they exceeded the goal by $1,500. Select

Temka [501]

If the staff bonus is 1/3 of what they exceeded you would have to take the amount they exceeded by and divide it by three

1,500/3= 500

The staff bonus would be $500 :)

5 0

4 years ago