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3 years ago

In the diagram, which angles form a linear pair? Check all that apply.

Mathematics

2 answers:

VladimirAG [237]3 years ago

7 0

A linear pair is the angles that lie on a straight line

Line RU ⇒ the angles that make 180° angles are
∠RST and ∠UST
∠RSV and ∠USV

Line VT ⇒ the angles that make 180° angles are
∠VSU and ∠TSU
∠VSR and ∠TSR

The correct answers from the option are:
RST and RSV
RST and TSU
TSU and USV

Arte-miy333 [17]3 years ago

6 0

Answer:1st 2nd 4th

Step-by-step explanation:

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A researcher found the average cost of one and two-bedroom apartments for different cities and graphed the data in a scatter plo

choli [55]

The average cost of a two-bedroom apartment in the city will be about $1135

Step-by-step explanation:

The regression line equation is yˆ=1.377x+137.763 where x is the cost of one-bedroom apartment.

Given that the average cost of one-bedroom apartment is $724, then using this value for x

yˆ=1.377*724+137.763 = 1134.711

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3 years ago

How many 5-digit numbers less than 60000 can be formed by writing the digits 0,3,5,6 and 7 in different orders?

sleet_krkn [62]

Here are all the possible 5 digit answers:

30567 30657 30765 30657 30576 30675

35067 36057 37065 36057 35076 36075

35607 36507 37605 36507 35706 36705

35670 36570 37650 36570 35760 36750

50367 50376 50637 50736 50763 50673

53067 53076 56037 57036 57063 56073

53607 53706 56307 57306 57603 56703

53670 53760 56370 57360 57630 56730

5 0

4 years ago

Find the factors of f(x), given that x = −2 is a zero. HELP PLEASE!!

seropon [69]

Answer:

First Option is correct.

(x+2)(x+3)(x-4)

Step-by-step explanation:

Given:

The given factor is.

$f(x)=x^{3}+x^{2}-14x-24$

We need to find the factors of given factor.

Solution:

$f(x)=x^{3}+x^{2}-14x-24$

Substitute (-4x-10x) in the place of -14x

$f(x)=x^{3}+x^{2}-4x-10x-24$

Rearrange the equation:

$f(x)=(x^{3}-4x)+(x^{2}-10x-24)$

Now we factorised the above equation.

The factors of $x^{2} -10x-24=(x+2)(x-12)$

Now we substitute (x+2)(x-12) in the place of $x^{2} -10x-24$

And in the place of $x^{3}-4x=x(x^{2}-4)$

$f(x)=x(x^{2}-4)+(x+2)(x-12)$

Simplify $x^{2} -4=x^{2} -(2)^{2} = (x+2)(x-2)$

$f(x)=x[(x+2)(x-2)]+(x+2)(x-12)$

Common factor for above function (x+2)

$f(x)=(x+2)[x(x-2)+(x-12)]$

Simplify.

$f(x)=(x+2)[x^{2}-2x+x-12]$

$f(x)=(x+2)(x^{2}-x-12)$

The factor of $x^{2}-x-12=x^{2}-4x+3x-12=x(x-4)+3(x-4)=(x-4)(x+3)$

So the factors of the function.

$f(x)=(x+2)(x-4)(x+3)$

Therefore, the factors of the given function are (x+2)(x-4)(x+3)

4 0

3 years ago

You newton, and Descartes volunteer this summer. You have 2 times as many volunteer min as newton Descartes have 5040 volunteer

fgiga [73]

Complete question is;

You, newton, and Descartes volunteer this summer. You have 2 times as many volunteer min as newton and Descartes. You all have 5040 volunteer min altogether. how many min do you volunteer?

Answer:

2520 volunteer minutes

Step-by-step explanation:

You have 2 times as many volunteer minutes as Newton and Descartes.

Now, if Newton and Descartes each have x volunteer minutes, it means you have 2x volunteer minutes.

Since the total volunteer minutes of the 3 of you is 5040,then we have;

2x + x + x = 5040

4x = 5040

x = 5040/4

x = 1260

Since you have 2x volunteer minutes, then you have: 2 × 1260 = 2520 volunteer minutes

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3 years ago

PLS ANSWER BRAINLIEST IF RIGHT

ivann1987 [24]

thanks bruv 20 characters long

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3 years ago