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3 years ago

How do you solve this

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

8 0

Answer:

(AD)=SQRT(20n^2+34-4n)

Step-by-step explanation:

let the point of intersection between AC and DB be O. Then the length of OA is the same as that of OC which is=2n+5

Similarly the length of DO is the same as that of OB which is=4n-3

Now from Pathagoras theorem we get

(AD)=SQRT((DO)^2+(OA)^2)

(AD)=SQRT((4N-3)^2+(2N+5)^2)

(AD)=SQRT((16n^2+9-24n)+(4n^2+25+20n))

(AD)=SQRT(20n^2+34-4n)

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RideAnS [48]

Answer:

2- Supplementary

Step-by-step explanation:

Since both Angles A and C lie on the same line, they are supplementary. Supplementary angles add up to 180°.

Congruent angles are equal. Here, if Angles A and C are congruent, they would be 180° ÷ 2 = 90° each, so congruent is the wrong answer.

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3 years ago

The ages of four sisters are consecutive even integers. Two times the age of the youngest sister exceeds the oldest sister's age

sasho [114]

Alright, lets get started.

The ages of all four sisters will be = x, x+2, x+4, x+6

As per given in question, two times of youngest sister age exceeds the oldest sister age by 30 means

$2x - 30 = (x+6)$

Simplifying the equation

$2x - (x+6) = 30$

$2x - x - 6 = 30$

$x = 36$

So this is the age of youngest sister.

So, age of oldest sister will be $x + 6 = 36 + 6 = 42$

Hene the age of oldest sister is 42 years. : Answer

Hope it will help :)

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3 years ago

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LenKa [72]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

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Is below because the symbol of the inequality is less

Is a solid line because the line is included in the solution

The equation of the solid line is $y=2-(1/3)x$

To graph the solution find the intercepts

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For y=0, x=6 --------> point (6,0)

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see the attached figure

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