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frez [133]
3 years ago
8

The triangles are similar by the AA Similarity Postulate. Find the value of x.

Mathematics
2 answers:
cricket20 [7]3 years ago
3 0
Line x is the midsegment of the triangle.

5/2= 2.5

I hope this helps!
~kaikers
CaHeK987 [17]3 years ago
3 0

Answer: 2.5

Step-by-step explanation:

Given: The triangles in the picture are similar by the AA Similarity Postulate.

We know that is two triangles are similar triangles then its corresponding sides are proportional [Larger side is proportional to larger side of another triangle or vise versa].

\Rightarrow\frac{x}{5}=\frac{3}{3+3}\\\\\Rightarrow\frac{x}{5}=\frac{3}{6}\\\\\Rightarrow x=\frac{1}{2}\times5\\\\\Rightarrow x=2.5

Hence, the value of x is 2.5 .

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Pls help...<br><br>solve for x in the following...pls explain <br><br>a)7x+5=3x-1<br>b)5x+12=3x+14​
yKpoI14uk [10]

Answer:

a) x = -1.5

b) x = 1

Step-by-step explanation:

For problem a, you can start by subtracting 3x from both sides to gather all the like terms together:

7x + 5 = 3x - 1

-3x         -3x

4x + 5 = -1

Next, to get the coefficients on one side, you subtract 5 from both sides:

4x + 5 =  -1

    -5      -5

4x = -6

Now, you divide by 4 on both sides to isolate x:

x = -6/4 = -1.5 --- > x = -1.5

For problem b, you start by subtracting 3x from both sides(kinda like problem a):

5x + 12 = 3x + 14

-3x          -3x

2x + 12 = 14

Next, you can subtract 12 from both sides, isolating the "x term".

2x + 12 = 14

       -12  -12

2x = 2

Lastly, you can divide by 2 to get x:

x = 1

7 0
3 years ago
Read 2 more answers
Randolph is creating rectangle WXYZ so that WX has equation of y = 1/4x + 4. Segment XY must pass through the point (-2,6). Whic
Bond [772]

Answer:

A. y - 6 = ¼(x - (-2))

Step-by-step explanation:

Equation of a line can be represented in the point-slope form, y - b = m(x - a),

Where, (a, b) is a point that the line passes through, and m is the slope of the line.

The equation of line WX, is given in the slope-intercept form, y = mx + b. Which is y = ¼x + 4.

Thus, the slope (m) = ¼.

Since we know the value of m = ¼, and we have a point that the line runs through, (a, b) = (-2, 6), let's write the equation in point-slope form by substituting m = ¼, a = -2, and b = 6 into y - b = m(x - a).

We have:

y - 6 = ¼(x - (-2))

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3 years ago
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Answer:

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