Mathematics, 04.07.2019 09:30 Tyrant4life

Find the sum. write your answer in the simplest form. show your work

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Answer from: codycollier

$\frac{(x+4)}{x(x+2)}$

Step-by-step explanation:

$\frac{x-4}{x^2-2x} + \frac{4}{x^2-4}$

Start by factorizing the denominators of both the terms to get:

$\frac{x-4}{x(x-2)} + \frac{4}{(x+2)(x-2)}$

Now take the LCM for both the terms to get:

$\frac{(x-4)(x-2)}{x(x-2)(x+2)} + \frac{4x}{(x-2)(x-2)x}$

Combine the fractions to get:

$\frac{(x-4)(x-2)+4x}{x(x-2)(x+2)}$

Factor 4x + (x - 4) (x + 2) to get:

$\frac{(x-2)(x+4)}{x(x-2)(x+2)}$

Cancelling the term (x - 2) to get the sum:

$\frac{(x+4)}{x(x+2)}$

Answer from: Quest

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

$\frac{48}{4}$ = 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls

Answer from: Quest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

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