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2 years ago

The polygons in each pair are similar. Find the missing side length / first one has 4 &x and second one has 12&18

Mathematics

1 answer:

sergiy2304 [10]2 years ago

4 0

Answer:

x = 6

Step-by-step explanation:

To find the missing side, write a proportion using side lengths from each similar shape. A proportion is an equation that sets equal two ratios.

$\frac{4}{12}=\frac{x}{18}$

Find x by cross multiplying numerator and denominator of each fraction.

4(18) = 12x

72 = 12x

6 = x

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-4(3x – 7) = 52 for x.

AURORKA [14]

Answer:

-2

Step-by-step explanation:

-4(3x – 7) = 52

3x-7= -13

3x= -6

x= -2

5 0

2 years ago

What reason should kamal add to all of the question marks in order to completer the proof

brilliants [131]

Answer: The answers is alternate interior angles.

Step-by-step explanation: First of all, the questions marks given in the figure are renamed in the attached figure as (a), (b), (c) and (d).

For (a): Since AC is parallel to A'C' and A'D is a transversal for these two parallel lines, so, ∠CDB' = ∠B'A'C', because these are alternate interior angles.

For (b): Since BC is parallel to B'C' and A'B' is a transversal, so ∠BEB' = ∠A'B'C', because these are alternate interior angles.

For (c): Since AB is parallel to A'B' and AD is a transversal, so ∠BAC = ∠CDB', because these are alternate interior angles.

For (d): Since AB is parallel to A'B' and BE is a transversal, so ∠ABC = ∠BEB', because these are alternate interior angles.

Thus, all the questions marks are the reasons that the given angles are equal because they are alternate interior angles.

5 0

3 years ago

The base of a triangle is represented by (2x − 6) and the height by (x − 2). Which polynomial expression BEST represents the are

BabaBlast [244]

Area of a triangle= $\frac{1}{2} *base*height$
A= $\frac{1}{2} *(2x-6)*(x-2)$
A= $\frac{1}{2} ( 2x^{2} -4x-6x+12)$
A= $x^{2} -2x-3x+6$
A= $x^{2} -5x+6$

7 0

2 years ago

Read 2 more answers

Which is not true 10 + 9 = 7 + 12 10 = 10 10 - 4 = 3 + 3 10 = 19 - 11

Natasha2012 [34]

Answer:

10=19-11

Step-by-step explanation:

that answer is false because 19-11 = 8 not 10

3 0

2 years ago

Read 2 more answers

3. Write the equation. Slope: riset Run y intercept: equation: y=mx+b;

larisa [96]

Answer: y = 1/4 x – 4

OR y = x/4 –4

m is the slope. b is the y-intercept.

Without numbers on the x and y axis, it may not be correct. But assuming a normal scale, the slope is positive 1/4 and the y-intercept is -4

Step-by-step explanation: To find the slope, m, determine "rise over run"

Look for places where the graphed line crosses the grid at intersections. There seems to be such places at (–4,–5), (0,–4) and (4,–3)

The "rise" is the difference in y-values. Here, they increase by 1.

The "run" is the difference in x-values. Here they increase by 4.

So the slope is 1/4. Put that in place of m.

The graphed line crosses the y-axis at –4

That is the y-intercept. Use -4 in the place of b

Keep the y and x; substitute the values for m and b we found.

y = 1/4 x – 4

y = x/4 – 4 This makes it clear that x is not in the denominator of the fraction, 1/4, and in calculations with given coordinates, the value of x will be divided by 4.

3 0

3 years ago